变分原理的建立将有利于压电材料圆柱壳静力学和动力学问题的有限元方法或半解析法的推导。
The establishment of variation-principle is of benefit to deriving the finite element method or semi-analytical solution to the cylindrical shell static-dynamical problems of piezoelectric materials.
将该解析元与有限元相结合，构成半解析的有限元法，可求解任意几何形状和载荷的平面裂纹应力强度因子及扩展问题。
The new analytical element can be implemented into FEM program systems to solve for stress intensity factor and deal with crack propagation problems for plane cracks with arbitrary shapes and loads.
由于边界元法是半解析半数值解法。在解边界积分方程时会遇到解的存在与唯一性问题。
Because the boundary element method is half analytical and half numerical, there exist the problems of the existence and uniqueness of the solutions.
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