Some reflections on the Mori-Tanaka and Ponte Castañeda-Willis methods with randomly oriented ellipsoidal inclusions
From MaRDI portal
Publication:1568145
DOI10.1007/BF01175978zbMath0985.74056OpenAlexW2134932360MaRDI QIDQ1568145
Publication date: 18 May 2002
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01175978
effective elastic moduliself-consistent methodMori-Tanaka methodorientational averagePonte Castañeda-Willis formularandomly oriented ellipsoidal inclusions
Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Random materials and composite materials (74A40)
Related Items (9)
On the yield strength of a ductile material reinforced with rigid spherical inclusions ⋮ Dynamic effective models of two-dimensional acoustic metamaterials with cylindrical inclusions ⋮ Estimating the poroelastic properties of cracked materials ⋮ On reflected interactions in elastic solids containing inhomogeneities ⋮ Biography of the Prager Medalist: Professor George Weng ⋮ Interactions between \(N\) circular cylindrical inclusions in a piezoelectric matrix ⋮ Effective viscoelastic behavior of particulate polymer composites at finite concentration ⋮ The influence of two-point statistics on the Hashin-Shtrikman bounds for three phase composites ⋮ Effective stiffness of composites reinforced by cylindrical fibers with smooth ends, with potential application to nanocomposites
Cites Work
- Unnamed Item
- A method of plasticity for general aligned spheroidal void or fiber-reinforced composites
- Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
- The effective mechanical properties of nonlinear isotropic composites
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Explicit evaluation of Willis' bounds with ellipsoidal inclusions
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- The effect of spatial distribution on the effective behavior of composite materials and cracked media
- On bounds for the overall elastic moduli of inhomogeneous systems. I
- On the overall elastic moduli of composite materials
- The theoretical connection between Mori-Tanaka's theory and the Hashin- Shtrikman-Walpole bounds
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- A Theory of Plasticity for Porous Materials and Particle-Reinforced Composites
This page was built for publication: Some reflections on the Mori-Tanaka and Ponte Castañeda-Willis methods with randomly oriented ellipsoidal inclusions
