VARIATIONAL-PRINCIPLES AND MEMBRANE FINITE-ELEMENTS WITH DRILLING ROTATIONS FOR GEOMETRICALLY NONLINEAR ELASTICITY

Authors
IBRAHIMBEGOVIC A FREY F
Citation
A. Ibrahimbegovic et F. Frey, VARIATIONAL-PRINCIPLES AND MEMBRANE FINITE-ELEMENTS WITH DRILLING ROTATIONS FOR GEOMETRICALLY NONLINEAR ELASTICITY, International journal for numerical methods in engineering, 38(11), 1995, pp. 1885-1900
Citations number
35
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
Journal title
International journal for numerical methods in engineering → ACNP
ISSN journal
00295981
Volume
38
Issue
11
Year of publication
1995
Pages
1885 - 1900
Database
ISI
SICI code
0029-5981(1995)38:11<1885:VAMFWD>2.0.ZU;2-6
Abstract
Variational principles for geometrically non-linear continuum with ind ependent rotation field are constructed based on the polar factorizati on theorem. Their regularized forms are next discussed suitable for th e finite element implementation. The considerations are specialized to a two-dimensional membrane problem, and standard isoparametric interp olations are used in order to construct membrane elements with drillin g rotations. The elements are evaluated on a set of problems in geomet rically non-linear elastostatics.