The Future of Smart Components: A Technical Guide to 4D-Printed Mechanical Metamaterials

This technical summary is based on the academic paper "3D printing of active mechanical metamaterials: A critical review" published by Muhammad Yasir Khalid, Zia Ullah Arif, Ali Tariq, Mokarram Hossain, Rehan Umer, and Mahdi Bodaghi. It was analyzed and summarized for HPDC experts by CASTMAN experts with the help of LLM AI such as Gemini, ChatGPT, and Grok.

Figure 2. Metamaterials innovations: (a) Buckling-regulated origami materials ((i) 316 L stainless steel, (ii) PC Plastic and (iii) hexagonal honeycomb made of 316 L stainless steel) with synergy of deployable and undeployable features (adapted from ref. [33] copyright 2023 2023 Elsevier Ltd.); (b) 3D-printed broadband mechanical metamaterial absorber bestowed with dual-functionality of electromagnetic wave absorption and reinforced relative stiffness (adapted from ref. [34]); (c) Continues shape morphing mode of the curved crease origami metamaterial comprising of n1 stacked unit cells in the in-plane transverse direction, n2 in the in-plane longitudinal direction and n3 in the stacking thickness direction (adapted from ref. [35] copyright 2023 Elsevier Ltd.); (d) Decoupling-enabled porous multifunctional metamaterials sample with microstructural characteristics: the re-entrant unit, resonant plate, strut, and micro-perforation (adapted from ref. [36] under Creative Commons Attribution-Non Commercial 3.0 Licence); (e) Voronoi-based body-centered cubic, Voronoi-based regular octahedral cubic, Voronoibased body- and face-centered cubic-based metamaterials fabricated via LBF 3D printing process for bone implant applications (adapted from ref. [37] copyright 2024 Elsevier Ltd.); (f) Novel three facecentered cubic (FCC) lattice-based mechanical metamaterials inspired by atoms’ packing and bamboo's hollow features developed from SLM of Ti-6Al-4V with high fidelity (adapted from ref. [38]); (g) 3D-printed tessellated origami-based material with a pair of opposite chirality unit cells (adapted 5 from ref. [39]); (h) Novel mechanical metamaterial based on a fishbone-like structure with polar and dual deformation characteristics allowing surface structure to be hard while its opposite side is soft, and adaption of tasks to different load levels on the soft side (adapted from ref. [40] copyright, 2023 Elsevier Ltd.); (i) The geometrical configurations of two types (wall replaced and wall added)of origamiembedded honeycombs structures for improved energy absorption performance (adapted from ref. [41] copyright, 2023 Elsevier Ltd.); (j) Cubically symmetric mechanical metamaterials from 3-space geometrical shadows of 4D geometries (4-polytopes) with various cells (figures are arranged from left to right) such as 5-cell, 8-cell, 16-cell, and 24-cell, and extra structures such as gyroid, and hexagonal honeycomb employed as “comparative experimental controls” (adapted from ref. [42]).
Figure 2. Metamaterials innovations: (a) Buckling-regulated origami materials ((i) 316 L stainless steel, (ii) PC Plastic and (iii) hexagonal honeycomb made of 316 L stainless steel) with synergy of deployable and undeployable features (adapted from ref. [33] copyright 2023 2023 Elsevier Ltd.); (b) 3D-printed broadband mechanical metamaterial absorber bestowed with dual-functionality of electromagnetic wave absorption and reinforced relative stiffness (adapted from ref. [34]); (c) Continues shape morphing mode of the curved crease origami metamaterial comprising of n1 stacked unit cells in the in-plane transverse direction, n2 in the in-plane longitudinal direction and n3 in the stacking thickness direction (adapted from ref. [35] copyright 2023 Elsevier Ltd.); (d) Decoupling-enabled porous multifunctional metamaterials sample with microstructural characteristics: the re-entrant unit, resonant plate, strut, and micro-perforation (adapted from ref. [36] under Creative Commons Attribution-Non Commercial 3.0 Licence); (e) Voronoi-based body-centered cubic, Voronoi-based regular octahedral cubic, Voronoibased body- and face-centered cubic-based metamaterials fabricated via LBF 3D printing process for bone implant applications (adapted from ref. [37] copyright 2024 Elsevier Ltd.); (f) Novel three facecentered cubic (FCC) lattice-based mechanical metamaterials inspired by atoms’ packing and bamboo's hollow features developed from SLM of Ti-6Al-4V with high fidelity (adapted from ref. [38]); (g) 3D-printed tessellated origami-based material with a pair of opposite chirality unit cells (adapted 5 from ref. [39]); (h) Novel mechanical metamaterial based on a fishbone-like structure with polar and dual deformation characteristics allowing surface structure to be hard while its opposite side is soft, and adaption of tasks to different load levels on the soft side (adapted from ref. [40] copyright, 2023 Elsevier Ltd.); (i) The geometrical configurations of two types (wall replaced and wall added)of origamiembedded honeycombs structures for improved energy absorption performance (adapted from ref. [41] copyright, 2023 Elsevier Ltd.); (j) Cubically symmetric mechanical metamaterials from 3-space geometrical shadows of 4D geometries (4-polytopes) with various cells (figures are arranged from left to right) such as 5-cell, 8-cell, 16-cell, and 24-cell, and extra structures such as gyroid, and hexagonal honeycomb employed as “comparative experimental controls” (adapted from ref. [42]).

