Shear Waves in a Class of Nonlinear Viscoelastic Solids

DOI10.1093/qjmam/56.2.311zbMath1108.74344OpenAlexW2155725543MaRDI QIDQ4444092

Giuseppe Saccomandi, Kumbakonam R. Rajagopal

Publication date: 25 February 2004

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/56.2.311

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Nonlinear waves in solid mechanics (74J30) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (12)

Propagation of infinitesimal thermo-mechanical waves during the finite-deformation loading of a viscoelastic material: general theory ⋮ Kink solutions for a class of generalized dissipative equations ⋮ Spatial estimates for Kelvin–Voigt finite elasticity with nonlinear viscosity: Well behaved solutions in space ⋮ Response of Anisotropic Nonlinearly Viscoelastic Solids ⋮ Viscoelasticity with limiting strain ⋮ Approximate symmetries in nonlinear viscoelastic media ⋮ Finite amplitude transverse waves in materials with memory ⋮ Symmetries and reduction techniques for dissipative models ⋮ On Constitutive Equations For Anisotropic Nonlinearly Viscoelastic Solids ⋮ Mathematical results concerning a class of incompressible viscoelastic solids of differential type ⋮ Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory ⋮ Exact solutions for a nonlinear model of dissipative media

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