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Ultra Accurate Edge-based Smoothed Finite Element Method of Tetrahedron for Visco-elastoplastic Analysis of 3D Solid

Cheng Ai-guo

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Abstract

The tetrahedral mesh is good at building three-dimensional solid finite element discrete model because of its powerful geometric characterization,while it behaviors overly-stiff property leading to large errors,which greatly limit the widely use of the tetrahedral mesh.Since the tetrahedral mesh is an important issue in computational mechanics and is also a main focus.A new type of edge-based smoothed finite element method of tetrahedron mesh(ES-FEM-T) is extended to 3D solid mechanics visco-elastoplastic material.Numerical examples verified that computational efficiency of the ES-FEM-T is higher than the finite element method(FEM) and face-based smoothed finite element method.This method not only inherits the strong tetrahedral geometry characterization capabilities,but also improves the accuracy and efficiency of the tetrahedral mesh,which has a broad engineering application prospects.

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What this paper is about

The tetrahedral mesh is good at building three-dimensional solid finite element discrete model because of its powerful geometric characterization,while it behaviors overly-stiff property leading to large errors,which greatly limit the widely use of the tetrahedral mesh.Since the tetrahedral mesh is an important issue in computational mechanics and is also a main focus.A new type of edge-based smoothed finite element method of tetrahedron mesh(ES-FEM-T) is extended to 3D solid mechanics visco-elastoplastic material.Numerical examples verified that computational efficiency of the ES-FEM-T is higher than the finite element method(FEM) and face-based smoothed finite element method.This method not only inherits the strong tetrahedral geometry characterization capabilities,but also improves the accuracy and efficiency of the tetrahedral mesh,which has a broad engineering application prospects.

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Available abstract

The tetrahedral mesh is good at building three-dimensional solid finite element discrete model because of its powerful geometric characterization,while it behaviors overly-stiff property leading to large errors,which greatly limit the widely use of the tetrahedral mesh.Since the tetrahedral mesh is an important issue in computational mechanics and is also a main focus.A new type of edge-based smoothed finite element method of tetrahedron mesh(ES-FEM-T) is extended to 3D solid mechanics visco-elastoplastic material.Numerical examples verified that computational efficiency of the ES-FEM-T is higher than the finite element method(FEM) and face-based smoothed finite element method.This method not only inherits the strong tetrahedral geometry characterization capabilities,but also improves the accuracy and efficiency of the tetrahedral mesh,which has a broad engineering application prospects.

Key concepts: Tetrahedron, Finite element method, Smoothed finite element method, Mixed finite element method, Enhanced Data Rates for GSM Evolution, Geometry, Solid mechanics, Focus (optics)

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Ultra Accurate Edge-based Smoothed Finite Element Method of Tetrahedron for Visco-elastoplastic Analysis of 3D Solid — Research Paper | ScholarLens