Keywords

  • Primary Keyword: 4D-Printed Mechanical Metamaterials
  • Secondary Keywords: Shape-Memory Polymers, Metamaterial Design Optimization, Energy Absorbing Metamaterials, Smart Actuators, Self-Deployable Structures, Biomedical Metamaterials, Additive Manufacturing

Executive Summary

  • The Challenge: Conventional 3D printing creates static parts, limiting the development of adaptive, lightweight, and multifunctional components that can respond to their environment.
  • The Method: This critical review analyzes the synergy between 4D printing (3D printing + time/stimuli) and smart materials to create active mechanical metamaterials whose properties are defined by their intricate, engineered internal structures.
  • The Key Breakthrough: These materials can be programmed to change shape, absorb energy, and perform complex functions—like actuation or self-deployment—in response to external stimuli such as heat, moisture, or magnetic fields.
  • The Bottom Line: 4D-printed mechanical metamaterials offer a new paradigm for creating lightweight, intelligent, and reconfigurable components for advanced applications in aerospace, biomedical, and robotics, providing a roadmap for the future of advanced manufacturing.

The Challenge: Why This Research Matters for HPDC Professionals

For decades, additive manufacturing (AM), or 3D printing, has revolutionized how we design and fabricate complex components [1]. However, its primary limitation has been its inability to produce shape-morphing and adaptive products [15]. The parts are static. Simultaneously, a new class of "metamaterials" has emerged—materials that derive extraordinary properties not from their chemical composition, but from their carefully engineered internal structures [16].

However, manufacturing these highly complex internal structures at the micro-scale is extremely challenging using traditional methods [22]. This is where 4D printing comes in. It addresses the limitations of both 3D printing and conventional manufacturing by introducing a fourth dimension: time. By printing with "smart materials," we can create components that transform their shape, properties, and function when exposed to a specific stimulus [44]. This review consolidates the latest progress in this field, providing valuable insights for any engineer or designer focused on creating the next generation of high-performance, lightweight, and intelligent components.

The Approach: Unpacking the Methodology

To map out this rapidly evolving field, the researchers conducted a critical review of the current state of 4D-printed mechanical metamaterials. The study provides a comprehensive overview of the core components of this technology, as summarized in Figure 3:

  • Smart Materials & Stimuli: Examining materials like shape-memory polymers (SMPs) that react to triggers such as heat, water, and electric fields.
  • Printing Methods: Reviewing the AM techniques (FDM, DIW, DLP, etc.) used to fabricate these intricate structures.
  • Design & Optimization: Analyzing how advanced tools, including machine learning, are used to design and optimize metamaterial structures.
  • Functionalities & Applications: Detailing the resulting capabilities (e.g., shape-morphing, energy absorption) and their use in real-world applications like smart actuators, biomedical devices, and self-deployable structures.

The Breakthrough: Key Findings & Data

The review highlights several key breakthroughs that are making these futuristic materials a reality today.

