A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic

DOI10.1177/1081286516673234zbMath1391.74110OpenAlexW2532528256MaRDI QIDQ4564847

R. Bustamante, Rodrigo Meneses, Oscar Orellana

Publication date: 7 June 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286516673234

zbMATH Keywords

self-similar solutionselastic rodtravelling wave solutionstrain limiting behaviourimplicit constructive relations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10)

Related Items (5)

On an elastic strain-limiting special Cosserat rod model ⋮ Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity ⋮ Corrigendum: Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies ⋮ Viscoelasticity with limiting strain ⋮ Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory

Cites Work

• Unnamed Item
• Unnamed Item
• On implicit constitutive theories.
• Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack
• Unsteady motions of a new class of elastic solids
• On the nonlinear elastic response of bodies in the small strain range
• The elasticity of elasticity
• Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry
• Conspectus of concepts of elasticity
• Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies
• On a class of non-dissipative materials that are not hyperelastic
• On the response of non-dissipative solids

This page was built for publication: A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic