Crack nucleation in a peridynamic solid

被引：196

作者：

Silling, S. A. ^{[1
]}

Weckner, O. ^{[2
]}

Askari, E. ^{[2
]}

Bobaru, F. ^{[3
]}

机构：

[1] Sandia Natl Labs, Albuquerque, NM 87185 USA

[2] Boeing Co, Seattle, WA 98124 USA

[3] Univ Nebraska, Lincoln, NE USA

来源：

INTERNATIONAL JOURNAL OF FRACTURE | 2010年 / 162卷 / 1-2期

关键词：

Crack nucleation; Material stability; Peridynamic; Elasticity; STRAIN LOCALIZATION; DEFORMATION; PROPAGATION; ELLIPTICITY; FORCES;

D O I：

10.1007/s10704-010-9447-z

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A condition for the emergence of a discontinuity in an elastic peridynamic body is proposed, resulting in a material stability condition for crack nucleation. The condition is derived by determining whether a small discontinuity in displacement, superposed on a possibly large deformation, grows over time. Stability is shown to be determined by the sign of the eigenvalues of a tensor field that depends only on the linearized material properties. This condition for nucleation of a discontinuity in displacement can be interpreted in terms of the dynamic stability of plane waves with very short wavelength. A numerical example illustrates that cracks in a peridynamic body form spontaneously as the body is loaded.

引用

页码：219 / 227

页数：9

共 27 条

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