  • Finding 1: Programmable Shape-Morphing: 4D printing's defining characteristic is its ability to induce shape-morphing in response to an external stimulus [68]. A component can be printed in one shape, and then transform into a new, permanent or temporary shape when exposed to triggers like heat, light, or moisture [63]. This process is demonstrated in the shape memory cycle of a 4D-printed SMP microlattice, which can be deformed and later recover its original shape with heating, as shown in Figure 6(a).
  • Finding 2: Structure-Driven Performance: Metamaterials achieve unique properties like negative Poisson's ratio (auxetics), high strength-to-weight ratios, and tailored stiffness through their engineered internal geometry, often using lattice, origami, or chiral patterns [77, 81]. These "geometrical innovations," shown in Figure 2, allow designers to create materials with capabilities far exceeding their constituent polymers or metals.
  • Finding 3: AI-Powered Design Optimization: The complexity of metamaterial design requires advanced computational tools. The paper highlights the crucial role of Machine Learning (ML) in discovering and optimizing these structures [117]. For example, researchers used ML to discover atomistic families of disordered mechanical metamaterials (Figure 7(a)) and to systematically design highly tunable lattice structures with desired isotropic and auxetic properties (Figure 7(d₁), 7(d₂)) [118, 121].
  • Finding 4: Transformative Real-World Applications: The unique capabilities of 4D-printed metamaterials are enabling novel devices across multiple industries. Key applications reviewed include smart actuators like a soft gripper that can unscrew a bottle cap (Figure 13(a)), biomedical devices such as deployable vascular stents that conform to arteries (Figure 15(a₁, a₂)), and self-deployable structures for reconfigurable space robots and habitats (Figure 16(c)).

Practical Implications for HPDC Products

While this review focuses primarily on polymer-based additive manufacturing, the core principles offer powerful insights for the future of high-performance metal components, including those produced by HPDC.

  • For Process Engineers: The principles of using stimuli-responsive materials are directly applicable to metals. The paper discusses Shape Memory Alloys (SMAs) [48], which can be processed with advanced manufacturing. Furthermore, the review details the 3D printing of metal metamaterials from Ti-6Al-4V and 316L stainless steel (Figure 2(f) and Figure 2(a) respectively), demonstrating that these complex geometries are not limited to polymers. This points to a future where metal components could possess programmable, shape-changing capabilities.
  • For Quality Control: The heavy reliance on ML and computational simulation for metamaterial design (Section 3.3) reinforces the value of a data-driven approach to manufacturing. Applying similar ML models to HPDC can help predict and control final mechanical properties with greater precision, reducing costly trial-and-error cycles.
  • For Die Design: The most significant takeaway is the concept of engineering performance through geometry. The ability to design materials with specific properties like high energy absorption, vibration damping, or a high strength-to-weight ratio by manipulating their internal lattice structure [81, 82] is revolutionary. This moves beyond simple topology optimization and opens the door to designing die-cast parts with complex, functional internal structures for superior performance and lightweighting.

Paper Details


3D printing of active mechanical metamaterials: A critical review

1. Overview:

  • Title: 3D printing of active mechanical metamaterials: A critical review
  • Author: Muhammad Yasir Khalid, Zia Ullah Arif, Ali Tariq, Mokarram Hossain, Rehan Umer, Mahdi Bodaghi
  • Year of publication: Not specified, appears to be a recent review (references up to 2024).
  • Journal/academic society of publication: Not specified in the provided document.
  • Keywords: 3D/4D printing, mechanical metamaterials, deployable structures, smart grippers, biomedical devices

2. Abstract:

The emergence of mechanical metamaterials from 4D printing has paved the way for developing advanced hierarchical structures with superior multifunctionalities. In particular, 4D-printed mechanical metamaterials exhibit extraordinary mechanical performance by integrating multiphysics stimuli with advanced structures when actuated by external factors, thereby altering their shapes, properties, and functionalities. This critical review offers readers a comprehensive overview of the rapidly growing 4D printing technology for developing novel mechanical metamaterials. It provides essential information about the multifunctionalities of 4D-printed mechanical metamaterials, including energy absorption and shape-morphing behavior in response to physical, chemical, or mechanical stimuli. These capabilities are key to developing smart and intelligent structures for multifunctional applications such as biomedical, photonics, acoustics, energy storage, and thermal insulation. The primary focus of this review is to describe the structural and functional applications of mechanical metamaterials developed through 4D printing. This technology leverages the shape-shifting functions of smart materials in applications such as micro-grippers, soft robots, biomedical devices, and self-deployable structures. Additionally, the review addresses current progress and challenges in the field of 4D-printed mechanical metamaterials. In conclusion, recent developments in 4D-printed mechanical metamaterials could establish a new paradigm for applications in engineering and science.

