摘要
采用非协调单元,有效地解决了边界元的角点问题,给出了含有两个配位因子时非协调线性单元的系数矩阵的表达式,对弹性力学平面问题进行了数值计算。通过采用常数单元、线性非协调单元的计算结果与解析解的比较和分析,证明在均布载荷作用下,两者的计算结果都接近解析解;在非均布载荷作用下,线性单元的结果明显优于常数单元。结果表明,非协调边界元法是一种有效的处理角点问题的方法;线性非协调单元能够更好地处理非均布载荷,提高边界元法的计算精度。
Discontinuous boundary element method （BEM） is an approach for treating corner problems in BEM. The expressions were derived for accurate evaluation with two collocation factors of singular integrals, and the numerical implementation of plane elasticity problem is employed. By comparison and analysis the results by discontinuous linear element and by constant element with the analytical solution, both of them are closed to the analytical solution while under uniform load, and the former is more closed to the analytical solution than the latter while under non-uniform load. The results indicate that the discontinu- ous boundary element method is an available method for solving corner problem, and it is more efficiency that analysis plane elasticity problem under non-uniform load by discontinuous linear element than by constant element.
出处
《力学季刊》
CSCD
北大核心
2009年第3期371-377,共7页
Chinese Quarterly of Mechanics
关键词
边界元法
线性非协调单元
角点问题
弹性力学平面问题
boundary element method
discontinuous linear element
corner problem
plane elasticity problem
