Ionescu, Ioan R. Dynamic processes for a class of elastic-viscoplastic materials. (English) Zbl 0761.73040 Stud. Cercet. Mat. 44, No. 2, 113-125 (1992). Summary: An initial-boundary value problem describing dynamic processes for a class of rate-type elastic viscoplastic materials is considered. The mechanical problem is reduced to a semilinear hyperbolic equation in a Hilbert space and the existence and the uniqueness of the solution is proved. In the linear viscoplastic case a singular perturbation problem is considered. It is proved that linear elasticity is a proper asymptotic theory for viscoelastic materials. MSC: 74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) 74B99 Elastic materials Keywords:initial-boundary value problem; semilinear hyperbolic equation; Hilbert space; existence; uniqueness; linear viscoplastic case; singular perturbation problem; linear elasticity PDFBibTeX XMLCite \textit{I. R. Ionescu}, Stud. Cercet. Mat. 44, No. 2, 113--125 (1992; Zbl 0761.73040)