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. (English) Zbl 1330.74039
Summary: We provide a full analytical solution for the problem of a generalized plane strain circular hollow cylinder subjected to axisymmetric loading conditions. The matrix of the cylinder obeys a micromorphic plasticity theory as proposed by M. Gologanu et al. [in: Continuum micromechanics. Wien: Springer. 61–130 (1997; Zbl 0882.73004)]. The solution gives explicit expressions for the displacement, the strain and its gradient, as well as the ordinary and generalized stress fields. The newly derived solution satisfies the equilibrium equations and is shown to be an extension of the solution of the same model problem using (von Mises) classical plasticity theory.
MSC:
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74G05 | Explicit solutions of equilibrium problems in solid mechanics |
Keywords:
micromorphic plasticity; porous metal; hollow cylinder; ductile fracture; analytical solutionCitations:
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