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Modeling arbitrarily large deformations of surfaces smoothly embedded in three-dimensional space is challenging. The difficulties come from two aspects: the existing geometry processing or forward simulation methods penalize the difference…

图形学 · 计算机科学 2022-08-10 Jiahao Wen , Bohan Wang , Jernej Barbič

Softening material models are known to trigger spurious localizations.This may be shown theoretically by the existence of solutions with zero dissipation when localization occurs and numerically with spurious mesh dependency and…

计算工程、金融与科学 · 计算机科学 2021-08-10 Nicolas Moes , Nicolas Chevaugeon

Strain localization and resulting plasticity and failure play an important role in the evolution of the lithosphere. These phenomena are commonly modeled by Stokes flows with viscoplastic rheologies. The nonlinearities of these rheologies…

数值分析 · 数学 2020-10-28 Johann Rudi , Yu-hsuan Shih , Georg Stadler

Shear banding is widely observed in natural fault zones as well as in gouge layers in laboratory experiments. Understanding the dynamics of strain localization under different loading conditions is essential for quantifying strength…

地球物理 · 物理学 2017-01-12 Xiao Ma , Ahmed Elbanna

Motivated by the large effect of turbulent drag reduction by minute concentrations of polymers we study the effects of a weakly space-dependent viscosity on the stability of hydrodynamic flows. In a recent Letter [Phys. Rev. Lett. {\bf 87},…

混沌动力学 · 物理学 2009-11-07 Rama Govindarajan , Victor S. L'vov , Itamar Procaccia

The present report describes a big data numerical study of crystal plasticity finite element (CPFE) modelling using static and grain-based meshing to investigate the dependence of the results on the discretization approach. Static mesh…

材料科学 · 物理学 2023-02-01 Jingwei Chen , Zifan Wang , Alexander M. Korsunsky

We study strain-controlled plastic deformation of crystalline solids via two-dimensional discrete dislocation dynamics simulations. To this end, we characterize the average stress-strain curves as well as the statistical properties of…

材料科学 · 物理学 2021-09-01 David Kurunczi-Papp , Lasse Laurson

We introduce models for viscoelastic materials, both solids and fluids, based on logarithmic stresses to capture the elastic contribution to the material response. The matrix logarithm allows to link the measures of strain, that naturally…

偏微分方程分析 · 数学 2024-10-10 Gennaro Ciampa , Giulio G. Giusteri , Alessio G. Soggiu

We obtain an exact strain consistency equation for full, elastic, and plastic strain characteristics that have a clear physical meaning and are naturally related to stresses. The dynamic equations are represented in a form that does not use…

经典物理 · 物理学 2007-05-23 Israel Solomeshch , Motel Solomeshch

This paper explores the role of generalized continuum mechanics, and the feasibility of model-free data-driven computing approaches thereof, in solids undergoing failure by strain localization. Specifically, we set forth a methodology for…

数值分析 · 数学 2025-03-05 Jacinto Ulloa , Laurent Stainier , Michael Ortiz , José E. Andrade

A theoretical and computational investigation is carried out of a dissipative model of rate-independent strain-gradient plasticity and its regularization. It is shown that the flow relation, when expressed in terms of the Cauchy stress, is…

材料科学 · 物理学 2017-04-12 C Carstensen , F Ebobisse , AT McBride , BD Reddy , P Steinmann

Compaction bands play a key role in the deformation processes of porous rocks and explain different aspects of physical processes in geological formations. The state-of-the-art description of the localized strains that lead to compaction…

地球物理 · 物理学 2022-02-09 Roberto J. Cier , Nicolas A. Labanda , Victor M. Calo

Size-dependence of plastic flow is studied by discrete dislocation dynamical simulation of systems with various numbers of interacting linear edge dislocations while the stress is slowly increased. Regions between avalanches in the…

材料科学 · 物理学 2015-03-05 Peter Szabo , Peter Dusan Ispanovity , Istvan Groma

The paper presents analytical or semi-analytical solutions for the formation and evolution of localized plastic zone in a uniaxially loaded bar with variable cross-sectional area. A variationally based formulation of explicit gradient…

材料科学 · 物理学 2012-11-02 Milan Jirásek , Ondřej Rokoš , Jan Zeman

A crystal plasticity theory was developed for use in simulations of dynamic loading at high pressures and strain rates. At pressures of the order of the bulk modulus, compressions o(100%) may be induced. At strain rates o(10^9)/s or higher,…

材料科学 · 物理学 2008-04-10 Damian C. Swift , Eric N. Loomis , Pedro Peralta , Bassem El-Dasher

Rotary pleating is a widely used process for making filters out of nonwoven fabric sheets. This involves indirect elastic-plastic bending of pre-weakened creases by continuously injecting material into an accordion-shaped pack. This step…

软凝聚态物质 · 物理学 2023-07-06 Tian Yu , J. A. Hanna

Granular materials are ubiquitous in nature and are used extensively in daily life and in industry. The modeling of these materials remains challenging; therefore, finding models with acceptable predictive accuracy that at the same time…

The shear-transformation-zone (STZ) theory of plastic deformation predicts that sufficiently soft, non-crystalline solids are linearly unstable against forming periodic arrays of microstructural shear bands. A limited nonlinear analysis…

材料科学 · 物理学 2009-11-07 J. S. Langer

The ubiquitous appearance of regions of localized deformation (shear bands) in different kinds of disordered materials under shear is studied in the context of a mesoscopic model of plasticity. The model may or may not include relaxational…

软凝聚态物质 · 物理学 2015-05-19 E. A. Jagla

When the deformations of a solid body are sufficiently large, parts of the body undergo a permanent deformation commonly refereed to as plastic deformation. Several plasticity models describing such phenomenon have been proposed, e.g. von…

数值分析 · 数学 2022-04-26 Filip Strniša , Mitja Jančič , Gregor Kosec