3. Introduction:

3D printing has revolutionized modern manufacturing, but its primary drawback is the inability to produce shape-morphing and adaptive products [15]. Metamaterials, which are artificially engineered materials, offer complex properties based on their structure rather than composition [16]. However, creating these complex internal structures with traditional manufacturing is very challenging [22]. The emergence of 4D printing, which incorporates time as a fourth dimension by using smart, stimuli-responsive materials, allows for the creation of functional and adaptive structures that traditional 3D printing cannot achieve [43, 44]. This review consolidates the latest progress in 4D-printed mechanical metamaterials, focusing on their multifunctionality and applications.

4. Summary of the study:

Background of the research topic:

The study is situated at the intersection of two cutting-edge technologies: advanced additive manufacturing (4D printing) and materials science (mechanical metamaterials). While 3D printing has revolutionized manufacturing, it produces static objects [15]. Metamaterials offer unprecedented properties but are hard to fabricate traditionally [22].

Status of previous research:

Previous research has established 4D printing as a viable method for creating structures that change over time in response to stimuli [48]. Research has also shown that 3D-printed metamaterials can exhibit impressive properties like high strength density ratios and negative Poisson's ratios [30, 31]. However, a comprehensive consolidation of the progress, especially focusing on multifunctionality and design optimization via new tools like AI, was needed.

Purpose of the study:

The primary purpose is to offer a comprehensive overview of the rapidly growing field of 4D-printed mechanical metamaterials. The review aims to describe the structural and functional applications, highlight multifunctionalities like energy absorption and shape-morphing, and discuss current progress, challenges, and future prospects to establish a new paradigm for engineering and science applications (Abstract).

Core study:

The core of the study is a critical review that systematically covers:

  • The fundamentals of 4D printing and mechanical metamaterials.
  • The types of smart materials and stimuli used.
  • Design and structure optimization techniques, including the use of AI tools.
  • Key functional abilities, such as shape-memory and energy absorption.
  • Major application areas, including smart actuators, biomedical devices, and self-deployable structures.

5. Research Methodology

Research Design:

The research is designed as a critical review of existing academic and scientific literature.

Data Collection and Analysis Methods:

The authors synthesized information from a wide range of published papers to identify key trends, technologies, challenges, and future directions in the field of 4D-printed mechanical metamaterials. The organization of the review is guided by keywords sourced from the Scopus database, as visualized in Figure 1.

Research Topics and Scope:

The scope is broad, covering the entire ecosystem of 4D-printed mechanical metamaterials. Topics include the underlying technologies (AM methods), the materials (SMPs, SMAs, gels), the design principles (origami, chiral, optimization), the key properties (shape-morphing, energy absorption), and the primary applications (actuators, biomedical, deployable structures), as outlined in Figure 3.

6. Key Results:

Key Results:

  • 4D printing combines AM technology with smart materials, enabling the fabrication of structures that can change shape and function over time in response to stimuli like heat, light, moisture, and magnetic fields [48, 49].
  • Mechanical metamaterials derive their properties (e.g., negative Poisson's ratio, high stiffness, negative compressibility) from their engineered unit cell structure, not just their base material composition [75, 77].
  • Novel design approaches like origami and kirigami, combined with 4D printing, create reconfigurable and innovative metamaterials with practical importance [79].
  • Machine learning (ML) and AI are becoming essential for optimizing the complex structural designs of metamaterials to achieve desired functionalities and properties, reducing the need for extensive experimentation [117, 122].
  • Key applications of this technology are emerging in fields like soft robotics (smart actuators, Figure 13), biomedical engineering (deployable stents, Figure 15), and aerospace (self-deployable structures, Figure 16).
  • These materials exhibit remarkable energy absorption and shape memory performance, making them ideal for applications requiring vibration isolation, impact protection, and reconfigurability [128, 130].

