Analytical inversion of the Jacobian for a class of generalized standard materials | Zendy

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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)

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