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Shear banding and stick-slip instabilities have been long observed in sheared granular materials. Yet, their microscopic underpinnings, interdependencies and variability under different loading conditions have not been fully explored. Here,…

地球物理 · 物理学 2017-02-08 Konik R. Kothari , Ahmed Elbanna

The isothermal quasistatic (i.e.\ acceleration neglected) hardening-free plasticity at large strains is considered, based on the standard multiplicative decomposition of the total strain and the isochoric plastic distortion. The Eulerian…

偏微分方程分析 · 数学 2022-06-01 Tomáš Roubíček

The effect of random surface roughness on hydrodynamics of viscous incompressible liquid is discussed. Roughness-driven contributions to hydrodynamic flows, energy dissipation, and friction force are calculated in a wide range of…

软凝聚态物质 · 物理学 2009-11-07 I. V. Ponomarev , A. E. Meyerovich

Recently, a widely applicable system of hyperbolic partial differential equations has been derived that enables the deterministic computation of a full heterogeneous stress field from a measured deformation field, for example, from a strain…

材料科学 · 物理学 2022-09-29 Benjamin C. Cameron , C. Cem Tasan

Flexible sparsity regularization means stably approximating sparse solutions of operator equations by using coefficient-dependent penalizations. We propose and analyse a general nonconvex approach in this respect, from both theoretical and…

最优化与控制 · 数学 2021-11-12 Daria Ghilli , Dirk A. Lorenz , Elena Resmerita

Using absorbance measurements through a Couette cell containing an emulsion of buoyant droplets, volume fraction profiles are measured at various shear rates. These viscous resuspension experiments allow a direct determination of the normal…

软凝聚态物质 · 物理学 2022-02-01 Mehdi Maleki , Clément de Loubens , Hugues Bodiguel

This work presents a general finite element formulation based on a six--field variational principle that incorporates the consistent couple stress theory. A simple, efficient and local iteration free solving procedure that covers both…

数值分析 · 数学 2022-07-07 Theodore L. Chang , Chin-Long Lee

Viscous resuspension, the process by which sedimented particles are re-entrained into a fluid under flow, is central to numerous natural and industrial systems, including environmental contaminant transport, riverbed erosion, and…

流体动力学 · 物理学 2026-04-14 Mohammadreza Mahmoudian , Simon A. Rogers , Parisa Mirbod

Dislocation slip is a general deformation mode and governs the strength of metals. Via discrete dislocation dynamics and molecular dynamics simulations, we investigate the strain rate and dislocation density dependence of the strength of…

材料科学 · 物理学 2021-04-14 Haidong Fan , Jaafar A. El-Awady , Qingyuan Wang , Dierk Raabe , Michael Zaiser

The study is devoted to geometrically non-linear modelling of viscoplastic structures with residual stresses. We advocate and develop a special approach to residual stresses based on the transition between reference configurations. The…

材料科学 · 物理学 2021-04-06 I. I. Tagiltsev , A. V. Shutov

In order to describe behavior of various liquid-like materials at high pressures, incompressible fluid models with pressure dependent viscosity seem to be a suitable choice. In the context of implicit constitutive relations involving the…

偏微分方程分析 · 数学 2010-04-08 Miroslav Bulíček , Mohamed Majdoub , Josef Málek

Trustworthy machine learning necessitates meticulous regulation of model reliance on non-robust features. We propose a framework to delineate and regulate such features by attributing model predictions to the input. Within our approach,…

机器学习 · 计算机科学 2024-07-10 Peiyu Yang , Naveed Akhtar , Mubarak Shah , Ajmal Mian

We use X-ray imaging to study viscous resuspension. In a Taylor-Couette geometry, we shear an initially settled layer of spherical glass particles immersed in a Newtonian fluid and measure the local volume fraction profiles. In this…

软凝聚态物质 · 物理学 2019-12-19 Brice Saint-Michel , Sébastien Manneville , Steven Meeker , Guillaume Ovarlez , Hugues Bodiguel

We study two closely related, nonlinear models of a viscoplastic solid. These models capture essential features of plasticity over a wide range of strain rates and applied stresses. They exhibit inelastic strain relaxation and steady flow…

材料科学 · 物理学 2009-10-31 Alexander E. Lobkovsky , J. S. Langer

This article investigates the velocity dispersion and the spurious reflection of the viscoelastic wave that occur in the numerical integration of the viscoelastic wave equation. For this purpose, the classic finite element of two nodes,…

数值分析 · 数学 2020-06-03 José Elias Laier

Active control of wrinkling in soft film-substrate composites using electric fields is a critical challenge in tunable material systems. Here, we investigate the electro-mechanical instability of a soft dielectric film bonded to a…

软凝聚态物质 · 物理学 2026-04-14 Bin Wu , Linghao Kong , Weiqiu Chen , Davide Riccobelli , Michel Destrade

In this paper we analyze an isothermal and isotropic model for viscoelastic media combining linearized perfect plasticity (allowing for concentration of plastic strain and development of shear bands) and damage effects in a dynamic setting.…

偏微分方程分析 · 数学 2019-04-04 Elisa Davoli , Tomáš Roubíček , Ulisse Stefanelli

Plasticity with softening and fracture mechanics lead to ill-posed mathematical problems due to the loss of monotonicity. Multiple co-existing solutions are possible when softening elements are coupled together, and solutions cannot be…

最优化与控制 · 数学 2025-09-08 Ivan Gudoshnikov

Deformation in the lithosphere-asthenosphere system can be accommodated by faulting and plastic flow. However, incorporating structural data in models of distributed deformation still represents a challenge. Here, I present solutions for…

地球物理 · 物理学 2018-06-27 Sylvain Barbot

When discretizing symmetric stress tensors in variational problems arising in continuum mechanics, one has to choose how to enforce the symmetry of the stress tensor: (i) strongly by requiring the discrete tensors to be pointwise symmetric…

数值分析 · 数学 2026-05-21 Pablo Brubeck , Charles Parker , Umberto Zerbinati