Figure Name List:

Figure 5. Overview of metamaterial design from 1D to 4D [92]
Figure 5. Overview of metamaterial design from 1D to 4D [92]
Figure 12. (a) The as-printed structures that transmit only visible light with limited wavelength range due to upright grids (left) function as a structural colour filter, next is structures deformation at high temperature flattens the nanostructures (right) interpreting it colourless, where it remains in an invisible state after cooling to room temperature and finally a demonstration of 4D printing (shape morphing behvaiour) where heating recovers both colour of nanostructures and the original geometry at submicron level [139]; (b) Demonstration of energy absorbing 4D printed meta-sandwich structures: load cycles and shape recovery [140]; (C1-C2) Comparison of various gyroid and cubic Spinodal structure for various energy levels and subsequent shape recovery performance, (c2) Diamond structure at different energy levels and impact heights [141].
Figure 12. (a) The as-printed structures that transmit only visible light with limited wavelength range due to upright grids (left) function as a structural colour filter, next is structures deformation at high temperature flattens the nanostructures (right) interpreting it colourless, where it remains in an invisible state after cooling to room temperature and finally a demonstration of 4D printing (shape morphing behvaiour) where heating recovers both colour of nanostructures and the original geometry at submicron level [139]; (b) Demonstration of energy absorbing 4D printed meta-sandwich structures: load cycles and shape recovery [140]; (C1-C2) Comparison of various gyroid and cubic Spinodal structure for various energy levels and subsequent shape recovery performance, (c2) Diamond structure at different energy levels and impact heights [141].
  • Figure 1. Summary of keywords associated with metamaterials (These keywords appear in the title or as separate keywords while searching for 3D/4D printing of mechanical metamaterials during this current review planning and organization from the Scopus database)
  • Figure 2. Metamaterials innovations: (a) Buckling-regulated origami materials ((i) 316 L stainless steel, (ii) PC Plastic and (iii) hexagonal honeycomb made of 316 L stainless steel) with synergy of deployable and undeployable features (adapted from ref. [33] copyright 2023 2023 Elsevier Ltd.); (b) 3D-printed broadband mechanical metamaterial absorber bestowed with dual-functionality of electromagnetic wave absorption and reinforced relative stiffness (adapted from ref. [34]); (c) Continues shape morphing mode of the curved crease origami metamaterial comprising of n1 stacked unit cells in the in-plane transverse direction, n2 in the in-plane longitudinal direction and n3 in the stacking thickness direction (adapted from ref. [35] copyright 2023 Elsevier Ltd.); (d) Decoupling-enabled porous multifunctional metamaterials sample with microstructural characteristics: the re-entrant unit, resonant plate, strut, and micro-perforation (adapted from ref. [36] under Creative Commons Attribution-Non Commercial 3.0 Licence); (e) Voronoi-based body-centered cubic, Voronoi-based regular octahedral cubic, Voronoi-based body- and face-centered cubic-based metamaterials fabricated via LBF 3D printing process for bone implant applications (adapted from ref. [37] copyright 2024 Elsevier Ltd.); (f) Novel three face-centered cubic (FCC) lattice-based mechanical metamaterials inspired by atoms' packing and bamboo's hollow features developed from SLM of Ti-6Al-4V with high fidelity (adapted from ref. [38]); (g) 3D-printed tessellated origami-based material with a pair of opposite chirality unit cells (adapted from ref. [39]); (h) Novel mechanical metamaterial based on a fishbone-like structure with polar and dual deformation characteristics allowing surface structure to be hard while its opposite side is soft, and adaption of tasks to different load levels on the soft side (adapted from ref. [40] copyright, 2023 Elsevier Ltd.); (i) The geometrical configurations of two types (wall replaced and wall added) of origami-embedded honeycombs structures for improved energy absorption performance (adapted from ref. [41] copyright, 2023 Elsevier Ltd.); (j) Cubically symmetric mechanical metamaterials from 3-space geometrical shadows of 4D geometries (4-polytopes) with various cells (figures are arranged from left to right) such as 5-cell, 8-cell, 16-cell, and 24-cell, and extra structures such as gyroid, and hexagonal honeycomb employed as “comparative experimental controls” (adapted from ref. [42]).
  • Figure 3. Overview of 4D-printed metamaterials with special attention towards its multifunctionalities covered in the current review theme
  • Figure 4. Demonstration of constrained shape recovery and the relationship among stress (σ), strain (ε) and temperature (T) under thermomechanical test. Loading at high temperature (curve 1-2):, fixing: Curve 3-4: unloading at low temperature (curve 2-3). Fully constrained shape recovery (curve 4-5). Partially constrained shape recovery (curve 4-6) [72].
