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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…

Soft Condensed Matter · Physics 2025-09-19 Denisa Martonová , Alain Goriely , Ellen Kuhl

The classical flexure problem of non-linear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression---the so-called bimodular materials. The flexure problem is chosen to…

Soft Condensed Matter · Physics 2013-03-11 Michel Destrade , Jerry G. Murphy , Badar Rashid

Using discrete element simulations based on molecular dynamics, we investigate the mechanical behavior of sheared, dry, frictional granular media in the "dense" and "critical" regimes. We find that this behavior is partitioned between…

Soft Condensed Matter · Physics 2025-02-25 Aurélien Rigotti , Véronique Dansereau , Jérôme Weiss

This work is a continuation of the ongoing research on deformation behavior of reinforced concrete elements under tension. The previous studies have revealed that deformation behaviors of elements reinforced with multiple bars and the…

Materials Science · Physics 2019-06-04 Viktor Gribniak , Ronaldas Jakubovskis , Arvydas Rimkus , Pui-Lam Ng , David Hui

It is stated in the main in essence new approach to mechanics of the stressed state of the solid body from statistically isotropic material and the homogeneous liquid dynamics. The approach essence is in the detected property of the…

Fluid Dynamics · Physics 2008-09-25 S. L. Arsenjev

Living cells respond to mechanical changes in the matrix surrounding them by applying contractile forces that are in turn transmitted to distant cells. We calculate the mechanical work that each cell performs in order to deform the matrix,…

Soft Condensed Matter · Physics 2021-08-17 Chaviva Sirote , Yair Shokef

Cyclic loading is a common feature in poroelastic systems, the material response depending non-trivially on the exact form of boundary conditions, pore structure, and mechanical properties. The situation becomes more complex when…

Soft Condensed Matter · Physics 2025-10-08 Zoe C. Godard , Derek E. Moulton , Sarah L. Waters

The thermally activated motion of dislocations across fields of obstacles distributed at random and in a correlated manner, in separate models, is studied by means of computer simulations. The strain rate sensitivity and strength are…

Computational Physics · Physics 2018-07-27 Zhijie Xu , Catalin Picu

We use optical tweezers microrheology and fluorescence microscopy to apply nonlinear microscale strains to entangled and crosslinked actin networks, and measure the resulting stress and actin filament deformations. We couple nonlinear…

Soft Condensed Matter · Physics 2016-10-24 Bekele Gurmessa , Shea Ricketts , Rae M. Robertson-Anderson

The constitutive relation of the quasi-static deformation on two dimensional packed samples of polygons is calculated using molecular dynamic simulations. The stress values at which the system remains stable are bounded by a failure…

Materials Science · Physics 2007-05-23 F. Alonso-Marroquin , H. J. Herrmann

Material renewability in active living systems, such as in cells and tissues, can drive the large-scale patterning of forces, with distinctive phenotypic consequences. This is especially significant in the cell cytoskeleton, where multiple…

Soft Condensed Matter · Physics 2025-04-25 Ayan Roychowdhury , Saptarshi Dasgupta , Madan Rao

Constitutive equations are proposed for dense materials, based on the identification of two types of free-volume activated rearrangements associated to shear and compaction. Two situations are studied: the case of an amorphous solid in a…

Materials Science · Physics 2016-08-16 Anaël Lemaître

In isotropic finite elasticity, unlike in the linear elastic theory, a homogeneous Cauchy stress may be induced by non-homogeneous strains. To illustrate this, we identify compatible non-homogeneous three-dimensional deformations producing…

Mathematical Physics · Physics 2019-04-04 L. Angela Mihai , Patrizio Neff

Microstructural evolution in metallic materials feedbacks with the loading conditions and influences the life time of parts and components. Therefore, the deformation mechanisms have to be fundamentally understood. Tribological loading…

This paper is devoted to the exploration of rectangular finite elements' ability to model the stress-strain state of isotropic and orthotropic materials with a negative Poisson's ratio, known as auxetic materials. By employing linear…

Computational Physics · Physics 2025-05-13 A. V. Mazaev

We analyze the behavior of a suspension of active polar particles under shear. In the absence of external forces, orientationally ordered active particles are known to exhibit a transition to a state of non-uniform polarization and…

Soft Condensed Matter · Physics 2010-05-07 Luca Giomi , M. Cristina Marchetti , Tanniemola B. Liverpool

We consider active suspensions in the isotropic phase subjected to a shear flow. Using a set of extended hydrodynamic equations we derive a variety of {\em analytical} expressions for rheological quantities such as shear viscosity and…

Soft Condensed Matter · Physics 2015-05-20 Sebastian Heidenreich , Siegfried Hess , Sabine H. L. Klapp

Flowing granular materials often abruptly arrest if not driven by sufficient applied stresses. Such abrupt cessation of motion can be economically expensive in industrial materials handling and processing, and is significantly consequential…

Soft Condensed Matter · Physics 2022-01-28 Ishan Srivastava , Leonardo E. Silbert , Jeremy B. Lechman , Gary S. Grest

Recent developments in imaging techniques and correlation algorithms enable measurement of strain fields on a deforming material at high spatial and temporal resolution. In such cases, the computation of the stress field from the known…

Materials Science · Physics 2020-12-08 Benjamin Cameron , Cem Tasan

Active solids such as cell collectives, colloidal clusters, and active metamaterials exhibit diverse collective phenomena, ranging from rigid body motion to shape-changing mechanisms. The nonlinear dynamics of such active materials remains…

Soft Condensed Matter · Physics 2024-06-21 Claudio Hernández-López , Paul Baconnier , Corentin Coulais , Olivier Dauchot , Gustavo Düring