Qualitative behaviour of viscoplastic solutions in the vicinity of maximum-friction surfaces

DOI10.1007/s10665-009-9277-zzbMath1176.74031OpenAlexW2071408411MaRDI QIDQ1041468

Sergei Yu. Alexandrov, Gennady S. Mishuris

Publication date: 2 December 2009

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-009-9277-z

zbMATH Keywords

frictionsingularityasymptotic analysisviscoplasticity

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Friction in solid mechanics (74M10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Qualitative behavior of solutions of equilibrium problems in solid mechanics (74G55)

Related Items (11)

Effect of constitutive equations on qualitative behavior of solutions in the vicinity of bi-material interfaces at large plastic strains ⋮ Heat generation in plane strain compression of a thin rigid plastic layer ⋮ Singular rigid/plastic solutions in anisotropic plasticity under plane strain conditions ⋮ Application of the Strain Rate Intensity Factor to Modeling Material Behavior in the Vicinity of Frictional Interfaces ⋮ Behavior of anisotropic plastic solutions in the vicinity of maximum-friction surfaces ⋮ Singular solutions in viscoplasticity under plane strain conditions ⋮ Effect of the shape of pressure-dependent yield surfaces on solution behaviour near frictional interfaces ⋮ An efficient method of analysis of heat transfer during plane strain upsetting of a viscoplastic strip ⋮ A numerical method for determining the strain rate intensity factor under plane strain conditions ⋮ The transition of qualitative behaviour between rigid perfectly plastic and viscoplastic solutions ⋮ Quasi-static axially symmetric viscoplastic flows near very rough walls

Cites Work

• Singular plastic flow fields near surfaces of maximum friction stress
• Comparison of solution behaviour for three models of pressure-dependent plasticity: a simple analytical example
• Viscoplasticity with a saturation stress: Distinguishing features of the model
• A theory of the kinematics of ideal soils under plane strain conditions
• A hyperbolic well-posed model for the flow of granular materials
• Comparison of Double-Shearing and Coaxial Models for Pressure-Dependent Plastic Flow at Frictional Boundaries
• An Analysis of the Plane-Strain Compression of Viscoplastic Materials
• Qualitative Distinctions in the Solutions Based on the Plasticity Theories with the Mohr-Coulomb Yield Criterion
• On the maximum friction law for rigid/plastic, hardening materials
• Unnamed Item

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