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正交异性板裂纹端部应力及变形通解
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Abstract:
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。
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.
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