Peridynamic analysis of dynamic fracture: influence of peridynamic horizon, dimensionality and specimen size

被引：24

作者：

Butt, Sahir N. ^{[1
]}

Meschke, Gunther ^{[1
,2
]}

机构：

[1] Ruhr Univ Bochum, Inst Struct Mech, Bochum, Germany

[2] Ruhr Univ Bochum, Dept Civil & Environm Engn, Univ Str 150, D-44801 Bochum, Germany

来源：

COMPUTATIONAL MECHANICS | 2021年 / 67卷 / 06期

关键词：

Peridynamic horizon; Dynamic fracture; Crack propagation velocity; Micro-branching instability; Size effect; CRACK-PROPAGATION; MICROBRANCHING INSTABILITY; VARIATIONAL APPROACH; CORRESPONDENCE MODEL; BRITTLE-FRACTURE; MESHLESS METHODS; DAMAGE; STABILITY; GROWTH; ENERGY;

D O I：

10.1007/s00466-021-02017-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In peridynamic models for fracture, the dissipated fracture energy is regularized over a non-local region denoted as the peridynamic horizon. This paper investigates the influence of this parameter on the dynamic fracture process in brittle solids, using two as well as three dimensional simulations of dynamic fracture propagation in a notched plate for two loading cases. The predicted crack speed for the various scenarios of the initially stored energy, also known as the velocity toughening behavior as well as characteristics of the crack surface topology obtained in different crack propagation regimes in 3D computational simulations are compared with the experimentally observed crack velocity and fracture surfaces for Polymethyl Methacrylate (PMMA) specimens. In addition, we investigate the influence of the specimen size on the dynamic fracture process using two dimensional peridynamic simulations. The fracture strengths and the velocity toughening relationship obtained from different specimen sizes are compared with the Linear Elastic Fracture Mechanics (LEFM) size effect relationship and with results from experiments, respectively.

引用

页码：1719 / 1745

页数：27

共 96 条

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