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

计量
- 文章访问数: 1789
- HTML全文浏览量: 60
- PDF下载量: 426
- 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

HTML全文

参考文献(14)

[1]	Mukherjee, Subrata, On the efficiency and accuracy of boundary element method and finite element method, Int. J. Numer. Method Eng., 20 (1984), 515-522.
[2]	Alibadi, M. H. and W. S. Hall, Taylor expansion for singular kernel in BEM, Int. J. Numer. Method Eng., 21(1985), 2221-2236.
[3]	Li Hong-bao and Han Guo-ming, A new method for evaluating singular integral in stress analysis of solids by the direct boundary element method, Int. J. Numer. Method Eng., 21 (1985), 2071-2098.
[4]	Vable, Madhukar, An algorithm based on the boundary element method for engineering mechanics, Int. J. Nurner. Method Eng., 21(1985), 1625-1640.
[5]	Cruse, T. A., Numerical solutions in three-dimensional elastostatics, Int. J. Solids Struct., 5(1969), 1259-1274.
[6]	Lachat, J. C., and J. O Watson, Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics, Int. J. Numer. Method Eng., 10(1976), 991-1005.
[7]	Kompis, V., Boundary integral equations method for three-dimensional elastostatic problems and formulation of the problem for large displacement, Proc. 14th Jugosl. Kongresracion Primenjene Mechanike C. (1978), 113-120.
[8]	Ghosh, N., H. Rajiyah, S. Ghosh and S. Mukherjee, A new boundary element method formulation for linear elasticity, A SME Journal of Applied Mechanics, 53(1986), 69-76.
[9]	Okada, et al., A novel displacement gradient boundary element method for elastic stress analysis with high accuracy, ASME Journal of Applied Mechanics, 55(1988), 786-794.
[10]	Brebbia, C. A. (Ed.), Boundary Element, Pregamon Press (1986).
[11]	Tanake, Some recent advances in boundary element method, A. M. S., 36 (1983), 627-630.
[12]	Telles, J. C. F., The boundary element method applied to inelastic problem, Lecture Notes in Eng., Springer Berlin(1983).
[13]	Brebbia, C. A., A Boundary Element Technique in Engineering, Newnew-Butterworths, London (1980).
[14]	Banagiee, P. K. and S. T. Raveendra, Advanced boundary element analysis for two-and three-dimensional problems of elastoplasticity, Int. J. Numer. Method End., 28(1986), 985-1002.