  • Figure 5. Overview of metamaterial design from 1D to 4D [92].
  • Figure 6. (a) Demonstration of shape memory cycle of a 4D-printed SMP microlattice through shape programming under heating, deformation and cooling, and its recovery to original shape under heating [102]; (b) Representation of different programmable hygroscopic deformation modes based on an anti-tetrachiral structure with hygroscopic gradient, shearing and bending deformation modes at 20% RH (left side) and 80% RH (right side) [104]; (c) The demonstration of potential applications of PRMMs such as a free-falling test of the PRMM and physical illustration of energy dissipation of PRMMs [108]; (d) 3D stair-stepping mechanical metamaterials (SMM) with multiple pathways to zero stiffness enriched with vibration isolation characteristics: three-level structure of the SMM in the initial state (state I) and the programmed state (state II) which was produced by applying the shape memory effect of SMP or adding extra mass [109]; (e) Demonstration of flat panels morphing into foldable structures (the targeted shape), for making them as novel self-expandable structures [110]; (f) Illustration of the gripper functional configuration by sequence control through the temporary shape and the whole working process of the robotic gripper [111].
  • Figure 7. (a) Representation of fabrication at atomistic scale architecting disordered metamaterials ordered topology which is locally equilibrated by its forcefield, and the pores are randomly introduced into the network to mimic the formation of imperfect crystal which is analogous to conventionally ordered metamaterials from melt quenching [118]; (b) Demonstration of different configurations of the metamaterial started from its fully-closed state to the states of full extension in horizontal and vertical directions. Each unit cell contains four triangles (denoted in light blue) and four trapeziums (indicated in pink) [119]; (c) Design strategy of the inclined-strut optimized mechanical metamaterials [120]; (d1) Input classification was based on different cubic symmetric input cells (eight types) coded in various colors from A to H, finally the multi-objective optimization achieved through an auxetic and isotropic lattice structure, using a stiffness map this transition schematic illustrate, A sphere (bottom left) evolves from an arbitrary shape (top right), indicating perfect isotropy and the colors gradually shift from a high Poisson's ratio (red) to auxeticity (blue), (d2) Insets show how structures evolve towards isotropic (perfect sphere shape) and auxetic (blue color) configurations as iterations increase [121].
  • Figure 8. (a1) Self-deformable soft metamaterials for bidirectional zero Poisson ratio substrates in stretchable displays and demonstrate large axial stretching of pristine elastomer (PE) (positive Poisson ratio) and ME (zero Poisson ratio) substrates and (a2) illustration of the unit cell deformation patterns of rigid and soft metamaterial frames under bidirectional stretching along the x-y axes (adapted from ref. [124]); (b₁) Demonstration of novel metamaterial unit cell designs such as the inspiration source, the primary unit cells, and finally the optimization process; (b2) The multifunctional performance of metamaterials demonstrating including superior flexibility deformation, zero Poisson's ratio and superelasticity (adapted from ref. [125]).
  • Figure 9. (a) The demonstration of the shape memory process representing the reconfiguration process under static response in which static mechanical properties of printed metamaterials reconfiguring from positive stiffness to zero stiffness and from zero stiffness to positive stiffness while printed metamaterial customizability and reconfigurability were evaluated through vibration isolation performance and cushioning under dynamic response [128]; (b1-b2) 4D-printed cellular metamaterials shape memory cycle representing (b1) Time-displacement curve from which three cellular metamaterials were heated at 70°C and compressed 30 mm at the same loading rate in the first 480s after that temperature is uniformly lowered from 70°C to ambient temperature under the cooling stage, (b2) Graph of recovery time-shape recovery rate. The structure's shape recovers from the 480s to the 1080s in (b1), and as the temperature rises from 25°C to 70°C, the cellular metamaterial begins to return to its original shape due to the glass-rubber transition. This stimulates the shape memory effect of the cellular metamaterial [129]; (C1-C2) TMP origami metamaterials during compression demonstrating shape memory behaviour (c1) Thermomechanical cycle graphs, (c2) Simulation and experimental results for shape-memory behaviour [130]; (d) Description of the programmable and reconfigurable performance of the metamaterials, such as the stretching and heating recovery process and the compressing and heating recovery process [131].
  • Figure 10. (a) Demonstration of shape morphing of DIW-printed structures with bilayer filament and negative stiffness effect of typical structures under compression with stacked bilayer filaments [132]; (b1-b3) Thermal stimulation process for 3D-printed samples, (b1) 3D-printed flat structure, (b2) structure after thermal stimulation, (b3) Representation of deformation process during heat treatment [133]; (c) Demonstration of shape-transformation of lattice metamaterials while comparing simulation and experiment results [135]; (d) Representation of SME under thermal stimulation (Tg is linked with phase changes), and energy dissipation under multiple cyclic loading as a percentage for PETG-based various structures [136].
  • Figure 11. (a1- a3) Representation of shape recovery performance of the metamaterials, (a1) Comparison between simulation and experiment results, (a2) Graph for deformation recovery vs. temperature and (a3) Metamaterials configuration at various temperatures during the shape recovery process [137]; (b1) Demonstration of five programmed states such as compression, tension, bend, fold and torsion, (b2) Illustration of LED devices based on fractal metamaterials (FEM results also shown for comparison) such as rectangular and triangular with shape reconfigurability and conductive in various states [138].
  • Figure 12. (a) The as-printed structures that transmit only visible light with limited wavelength range due to upright grids (left) function as a structural colour filter, next is structures deformation at high temperature flattens the nanostructures (right) interpreting it colourless, where it remains in an invisible state after cooling to room temperature and finally a demonstration of 4D printing (shape morphing behvaiour) where heating recovers both colour of nanostructures and the original geometry at submicron level [139]; (b) Demonstration of energy absorbing 4D printed meta-sandwich structures: load cycles and shape recovery [140]; (C1-C2) Comparison of various gyroid and cubic Spinodal structure for various energy levels and subsequent shape recovery performance, (c2) Diamond structure at different energy levels and impact heights [141].
  • Figure 13. (a) Demonstration of performance such as rotating, grasping, and releasing units soft actuator under thermal actuation and untethered multimodal soft gripper to unscrew a bottle cap under sequential actuation [145]; (b1) Photos of the origami metamaterial unit's deformation configurations, where 1 and 5 are symmetric stable states, (b2) Representation of binary digit abstraction of main performance in the lily's growing process including bud and bloom over time, information storage and expression instances, such as number 9 and letter Z, and finally illustration of the lily-inspired origami metamaterials changeable over time unit with bistable configurations [146]; (c) Representation shape memory circle for cylindrical microarrays on the samples' surface returned to their original shape for both in-plane and out-plane testing [147].
  • Figure 14. Novel models for meta-biomaterials and their implementation in biomedical applications for various four organs in tissue engineering and regenerative medicine, such as auxetic models for articular cartilage, super-elastic models for dermis/skin tissue, self-assembly models for liver, and high-stiff models for cortical bone tissue [152].
  • Figure 15. (a1) The bifurcation stent deployment within a artery model, (a2) The deployable stents dimensional scaling [156]; (b1) Representation of shape memory programming process of the cylindrical shell (scale bar is 30 mm); (b2) Demonstration of potential application of LED integrated devices with metamaterials, including the exploded side and circuit diagram, the optical snapshot before and after programming, and the device on the skin (scale bar is 20mm) [158].
  • Figure 16. (a) Demonstration of actuation and self-deployable contracting cord metamaterial inspired by push puppets [161]; (b1) Applications of 3D metamaterial as novel smart trapper: the actuators offered perturbation to the metamaterial and made it retract rapidly in an omnidirectional mode after the target object is sensed, (b2) Representation of shape-reconfiguration behavior of the 3D metamaterial including dynamic transformation, automatically achieved retracted state after being deployed in the initial state (process occurs very fast within 350.0 ms) [163]; (c) Representation of deployable, shape-morphing architectures conceptual applications in multipurpose reconfigurable space robots and habitats [164]; (d) Flat thick-panel Miura-origami 3D-printed sheets assembly for achieving self-locking property [165].
  • Figure 17. Current challenges regarding printing techniques include 4D multifunctionalities and metamaterials enriched with artificial design for unlocking the true potential of 4D mechanical metamaterials.

