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Application of local boundary integral equation method into micropolar elasticity

机译:局部边界积分方程法在微极性弹性中的应用

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摘要

A new meshless method for solving boundary value problems in micropolar elasticity is presented. The method is based on the local boundary integral equation (LBIE) method with the moving least squares approximation of physical quantities. Randomly scattered nodes are utilized for interpolation of field data. Every node is surrounded by a simple surface centered at the collocation point in the LBIE method. On the surface of subdomains the LBIEs are written. Fundamental solutions corresponding to uncoupled governing equations are derived. To eliminate the traction vector in the LBIE, the modified fundamental solution is introduced.
机译:提出了一种解决微极弹性边界值问题的无网格方法。该方法基于具有物理量移动最小二乘近似的局部边界积分方程(LBIE)方法。利用随机散布的节点对场数据进行插值。在LBIE方法中,每个节点都由一个以并置点为中心的简单曲面围绕。在子域的表面上写入了LBIE。推导了与解耦控制方程相对应的基本解。为了消除LBIE中的牵引向量,引入了改进的基本解。

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