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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A novel stabilized node-based smoothed radial point interpolation method (SNS-RPIM) for coupling analysis of magneto-electro-elastic structures in hygrothermal environment
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A novel stabilized node-based smoothed radial point interpolation method (SNS-RPIM) for coupling analysis of magneto-electro-elastic structures in hygrothermal environment

机译：一种新型稳定节点平滑的径向点插值方法（SNS-RPIM），用于摩尔多环境中磁力弹性结构耦合分析

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In this article, a stabilized node-based smoothed radial point interpolation method (SNS-RPIM) was proposed to simulate the magneto-electro-elastic (MEE) structures in hygrothermal environment. The node-based smoothing domains were constructed based on triangular background elements, and the approximate strain, electric field intensity and magnetic flux density were derived using node-based strain smoothing operation. In the present formulation, the stabilization term related to the gradient variance of the field variables was used to obtain the system stiffness matrices. Then, by using the smoothed Galerkin weak form, discrete equations of the system were established to solve the generalized displacement of the structure. The numerical experiments validated the feasibility of SNS-RPIM for solving hygrothermo-magneto-electro-elastic (HMEE) coupling problems with different hygrothermal loadings and boundary conditions. Results proved that the introduction of the stabilization term made the SNS-RPIM had a 'close-to-exact' stiffness, thereby solving the 'overly-soft' in the traditional node-based smoothed radial point interpolation method (NS-RPIM). SNS-RPIM was in good agreement with the reference solution when using the same fewer nodes as finite element method (FEM), and the errors were much smaller than those of FEM. Moreover, SNS-RPIM performed better than NS-RPIM and FEM when processing distorted meshes. Therefore, the developed method showed great potential in simulating MEE structure in hygrothermal environment. (C) 2020 Elsevier B.V. All rights reserved.
机译：在本文中，提出了一种稳定的节点平滑的径向点插值方法（SNS-RPIM）以模拟湿热环境中的磁电弹性（MEE）结构。基于三角形背景元件构建的基于节点的平滑域，并且使用基于节点的应变平滑操作来导出近似应变，电场强度和磁通密度。在本制定中，使用与场变量的梯度方差相关的稳定期用于获得系统刚度矩阵。然后，通过使用平滑的Galerkin弱形式，建立了系统的离散方程来解决结构的广义位移。数值实验验证了SNS-RPIM用于用不同的湿热载荷和边界条件求解湿热磁体 - 电弹性（HMEE）耦合问题的SNS-RPIM的可行性。结果证明，稳定术语的引入使SNS-RPIM具有“近距离”的刚度，从而解决了传统的基于节点的平滑径向点插值方法（NS-RPIM）中的“过度软”。当使用与有限元方法（FEM）使用相同的节点时，SNS-RPIM与参考解决方案非常一致，并且误差远小于FEM。此外，在处理扭曲网格时，SNS-RPIM在NS-RPIM和FEM更好地执行。因此，开发方法在湿热环境中模拟MEE结构的巨大潜力。 （c）2020 Elsevier B.v.保留所有权利。

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