×

Dynamic processes for a class of elastic-viscoplastic materials. (English) Zbl 0761.73040

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
PDFBibTeX XMLCite