A polygonal–FEM technique in modelling arbitrary interfaces on non-conformal meshes: a study on polygonal shape functions
Keywords:
polygonal–FEM, arbitrary interfaces, large deformations, conforming FEM, pentagonal elementsAbstract
In this paper, the application of polygonal–FEM method is investigated together with the performance of various polygonal shape functions in modelling of large deformation problems. Polygonal–FEM technique is used in modelling arbitrary interfaces in large deformations using non-conformal meshes. The technique is applied to capture independent deformations in the element cut by the interface in a uniform non-conformal mesh. The geometry of the interface is used to produce various polygonal elements at the intersection of the interface with regular FE mesh, in which the extra degrees-of-freedom are defined along the interface. The level set method is employed to describe the material geometry on the background mesh. Numerical convergence analysis is carried out to study the approximation error and convergence rate of various interpolation functions in polygonal elements. Finally, several numerical examples are solved to investigate the efficiency of each interpolation technique in modelling arbitrary interfaces in large deformations.
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