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Applicable Analysis
An International Journal
Volume 15, 1983 - Issue 1-4
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Original Articles

Homogenization and Asymptotic Expansions for Solutions of the Elasticity System with Rapidly Oscillating Periodic Coefficients

A. Oleinik
,
G. P. Panasenko
&
G. A. Yosifian
Pages 15-32 | Published online: 02 May 2007

Citations (12)

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Chuanchuan Shen, Li Ma, Ping Xu, Jing Guo & Jinyang Zheng. (2022) Composite plates with randomly distributed weak bonding: Heterogeneity and virtual testing. Mechanics of Advanced Materials and Structures 29:25, pages 4329-4342.
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Valeria Chiadòpiat & Anneliese Defranceschi. (1990) Asymptotic behaviour of quasi-linear problems with neumann boundary conditions on perforated domains. Applicable Analysis 36:1-2, pages 65-87.
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Articles from other publishers (10)

Bruno Guilherme Christoff, Humberto Brito-Santana, Ramesh Talreja & Volnei Tita. (2022) Multiscale embedded models to determine effective mechanical properties of composite materials: Asymptotic Homogenization Method combined to Finite Element Method. Composites Part C: Open Access 9, pages 100303.
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Y. Espinosa-Almeyda, R. Rodríguez-Ramos, H. Camacho-Montes, R. Guinovart-Díaz & F. J. Sabina. (2021) Elliptic functions and lattice sums for effective properties of heterogeneous materials. Continuum Mechanics and Thermodynamics 33:4, pages 1621-1636.
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J. C. López-Realpozo, R. Rodríguez-Ramos, A. J. Quintero Roba, H. Brito-Santana, R. Guinovart-Díaz, Volnei Tita, F. Lebon, H. Camacho-Montes, Y. Espinosa-Almeyda, J. Bravo-Castillero & F. J. Sabina. (2020) Behavior of piezoelectric layered composites with mechanical and electrical non-uniform imperfect contacts. Meccanica 55:1, pages 125-138.
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Humberto Brito-Santana, José Luís Medeiros Thiesen, Ricardo de Medeiros, Antonio Joaquim Mendes Ferreira, Reinaldo Rodríguez-Ramos & Volnei Tita. (2019) Multiscale analysis for predicting the constitutive tensor effective coefficients of layered composites with micro and macro failures. Applied Mathematical Modelling 75, pages 250-266.
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Humberto Brito-Santana, Bruno Guilherme Christoff, Antonio Joaquim Mendes Ferreira, Frédéric Lebon, Reinaldo Rodríguez-Ramos & Volnei Tita. (2018) Delamination influence on elastic properties of laminated composites. Acta Mechanica 230:3, pages 821-837.
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Humberto Brito-Santana, Ricardo de Medeiros, Antonio Joaquim Mendes Ferreira, Reinaldo Rodríguez-Ramos & Volnei Tita. (2018) Effective elastic properties of layered composites considering non-uniform imperfect adhesion. Applied Mathematical Modelling 59, pages 183-204.
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S A Nazarov & A S Slutskii. (1998) Asymptotic behaviour of solutions of boundary-value problems for equations with rapidly oscillating coefficients in a domain with a small cavity. Sbornik: Mathematics 189:9, pages 1385-1422.
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Сергей Александрович Назаров, Sergei Aleksandrovich Nazarov, Андрей Семенович Слуцкий & Andrey Semenovich Slutskij. (1998) Асимптотика решений краевых задач для уравнения с быстроосциллирующими коэффициентами в области с малой полостьюAsymptotic behaviour of solutions of boundary-value problems for equations with rapidly oscillating coefficients in a domain with a small cavity. Математический сборник Matematicheskii Sbornik 189:9, pages 107-142.
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. 1992. Mathematical Problems in Elasticity and Homogenization. Mathematical Problems in Elasticity and Homogenization 383 398 .
O. A. Oleinik. 1984. Trends and Applications of Pure Mathematics to Mechanics. Trends and Applications of Pure Mathematics to Mechanics 248 272 .

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