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A great variety of models can describe the non-linear response of rubber to uni-axial tension. Yet an in-depth understanding of the successive stages of large extension is still lacking. We show that the response can be broken down in three…

软凝聚态物质 · 物理学 2017-04-12 Michel Destrade , Giuseppe Saccomandi , Ivonne Sgura

Compressible Mooney-Rivlin theory has been used to model hyperelastic solids, such as rubber and porous polymers, and more recently for the modeling of soft tissues for biomedical tissues, undergoing large elastic deformations. We propose a…

数值分析 · 数学 2025-10-20 Suzanne M. Shontz , Stephen A. Vavasis

We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought beyond complete…

软凝聚态物质 · 物理学 2018-06-11 Taisiya Sigaeva , Robert Mangan , Luigi Vergori , Michel Destrade , Les Sudak

We study large deformations of hyperelastic membranes using a purely two-dimensional formulation derived from basic balance principles within a modern geometric setting, ensuring a framework that is independent of an underlying…

软凝聚态物质 · 物理学 2025-09-22 Claudia Grabs , Werner Wirges

The Mullins effect represents a softening phenomenon observed in rubber-like materials and soft biological tissues. It is usually accompanied by many other inelastic effects like for example residual strain and induced anisotropy. In spite…

计算工程、金融与科学 · 计算机科学 2024-03-12 Rasul Abdusalamov , Jendrik Weise , Mikhail Itskov

The major challenge in determining a hyperelastic model for a given material is the choice of invariants and the selection how the strain energy function depends functionally on these invariants. Here we introduce a new data-driven…

软凝聚态物质 · 物理学 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

In the emerging field of 3D bioprinting, cell damage due to large deformations is considered a main cause for cell death and loss of functionality inside the printed construct. Those deformations, in turn, strongly depend on the…

We demonstrate with experiments that wrinkling in stretched latex sheets occur over finite strains, and that their amplitudes grow and then decay to zero over a greater range of applied strains compared with linear elastic materials. The…

软凝聚态物质 · 物理学 2019-11-27 Andreea Panaitescu , Meng Xin , Benny Davidovitch , Julien Chopin , Arshad Kudrolli

Highly compressible solids, such as foams, exhibit complex responses, including pronounced tension-compression asymmetry. Capturing such behaviors within unified hyperelastic frameworks remains challenging. Invariant-based hyperelastic…

计算工程、金融与科学 · 计算机科学 2026-04-17 Miguel Angel Moreno-Mateos , Simon Wiesheier , Paul Steinmann , Ellen Kuhl

The effects of thermal elastic fluctuations in rubber materials are examined. It is shown that, due to an interplay with the incompressibility constraint, these fluctuations qualitatively modify the large-deformation stress-strain relation,…

软凝聚态物质 · 物理学 2015-06-25 Xiangjun Xing , Paul M. Goldbart , Leo Radzihovsky

Hyperelastic materials possess the appealing property that they may be employed as elastic wave manipulation devices and cloaks by imposing pre-deformation. They provide an alternative to microstructured metamaterials and can be used in a…

应用物理 · 物理学 2018-07-04 Pu Zhang , William J. Parnell

Hyperelastic materials models are well established to describe the non-linear stress-strain relations of elastomers. In this paper, a polyurethane adhesive is considered as an exemplary material and subjected to tensile, compressive and…

软凝聚态物质 · 物理学 2018-05-29 Olaf Hesebeck , Andreas Wulf

Soft tissues are complex media, they display a wide range of mechanical properties such as anisotropy and non-linear stress-strain behaviour. They undergo large deformations and they exhibit a time-dependent mechanical behaviour, i.e. they…

软凝聚态物质 · 物理学 2021-08-19 Michele Righi , Valentina Balbi

In an attempt to describe cork-pulling, we model a cork as an incompressible rubber-like material and consider that it is subject to a helical shear deformation superimposed onto a shrink fit and a simple torsion. It turns out that this…

经典物理 · 物理学 2007-12-04 Riccardo De Pascalis , Michel Destrade , Giuseppe Saccomandi

We investigate how two finite-amplitude, transverse, plane body waves may be superposed to propagate in a deformed hyperelastic incompressible solid. We find that the equations of motion reduce to a well-determined system of partial…

偏微分方程分析 · 数学 2024-03-05 Michel Destrade , Giuseppe Saccomandi

Complex elastic media such as biological membranes, in particular, blood vessels, may be described as fiber-reinforced solids in the framework of nonlinear hyperelasticity. Finite axially symmetric anti-plane shear displacements in such…

经典物理 · 物理学 2019-09-13 Alexei Cheviakov , Caylin Lee , Rehana Naz

Implant placement under soft tissues operation is described. In this operation tissues can reach such deformations that nonlinear properties are appeared. A mass-spring model modification for modeling nonlinear tissue operation is…

数值分析 · 计算机科学 2014-03-11 Sergei Nikolaev

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

数值分析 · 数学 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

The effective macroscopic response of nonlinear elastomeric inhomogeneous materials is of great interest in many applications including nonlinear composite materials and soft biological tissues. The interest of the present work is…

数学物理 · 物理学 2015-06-11 Riccardo De Pascalis , I. David Abrahams , William J. Parnell

A Finite Element model of the face soft tissue is proposed to simulate the morphological outcomes of maxillofacial surgery. Three modelling options are implemented: a linear elastic model with small and large deformation hypothesis, and an…

医学物理 · 物理学 2007-05-23 Matthieu Chabanas , Yohan Payan , Christophe Marecaux , Pascal Swider , Franck Boutault
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