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Static, dynamic and buckling analyses of 3D FGM plates and shells via an isogeometric-meshfree coupling approach

机译：通过等几何-无网格耦合方法对3D FGM板和壳进行静态，动态和屈曲分析

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摘要

This paper develops a three-dimensional (3D) isogeometric analysis (IGA) and meshfree coupling approach to investigate the static, dynamic and buckling behaviors for plates and shells of functionally graded material (FGM). The meshfree method and IGA are coupled using the higher-order consistency condition in the physical domain so that the higher-order continuity of basis functions is guaranteed, and the topological complexity of the global volumetric parameterization for IGA to build the 3D geometry can be overcome. By employing IGA elements on the domain boundary and meshfree nodes in the interior domain, the approach preserves the advantages of the exact geometry and flexible discretization in the problem domain. Based on the coupling approach, the analyses for FGM plates and shells are carried out, and the effects of the material volume fraction, the side-to-thickness ratio and the curvature of the cylindrical shell on the deflection, natural frequency, and buckling load are investigated. The coupling approach is verified by comparing with the solutions obtained from other existing theories.
机译：本文开发了三维（3D）等几何分析（IGA）和无网格耦合方法，以研究功能梯度材料（FGM）的板和壳体的静态，动态和屈曲行为。无网格方法和IGA在物理域中使用高阶一致性条件进行耦合，从而保证了基函数的高阶连续性，并且可以克服IGA建立3D几何体的全局体积参数化的拓扑复杂性。通过在域边界和内部域中的无网格节点上使用IGA元素，该方法保留了问题域中精确的几何结构和灵活离散化的优点。基于耦合方法，对FGM板和壳体进行了分析，并研究了材料体积分数，边厚比和圆柱壳曲率对挠度，固有频率和屈曲载荷的影响被调查。通过与从其他现有理论获得的解决方案进行比较，验证了耦合方法。

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