An accurate numerical algorithm for stress integration with finite rotations

An accurate numerical algorithm for the integration of constitutive equations under both large deformations and/or large rotations is presented. The algorithm is based on the choice of the unrotated configuration as the frame of reference for all constitutive equations. The algorithm does not entail...

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Bibliographic Details
Published inComputer methods in applied mechanics and engineering Vol. 62; no. 3; pp. 305 - 320
Main Authors Flanagan, D.P., Taylor, L.M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.06.1987
Elsevier
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Constitutive equation
High strain
Integration
Constraint
Kinematics
Algorithm
Rotation
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Summary:An accurate numerical algorithm for the integration of constitutive equations under both large deformations and/or large rotations is presented. The algorithm is based on the choice of the unrotated configuration as the frame of reference for all constitutive equations. The algorithm does not entail excessive computational time or memory expense. The accuracy of the method is demonstrated by several numerical examples.
ISSN:0045-7825
1879-2138
DOI:10.1016/0045-7825(87)90065-X