One-Degree-of-Freedom Mechanical Metamaterials with Arbitrary Prescribability and Rapid Reprogrammability of Force–Displacement Curves

Mechanical metamaterials, by introducing porous structures into the materials, can achieve complex nonlinear responses through the large deformation of structures, which support a new generation of impact energy absorption and vibration damping systems, wearable electronics, and tactile simulation d...

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Main Authors: Hui Li, Wei Li, Huixin Yang, Joseph M. Gattas, Qingyang Chen, Yang Li
Format: Article
Language:English
Published: American Association for the Advancement of Science (AAAS) 2025-01-01
Series:Research
Online Access:https://spj.science.org/doi/10.34133/research.0715
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author Hui Li
Wei Li
Huixin Yang
Joseph M. Gattas
Qingyang Chen
Yang Li
author_facet Hui Li
Wei Li
Huixin Yang
Joseph M. Gattas
Qingyang Chen
Yang Li
author_sort Hui Li
collection DOAJ
description Mechanical metamaterials, by introducing porous structures into the materials, can achieve complex nonlinear responses through the large deformation of structures, which support a new generation of impact energy absorption and vibration damping systems, wearable electronics, and tactile simulation devices. However, arbitrarily customizable stress–strain curves have yet to be achieved by existing mechanical metamaterials, which are inherently multi-degree-of-freedom (multi-DOF) deformable systems, and their deformation sequence is influenced by the minimum energy gradient principle. Multi-DOF metamaterials behave like underactuated systems, where the number of degrees of freedom exceeds the number of actuators. As a result, their deformation is controlled by the material’s elastic forces, inertial forces, and boundary constraints. Here, we propose a novel composition of elastic components integrated with one-degree-of-freedom (1-DOF) kinematic bases, forming a fully actuated system in which the number of actuators equals the number of degrees of freedom. The deformation of each elastic component is governed by its designed 1-DOF kinematic path. Consequently, the stress–strain profile can be arbitrarily prescribed, for instance, controlled multistage strain softening curve is achievable, as the principle of minimum energy gradient does not affect the deformation sequence dictated by the 1-DOF kinematic base. Furthermore, a class of shape memory alloys (SMAs) is introduced as active components to enable rapid in situ property change, providing versatility in switching between different target responses. The analytical inverse design method, numerical analysis, parametric study of different target responses, and experimental validation are carried out. Lastly, preliminary demonstrations of designable anisotropic nonlinear responses are presented.
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spelling doaj-art-40faeb405eb3491c8e53efa9457dc11a2025-08-20T03:32:32ZengAmerican Association for the Advancement of Science (AAAS)Research2639-52742025-01-01810.34133/research.0715One-Degree-of-Freedom Mechanical Metamaterials with Arbitrary Prescribability and Rapid Reprogrammability of Force–Displacement CurvesHui Li0Wei Li1Huixin Yang2Joseph M. Gattas3Qingyang Chen4Yang Li5The Institute of Technological Sciences, Wuhan University, Wuhan, Hubei 430072, China.Hongyi Honor College, Wuhan University, Wuhan, Hubei 430072, China.School of Power and Mechanical Engineering, Wuhan University, Wuhan, Hubei 430072, China.School of Civil Engineering, The University of Queensland, Brisbane 4072, Australia.The Institute of Technological Sciences, Wuhan University, Wuhan, Hubei 430072, China.The Institute of Technological Sciences, Wuhan University, Wuhan, Hubei 430072, China.Mechanical metamaterials, by introducing porous structures into the materials, can achieve complex nonlinear responses through the large deformation of structures, which support a new generation of impact energy absorption and vibration damping systems, wearable electronics, and tactile simulation devices. However, arbitrarily customizable stress–strain curves have yet to be achieved by existing mechanical metamaterials, which are inherently multi-degree-of-freedom (multi-DOF) deformable systems, and their deformation sequence is influenced by the minimum energy gradient principle. Multi-DOF metamaterials behave like underactuated systems, where the number of degrees of freedom exceeds the number of actuators. As a result, their deformation is controlled by the material’s elastic forces, inertial forces, and boundary constraints. Here, we propose a novel composition of elastic components integrated with one-degree-of-freedom (1-DOF) kinematic bases, forming a fully actuated system in which the number of actuators equals the number of degrees of freedom. The deformation of each elastic component is governed by its designed 1-DOF kinematic path. Consequently, the stress–strain profile can be arbitrarily prescribed, for instance, controlled multistage strain softening curve is achievable, as the principle of minimum energy gradient does not affect the deformation sequence dictated by the 1-DOF kinematic base. Furthermore, a class of shape memory alloys (SMAs) is introduced as active components to enable rapid in situ property change, providing versatility in switching between different target responses. The analytical inverse design method, numerical analysis, parametric study of different target responses, and experimental validation are carried out. Lastly, preliminary demonstrations of designable anisotropic nonlinear responses are presented.https://spj.science.org/doi/10.34133/research.0715
spellingShingle Hui Li
Wei Li
Huixin Yang
Joseph M. Gattas
Qingyang Chen
Yang Li
One-Degree-of-Freedom Mechanical Metamaterials with Arbitrary Prescribability and Rapid Reprogrammability of Force–Displacement Curves
Research
title One-Degree-of-Freedom Mechanical Metamaterials with Arbitrary Prescribability and Rapid Reprogrammability of Force–Displacement Curves
title_full One-Degree-of-Freedom Mechanical Metamaterials with Arbitrary Prescribability and Rapid Reprogrammability of Force–Displacement Curves
title_fullStr One-Degree-of-Freedom Mechanical Metamaterials with Arbitrary Prescribability and Rapid Reprogrammability of Force–Displacement Curves
title_full_unstemmed One-Degree-of-Freedom Mechanical Metamaterials with Arbitrary Prescribability and Rapid Reprogrammability of Force–Displacement Curves
title_short One-Degree-of-Freedom Mechanical Metamaterials with Arbitrary Prescribability and Rapid Reprogrammability of Force–Displacement Curves
title_sort one degree of freedom mechanical metamaterials with arbitrary prescribability and rapid reprogrammability of force displacement curves
url https://spj.science.org/doi/10.34133/research.0715
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