The collective behavior of shear strain localizations in dipolar materials

DOI10.1016/j.amc.2018.06.005zbMath1427.74009OpenAlexW2811157912MaRDI QIDQ2335742

R. V. Muratov, Nikolay A. Kudryashov, Pavel N. Ryabov

Publication date: 15 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.06.005

zbMATH Keywords

differential equationsstrain localizationnumerical simulationself-organizationshear band

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Thermal effects in solid mechanics (74F05) Polar materials (74A35) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Dynamic domain decomposition method based on weighted Voronoi diagrams ⋮ Numerical studies of self-organization of shear bands in one and two dimensions ⋮ Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation ⋮ A finite volume method for numerical simulations of adiabatic shear bands formation

Cites Work

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• Dynamic shear band development in dipolar thermoviscoplastic materials
• Mesh-free simulations of shear banding in large deformation
• Temporal evolution of shear band thickness
• A numerical methodology for investigating the formation of adiabatic shear bands
• The formation of multiple adiabatic shear bands
• Elastic-plastic continua with simple force dipole
• A strain gradient theory of plasticity
• Dynamic shear band propagation and micro-structure of adiabatic shear band.

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