Exact solution of a plastic hollow sphere with a Mises-Schleicher matrix

Abstract : In this paper we establish the exact solution for a hollow sphere with a rigid-plastic pressure-sensitive matrix and subjected to hydrostatic traction or compression. The matrix is assumed to obey to a parabolic Mises-Schleicher criterion. The closed-form expressions of the velocity field and of the stress field are provided. These exact solutions, expressed by means of the Lambert W function, allow to assess and discuss existing results.
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Vincent Monchiet, D. Kondo. Exact solution of a plastic hollow sphere with a Mises-Schleicher matrix. International Journal of Engineering Science, Elsevier, 2012, 51 (-), pp.168-178. ⟨10.1016/j.ijengsci.2011.10.007⟩. ⟨hal-00687847⟩

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