%0 Journal Article
%T 正交异性板裂纹端部应力及变形通解<br>General Solution of Stress and Deformation at Crack-Tip for Orthotropic Plate
%A 贾普荣
%J International Journal of Mechanics Research
%P 70-76
%@ 2325-5005
%D 2020
%I Hans Publishing
%R 10.12677/IJM.2020.92008
%X 本文根据正交异性板的力学性能，确定平面应力弹性力学的基本方程，利用复变函数方法求解含裂纹正交异性板的应力边值问题。采用I型裂纹作为典型实例，讨论了裂纹端部应力与变形的一般解法，推导出正交异性板的奇异应力和应变场，并得到裂纹张开位移与材料特性的关系。<br />
The basic equation of elastic mechanics at plane stress state is determined by the mechanical characteristic of orthotropic plate. The stress boundary problem about the orthotropic plate with a crack is solved by using the complex function method. To take Mode I crack problem for the typical example, the general solution method is discussed for the stress and deformation near the crack-tip. And the singular stress and strain fields are derived for the orthotropic plate. The crack opening displacement is yet obtained to have a relation with the material characteristics.
%K 正交异性板，裂纹端部，复变函数，应力和应变，裂纹张开位移<br>Orthotropic Plate
%K Crack-Tip
%K Complex Function
%K Stress and Strain
%K Crack Opening Displacement
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=36201