一种有效的分析弹塑性问题的边界元法

胡宁

一种有效的分析弹塑性问题的边界元法

胡宁

重庆大学工程力学系

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- 被引次数: 0
出版历程
- 收稿日期: 1991-05-20
- 刊出日期: 1992-08-15

An Effective Boundary Method for the Analysis of Elastoplastic Problems

Hu Ning

Department of Engineering Mechanics of Chongqing University, Chongqing

摘要

摘要: 本文提出了一组有效的边界元公式.该公式通过利用一个新的变量,使核函数仅具有lnr(r为源点和场点的距离)的较低阶奇异性,从而,在积分点的传统位移和应力公式的奇异性得到降低,且原公式中影响应力计算精度的边界层效应得到消除.同时,也避免了难于计算的参数C.将该方法应用到弹塑性分析中,数值分析结果表明该公式具有明显的优势.
- 边界元方法 /
- 弹塑性问题 /
- 数值解
Abstract: In this paper, a series of effective formulae of the boundary element method is presented. In these formulae, by using a new variable, two kernels are only of the weaker singularity of Lnr (where r is the distance between a source point and a field point). Hence, the singularities in the conventional displacement formulation and stress formulation at internal points are reduced respectively so that the "boundary-layer" effect which strongly degenerates the accuracy of stress calculation by using original formulae is eliminated. Also the direct evaluation of coefficients C (boundary tensor), which are difficult to calculate, is avoided. This method is used in elastoplastic analysis. The results of the numerical investigation demonstrate the potential advantages of this method.
- boundary element method /
- elastoplastic problem /
- numerical solution

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参考文献(14)

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