Six-node triangle finite volume method for solids with a rotational degree of freedom for incompressible material
Computers & Structures(2010)
摘要
A finite volume (FV) cell vertex method is presented for determining the displacement field for solids exhibiting incompressibility. The solid is discretized into six-node finite elements and only control volumes around the vertex node are required. For considering the material incompressibility, a constant hydrostatic pressure as an extra unknown variable within each element is assumed. The force- and moment-equilibrium equations are derived for each control volume and the volume conservation for each element forms a constraint equation. The simulation results show that this FV method passes the patch tests and converges to theoretical results under mesh refinement.
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关键词
Finite volume method,Control volume,Vertex-centred method,Rotational degree,Incompressibility
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