Homogenizing the viscoelasticity problem with long-term memory

DOI10.1134/S0001434613090125zbMath1282.74073MaRDI QIDQ2436376

V. V. Shumilova

Publication date: 24 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Laplace transformGalerkin methodsystem of integro-differential equationstwo-scale convergence methodhomogenized viscoelasticity problemviscoelasticity problem with long-term memory

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Viscoelastic fluids (76A10) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (4)

Homogenization of the system of acoustic equations for layered viscoelastic media ⋮ Effective Acoustic Equations for a Layered Material Described by the Fractional Kelvin-Voigt Model ⋮ Problem of the boundary control of oscillations of a sample of a layered two-phase composite material ⋮ Homogenization of the acoustic equations for a medium consisting of a viscoelastic material and a slightly viscous compressible liquid

Cites Work

• Homogenization of thermo-viscoelastic Kelvin-Voigt model
• MEMORY EFFECT IN HOMOGENIZATION OF A VISCOELASTIC KELVIN–VOIGT MODEL WITH TIME-DEPENDENT COEFFICIENTS
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On an extension of the method of two-scale convergence and its applications
• Homogenization of a viscoelastic matrix in linear frictional contact
• Homogenization of elasticity problems on singular structures
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