On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media

DOI10.1016/S0022-5096(99)00090-3zbMath0984.74065OpenAlexW2089434798MaRDI QIDQ1976957

Valery P. Smyshlyaev, Kirill D. Cherednichenko

Publication date: 5 May 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-5096(99)00090-3

zbMATH Keywords

variational methodeffective constitutive relationasymptotic expansion for energyhigher-order unit cell problemhomogenised equationperiodic elastic mediumstrain gradient equation

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Inhomogeneity in solid mechanics (74E05) Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05)

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