Kinetic relations and local energy balance for LEFM from a nonlocal peridynamic model

被引：14

作者：

Jha, Prashant K. ^{[1
]}

Lipton, Robert P. ^{[2
,3
]}

机构：

[1] Univ Texas Austin, Oden Inst Computat Engn & Sci, Austin, TX 78712 USA

[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[3] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

来源：

INTERNATIONAL JOURNAL OF FRACTURE | 2020年 / 226卷 / 01期

关键词：

Fracture; Peridynamics; LEFM; Fracture toughness; Stress intensity; Local power balance; FRACTURE;

D O I：

10.1007/s10704-020-00480-0

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.

引用

页码：81 / 95

页数：15

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