Large Time Approximation for Shearing Motions

DOI10.1137/16M1076599zbMath1348.74076OpenAlexW2528785459MaRDI QIDQ2827057

Giuseppe Saccomandi, Luigi Vergori

Publication date: 12 October 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1076599

zbMATH Keywords

shearing motionMooney-Rivlin Kelvin-Voigt viscoelastic modelSAOS and LAOS tests

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (4)

Spatial estimates for Kelvin–Voigt finite elasticity with nonlinear viscosity: Well behaved solutions in space ⋮ Nonlinear dynamic longitudinal deformation of a viscoelastic rod with power-law nonlinearity ⋮ Qualitative properties for a Moore-Gibson-Thompson thermoelastic problem with heat radiation ⋮ On the Quasi-Static Approximation to the Initial Traction Boundary Problem of Linear Elastodynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasistatic nonlinear viscoelasticity and gradient flows
• On the quasi-static theory of viscoelasticity
• The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
• Wave propagation in rods of Voigt material and visco-elastic materials with three-parameter models
• New families of exact solutions for finitely deformed incompressible elastic materials
• On a Special Class of Nonlinear Viscoelastic Solids
• Quasi-static deformations of biological soft tissue
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)

This page was built for publication: Large Time Approximation for Shearing Motions