Abstract
In this paper, there are several measures being used to simplify the analytic method and improve the computational accuracy. We have emphatically studied: (1). An explicit weighted function expression in isoparametric singular BEM. (2). A reasonable collocation of 8-nodes isoparametric boundary elements and application of transition elements. (3). Optimization of the sizes of isoparametric singular elements. The study shows: the deduced explicit weighted function expression of 8-nodes isoparametric BEM is good at seting up a general method of computing the ∞ of 3-D crack problem under complex load, and convenient in combining the expression of SIF with the formular of crack growth rate, it laid the theoretical foundation of BEM program estimating residual fatigue life of 3-D crack problem. The study also shows: the reasonable collocation of isoparametric boundary elements and the optimization of the size of the singular boundary elements obviously improved the accuracy of numerical computation.
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