New reciprocal and continuous dependence theorems in linear theory of viscoelasticity

DOI10.1016/0020-7225(89)90081-5zbMath0704.73034OpenAlexW2137976064MaRDI QIDQ917369

Salvatore Rionero, Stan Chiriţă

Publication date: 1989

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(89)90081-5

zbMATH Keywords

uniquenessreciprocal relationsLagrange identitycontinuous data dependenceweight function methodsbounded regionsdynamic theory of viscoelasticityexterior unbounded regionsquasi-static boundary value problems

Mathematics Subject Classification ID

Optimization of other properties in solid mechanics (74P10) Regularity of solutions in optimal control (49N60) Dynamical problems in solid mechanics (74Hxx)

Related Items (3)

On uniqueness and continuous dependence of solutions in viscoelastic mixtures ⋮ Lagrange identity in linear viscoelasticity ⋮ Some uniqueness and continuous dependence results in the theory of swelling porous elastic soils

Cites Work

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• On the linear theory of viscoelasticity
• The Lagrange identity method in linear thermoelasticity
• Uniqueness theorems in the linear dynamic theory of anisotropic viscoelastic solids
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• Time-reversal and the symmetry of the relaxation function of a linear viscoelastic material
• Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems
• On uniqueness in linear viscoelasticity
• A Correspondence Principle for Free Vibrations of a Viscoelastic Solid
• On dissipation inequalities and linear viscoelasticity
• A Reciprocal Theorem in the Linear Theory of Anisotropic Viscoelastic Solids

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