| 陈颂英,王乐勤,焦磊,曲延鹏.用面力边界积分方程求解断裂力学J积分[J].计算力学学报,2003,20(5):583~586605 |
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| 用面力边界积分方程求解断裂力学J积分 |
| Computation of J integral based on traction boundary integral equation |
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| DOI：10.7511/jslx20035111 |
| 中文关键词: 面力边界积分方程 断裂力学 J积分 位移势函数 点值计算 面线弹性 边界点 积分势函数 |
| 英文关键词:boundary integral equation,fracture mechanics,J integral |
| 基金项目:浙江省自然科学基金 ( 5 0 115 0 )资助项目 |
| 陈颂英 王乐勤 焦磊 曲延鹏 |
| [1]浙江大学化工机械研究所，杭州310027 [2]山东大学机械工程学院，济南250061 |
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| 中文摘要: |
| 证明面力边界积分方程被积函数的散度等于零，应用Stokes公式，对平面线弹性问题，将面力边界积分的求解转化为边界点的位移势函数的点值计算。应用边界积分方程的求解结果，推导出J积分亦可表示为边界点的积分势函数的点值计算，无需进行数值积分，实例计算说明该方法的有效性。 |
| 英文摘要: |
| Based on testifying the integrand divergence free property of the traction boundary integral equation and Stokes' theorem, the computation of traction boundary integral equation can be transformed into the evaluation of the displacement potential function on the boundary points. As the same way, applying the results of traction boundary integral equation, J integral can be also transformed into the computation of the J integral potential function at the points. No numerical integrals are needed in the whole calculation procedure. The numerical examples presented show the scheme has a excellent accuracy. |
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