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Six-node triangle finite volume method for solids with a rotational degree of freedom for incompressible material

Pan, Wenke and Wheel, Marcus and Qin, Yi (2010) Six-node triangle finite volume method for solids with a rotational degree of freedom for incompressible material. Computers and Structures, 88 (23-24). pp. 1506-1511. ISSN 0045-7949

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A finite-volume (FV) cell vertex method is presented for determining the displacement field for solids exhibiting with incompressibility. The solid is discretized into six-node finite elements and the standard six-node finite-element shape function is employed for each element. Only control volumes around vertex node of the triangular element are considered. For considering the material incompressibility, a constant hydrostatic pressure as an extra unknown variable within each element is assumed. The force equilibrium in two perpendicular directions and one in-plane moment equilibrium equation are derived for each control volume. The volume conservation is satisfied by setting the integration of volumetric strain as zero within each element. By solving the system control equations, the displacements and rotations of the vertex nodes and the hydrostatic pressure for each element can be obtained and then the displacements of the midside nodes can be calculated. The simulation results show that this FV method passes the patch tests and converges to theoretical results under mesh refinement for material behaviour incompressibility.

Item type: Article
ID code: 29019
Keywords: finite volume method , control volume , vertex centred method , rotational degree, incompressibility, Mechanical engineering and machinery, Modelling and Simulation, Civil and Structural Engineering, Materials Science(all), Mechanical Engineering, Computer Science Applications
Subjects: Technology > Mechanical engineering and machinery
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Faculty of Engineering > Design, Manufacture and Engineering Management
Depositing user: Pure Administrator
Date Deposited: 15 Mar 2011 11:56
Last modified: 21 May 2015 13:00

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