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The transformation method is a powerful tool for providing the constitutive parameters of the transformed material in the new coordinates. In transformation elasticity, a general curvilinear change of coordinates transforms conventional…

Applied Physics · Physics 2021-04-30 Yangyang Chen , Hussein Nassar , Guoliang Huang

An $hp$-adaptive continuous Galerkin finite element method is developed to analyze a static anti-plane shear crack embedded in a nonlinear, strain-limiting elastic body. The geometrically linear material is described by a constitutive law…

Numerical Analysis · Mathematics 2025-08-01 S. M. Mallikarjunaiah , Pavithra Venkatachalapthy

To produce sounds, we adjust the tension of our vocal folds to shape their properties and control the pitch. This efficient mechanism offers inspiration for designing reconfigurable materials and adaptable soft robots. However,…

Soft Condensed Matter · Physics 2025-06-18 Alexandre Delory , Daniel A. Kiefer , Maxime Lanoy , Antonin Eddi , Claire Prada , Fabrice Lemoult

Soft and flexible conductors are essential in the development of soft robots, wearable electronics, as well as electronic tissue and implants. However, conventional soft conductors are inherently characterized by a large change in…

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

Numerical Analysis · Mathematics 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao

It is the aim of the paper to present a new point of view on rotational elasticity in a nonlinear setting using orthogonal matrices. The proposed model, in the linear approximation, can be compared to the well known equilibrium equations of…

Mathematical Physics · Physics 2015-10-09 Christian G. Boehmer , Nicola Tamanini

The asymmetric transformation elasticity offers a promising method to control elastic waves. However, this method requires elastic materials that support asymmetric stresses, which is not objective within the Cauchy elasticity framework.…

Applied Physics · Physics 2025-11-18 Dingxin Sun , Yi Chen , Xiaoning Liu , Gengkai Hu

The experimental observations of many interaction-driven electronic phases in moir\'e superlattices have stimulated intense theoretical and experimental efforts to understand and engineer these correlated physics. Strain is a powerful tool…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Federico Escudero , Francisco Guinea , Zhen Zhan

Monitoring structures of elastic materials for defect detection by means of ultrasound waves (Structural Health Monitoring, SHM) demands for an efficient computation of parameters which characterize their mechanical behavior.…

Numerical Analysis · Mathematics 2019-11-13 Rebecca Klein , Thomas Schuster , Anne Wald

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

Active control of wrinkling in soft film-substrate composites using electric fields is a critical challenge in tunable material systems. Here, we investigate the electro-mechanical instability of a soft dielectric film bonded to a…

Soft Condensed Matter · Physics 2026-04-14 Bin Wu , Linghao Kong , Weiqiu Chen , Davide Riccobelli , Michel Destrade

Strain plays a critical role in the properties of materials. In silicon and silicon-germanium, strain provides a mechanism for control of both carrier mobility and band offsets. In materials integra-tion, strain is typically tuned through…

We present a novel constitutive model using the framework of strain-limiting theories of elasticity for an evolution of quasi-static anti-plane fracture. The classical linear elastic fracture mechanics (LEFM), with conventional linear…

Computational Engineering, Finance, and Science · Computer Science 2020-07-22 Hyun C. Yoon , Sanghyun Lee , S. M. Mallikarjunaiah

For the finite element simulation of thin soft biological tissues in dynamics, shell elements, compared to volume elements, can capture the whole tissue thickness at once, and feature larger critical time steps. However, the capabilities of…

Numerical Analysis · Mathematics 2018-01-15 Bahareh Momenan , Michel R. Labrosse

Identifying a universal material constitutive law, that describes the mechanical response of rubber-like solids for all deformation fields and achievable extensions, is an outstanding challenge. Here, we propose to exploit the propagation…

Soft Condensed Matter · Physics 2026-03-23 Pierre Chantelot , Samuel Croquette , Fabrice Lemoult

Spatial heterogeneity in the elastic properties of soft random solids is investigated via a two-pronged approach. First, a nonlocal phenomenological model for the elastic free energy is examined. This features a quenched random kernel,…

Disordered Systems and Neural Networks · Physics 2011-12-06 Xiaoming Mao , Paul M. Goldbart , Xiangjun Xing , Annette Zippelius

This paper presents an electromechanical analysis of the nonlinear static response and the superimposed small-amplitude wave characteristics in an infinite periodic compressible dielectric elastomer (DE) laminate subjected to electrostatic…

Soft Condensed Matter · Physics 2021-07-26 Yingjie Chen , Bin Wu , Yipin Su , Weiqiu Chen

Active metamaterials are a type of metamaterial with tunable properties enabled by structural reconfigurations. Existing active metamaterials often achieve only a limited number of structural reconfigurations upon the application of an…

Applied Physics · Physics 2025-01-23 Jay Sim , Shuai Wu , Sarah Hwang , Lu Lu , Ruike Renee Zhao

Materials that can produce large controllable strains are widely used in shape memory devices, actuators and sensors. Great efforts have been made to improve the strain outputs of various material systems. Among them, ferroelastic…

Hydroelastic surface waves propagate at the surface of water covered by a thin elastic sheet and can be directly measured with accurate space and time resolution. We present an experimental approach using hydroelastic waves that allows us…

Fluid Dynamics · Physics 2019-02-04 Lucie Domino , M. Fermigier , E. Fort , A. Eddi
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