复合材料边界元素法研究

STUDY OF BOUNDARY ELEMENT METHOD FOR COMPOSITE MATERIALS

  • 摘要: 边界元法是一种迅速发展的数值解法.本文研究了在复合材料层合板中运用平面二次边界元法的有关问题.首先,讨论了将层合板等效为一般正交各向异性单层板的方法;其次,给出了偏轴情况下的基本解,研究了直线型二次边界元偏轴影响系数的解析计算以及域内应力表达式;最后对算例进行了计算,所得结果与相应的解析解和有限元相符甚好.

     

    Abstract: BEM is a kind of numerical method developing rapidly.Some problems about the application of plane orthotropic boundary elements to moregeneral composite laminates are studied in this paper.They include the equivalent single plate of laminate,the off-axis fundamental solution,the analytic calculation of influence coefficients of straight high-order boundary elements,and the expression of stresses at any interior point.The examples show that the results of BEM are consistent with the analytic solutions and the results of FEM.

     

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