Implicit integration procedure for viscoplastic Gurson materials

DOI10.1016/j.cma.2005.12.015zbMath1122.74053OpenAlexW1985331602MaRDI QIDQ2382809

I. Peñuelas, Covadonga Betegón, Juan José del Coz

Publication date: 4 October 2007

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.2005.12.015

zbMATH Keywords

consistency conditioncoalescence criteriontangential material operator

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Anelastic fracture and damage (74R20) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (3)

A modified Gurson-type plasticity model at finite strains: formulation, numerical analysis and phase-field coupling ⋮ On some topics for the numerical simulation of ductile fracture ⋮ Consistent integration of the constitutive equations of Gurson materials under adiabatic conditions

Uses Software

• ABAQUS

Cites Work

• Consistent tangent operators for rate-independent elastoplasticity
• A family of embedded Runge-Kutta formulae
• Effect of \(T\)-stress on mode I crack growth resistance in a ductile solid
• Unified stress update algorithms for the numerical simulation of large deformation elasto-plastic and elasto-viscoplastic processes
• On the influence of stress triaxiality and strain rate on the behaviour of a structural steel. II: Numerical study
• Formulation of an implicit algorithm for finite deformation viscoplasticity.
• On the consistency of viscoplastic formulations.
• Runge-Kutta methods in elastoplasticity
• Ring fragmentation predictions using the Gurson model with material stability conditions as failure criteria.
• A tangent modulus method for rate dependent solids
• An analysis of a new class of integration algorithms for elastoplastic constitutive relations
• Substepping schemes for the numerical integration of elastoplastic stress–strain relations
• Integration of Tresca and Mohr-Coulomb constitutive relations in plane strain elastoplasticity
• An extended model for void growth and coalescence
• General solution procedures in elasto/viscoplasticity
• Accurate stress updating algorithm based on constant strain rate assumption
• Modeling of crack growth in round bars and plane strain specimens

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