Irreversible deformation of a rotating disk having angular acceleration. (English) Zbl 1478.74015

Summary: This paper is devoted to the study of deformation of a disk rotating with changing angular velocity under consecutive accumulation of creep and plastic strains. The differential equations which help to calculate the fields of stresses, strains, displacements and velocities are obtained; the method of finite difference is used for solving the problem. The evolution of the viscoplastic flow region is investigated. The Norton power law is used as creep law; the von Mises’s generalized yield criterion is applied as viscoplastic flow condition. The obtained solution is compared to the classical elastoplasticity case. A hollow disk and a disk with a rigid inclusion are studied.


74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
74H99 Dynamical problems in solid mechanics
74E05 Inhomogeneity in solid mechanics
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