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Development of non-iterative self correcting solution (NONSS) method for the viscoplastic analysis with the Chaboche model
Perumal Chellapandi, R. S. Alwar
Published in John Wiley and Sons Ltd
1998
Volume: 43
   
Issue: 4
Pages: 621 - 654
Abstract
In a finite element program for the viscoplastic analysis with Chaboche model, the non-iterative and self-correcting solution (NONSS) method, proposed by Tanaka and Miller has been implemented. Towards this, the necessary Jacobian coefficients have been derived analytically for the sophisticated 23-parameter Chaboche viscoplastic model and finally the tangent modulus matrix D* and the residual viscoplastic stress vector ξ* have been obtained in order to determine the global tangent stiffness matrix as well as pseudo-load vector. The computational efficiency of this method is demonstrated by solving a variety of bench mark problems over a wide range of rate sensitivity domain under complex monotonic and cyclic loading histories relevant to fast breeder reactor applications. An improved Self-Adaptive Eulers Forward (SAEF) method is taken as the reference for comparison. © 1998 John Wiley & Sons, Ltd.
About the journal
JournalData powered by TypesetInternational Journal for Numerical Methods in Engineering
PublisherData powered by TypesetJohn Wiley and Sons Ltd
ISSN00295981
Open AccessNo
Concepts (12)
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    Computational methods
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    Fast reactors
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    Finite element method
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    Mathematical models
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    Problem solving
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    Residual stresses
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    Stiffness matrix
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    Vectors
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    Chaboche model
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    NON-ITERATIVE SELF-CORRECTING SOLUTION (NONSS) METHOD
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    SELF-ADAPTIVE EULERS FORWARD (SAEF) METHOD
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    Viscoplasticity