粘弹性层板中受突加载荷的裂纹问题

Dynamical Problems of Visco Elasti City Laminated Media with A Crack

利用不同材料界面的连接条件，将问题中所有各量用单一未知函数表达，用积分变换方法将受突加载荷作用问题化为对偶积分方程，并用Ｃｏｐｓｏｎ方法［１］求得了不同粘弹性材料组成的层状结构中受突加载荷的裂纹动力学问题的一般解。裂纹表面受任意动载荷作用问题都可使用本方法求解。

By the method of integral transform the general representations for the solution of the anti plane dynamical crack problems of the laminated media consisting of different visco elasticity layers are derived.Using conditions of the welaing surface of different media,we express all the quantities in terms of a single unknown function.Using the method of integral teans form,we formulate the impact and dynamic loding problems sa dual integral equations.The solutions of these dual integral equations are derived.These solutions are obtained by the Fredholm integral equation.