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A triangular prism solid and shell interactive mapping element for electromagnetic sheet metal forming process
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DOI：10.1016/j.jcp.2017.02.014.png)
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En 中文
In this paper, a novel triangular prism solid and shell interactive mapping element is proposed to solve the coupled magnetic-mechanical formulation in electromagnetic sheet metal forming process. A linear six-node Triprism element is firstly proposed for transient eddy current analysis in electromagnetic field. In present Triprism element, shape functions are given explicitly, and a cell-wise gradient smoothing operation is used to obtain the gradient matrices without evaluating derivatives of shape functions. In mechanical field analysis, a shear locking free triangular shell element is employed in internal force computation, and a data mapping method is developed to transfer the Lorentz force on solid into the external forces suffered by shell structure for dynamic elasto-plasticity deformation analysis. Based on the deformed triangular shell structure, a Triprism element generation rule is established for updated electromagnetic analysis, which means inter-transformation of meshes between the coupled fields can be performed automatically. In addition, the dynamic moving mesh is adopted for air mesh updating based on the deformation of sheet metal. A benchmark problem is carried out for confirming the accuracy of the proposed Triprism element in predicting flux density in electromagnetic field. Solutions of several EMF problems obtained by present work are compared with experiment results and those of traditional method, which are showing excellent performances of present interactive mapping element. (C) 2017 Elsevier Inc. All rights reserved.
Keyword:
Electromagnetic sheet metal forming
Coupled magnetic-mechanical analysis
Triprism element
Shell element
Stable nodal integration method
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IF:
3.8
论文数:
1.6W
被引数:
7.4W
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