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.


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


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