Three-phase model of particulate composites in second gradient elasticity
DOI10.1016/j.euromechsol.2019.103853zbMath1477.74022OpenAlexW2972628190MaRDI QIDQ2332507
Vladimir Korolenko, Sergey Lurie, Yu. O. Solyaev
Publication date: 4 November 2019
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2019.103853
size effecteffective propertygeneralized self-consistent schemespherical inclusionPapkovich-Neuber solutionEshelby formulaMindlin second gradient elasticitythree-phase sphere model
Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Elastic materials (74B99)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact solution of Eshelby-Christensen problem in gradient elasticity for composites with spherical inclusions
- Cohesion field: Barenblatt's hypothesis as formal corollary of theory of continuous media with conserved dislocations
- A novel atomistic approach to determine strain-gradient elasticity constants: tabulation and comparison for various metals, semiconductors, silica, polymers and the (ir)relevance for nanotechnologies
- Solutions for effective shear properties in three phase sphere and cylinder models
- A boundary element method for solving 2-D and 3-D static gradient elastic problems. I: Integral formulation.
- Revisiting bending theories of elastic gradient beams
- Inclusion problem in second gradient elasticity
- Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
- A hierarchy of simplified constitutive models within isotropic strain gradient elasticity
- Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials
- A thermomechanical shear lag analysis of short fuzzy fiber reinforced composite containing wavy carbon nanotubes
- Formulation of Toupin-Mindlin strain gradient theory in prolate and oblate spheroidal coordinates
- A unifying variational framework for stress gradient and strain gradient elasticity theories
- Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies
- Linear pantographic sheets: existence and uniqueness of weak solutions
- Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
- Analytical applications and effective properties of a second gradient isotropic elastic material model
- Linear pantographic sheets: asymptotic micro-macro models identification
- Effect of interphase layers on the overall elastic and conductive properties of matrix composites. Applications to nanosize inclusion
- Ultrastrong nanocomposites with interphases: nonlocal deformation and damage behavior
- A new homogenization method based on a simplified strain gradient elasticity theory
- Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress
- On first strain-gradient theories in linear elasticity
- Micro-structure in linear elasticity
- Determination of closed form expressions of the second-gradient elastic moduli of multi-layer composites using the periodic unfolding method
- Electric field gradient effects in an anti-plane circular inclusion in polarized ceramics
- Generalized Hooke's law for isotropic second gradient materials
- Strain gradient solution for Eshelby’s ellipsoidal inclusion problem
- Symmetry conditions in strain gradient elasticity
- At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
- Cauchy tetrahedron argument applied to higher contact interactions
This page was built for publication: Three-phase model of particulate composites in second gradient elasticity