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Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis
Author(s) -
Hughes Thomas J. R.,
Winget James
Publication year - 1980
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.1620151210
Subject(s) - constitutive equation , deformation (meteorology) , rotation (mathematics) , cauchy elastic material , finite element method , mathematics , finite strain theory , mathematical analysis , mechanics , classical mechanics , geometry , physics , materials science , structural engineering , engineering , composite material
Abstract An improved algorithm is presented for integrating rate constitutive equations in large‐deformation analysis. The algorithm is shown to be ‘objective’ with respect to large rotation increments.