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Fission-fusion adaptivity in finite elements for nonlinear dynamics of shells. (English) Zbl 0724.73224
Summary: An adaptive finite element procedure is developed for the transient analysis of nonlinear shells. The scheme is an h-method which employs fission and fusion of elements to adaptively refine and coarsen the mesh. Incremental work and deviation of the bilinear finite element approximation to the shell from a Kirchhoff-Love surface are used as error criteria for adaptivity. The example problems show that the adaptive schemes are capable of achieving substantial improvements accuracy for a given computational effort. They include both material and geometric nonlinearities and local and global buckling.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics
74K15 Membranes
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