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A geometrically nonlinear continuum mechanical theory is formulated for deformation and failure behaviors of amorphous polymers. The model seeks to capture material response over a range of loading rates, temperatures, and stress states…

材料科学 · 物理学 2026-02-10 John D. Clayton

Liquid films coating vertical cylinders can form annular liquid collars which translate downwards under gravity. We investigate the dynamics of a thin viscoplastic liquid film coating the interior or exterior of a vertical cylindrical tube,…

流体动力学 · 物理学 2025-10-24 James D. Shemilt , Alice B. Thompson , Alex Horsley , Carl A. Whitfield , Oliver E. Jensen

A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

计算工程、金融与科学 · 计算机科学 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl

We study computationally the creep and yielding of athermal gels and fibre network materials under a constant imposed shear stress, within a minimal model of interconnected filaments with central forces in $d=2$ spatial dimensions. Each…

软凝聚态物质 · 物理学 2026-01-23 Michael J. Hertaeg , Suzanne M. Fielding

Understanding the mechanical response and failure of solids is of obvious importance in their use as structural materials. The nature of plastic deformation leading to yielding of amorphous solids has been vigorously pursued in recent…

软凝聚态物质 · 物理学 2021-06-30 Srikanth Sastry

In this paper, we study the thermo-elastodynamics of nonlinearly viscous solids in the Kelvin-Voigt rheology where both the elastic and the viscous stress tensors comply with the frame-indifference principle. The system features a force…

偏微分方程分析 · 数学 2024-09-04 S. Almi , R. Badal , M. Friedrich , S. Schwarzacher

The ubiquitous wall slip behavior of viscoplastic fluids renders the analysis of their steady torsional flow data to determine their yield stress and other parameters of their shear viscosity material function challenging. Roughened…

流体动力学 · 物理学 2021-06-28 Dilhan M. Kalyon

Necking instabilities, in which tensile (extensional) deformation localizes into a small spatial region, are generic failure modes in elasto-viscoplastic materials. Materials in this very broad class --- including amorphous, crystalline,…

材料科学 · 物理学 2018-07-11 Avraham Moriel , Eran Bouchbinder

This work presents a shear elastoplasticity model for textile fabrics within the theoretical framework of anisotropic Kirchhoff-Love shells with bending of embedded fibers proposed by Duong et al. (2023). The plasticity model aims at…

计算工程、金融与科学 · 计算机科学 2025-05-06 Thang Xuan Duong , Roger Andrew Sauer

The mechanical yield of dense granular materials is a fascinating rheological phenomenon, beyond which stress no longer increases with strain at a sufficiently large deformation. Understanding the behavior of mechanical responses associated…

软凝聚态物质 · 物理学 2023-02-28 Jin Shang , Yinqiao Wang , Yuliang Jin , Jie Zhang

This work comprises a detailed theoretical and computational study of the boundary value problem for transversely isotropic linear elastic bodies. General conditions for well-posedness are derived in terms of the material parameters. The…

数值分析 · 数学 2018-11-01 Faraniaina Rasolofoson , Beverley Grieshaber , B. Daya Reddy

The rheology of biological tissue is key to processes such as embryo development, wound healing and cancer metastasis. Vertex models of confluent tissue monolayers have uncovered a spontaneous liquid-solid transition tuned by cell shape;…

软凝聚态物质 · 物理学 2023-10-02 Suzanne M. Fielding , James O. Cochran , Junxiang Huang , Dapeng Bi , M. Cristina Marchetti

A variety of complex fluids consist in soft, round objects (foams, emulsions, assemblies of copolymer micelles or of multilamellar vesicles -- also known as onions). Their dense packing induces a slight deviation from their prefered…

软凝聚态物质 · 物理学 2009-11-13 Sylvain Bénito , Charles-Henri Bruneau , Thierry Colin , Cyprien Gay , François Molino

We propose a method to predict the value of the external strain where a generic amorphous solid will fail by a plastic response (i.e. an irreversible deformation), solely on the basis of measurements of the nonlinear elastic moduli. While…

软凝聚态物质 · 物理学 2015-05-18 Smarajit Karmakar , Anael Lemaitre , Edan Lerner , Itamar Procaccia

We continue our investigation of viscoelasticity by extending the Holzapfel-Simo approach discussed in Part I to the fully nonlinear regime. By scrutinizing the relaxation property for the non-equilibrium stresses, it is revealed that a…

数值分析 · 数学 2024-08-22 Ju Liu , Jiashen Guan , Chongran Zhao , Jiawei Luo

Yielding transition in isotropic soft materials under superposition of orthogonal deformation fields is known to follow von Mises criterion. However, in anisotropic soft materials von Mises criterion fails owing to preferred directions…

软凝聚态物质 · 物理学 2019-06-11 Manish Kaushal , Yogesh M. Joshi

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

This paper presents a physics-based constitutive equation to predict the thermo-chemical aging in elastomers. High-temperature oxidation in elastomers is a complex phenomenon. The macromolecular network of elastomers' microstructures…

材料科学 · 物理学 2021-04-20 Maryam Shakiba , Aimane Najmeddine

Polymer gels behave as soft viscoelastic solids and exhibit a generic nonlinear mechanical response characterized by pronounced stiffening prior to irreversible failure, most often through macroscopic fractures. Here, we aim at capturing…

软凝聚态物质 · 物理学 2020-08-10 Bavand Keshavarz , Thibaut Divoux , Sébastien Manneville , Gareth H. McKinley

The transformation theory of optics and acoustics is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material properties that can be varied for a given transformation by…

材料科学 · 物理学 2011-06-28 A. N. Norris , A. L. Shuvalov