A simple average nodal pressure tetrahedral element for incompressible and nearly incompressible dynamic explicit applications

✍ Scribed by Bonet, J. ;Burton, A. J.

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 406 KB
• Volume: 14
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199805)14:5<437::aid-cnm162>3.0.co;2-w

✦ Synopsis

This paper presents a simple 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 de®ning nodal volumes and evaluating average nodal pressures in terms of these volumes. Two well-known examples relating to the impact of elasto±plastic bars are used to demonstrate the ability of the element to model large isochoric strains without locking.