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A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications. (English) Zbl 0906.73060
Summary: We present a linear tetrahedron element that can be used in explicit dynamics applications involving nearly incompressible materials or incompressible materials modelled using a penalty formulation. The element prevents volumetric locking by defining nodal volumes and evaluating average nodal pressures in terms of these volumes. Two well-known examples relating to the impact of elastoplastic bars are used to demonstrate the ability of the element to model large isochoric strains without locking.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74M20 Impact in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74H99 Dynamical problems in solid mechanics
Software:
DYNA3D
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References:
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