Diffusion of Self-Equilibrating End Loads in a Stretched Elastoplastic Circular Cylinder

DOI10.1115/1.2897644zbMath0735.73039OpenAlexW1990328163MaRDI QIDQ3985832

W. J. Stronge, David Durban

Publication date: 27 June 1992

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2897644

zbMATH Keywords

modified Bessel functionsexact analytical solutioncylindrical surfacegoverning field equationsthree velocity components\(J_ 2\)-flowasymmetric instantaneous self-equilibrating disturbancesflexural eigenfunctionfour linear partial differential equationshydrostatic stress ratelow rates of axial diffusionreduced to four ordinary differential equationsSaint- Venant's principle at finite strainsstrain-hardening solidsstress- free boundary conditionssupplemented by homogeneous stress-free boundary conditionstranscendental equation for the associated eigenvalues

Mathematics Subject Classification ID

Saint-Venant's principle (74G50) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Plastic materials, materials of stress-rate and internal-variable type (74C99)

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