Thermal softening induced plastic instability in rate-dependent materials

DOI10.1016/j.jmps.2008.04.010zbMath1252.74019OpenAlexW1986118676MaRDI QIDQ835898

Xianwu Ling, Ted Beltytschko

Publication date: 31 August 2009

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2008.04.010

zbMATH Keywords

neckingshear bendingJohnson-Cook materiallinear perturbation analysisstability/instability criterion

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Thermal effects in solid mechanics (74F05) Bifurcation and buckling (74G60)

Related Items (9)

Finite block Petrov-Galerkin method in transient heat conduction ⋮ Explicit and implicit methods for shear band modeling at high strain rates ⋮ A coupled phase field shear band model for ductile-brittle transition in notched plate impacts ⋮ Finite block method for transient heat conduction analysis in functionally graded media ⋮ Frictional contact analysis of functionally graded materials with Lagrange finite block method ⋮ Finite block method in elasticity ⋮ Onset of shear band localization by a local generalized eigenvalue analysis ⋮ Three-dimensional explicit finite element formulation for shear localization with global tracking of embedded weak discontinuities ⋮ Finite element formulation with embedded weak discontinuities for strain localization under dynamic conditions

Cites Work

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• Onset of shear localization in viscoplastic solids
• Material rate dependence and mesh-sensitivity in localization problems
• Acceleration waves in solids
• Thermoplastic instability in simple shear
• Perturbation analysis of shear strain localization in rate sensitive materials
• On shear band nucleation and the finite propagation speed of thermal disturbances
• The two-dimensional structure of dynamic boundary layers and shear bands in thermoviscoplastic solids.
• Analytical Characterization of Shear Localization in Thermoviscoplastic Materials

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