21-node hexahedral isoparametric element for analysis of contact problems

✍ Scribed by Buczkowski, Ryszard

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 187 KB
• Volume: 14
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199807)14:7<681::aid-cnm182>3.0.co;2-t

✦ Synopsis

Because the 20-node solid element of the serendipity family does not ful®l the physical contact requirements properly (the equivalent nodal forces include negative values) a 21-node three-dimensional transient element for the non-linear contact/friction problem is investigated. Construction of the shape functions is described. The proposed transition element is established by adding one node to the top or bottom face of the basic 20-node solid serendipity element for an eective connection between the contact region (21-node elements) and the rest of the structure (20-node elements) with minimum degrees of freedom possible. Comparisons with results calculated for the 3D-contact problem using the combinations of the 8-node element connected to 20-node ®nite elements prove the high accuracy and overall superiority of the present method. The numerical examples are shown to illustrate the validity and eciency of the developed technique. The approach may be employed easily in existing computer codes.