Homogenisation of a viscoelastic equation with non-periodic coefficients

DOI10.1017/S030821050001828XzbMath0629.73024MaRDI QIDQ3766923

M. Luísa Mascarenhas

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak solutionsH-convergencesymmetric positive definitearbitrary dimensionsquasistatic problemanalytic kernel varying in the space variablesbounded variant matricesconverge weaklydynamic limit equationfamily of constitutive equationshomogenization-type procedureKelvin- Voigt viscoelastic solidmicroscopic periodic structureVolterra-integrodifferential equation

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Volterra integral equations (45D05) Dynamical problems in solid mechanics (74Hxx)

Related Items (6)

Memory effect phenomena and Г-convergence ⋮ FEM-IDS for a second order strongly damped wave equation with memory ⋮ Fading memory effects in elastic-viscoelastic composites ⋮ Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics ⋮ Robust exponential attractors for the strongly damped wave equation with memory. I. ⋮ Robust exponential attractors for the strongly damped wave equation with memory. II.

Cites Work

• AVERAGING ANDG-CONVERGENCE OF DIFFERENTIAL OPERATORS

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