弹性力学应力边界问题的辛差分格式

Symplectic difference format for elasticity problems under stress boundary condition

将全区域离散的有限差分法引入弹性力学辛体系,建立了应力边界问题的平面直角坐标辛差分格式,用对偶的二类变量进行求解,可直接求得位移和应力.编程并计算了有关算例,结果表明辛差分法是有效的,为弹性力学辛体系提供了一种新的数值方法.

By introduction of the finite difference method into the Symplectic system of mechanics of elasticity, a Symplectic difference format for plane rectangular coordinates was developed for elasticity problems under stress boundary condition. From the format, the displacement and stress can be obtained with dual variables. Calculation examples show that the Symplectic difference method is effective, providing a new calculation method for the Symplectic system of mechanics of elasticity.