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Node-based smoothed radial point interpolation method for electromagnetic-thermal coupled analysis

机译：电热耦合分析的基于节点的平滑径向点插值方法

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摘要

The node-based smoothed radial point interpolation method for solving the transient responses of magneto-electro-elastic structures in thermal environment is proposed. Considering the coupling relations between the elasticity, magnetism, electricity and heat, the generalized displacement (displacement, electric potential and magnetic potential) is calculated using the modified Newmark method. G space theory and the weakened weak formulation are applied to derive the equations of node-based smoothed radial point interpolation method for the magneto-electro-thermo-elastic multi-physics coupling problems. We use triangular background meshes as they could be generated more easily for structures with complex geometry. In some cases, they could even be created automatically. Detailed numerical study has shown that node-based smoothed radial point interpolation method not only successfully overcomes the overly-stiff behavior in the FEM and provides more accurate results, but also works well with distorted meshes. Therefore, the node based smoothed radial point interpolation method could be adopted to solve the magneto-electro-thermo-elastic multi-physics coupling problems in practical engineering. (C) 2019 Elsevier Inc. All rights reserved.
机译：提出了一种基于节点的光滑径向点插值方法，用于求解热环境下的磁电弹性结构的瞬态响应。考虑到弹性，磁，电和热之间的耦合关系，使用改进的Newmark方法计算广义位移（位移，电势和磁势）。应用G空间理论和弱化弱公式，推导了基于节点的光滑径向点插值方法的方程，解决了磁电热弹性多物理场耦合问题。我们使用三角背景网格，因为对于具有复杂几何形状的结构，可以更轻松地生成它们。在某些情况下，甚至可以自动创建它们。详细的数值研究表明，基于节点的平滑径向点插值方法不仅成功地克服了FEM中的过硬行为，并提供了更准确的结果，而且还可以很好地处理变形的网格。因此，可以采用基于节点的平滑径向点插值方法来解决实际工程中的磁电热弹性多物理场耦合问题。 （C）2019 Elsevier Inc.保留所有权利。

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