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复合型运动荷载作用下横观各向同性体三维裂纹的应力强度因子
引用本文:赵晓华.复合型运动荷载作用下横观各向同性体三维裂纹的应力强度因子[J].固体力学学报,2001,22(2):191-198.
作者姓名:赵晓华
作者单位:汕头大学土木工程系,
基金项目:广东省自然科学基金(编号:970382)和汕头大学科学研究基金资助
摘    要:讨论横观各向同性体中含一半平面裂纹,在裂纹面上作用有运动点荷载的三维复合型应力强度因子历史,通过积分变换技术,最终将问题归结为求解Wiener-Hopf型积分方程组,该文给出了求解这一类积分方程组的一般性方法,在此基础上,基于Abel定理和Cagniard-deHoop方法,求得Ⅱ、Ⅲ型复合应力强度因子的解析解,最后通过数值结果揭示了横观各向同性材料三维方尖端场的动态特性。

关 键 词:三维运动荷载  横观各向同性  半平面裂纹  应力强度因子
修稿时间:1999年6月11日

THE STRESS INTENSITY FACTORS FOR A HALF PLANE CRACK IN A TRANSVERSELY ISOTROPIC SOLID UNDER 3-D COMBINED MODE MOVING LOADINGS ON THE CRACK FACES
Zhao Xiaohua.THE STRESS INTENSITY FACTORS FOR A HALF PLANE CRACK IN A TRANSVERSELY ISOTROPIC SOLID UNDER 3-D COMBINED MODE MOVING LOADINGS ON THE CRACK FACES[J].Acta Mechnica Solida Sinica,2001,22(2):191-198.
Authors:Zhao Xiaohua
Abstract:Three-dimensional analysis of a half plane crack in a t r ansversely isotropic solid is performed. The crack is subjected to two pairs of point shear loads moving on its faces. Transform methods are used to reduce the boundary value problem to a set of coupled integral equations of the Wiener-Hop f type, and a solving procedure for the problem is suggested. The Cagniard-de H oop method is employed to invert the transforms. Exact expressions are derived f or the mode Ⅱ、Ⅲ stress intensity factors as functions of time and position al ong the crack edge. Some features of the solution are shown through numerical re sults.
Keywords:three-dimensional moving load  transversely isotropic solid  half plane crack  stress intensity factor
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