横观各向同性体中Ⅰ型埋藏圆片裂纹的应力解法

本文利用对于横观各向同性体轴对称变形时应力函数解法的基本方程,并应用Hankel积分变换,求解了位于横观各向同性平面内的埋藏圆片裂纹在垂直于裂纹面远处均匀拉应力作用下的应力场和位移场,获得了与各向同性材料相同的应力强度因子,不同于各向同性材料的应力场和应变能释放率裂。

A Solution of the stress ofModel I Embedded Penny-Shaped Crack in a Transversely Isotropic Body

In this paper the fundamental equations of stress functions in axisymmetric deformation in a transversely isotropic solid given by S. G. Lekhnitskii and the Hankel integral transformation are used, And thereby a solution of the Stress field and displacement field of an embedded penny-shaped crack lying in a transverely isotropic plane under the action of the uniform tension stress at the far end perpendicular to the crack surface is obtained. Meanwhile the same stress intensity factor as in the isotropic solid and the different stress field and the strain energy release rate from those of the isotropie solid are also obtained.