On a Special Class of Nonlinear Viscoelastic Solids

DOI10.1177/1081286509104540zbMath1257.74031OpenAlexW2057268167MaRDI QIDQ4905298

Giuseppe Saccomandi, Edvige Pucci

Publication date: 15 February 2013

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

Full work available at URL: https://doi.org/10.1177/1081286509104540

zbMATH Keywords

localizationKelvin-Voigt modelnonlinear viscoelasticiyshear rate viscosityshear strain viscosity

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10)

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Cites Work

• Unnamed Item
• Quasilinear equations for viscoelasticity of strain-rate type
• Universal motions for a class of viscoelastic materials of differential type
• Systems of nonlinear wave equations with nonlinear viscosity
• A note on a reappraisal and generalization of the Kelvin-Voigt model
• Lectures on viscoelasticity theory
• Thermodynamics, stability and nonlinear oscillations of viscoelastic solids. I: Differential type solids of second grade
• The Importance of the Compatibility of Nonlinear Constitutive Theories With Their Linear Counterparts