Generalized Eshelby problem in the gradient theory of elasticity

DOI10.1134/S1995080220100169zbMath1453.74013OpenAlexW3107420608MaRDI QIDQ2214341

D. B. Volkov-Bogorodskiy, E. I. Moiseev

Publication date: 8 December 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220100169

zbMATH Keywords

Laplace equationHelmholtz equationasymptotic homogenizationPapkovich-Neuber representationexact fundamental solution

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Effective constitutive equations in solid mechanics (74Q15) Explicit solutions of equilibrium problems in solid mechanics (74G05) Elastic materials (74B99)

Related Items (2)

Structural analysis in the problems of gradient elasticity ⋮ On general representations of Papkovich-Neuber solutions in gradient elasticity

Cites Work

• \(n\)-layered inclusion-based micromechanical modelling
• On the radial multipliers method in the gradient elastic fracture mechanics
• Systems of functions consistent with inhomogeneities of elliptic and spheroidal shapes in problems of continuum mechanics
• A general solution for strain-gradient elasticity theory
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Radial multipliers in solutions of the Helmholtz equations
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