纪念华东水利学院建院70周年学术活动：学术报告通知(2022-93)

报告题目：A polygonal finite element formulation based on a mixed variational formulation for finite elasticity

报告人：Professor Klinkel Sven (RWTH Aachen University, Germany)

报告时间：2022年12月3日（周六）19:40

报告地点：线上ZOOM会议 

会议号：865 5345 2257  密码：202 212

主办单位：河海大学力学与材料学院动力学与控制研究所

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报告简介：

In this work, we present a mixed formulation based on the scaled boundary parameterization for the analysis of nearly[1]incompressible hyperelastic materials at finite strains. The formulation leads to a polygonal element with an arbitrary number of edges. The element domain is parameterized in both the boundary and scaling directions and necessitates the definition of a scaling center. Interpolation functions are introduced in both directions, which allow for an application to physically and geometrically nonlinear problems. This is an extension to the original scaled boundary finite element method (SBFEM), in which an analytical solution in the scaling direction is employed. Whereas the SBFEM approach is restricted to star-convex element geometries, the present approach allows for non-star-convex polygonal element shapes. A mixed displacement-pressure formulation is proposed to alleviate volumetric locking, which typically occurs in case of nearly-incompressible material behavior. Several numerical examples demonstrate that the proposed approach is applicable to arbitrary polygonal meshes, such as Voronoi meshes. The results demonstrate an excellent behavior in terms of computational efficiency compared to standard quadrilateral elements and to the virtual element method (VEM). The ability of the present formulation to alleviate volumetric locking is shown and it is demonstrated that a higher accuracy can be reached on Voronoi meshes compared to quadrilateral discretizations.

报告人简介：

Professor Klinkel Sven is Chair of Structural Analysis and Dynamics, RWTH Aachen University, Germany. She obtained the degree of Doctor in the field of structural analysis from Karlsruhe University. He awarded teaching Award in the “Instructor” Category, RWTH Aachen in 2020, and Young Researcher Fellowship Award for exemplary research in computational mechanics, Massachusetts Institute of Technology, Cambridge, USA in 2003. He is the member of the board and treasurer of German Association of Computational Mechanics (GACM), the member of European Mechanics (EUROMECH), the member of German Association for Seismic Engineering (DGEB), the member of Association for Applied Mathematics und Mechanics (GAMM) and the member of International Association for Computational Mechanics (IACM).