Gassmann equation and replacement relations in micromechanics: a review
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Publication:784970
DOI10.1016/j.ijengsci.2020.103344OpenAlexW3042926528MaRDI QIDQ784970
Publication date: 5 August 2020
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijengsci.2020.103344
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Cites Work
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- Creep and relaxation contribution tensors for spheroidal pores in hereditary solids: fraction-exponential operators approach
- On a possible approximation of changes in elastic properties of a transversely isotropic material due to an arbitrarily oriented crack
- Relations between compliances of inhomogeneities having the same shape but different elastic constants
- Cross-property connections for fiber reinforced piezoelectric materials with anisotropic constituents
- On the Mori-Tanaka method in cracked bodies
- Replacement relations for elastic composite materials having different matrices and related problems
- A variational approach to the theory of the elastic behaviour of multiphase materials
- The energy of inclusions in linear media exact shape-independent relations
- Elastic moduli of a cracked solid
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Coupled estimates for the bulk and shear moduli of a two-dimensional isotropic elastic composite
- On the absence of Eshelby property for non-ellipsoidal inclusions
- Materials with fluid-filled pores of various shapes: Effective elastic properties and fluid pressure polarization
- Explicit cross-property correlations for anisotropic two-phase composite materials
- Generalization of Maxwell homogenization scheme for elastic material containing inhomogeneities of diverse shape
- Evaluation of the effective elastic and conductive properties of a material containing concave pores
- Equivalent microstructure problem: mathematical formulation and numerical solution
- Inverse homogenization problem: evaluation of elastic and electrical (thermal) properties of composite constituents
- On quantitative characterization of microstructures and effective properties
- Effect of an inhomogeneous interphase zone on the bulk modulus and conductivity of a particulate composite
- Effective elastic properties of matrix composites with transversely-isotropic phases
- Overall moduli of solids with microcracks: load-induced anisotropy
- Fourth-order moments of nonnegative measures on \(S^ 2\) and applications
- On an arbitrarily oriented crack in a transversely-isotropic medium
- Maxwell's methodology of estimating effective properties: alive and well
- Reconstruction of elastic properties and thermal conductivity of solid materials from their small fragments
- Principle of equivalent microstructure in micromechanics and its connection with the replacement relations. Thermal conductivity problem
- Replacement relations for a viscoelastic material containing multiple inhomogeneities
- On bounds for the overall elastic moduli of inhomogeneous systems. I
- On the overall elastic moduli of composite materials
- Effective elastic properties of solids with two-dimensional inclusions of irregular shapes
- Elastic properties of reinforced solids: Some theoretical principles
- Connection between the conductivity and bulk modulus of isotropic composite materials
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- The elastic field outside an ellipsoidal inclusion
- The Elastic Moduli of Heterogeneous Materials
- Mechanics of Deformation and Acoustic Propagation in Porous Media
- Analysis of Composite Materials—A Survey
- Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- Elastic wave behavior across linear slip interfaces
- New bounds on effective elastic moduli of two-component materials
- A Theorem on the Conductivity of a Composite Medium
- The effect of cracks on the compressibility of rock
- Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media
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