Levenberg-Marquardt vs Powell's dogleg method for Gurson-Tvergaard-Needleman plasticity model

DOI10.1016/j.cma.2012.04.018zbMath1253.74116OpenAlexW2071030531MaRDI QIDQ695942

N. A. Alexander, A. Shterenlikht

Publication date: 17 December 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2012.04.018

zbMATH Keywords

Levenberg-Marquardt method\texttt{Abaqus}GTN modelPowell dogleg method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Fracture and damage (74R99) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)

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Uses Software

• ABAQUS
• DNLS1
• DNSQ
• NSOIA

Cites Work

• Linear and nonlinear programming.
• Computational inelasticity
• On the accuracies of numerical integration algorithms for Gurson-based pressure-dependent elastoplastic constitutive models
• Effects of superimposed hydrostatic pressure on sheet metal formability
• On the numerical integration of an advanced Gurson model
• On the numerical integration of a class of pressure‐dependent plasticity models
• Implicit stress integration procedure for small and large strains of the Gurson material model
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