A particle finite element method for analysis of industrial forming processes

被引：39

作者：

Onate, Eugenio ^{[1
,2
]}

Franci, Alessandro ^{[1
]}

Carbonell, Josep M. ^{[1
,2
]}

机构：

[1] CIMNE, Barcelona, Spain

[2] Univ Politecn Cataluna, ES-08034 Barcelona, Spain

来源：

COMPUTATIONAL MECHANICS | 2014年 / 54卷 / 01期

基金：

欧洲研究理事会;

关键词：

Updated Lagrangian formulation; Finite element method; Incompressible fluids; Consistent tangent matrix; Mixed formulation; Stabilized method; INCOMPRESSIBLE FLOWS; BED EROSION; FORMULATION; CALCULUS; SOLIDS; SIMULATION; TOOL;

D O I：

10.1007/s00466-014-1016-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a generalized Lagrangian formulation for analysis of industrial forming processes involving thermally coupled interactions between deformable continua. The governing equations for the deformable bodies are written in a unified manner that holds both for fluids and solids. The success of the formulation lays on a residual-based expression of the mass conservation equation obtained using the finite calculus method that provides the necessary stability for quasi/fully incompressible situations. The governing equations are discretized with the FEM via a mixed formulation using simplicial elements with equal linear interpolation for the velocities, the pressure and the temperature. The merits of the formulation are demonstrated in the solution of 2D and 3D thermally-coupled forming processes using the particle finite element method.

引用

页码：85 / 107

页数：23

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