各向异性介质中周期性界面裂纹的弹塑性问题

Periodical Interfacial Cracks in Anisotropic Elastoplastic Media

应用富里叶积分变换方法将裂纹边值问题化为对偶积分方程组,再用定积分变换法将问题进一步化为奇异积分方程组,求得了双材料各向异性弹塑性介质中周期性界面裂纹反平面问题的封闭形式解,并作为特例讨论了各向同性双材料问题、各向异性单一材料问题及各向同性—各向异性双材料问题· 结果表明:裂纹尖端前沿的塑性区尺寸、裂纹的张开位移(COD)均决定于两种材料流动极限中的较小者及裂纹的长度和相邻两裂纹的间距,此外。

By using Fourier transformation the boundary problem of periodical interfacial cracks in anisotropic elastoplastic bimaterial was transformed into a set of dual integral equations and then it was further reduced by means of definite integral transformation into a group of singular equations. Closed form of its solution was obtained and three corresponding problems of isotropic bimaterial, of a single anisotropic material and of a bimaterial of isotropy- anisotropy were treated as the specific cases. The plastic zone length of the crack tip and crack openning displacement ( COD) decline as the smaller yield limit of the two bonded materials rises, and they were also determined by crack length and the space between two neighboring cracks . In addition , COD also relates it with moduli of the materials .