A generalized displacement method for the finite element analysis of thin shells

✍ Scribed by Li Xi Kui; Guo Qiang Liu; O. C. Zienkiewicz

• Publisher: John Wiley and Sons
• Year: 1985
• Tongue: English
• Weight: 544 KB
• Volume: 21
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.1620211203

✦ Synopsis

The shear locking problem for the bilinear degenerated thick shell elements, when used in the context of thin shell structures, can be overcome by a generalized displacement method presented in this paper. The transverse shear energy in the degenerated thick shell elements is totally suppressed by introducing discrete Kirchhoff constraints in each element. The constrained variational problem based on the nodal displacement space is transformed into an unconstrained one based on a so-called generalized displacement subspace. It is shown that shear locking phenomena completely disappear and no degradation of results is observed as the ratio of thickness to span approaches zero.