Virtual Element Method の実構造物への適用に向けた基礎的検討

Fundamental study for application of Virtual Element Method to actual structures

藤本 竜太 (Ryuta FUJIMOTO) 

The Virtual Element Method (VEM) is an approximate solution method for partial differential equations that does not require explicit definition of the displacement function in the elements. Because of this feature, VEM can handle polygonal and polyhedral elements, and has begun to attract attention as a generalization of the Finite Element Method. However, most of these studies are theoretical, and there are few studies on the application of VEM to real structures. In this study, we focus on the feature of VEM that can calculate elements with hanging nodes without any special processing, and apply VEM to models that change the roughness of the mesh division. As a result, we confirmed that the accuracy of the analysis using elements with hanging nodes is good.

Key Words : virtual element method, hanging node, polygonal mesh, mesh division



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