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Creep deformation structural analysis using an efficient numerical algorithm
Author(s) -
Whirley Robert G.,
Henshall Gregory A.
Publication year - 1992
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.1620350704
Subject(s) - creep , finite element method , robustness (evolution) , algorithm , numerical analysis , computer science , algebraic equation , scalar (mathematics) , numerical integration , constitutive equation , mathematics , structural engineering , engineering , geometry , nonlinear system , materials science , mathematical analysis , biochemistry , chemistry , physics , quantum mechanics , composite material , gene
This paper presents a fast numerical algorithm for the implementation of material models for creep into finite element codes. First, an overview of existing algorithms for transient and steady‐state creep is given. Next, a new formulation is presented which reduces the constitutive integration to the solution of a scalar non‐linear algebraic equation. A solution is shown to exist without the need for subincrementation. Details of the numerical algorithm are then discussed. The paper closes with several numerical examples which illustrate the speed, robustness and accuracy of the proposed procedure as implemented in the Lawrence Livermore National Laboratory finite element codes NIKE2D and NIKE3D.

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