摘要
用三维有限元理论，构造了一种半圆柱体８节点等参单元．建立了它的单元刚度矩阵．提出了相应的Ｇａｕｓｓ积分处理方法．该单元能满足有限元解答的收敛性条件．用这种单元和六面体８节点单元结合可以计算几何复杂边界结构的应力场．文中计算了一对接焊接头的理论应力集中系数．计算结果表明：该单元具有良好的精度．
By means of three dimensional finite element theories, a semicircle columnar eight nodes isopermetric elementis developed. it's element stiffness matrix is established. It has been presented a calculating method for Gausstan integralin semicircle columnar.The modes of deformation of the element satisfy the requirement of convergence. The stress fieldsin complex geometric shape structures can be computed by the element with hetriedron eight nodes element. The theoretical stress concentration facCtors of butt weld are calculated. It is shown that the element has hish accuracy from the calculation.
基金
湖南省自然科学基金
