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Analytical inversion of the Jacobian for a class of generalized standard materials
Author(s) -
Fritzen Felix,
Böhlke Thomas
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910177
Subject(s) - jacobian matrix and determinant , inversion (geology) , inverse , class (philosophy) , expression (computer science) , construct (python library) , mathematics , computer science , algebra over a field , calculus (dental) , programming language , pure mathematics , geology , artificial intelligence , geometry , medicine , paleontology , dentistry , structural basin
In this paper we derive an analytical expression for the inverse of the Jacobian occuring in the implicit time integration procedure for a large class of generalized standard materials. The resulting expression is easy to construct and implement into arbitrary programming languages. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)