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Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

软凝聚态物质 · 物理学 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

This paper presents a finite-strain hyperviscoplastic constitutive model within a thermodynamically consistent framework for peat which was categorised as a material with both rate-dependent and thermodynamic equilibrium hysteresis based on…

计算工程、金融与科学 · 计算机科学 2017-06-21 L. Zhang , B. C. O'Kelly , T. Nagel

We study the necking dynamics of a filament of complex fluid or soft solid in uniaxial tensile stretching at constant imposed Hencky strain rate $\dot\varepsilon$, by means of linear stability analysis and nonlinear (slender filament)…

软凝聚态物质 · 物理学 2016-11-22 David M. Hoyle , Suzanne M. Fielding

We construct a homogeneous, nonlinear elastic constitutive law, that models aspects of the mechanical behavior of inhomogeneous fibrin networks. Fibers in such networks buckle when in compression. We model this as a loss of stiffness in…

生物物理 · 物理学 2015-12-18 Phoebus Rosakis , Jacob Notbohm , Guruswami Ravichandran

Constitutive equations of unsaturated soils are often derived in a thermodynamically consistent framework through the use a unique 'effective' interstitial pressure. This later is naturally chosen as the space averaged interstitial…

地球物理 · 物理学 2010-10-14 O. Coussy , Jean-Michel Pereira

Combining spatially resolved X-ray Laue diffraction with atomic-scale simulations, we observe how ion-irradiated tungsten undergoes a series of non-linear structural transformations with increasing irradiation exposure. Nanoscale…

The goal of quantitative elastography is to identify biomechanical parameters from interior displacement data, which are provided by other modalities, such as ultrasound or magnetic resonance imaging. In this paper, we analyze the stability…

偏微分方程分析 · 数学 2015-06-19 Thomas Widlak , Otmar Scherzer

Damage gradient models approximate fracture mechanics using a modulation of the material stiffness. To this aim a single scalar field, the damage, is used to degrade as a whole the elastic energy. If applied to the structural models of…

经典物理 · 物理学 2022-11-30 Giovanni Corsi , Antonino Favata , Stefano Vidoli

This work presents a general unified theory for coupled nonlinear elastic and inelastic deformations of curved thin shells. The coupling is based on a multiplicative decomposition of the surface deformation gradient. The kinematics of this…

经典物理 · 物理学 2019-09-12 Roger A. Sauer , Reza Ghaffari , Anurag Gupta

We recently developed a tensorial constitutive model for dense, shear-thickening particle suspensions that combines rate-independent microstructural evolution with a stress-dependent jamming threshold. This gives a good qualitative account…

流体动力学 · 物理学 2020-07-14 Jurriaan Gillissen , Christopher Ness , Joseph Peterson , Helen Wilson , Michael Cates

In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous solid of which material properties are dependent upon the density. Such a description is necessary to describe the failure that can be caused…

数值分析 · 数学 2022-12-19 Hyun C. Yoon , S. M. Mallikarjunaiah , Dambaru Bhatta

We introduce a new class of mixed finite element methods for 2D and 3D compressible nonlinear elasticity. The independent unknowns of these conformal methods are displacement, displacement gradient, and the first Piola-Kirchhoff stress…

数值分析 · 数学 2019-10-22 Arzhang Angoshtari , Ali Gerami Matin

Nonlinear elastic properties of polymers and polymeric composites are essential for accurate prediction of their response to dynamic loads, which is crucial in a wide range of applications. These properties can be affected by strain rate,…

软凝聚态物质 · 物理学 2025-02-04 Andrey V. Belashov , Anna A. Zhikhoreva , Yaroslav M. Beltukov , Irina V. Semenova

This study addresses the modelling of elastic bodies, particularly when the relaxed configuration is unknown or non-existent. We adopt the theory of initially stressed materials, incorporating the deformation gradient and stress state of…

软凝聚态物质 · 物理学 2024-11-28 M. Magri , D. Riccobelli

We develop a tensorial constitutive model for dense, shear-thickening particle suspensions subjected to time-dependent flow. Our model combines a recently proposed evolution equation for the suspension microstructure in rate-independent…

Disordered athermal biopolymer materials, such as collagen networks that constitute a major component in extracellular matrices and various connective tissues, are initially soft and compliant but stiffen dramatically under strain. Such…

软凝聚态物质 · 物理学 2025-09-19 Zibin Zhang , Eran Bouchbinder , Edan Lerner

A quasistatic nonlinear model for poro-visco-elastic solids at finite strains is considered in the Lagrangian frame using the concept of second-order nonsimple materials. The elastic stresses satisfy static frame-indifference, while the…

偏微分方程分析 · 数学 2023-06-27 Willem J. M. van Oosterhout , Matthias Liero

In the present study, a numerical method based on a metaheuristic parametric algorithm has been developed to identify the constitutive parameters of hyperelastic models, by using FE simulations and full kinematic field measurements. The…

经典物理 · 物理学 2019-07-08 G Bastos , A Tayeb , N. Di Cesare , Jean-Benoit Le Cam , E Robin

Incremental stiffness characterizes the variation of a material's force response to a small deformation change. Typically materials have an incremental stiffness that is fixed and positive, but recent technologies, such as super-lenses, low…

材料科学 · 物理学 2016-01-20 Marc Serra-Garcia , Joseph Lydon , Chiara Daraio

Motivated by the recent experimental and analytical developments enabling high-fidelity material characterization of (heterogeneous) sheet-like solid specimens, we seek to elucidate the constitutive behavior of linear viscoelastic solids…

软凝聚态物质 · 物理学 2025-03-26 Bojan B. Guzina , Marc Bonnet