摘要
针对二维热弹性力学边界元法中近边界点的几乎强奇异和超奇异积分 ,采用一种通用算法 ,将其实施正则化 .该方法适用于线性单元 ,与近边界点邻近的单元上的积分采用正则化积分公式计算 ,远处单元的积分仍保持常规高斯积分 .算例证明了该法的有效性和精确性 .
A new general algorithm is applied to the regularization of nearly strongly singular and hypersingular integrals in the boundary element method of two-dimensional thermoelasticity problems. For an inner point, if it is very close to the present integral element, the new regularization equations are applied to evaluating the nearly singular integrals. Otherwise, the standard Gauss integrals can still be used. Numerical examples demonstrate the effectiveness and accuracy of this algorithm.
出处
《固体力学学报》
CAS
CSCD
北大核心
2004年第2期144-148,共5页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金 ( 10 2 72 0 3 9)资助
