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A new model of metal viscoplasticity, which takes combined isotropic, kinematic, and distortional hardening into account, is presented. The basic modeling assumptions are illustrated using a new two-dimensional rheological analogy. This…

数值分析 · 数学 2013-02-22 A. V. Shutov , J. Ihlemann

We consider the elastic energy of a hanging drape -- a thin elastic sheet, pulled down by the force of gravity, with fine-scale folding at the top that achieves approximately uniform confinement. This example of energy-driven pattern…

偏微分方程分析 · 数学 2015-07-30 Peter Bella , Robert V. Kohn

Entangled states are ubiquitous amongst fibrous materials, whether naturally occurring (keratin, collagen, DNA) or synthetic (nanotube assemblies, elastane). A key mechanical characteristic of these systems is their ability to reorganise in…

Material failure by adiabatic shear is analyzed in viscoplastic metals that can demonstrate up to three distinct softening mechanisms: thermal softening, ductile fracture, and melting. An analytical framework is constructed for studying…

材料科学 · 物理学 2025-12-05 John D. Clayton

We study the reflection of an acoustic plane wave from a steadily sliding planar interface with velocity strengthening friction or a shear band in a confined granular medium. The corresponding acoustic impedance is utterly different from…

凝聚态物理 · 物理学 2009-11-10 C. Caroli , B. Velicky

We study the interaction between capillary forces and deformation in the context of a deformable capillary adhesive: a clamped, tense membrane is adhered to a rigid substrate by the surface tension of a liquid droplet. We find that the…

流体动力学 · 物理学 2019-03-20 Matthew Butler , Finn Box , Thomas Robert , Dominic Vella

It is shown here that fracture after a brief plastic strain, typically of a few percents, is a necessary consequence of the polycrystalline nature of the materials. The polycrystal undergoing plastic deformation is modeled as a flowing…

材料科学 · 物理学 2018-08-28 Miguel Lagos , César Retamal , Rodrigo Valle

Taking the cue from experiments on actin growth on spherical beads, we formulate and solve a model problem describing the accretion of an incompressible elastic solid on a rigid sphere due to attachment of diffusing free particles. One of…

数学物理 · 物理学 2016-09-21 Giuseppe Tomassetti , Tal Cohen , Rohan Abeyaratne

Peeling, shearing, and sliding are important mechanical phenomena in van der Waals solids. However, theoretically they have been studied mostly using minimal periodic cells and in the context of accurate quantum simulations. Here, we…

介观与纳米尺度物理 · 物理学 2015-10-22 Topi Korhonen , Pekka Koskinen

Several results in previous works, strongly depend on the exponential tail of the linkages' distribution in our adhesive models. The purpose of this paper is to weaken this hypothesis and to allow more fat tails for large ages. From the…

偏微分方程分析 · 数学 2024-07-09 Samar Allouch , Vuk Milisic

Dry granular materials such as sand, gravel, pills, or agricultural grains, can become rigid when compressed or sheared. At low density, one can distort the shape of a container of granular material without encountering any resistance.…

软凝聚态物质 · 物理学 2022-08-08 Yiqiu Zhao , Yuchen Zhao , Dong Wang , Hu Zheng , Bulbul Chakraborty , Joshua E. S. Socolar

The stick-slip dynamics is considered from the nonlinear differential-algebraic equation (DAE) point of view and the peeling dynamics is shown to be a switching differential index DAE model. In the stick-slip regime with bifurcations, the…

混沌动力学 · 物理学 2015-06-19 Nachiketa Mishra , Nigam Chandra Parida , Soumyendu Raha

Change in the interatomic spacing of a two-atom system under tension and compression has been modelled by the elastic deformation of atoms. The critical elastic strain of atoms before separation or cracking from tension was estimated by the…

超导电性 · 物理学 2024-04-23 Xiaozhi Hu

Amorphous solids appear to react elastically to small external strains, but in contrast to ideal elastic media, plastic responses abound immediately, at any value of the strain. Such plastic responses are quasi-localized in nature, with the…

无序系统与神经网络 · 物理学 2021-09-01 Anaël Lemaître , Chandana Mondal , Michael Moshe , Itamar Procaccia , Saikat Roy , Keren Screiber-Reém

We perform traction experiments on viscous liquids highly confined between parallel plates, a geometry known as the probe-tack test in the adhesion community. Direct observation during the experiment coupled to force measurement shows the…

软凝聚态物质 · 物理学 2016-08-16 Jérémie Teisseire , F. Nallet , P. Fabre , Cyprien Gay

The yielding transition that occurs in amorphous solids under athermal quasistatic deformation has been the subject of many theoretical and computational studies. Here, we extend this analysis to include thermal effects at finite shear…

软凝聚态物质 · 物理学 2022-09-21 Daniel Korchinski , Jörg Rottler

We study the interaction between two cracks propagating quasistatically during the tearing of a thin brittle sheet. We show that the cracks attract each other following a path described by a power law resulting from the competition between…

软凝聚态物质 · 物理学 2014-12-30 Fabian Brau

The shear strength of a pre-cracked sandwich layer is predicted, assuming that the layer is linear elastic or elastic-plastic, with yielding characterized by either J2 plasticity theory or by a strip-yield model. The substrates are elastic…

材料科学 · 物理学 2020-01-08 E. Martínez-Pañeda , I. I. Cuesta , N. A. Fleck

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

An interesting recent paper by Menga, Carbone & Dini (MCD, 2018, [1]), suggests that in sliding adhesive contacts, the contact area should increase due to tangential shear stresses at the interface, assumed to be constant and corresponding…

软凝聚态物质 · 物理学 2019-08-14 G. Cricrì , M. Ciavarella