任意切向荷载下超弹性半空间的解析解

试图寻求用边界荷载函数的泛函形式给出一组位移分量，针对一种较为抽象复杂的应变能函数形式，对定义在初始构形上的超弹性基本方程进行了直接的解析求解，求解过程中未作任何假定及条件简化，完整地保留了非线性偏微分方程组的原始形式，具体地讨论了任意切向荷载作用下的超弹性半空间，用任意荷载函数的泛函形式给出了一组相应的位移分量。

The analytic solution to hyperelastic half space with arbitrary tangential load

A group of displacement was presented in the functional form of boundary load function to solve the hyperelastic problems. And a group of hyperelastic governing equations defined on initial configuration was directly solved considering abstract and complex strain energy density function. The original form of the non linear partial differential equation was kept entirely in the solving process without making any assumed or simplified terms. As an application of the solution derived, a hyperelastic half space under arbitrary tangential load was discussed and a group of displacement was presented in the functional form of the boundary load.