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Dynamic transient behaviour of two‐ and three‐dimensional structures including plasticity, large deformation effects and fluid interaction
Author(s) -
Shantaram D.,
Owen D. R. J.,
Zienkiewicz O. C.
Publication year - 1976
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290040605
Subject(s) - transient (computer programming) , diagonal , finite element method , plasticity , matrix (chemical analysis) , deformation (meteorology) , variety (cybernetics) , mass matrix , dynamic equilibrium , dynamic loading , dynamic problem , structural engineering , mechanics , fluid–structure interaction , containment (computer programming) , mathematics , computer science , engineering , geology , physics , mathematical optimization , materials science , geometry , oceanography , artificial intelligence , neutrino , nuclear physics , composite material , thermodynamics , operating system , programming language
The finite element method is employed in the prediction of the dynamic transient response of two‐ and three‐dimensional solids exhibiting geometric (large deformations) and material (elasto‐plastic) non‐linearities. Explicit time marching schemes are adopted for integration of the dynamic equilibrium equation and a diagonal ‘lumped’ mass matrix is employed with a special procedure applicable to parabolic isoparametric elements. A variety of problems are presented including a solid/fluid interaction situation, and the method is shown to be able to solve economically many problems of dynamic or catastrophic nature which can occur in such structures as nuclear reactors, containment vessels, etc.