弹塑性扭转问题具多项式基的径向点插值无网格法

Mesh Free Method of RBF with Polynomial Basis for Elasto-Plastic Torsion

对于弹塑性扭转问题描述的椭圆变分不等式,采用具多项式基的径向点插值法无网格方法与Uzawa方法耦合,得到了带松弛因子的离散迭代算法,并给出了数值算例,分析了参数对结果的影响。通过与有限元法比较,表明该方法是求解弹塑性扭转问题的有效的方法之一。

A mesh free method of radial basis functions(RBF) with polynomial basis for elasto-plastic torsion is proposed.For the first kind of elliptic variational inequality described by elasto-plastic torsion,coupling mesh free method with Uzawa algorithm,a discrete iteration scheme with relaxation factor is constructed.Finally,the numerical examples are given and the effects of parameters on the solution are analyzed.Compard with FEM,the result shows that the coupling method is available and efficient for the elasto-plastic torsion.