Crack propagation induced by a plane stress wave in a general anisotropic elastic material

IF 1.5 4区 工程技术 Q3 MECHANICS Journal of Mechanics Pub Date : 2022-01-01 DOI:10.1093/jom/ufac030
Kuang-Chong Wu
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Abstract

The stress intensity factors of a semi-infinite crack propagating with constant speed in an anisotropic elastic solid under a uniform stress wave loading are considered. The crack is assumed to start propagating at some arbitrary time after an obliquely incident plane stress wave strikes the crack tip. It is shown that the stress intensity factor of the propagating crack has the form of the product of a universal matrix function of the crack speed and an equivalent stationary crack stress intensity factor of t*, which is the time that would have elapsed since the incident wavestruck the crack tip if the crack tip had been always at its instantaneous position. The present result is a generalization of that obtained by Freund for isotropic materials.
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一般各向异性弹性材料中平面应力波诱导的裂纹扩展
研究了各向异性弹性固体中匀速扩展的半无限裂纹在均匀应力波载荷作用下的应力强度因子。假设在斜入射平面应力波撞击裂纹尖端后,裂纹在任意时间开始扩展。结果表明,裂纹扩展的应力强度因子是裂纹速度的通用矩阵函数与等效的平稳裂纹应力强度因子t*的乘积,t*是如果裂纹尖端始终处于瞬时位置,那么从入射波撞击到裂纹尖端所经过的时间。目前的结果是对Freund对各向同性材料所得结果的推广。
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来源期刊
Journal of Mechanics
Journal of Mechanics 物理-力学
CiteScore
3.20
自引率
11.80%
发文量
20
审稿时长
6 months
期刊介绍: The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.
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