Generalization of a uniaxial elasto‐plastic material model based on the Prandtl‐Reuss theory

DOI10.1002/zamm.201700200OpenAlexW2799620655WikidataQ129895036 ScholiaQ129895036MaRDI QIDQ6086244

J. Ihlemann, Unnamed Author

Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201700200

zbMATH Keywords

metal plasticityhypo-elasticityPrandtl-Reuss equationsdistortional hardeningyield surface evolution

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74Cxx) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx) Elastic materials (74Bxx)

Cites Work

• Unnamed Item
• Computational inelasticity
• Distortional and orientational hardening at large viscoplastic deformations
• Logarithmic strain, logarithmic spin and logarithmic rate
• On the theoretical and numerical modelling of Armstrong-Frederick kinematic hardening in the finite strain regime.
• Non-oscillation criteria for hypoelastic models under simple shear deformation
• Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate.
• Directional distortional hardening in metal plasticity within thermodynamics
• Elastoplasticity beyond small deformations
• A phenomenological model of finite strain viscoplasticity with distortional hardening
• Objective stress rates, cyclic deformation paths, and residual stress accumulation
• Generalization of one-dimensional material models for the finite element method
• Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
• Numerical study of consistency of rate constitutive equations with elasticity at finite deformation

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