An analytic benchmark solution to the problem of a generalized plane strain hollow cylinder made of micromorphic plastic porous metal and subjected to axisymmetric loading conditions

DOI10.1177/1081286513513457zbMath1330.74039OpenAlexW2320177552MaRDI QIDQ3465918

Koffi Enakoutsa

Publication date: 29 January 2016

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

Full work available at URL: https://doi.org/10.1177/1081286513513457

zbMATH Keywords

analytical solutionductile fracturehollow cylinderporous metalmicromorphic plasticity

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plastic materials, materials of stress-rate and internal-variable type (74C99) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (3)

Stochastic thermal shock problem and study of wave propagation in the theory of generalized thermoelastic diffusion ⋮ Ductile void growing in micromorphic GLPD porous plastic solids containing two populations of cavities with different sizes ⋮ Analytical elastic-plastic analyses of a spherical shell subjected to hydrostatic tension based on a strain gradient model for plastic metals

Cites Work

• Effects of nonlocal damage in porous plastic solids
• Numerical implementation and assessment of the GLPD micromorphic model of ductile rupture
• Numerical implementation and assessment of a phenomenological nonlocal model of ductile rupture
• Nonlocal effects on localization in a void-sheet
• Strain gradient plasticity solution for an internally pressurized thick-walled spherical shell of an elastic--plastic material.
• Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
• Analytical solutions for the thick-walled cylinder problem modeled with an isotropic elastic second gradient constitutive equation
• Some new applications of the GLPD micromorphic model of ductile fracture
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure

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