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The existing theory of incompatible elastic sheets uses the deviation of the surface metric from a reference metric to define the strain tensor [Efrati et al., J. Mech. Phys. Solids {\bf 57}, 762 (2009)]. For a class of simple axisymmetric…

Soft Condensed Matter · Physics 2017-05-24 Oz Oshri , Haim Diamant

A body immersed in a nematic liquid crystal disturbs the fluid's preferred molecular configuration and increases its stored elastic energy. In an active nematic, the fluid components also generate a stress in the bulk fluid. By introducing…

Soft Condensed Matter · Physics 2025-06-17 Thomas G. J. Chandler , Saverio E. Spagnolie

A finite simple shear deformation of an elastic solid induces unequal normal stresses. This nonlinear phenomenon, known as the Poynting effect, is governed by a universal relation between shear strain and first normal stresses difference,…

Soft Condensed Matter · Physics 2009-11-11 Vincent Labiausse , Reinhard Hohler , Sylvie Cohen-Addad

Response to uniaxial stress has become a major probe of electronic materials. Tuneable uniaxial stress may be applied using piezoelectric actuators, and so far two methods have been developed to couple samples to actuators. In one,…

Discrete element (DEM) simulations demonstrate that granular materials are non-simple, meaning that the incremental stiffness of a granular assembly depends on the gradients of the strain increment as well as on the strain increment itself.…

Soft Condensed Matter · Physics 2018-12-20 Matthew R. Kuhn , Ching S. Chang

In the presented research, the intergranular elastic interaction and the second-order plastic incompatibility stress in textured ferritic and austenitic steels were investigated by means of diffraction. The lattice strains were measured…

Mechanical metamaterials designed around a zero-energy pathway of deformation, known as a mechanism, have repeatedly challenged the conventional picture of elasticity. However, the complex spatial deformations these structures are able to…

Soft Condensed Matter · Physics 2022-05-30 Michael Czajkowski , D. Zeb Rocklin

In this work, we study the deformation behavior of thin films of various soft glassy materials that are simultaneously subjected to two creep flow fields, rotational shear flow by applying torque and elongational flow by applying normal…

Soft Condensed Matter · Physics 2012-09-21 Asima Shaukat , Manish Kaushal , Ashutosh Sharma , Yogesh M. Joshi

In amorphous solids as in tissues, neighbor exchanges can relax local stresses and allow the material to flow. In this paper, we use an anisotropic vertex model to study T1 rearrangements in polygonal cellular networks. We consider two…

Biological Physics · Physics 2022-11-11 Charlie Duclut , Joris Paijmans , Mandar M. Inamdar , Carl D. Modes , Frank Jülicher

The dependence of the elastic tensor on the equilibrium stress is investigated theoretically. Using ideas from finite-elasticity, it is first shown that both the equilibrium stress and elastic tensor are given uniquely in terms of the…

Geophysics · Physics 2020-11-30 Matthew Maitra , David Al-Attar

The production of mechanical stresses in living organisms largely relies on localized, force-generating active units embedded in filamentous matrices. Numerical simulations of discrete fiber networks with fixed boundaries have shown that…

Biological Physics · Physics 2018-05-10 Pierre Ronceray , Chase Broedersz , Martin Lenz

We numerically investigate the athermal creep deformation of amorphous materials having a wide range of stability. The imposed shear stress serves as the control parameter, allowing us to examine the time-dependent transient response…

Soft Condensed Matter · Physics 2025-10-13 Pinaki Chaudhuri , Ludovic Berthier , Misaki Ozawa

The loading of a granular material induces anisotropies of the particle arrangement (fabric) and of the material's strength, incremental stiffness, and permeability. Thirteen measures of fabric anisotropy are developed, which are arranged…

Soft Condensed Matter · Physics 2018-12-21 Matthew R. Kuhn , WaiChing Sun , Qi Wang

Soft materials exhibit significant nonlinear geometric deformations and stress-strain relationships under external forces. This paper explores weakly nonlinear elasticity theories, including Landau's and Murnaghan's formulations, advancing…

Soft Condensed Matter · Physics 2025-04-29 Yangkun Du , Nicholas A Hill , XIaoyu Luo

Unilateral interparticle interactions have an effect on the elastic response of granular materials due to the opening and closing of contacts during quasi-static shear deformations. A simplified model is presented, for which constitutive…

Soft Condensed Matter · Physics 2012-05-22 M. Reza Shaebani , Jens Boberski , Dietrich E. Wolf

We test some Hooke-like isotropic hyper-/hypo-elastic material models under finite simple shear deformations (cf., Thiel et al. Int. J. Non-linear Mech. 112: 57--72, 2019) and show that (1) the components of the Cauchy stress tensor for any…

Analysis of PDEs · Mathematics 2026-03-03 Sergey N. Korobeynikov , Alexey Yu. Larichkin , Patrizio Neff

This study examines the flow of dense granular materials under external shear stress and pressure using discrete element method simulations. In this method, the material is allowed to strain along all periodic directions and adapt its solid…

Soft Condensed Matter · Physics 2020-11-24 Ishan Srivastava , Leonardo E. Silbert , Gary S. Grest , Jeremy B. Lechman

We present theoretical and experimental studies of the elastic response of fibrous networks subjected to uniaxial strain. Uniaxial compression or extension is applied to extracellular networks of fibrin and collagen using a shear rheometer…

The behavior of hyperelastic energies depending on an internal parameter, which is a function of the deformation gradient, is discussed. As an example, the analysis of two models where the parameter describes the activation of a tetanized…

Tissues and Organs · Quantitative Biology 2018-05-03 Giulia Giantesio , Alessandro Musesti

This paper is concerned with an asymptotic analysis of the dispersion relation for wave propagation in an elastic layer of uniform thickness. The layer is subject to an underlying simple shear deformation accompanied by an arbitrary uniform…

Mathematical Physics · Physics 2007-05-23 Wasiq Hussain