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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

Large deformations play a central role in the shape transformations of slender active and biological structures. A classical example is the eversion of the Volvox embryo, which demonstrates the need for shell theories that can describe…

软凝聚态物质 · 物理学 2026-03-18 Matteo Taffetani , Matteo Pezzulla

A new four-parameters family of constitutive functions for spherically symmetric elastic bodies is introduced which extends the two-parameters class of polytropic fluid models widely used in several applications of fluid mechanics. The four…

偏微分方程分析 · 数学 2022-11-30 Simone Calogero

We introduce a class of continuum mechanical models aimed at describing the behaviour of viscoelastic fluids by incorporating concepts originated in the theory of solid plasticity. Within this class, even a simple model with constant…

软凝聚态物质 · 物理学 2024-09-04 Muhanna A. H Alrashdi , Giulio G. Giusteri

In order to enhance the modeling of metallic materials behavior in non proportional loadings, a modification of the classical elastic-plastic models including distortion of the yield surface is proposed. The new yield criterion uses the…

经典物理 · 物理学 2016-11-27 Marc Louis Maurice François

Biological soft tissues exhibit substantial inter-subject variability, making the automation of constitutive material modeling essential for patient-specific analysis and design. Such materials are not only highly nonlinear but also display…

计算物理 · 物理学 2026-04-16 Bahador Bahmani

Amorphous solids are ubiquitous among natural and man-made materials. Often used as structural materials for their attractive mechanical properties, their utility depends critically on their response to applied stresses. Processes…

无序系统与神经网络 · 物理学 2017-04-05 Premkumar Leishangthem , Anshul D. S. Parmar , Srikanth Sastry

We construct a mean-field elastoplastic description of the dynamics of amorphous solids under arbitrary time-dependent perturbations, building on the work of Lin and Wyart [Phys. Rev. X 6, 011005 (2016)] for steady shear. Local stresses are…

软凝聚态物质 · 物理学 2020-12-14 Jack T. Parley , Suzanne M. Fielding , Peter Sollich

In this article, the extensional flow and viscosity and the converging-diverging geometry were examined as the basis of the peculiar viscoelastic behavior in porous media. The modified Bautista-Manero model, which successfully describes…

流体动力学 · 物理学 2017-05-24 Taha Sochi

In particular types of layer- or lamellar-like microstructures such as pearlite and lath martensite, plastic slip occurs favorably in directions parallel to inter-lamellar boundaries. This may be due to the interplay between morphology and…

材料科学 · 物理学 2022-11-18 V. Rezazadeh , R. H. J. Peerlings , F. Maresca , J. P. M. Hoefnagels , M. G. D. Geers

In order to develop predictive wear laws, relevant material parameters and their influence on the wear rate need to be identified. Despite decades of research, there is no agreement on the mathematical form of wear equations and even the…

应用物理 · 物理学 2021-01-20 Tobias Brink , Lucas Frérot , Jean-François Molinari

Machine learning approaches informed by physics have offered new insights into the discovery of constitutive models from data, helping overcome some limitations of traditional constitutive modelling while reducing the cost of otherwise…

材料科学 · 物理学 2026-05-19 Filippo Masi

While determining the stability of an unconstrained elastic structure is a straightforward task, this is not the case for viscoelastic structures. Seemingly elastically stable conformations of viscoelastic structures may gradually creep…

软凝聚态物质 · 物理学 2017-11-28 Erez Y. Urbach , Efi Efrati

We introduce a strain-energy based nonlinear hyper-elastic formulation to model the material properties of ultrasoft dielectric elastomers over a wide range of elastic properties, prestretch, and thicknesses. We build on the uniaxial Gent…

材料科学 · 物理学 2020-06-24 Asimanshu Das , Kenneth S. Breuer , Varghese Mathai

We propose and analyse the properties of a new class of models for the electromechanics of cardiac tissue. The set of governing equations consists of nonlinear elasticity using a viscoelastic and orthotropic exponential constitutive law…

Within the framework of linear elasticity we assume the availability of internal full-field measurements of the continuum deformations of a non-homogeneous isotropic solid. The aim is the quantitative reconstruction of the associated…

偏微分方程分析 · 数学 2015-06-17 Guillaume Bal , Cédric Bellis , Sébastien Imperiale , François Monard

(abridged) We present a detailed derivation of a simple hydrodynamic two-fluid model, which aims at the description of the phase separation of non-entangled polymer solutions, where viscoelastic effects play a role. It is directly based…

We study a shape evolution framework in which the deformation of shapes from time t to t + dt is governed by a regularized anisotropic elasticity model. More precisely, we assume that at each time shapes are infinitesimally deformed from a…

最优化与控制 · 数学 2019-01-01 Dai-Ni Hsieh , Sylvain Arguillère , Nicolas Charon , Michael I. Miller , Laurent Younes

This paper presents a finite element model for the analysis of crack-tip fields in a transversely isotropic strain-limiting elastic body. A nonlinear constitutive relationship between stress and linearized strain characterizes the material…

数值分析 · 数学 2025-03-12 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

For monodomain nematic elastomers, we construct generalised elastic-nematic constitutive models combining purely elastic and neoclassical-type strain-energy densities. Inspired by recent developments in stochastic elasticity, we extend…

软凝聚态物质 · 物理学 2020-03-17 L. Angela Mihai , Alain Goriely