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A total ALE FE formulation for axisymmetric and torsional problems (including viscoplasticity, thermodynamic coupling and dynamics)
Author(s) -
Celigoj C. C.,
Außerlechner P.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1925
Subject(s) - computation , finite element method , rotational symmetry , viscoplasticity , coupling (piping) , lagrange multiplier , tensor (intrinsic definition) , mathematics , classical mechanics , mathematical analysis , physics , geometry , structural engineering , mathematical optimization , engineering , mechanical engineering , algorithm , constitutive equation
This paper—first—extends a recent ‘assumed enhanced deformation gradient’ finite ring(segment) element ( Int. J. Numer. Methods Eng. 2001; 50 :899–918.) to Arbitary Lagrange Euler (ALE) computations, by setting up the assumed tensor on the computational configuration, and—second—shows an elegant way of incorporating dynamics into real ALE computations (no splitting into purely—Lagrange steps and then—remeshing steps), by introducing material mesh velocities and accelerations and spatial mesh velocities and accelerations. Copyright © 2006 John Wiley & Sons, Ltd.