A Newton-Schur alternative to the consistent tangent approach in computational plasticity

Deepak Kulkarni; Daniel Torterelli; Mathias Wallin

doi:10.1016/j.cma.2006.06.013

A Newton-Schur alternative to the consistent tangent approach in computational plasticity

Deepak Kulkarni, Daniel Torterelli, Mathias Wallin

Solid Mechanics

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a Newton-Schur alternative to the consistent tangent approach in plasticity computations and show that the structure of the consistent tangent approach is preserved in the new Newton-Schur approach. However, the local constitutive iterations used in the conventional computational plasticity analyses are eliminated when using the Newton-Schur approach. Two numerical examples are presented which illustrate the efficiencies gained by the new approach.

Original language	English
Pages (from-to)	1169-1177
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	1996
Issue number	7
DOIs	https://doi.org/10.1016/j.cma.2006.06.013
Publication status	Published - 2007

Subject classification (UKÄ)

Mechanical Engineering

Free keywords

Consistent tangent approach
Schur's complement
Computational plasticity

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10.1016/j.cma.2006.06.013

Cite this

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title = "A Newton-Schur alternative to the consistent tangent approach in computational plasticity",

abstract = "We introduce a Newton-Schur alternative to the consistent tangent approach in plasticity computations and show that the structure of the consistent tangent approach is preserved in the new Newton-Schur approach. However, the local constitutive iterations used in the conventional computational plasticity analyses are eliminated when using the Newton-Schur approach. Two numerical examples are presented which illustrate the efficiencies gained by the new approach.",

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AU - Wallin, Mathias

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AB - We introduce a Newton-Schur alternative to the consistent tangent approach in plasticity computations and show that the structure of the consistent tangent approach is preserved in the new Newton-Schur approach. However, the local constitutive iterations used in the conventional computational plasticity analyses are eliminated when using the Newton-Schur approach. Two numerical examples are presented which illustrate the efficiencies gained by the new approach.

KW - Consistent tangent approach

KW - Schur's complement

KW - Computational plasticity

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DO - 10.1016/j.cma.2006.06.013

M3 - Article

SN - 0045-7825

VL - 1996

SP - 1169

EP - 1177

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 7

ER -

A Newton-Schur alternative to the consistent tangent approach in computational plasticity

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Free keywords

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