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 |
Keywords:
linear element; penalty formulation; volumetric locking; impact of elastoplastic bars; large isochoric strainsSoftware:
DYNA3DReferences:
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