Eshelby problem in amorphous solids

被引：2

作者：

Hentschel, George E. ^{[1
]}

Kumar, Avanish ^{[2
]}

Procaccia, Itamar ^{[2
,3
]}

Roy, Saikat ^{[4
]}

机构：

[1] Emory Univ, Dept Phys, Atlanta, GA 30322 USA

[2] Weizmann Inst Sci, Dept Chem Phys, IL-76100 Rehovot, Israel

[3] North Univ China, Sino Europe Complex Sci Ctr, Sch Math, Taiyuan 030051, Shanxi, Peoples R China

[4] IIT Ropar, Dept Chem Engn, Rupnagar 140001, Punjab, India

来源：

PHYSICAL REVIEW E | 2024年 / 110卷 / 03期

关键词：

18;

D O I：

10.1103/PhysRevE.110.L033001

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The Eshelby problem refers to the response of a two-dimensional elastic sheet to cutting away a circle, deforming it into an ellipse, and pushing it back. The resulting response is dominated by the so-called Eshelby kernel, which was derived for purely elastic (infinite) material, but has been employed extensively to model the redistribution of stress after plastic events in amorphous solids with finite boundaries. Here, we discuss and solve the Eshelby problem directly for amorphous solids, taking into account possible screening effects and realistic boundary conditions. We find major modifications compared to the classical Eshelby solution. These modifications are needed for modeling correctly the spatial responses to plastic events in amorphous solids.

引用

页数：6