7. Conclusion:

4D-printed mechanical metamaterials have now intersected with nearly all fields of science and technology, potentially leading to a more advanced and intelligent production mode. In conclusion, 4D-printed metamaterials represent a highly promising and forward-looking area of research, poised to shape the future of technological innovation.

8. References:

  • [List of 175 references as provided in the paper, from page 38 to 48. Due to length constraints, the full list is omitted here but is available in the source document.]

Expert Q&A: Your Top Questions Answered

Q1: What exactly is the "4th dimension" in 4D printing?
A1: The fourth dimension is time. 4D printing uses additive manufacturing (AM) to create objects from smart materials that can change their shape, properties, or functionality over time when exposed to an external stimulus like heat, light, or moisture. This transforms a static 3D-printed object into a dynamic, responsive one [Abstract, Section 2].

Q2: How can these metamaterials achieve properties not found in their base materials?
A2: Metamaterials achieve their extraordinary properties through their carefully engineered internal architectures, not from their chemical composition. They are designed based on the geometry of their "unit cells," which allows them to exhibit physical properties (acoustic, mechanical, etc.) that are often lacking in natural materials. For example, specific lattice designs can create auxetic materials (negative Poisson's ratio) or structures with an ultra-high strength-to-weight ratio [Section 3, Refs. 75, 76, 77].

Q3: Why is Machine Learning (ML) so important for developing these new materials?
A3: The design space for metamaterials is incredibly vast and complex. ML offers a novel approach to materials design by rapidly exploring this space to find optimal structures for specific functions. Trained ML models can predict mechanical properties and shape-morphing behavior, reducing the need for extensive physical experimentation and accelerating the development of novel metamaterials with desired functionalities [Section 3.3, Ref. 117].

Q4: What are some of the most promising real-world applications for these 4D-printed metamaterials?
A4: The paper highlights three major application areas. The first is smart actuators for soft robotics, such as grippers and other reconfigurable machines (Figure 13(a)). The second is biomedical devices, including self-deployable and conformable vascular stents (Figure 15). The third is self-deployable structures for aerospace applications, such as antennas, solar cells, and reconfigurable space robots (Figure 16(c)) [Section 5].

Q5: Can these principles of metamaterial design be applied to metal components like those made with HPDC?
A5: Yes. While much of the review focuses on polymers, the principles are material-agnostic. The paper explicitly mentions Shape Memory Alloys (SMAs) as a class of intelligent materials for 4D printing [Ref. 48]. Furthermore, it showcases examples of 3D-printed metal metamaterials, including buckling-regulated structures made from 316L stainless steel (Figure 2(a)) and lattice-based structures made from Ti-6Al-4V (Figure 2(f)), confirming the applicability of these design concepts to high-performance metals.

Q6: What are the key functionalities that make these materials so attractive for engineering applications?
A6: Their main appeal lies in their multifunctionality. The paper highlights key features such as a programmable response to stimuli, the ability to change shape (shape-morphing), excellent energy absorption capabilities for impact protection, and the potential to exhibit "negative properties" like a negative Poisson's ratio or negative stiffness for vibration isolation [Abstract, Figure 3].

Conclusion & Next Steps

This research provides a valuable roadmap for the next generation of advanced manufacturing, moving beyond static components to dynamic, intelligent systems. The fusion of 4D printing and mechanical metamaterials offers a clear, data-driven path toward creating components with unprecedented functionality, from self-adjusting aerospace parts to adaptive biomedical implants.

At CASTMAN, we are dedicated to applying the latest industry research to solve our customers' most challenging die casting problems. The principles of structural optimization and material intelligence discussed in this paper are at the core of modern engineering. If the challenges of lightweighting, performance optimization, and functional integration resonate with your goals, contact our engineering team to discuss how we can help you implement advanced design principles in your components.

Copyright

  • This material is a paper by "Muhammad Yasir Khalid et al.". Based on "3D printing of active mechanical metamaterials: A critical review".
  • Source of the paper: No DOI provided in the source document.

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