Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials

DOI10.1016/j.ijengsci.2011.05.001zbMath1423.74049OpenAlexW2023816087MaRDI QIDQ1659779

Elias C. Aifantis, Anatolii Leontiev, Dmitrii Volkov-Bogorodskii, Sergey Lurie

Publication date: 23 August 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.05.001

zbMATH Keywords

three-phase modelgradient theoryinterphase layereffective composite propertiesEshelby's inclusion method

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Micromechanical theories (74A60) Random materials and composite materials (74A40)

Related Items (12)

Exact solution of Eshelby's inhomogeneity problem in strain gradient theory of elasticity and its applications in composite materials ⋮ Semi-analytical solution for the Lamb's problem in second gradient elastodynamics ⋮ Positive definiteness in coupled strain gradient elasticity ⋮ On general representations of Papkovich-Neuber solutions in gradient elasticity ⋮ Deformation of an elastic second gradient spherical body under equatorial line density of dead forces ⋮ Effects of strain gradient and electromagnetic field gradient on potential and field distributions of multiferroic fibrous composites ⋮ Euromech 579, Arpino 3--8 April 2017: ``Generalized and microstructured continua: new ideas in modeling and/or applications to structures with (nearly)inextensible fibers -- a review of presentations and discussions ⋮ Gradient elasticity and size effect for the borehole problem ⋮ Three-phase model of particulate composites in second gradient elasticity ⋮ Anti-plane inclusion problem in the second gradient electroelasticity theory ⋮ Effective length scale parameters of the fiber-reinforced composites ⋮ Exact solution of Eshelby-Christensen problem in gradient elasticity for composites with spherical inclusions

Cites Work

• Unnamed Item
• Unnamed Item
• Cohesion field: Barenblatt's hypothesis as formal corollary of theory of continuous media with conserved dislocations
• On the role of gradients in the localization of deformation and fracture
• A simple approach to solve boundary-value problems in gradient elasticity
• The physics of plastic deformation
• Mechanism-based strain gradient plasticity. I: Theory
• Theories of elasticity with couple-stress
• The role of interfaces in enhancing the yield strength of composites and polycrystals
• Micro-structure in linear elasticity
• Gradient Theory of Media with Conserved Dislocations: Application to Microstructured Materials

This page was built for publication: Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials