Multiscale analysis of linearized peridynamics

DOI10.4310/CMS.2015.V13.N5.A6zbMath1327.74129OpenAlexW2330123285MaRDI QIDQ500893

Tadele Mengesha, Qiang Du

Publication date: 8 October 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2015.v13.n5.a6

zbMATH Keywords

elasticityhomogenizationheterogeneous materialsnonlocal equationsmultiscale analysisNavier equationtwo-scale convergenceperidynamics

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Inhomogeneity in solid mechanics (74E05) Homogenization in equilibrium problems of solid mechanics (74Q05) Integral operators (45P05) Systems of linear integral equations (45F99)

Related Items (3)

Asymptotic Analysis of a Coupled System of Nonlocal Equations with Oscillatory Coefficients ⋮ Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media ⋮ Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues

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