Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
复制标题
DOI：
10.1002/nme.1620100503
复制
发表时间：
1976
影响因子：
2.9
通讯作者：
J. Lachat;J. Watson
中科院分区：
文献类型：
--
作者：
J. Lachat;J. Watson
三维弹性静力学的场方程被转换为边界积分方程。弹性体被划分为子区域，表面和界面由四边形和三角形单元表示，这些单元的几何形状具有二次变化，位移和牵引力相对于内蕴坐标具有线性、二次或三次变化。对每个子区域将积分方程离散化，得到一个带状形式的系统。对于核 - 形函数乘积的积分，根据被积函数导数的误差上限选择高斯求积公式。通过对一个预应力混凝土核反应堆压力容器的分析说明了积分公式的应用。
The field equations of three-dimensional elastostatics are transformed to boundary integral equations. The elastic body is divided into subregions, and the surface and interfaces are represented by quadrilateral and triangular elements with quadratic variation of geometry and linear, quadratic or cubic variation of displacement and traction with respect to intrinsic co-ordinates. The integral equation is discretized for each subregion, and a system of banded form obtained. For the integration of kernel-shape function products, Gaussian quadrature formulae are chosen according to upper bounds for error in terms of derivatives of the integrands. Use of the integral formulation is illustrated by the analysis of a prestressed concrete nuclear reactor pressure vessel.