Homogenization methods for multi-phase elastic composites with non-elliptical reinforcements: comparisons and benchmarks
DOI10.1016/j.euromechsol.2011.12.002zbMath1348.74292OpenAlexW2042939143MaRDI QIDQ338133
Bob Svendsen, Helmut J. Böhm, Benjamin Klusemann
Publication date: 4 November 2016
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.2011.12.002
analytical solutionhomogenizationeffective elastic propertiesEshelby tensornon-elliptical inhomogeneities
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Micromechanical theories (74A60) Analysis of microstructure in solids (74N15)
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Cites Work
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- Eshebly tensors for a finite spherical domain with an axisymmetric inclusion
- Fast, curvature-based prediction of rolling forces for porous media based on a series of detailed simulations
- Relations between compliances of inhomogeneities having the same shape but different elastic constants
- Modeling of the thermal conductivity and thermomechanical behavior of diamond reinforced composites
- A micromechanics-based nonlocal constitutive equation for elastic composites containing randomly oriented spheroidal heterogeneities
- Scaling function, anisotropy and the size of RVE in elastic random polycrystals
- Effective conductivity in isotropic heterogeneous media using a strong-contrast statistical continuum theory
- On computation of the compliance and stiffness contribution tensors of non ellipsoidal inhomogeneities
- A micromechanics-based nonlocal constitutive equation and minimum RVE size estimates for random elastic composites containing aligned spheroidal heterogeneities
- Comparison of prediction on effective elastic property and shape optimization of truss material with periodic microstructure
- Eshelby's problem of non-elliptical inclusions
- An adaptive method for homogenization in orthotropic nonlinear elasticity
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Solutions for effective shear properties in three phase sphere and cylinder models
- On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media
- On the shape of the Eshelby inclusions
- Morphology and effective properties of disordered heterogeneous media
- Extrema of Young's modulus for cubic and transversely isotropic solids.
- Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
- A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
- Eshelby tensor of a polygonal inclusion and its special properties
- On micromechanical modeling of particulate composites with inclusions of various shapes
- A further exploration of the interaction direct derivative (IDD) estimate for the effective properties of multiphase composites taking into account inclusion distribution
- Extrema of Young's modulus for elastic solids with tetragonal symmetry
- Fitting hyperelastic models to experimental data
- Irreducible structure, symmetry and average of Eshelby's tensor fields in isotropic elasticity
- Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
- Effective elastic properties of solids with two-dimensional inclusions of irregular shapes
- 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
- Elastic Fields in a Polyhedral Inclusion With Uniform Eigenstrains and Related Problems
- A Simplified Method for Upscaling Composite Materials with High Contrast of the Conductivity
- A review of homogenization and topology optimization I—homogenization theory for media with periodic structure
- Elastic Fields in a Polygon-Shaped Inclusion With Uniform Eigenstrains
- On Young’s Modulus for Anisotropic Media
- Solutions to the Eshelby conjectures
- Fracture Mechanics
- An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution