Effective toughness of heterogeneous media

被引：163

作者：

Hossain, M. Z. ^{[1
]}

Hsueh, C-J ^{[1
]}

Bourdin, B. ^{[2
]}

Bhattacharya, K. ^{[1
]}

机构：

[1] CALTECH, Div Engn & Appl Sci, Pasadena, CA 91125 USA

[2] Louisiana State Univ, Dept Math, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

来源：

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 2014年 / 71卷

基金：

美国国家科学基金会;

关键词：

Effective toughness; Brittle fracture; Heterogeneous media; Toughness asymmetry; Computational fracture mechanics; CRACK DEFLECTION PROCESSES; MECHANICAL-BEHAVIOR; BRITTLE-FRACTURE; PROPAGATION; INTERFACE;

D O I：

10.1016/j.jmps.2014.06.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose a versatile approach to computing the effective toughness of heterogeneous media. This approach focusses on the material property independent of the details of the boundary condition. The key idea is what we call a surfing boundary condition, where a steadily propagating crack opening displacement is applied as a boundary condition to a large domain while the crack set is allowed to evolve as it chooses. The approach is verified and used to study examples in brittle fracture. We demonstrate that effective toughness is different from effective or weighted surface area of the crack set. Furthermore, we demonstrate that elastic heterogeneity can have a profound effect on fracture toughness: it can be a significant toughening mechanism and it can lead to toughness asymmetry wherein the toughness depends not only on the direction but also on the sense of propagation. The role of length-scale is also discussed. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：15 / 32

页数：18

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