Exact solution of Eshelby-Christensen problem in gradient elasticity for composites with spherical inclusions

DOI10.1007/S00707-015-1422-3zbMath1382.74057OpenAlexW2218652011MaRDI QIDQ255214

Natalia Tuchkova, Sergey Lurie, Dmitrii Volkov-Bogorodskii

Publication date: 9 March 2016

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-015-1422-3

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Composite and mixture properties (74E30) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (9)

Exact solution of Eshelby's inhomogeneity problem in strain gradient theory of elasticity and its applications in composite materials ⋮ Structural analysis in the problems of gradient elasticity ⋮ On general representations of Papkovich-Neuber solutions in gradient elasticity ⋮ Equivalent configurational stress to predict material yielding and crack propagation ⋮ Radial multipliers in solutions of the Helmholtz equations ⋮ 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 ⋮ Three-phase model of particulate composites in second gradient elasticity ⋮ Anti-plane inclusion problem in the second gradient electroelasticity theory

Cites Work

• Elastic materials with couple-stresses
• Solutions for effective shear properties in three phase sphere and cylinder models
• Elastic behaviour of multiply coated fibre-reinforced composites
• Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials
• On first strain-gradient theories in linear elasticity
• Micro-structure in linear elasticity
• Elasticity of Multilayers: Properties of the Propagator Matrix and Some Applications

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