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Finite element analysis of geometrically non-linear structures using translational variables

✍ Scribed by Mats K. A. Ander; Alf G. Samuelsson

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 184 KB
Volume: 46
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19991130)46:9<1367::aid-nme703>3.0.co;2-f

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✦ Synopsis

A "nite element code for geometrically non-linear structures with conservative one-parameter loading is under development. The "nite deformation theory is expressed in displacement gradients and the "nite element approximation for translational variables only is introduced as late as possible. A p-method with hierarchical Legendre polynomial approximation over the elements is used. In order to follow the non-linear equilibrium path an incremental algorithm driven by the dominant displacement component is implemented. A Total Lagrange formulation is applied. Numerical tests on three-dimensional trusses and a plane frame with thin beams are demonstrated.

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