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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.

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