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Naji, M. |
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Motta, Antonella |
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Aletan, Dirar |
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Mohamed, Tarek |
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Ertürk, Emre |
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Taccardi, Nicola |
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Kononenko, Denys |
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Petrov, R. H. | Madrid |
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Alshaaer, Mazen | Brussels |
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Bih, L. |
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Casati, R. |
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Muller, Hermance |
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Kočí, Jan | Prague |
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Šuljagić, Marija |
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Kalteremidou, Kalliopi-Artemi | Brussels |
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Azam, Siraj |
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Ospanova, Alyiya |
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Blanpain, Bart |
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Ali, M. A. |
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Popa, V. |
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Rančić, M. |
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Ollier, Nadège |
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Azevedo, Nuno Monteiro |
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Landes, Michael |
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Rignanese, Gian-Marco |
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Parnell, William J.
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Topics
Publications (21/21 displayed)
- 2022Deeply subwavelength giant monopole elastodynamic metacluster resonators
- 2022A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxationcitations
- 2022Transition from equatorial to whole-shell buckling in embedded spherical shells under axisymmetric far-field loadingcitations
- 2022Enhanced elastodynamic resonance via co-dipole metaclusterscitations
- 2021Geometrical and Mechanical Characterisation of Hollow Thermoplastic Microspheres for Syntactic Foam Applicationscitations
- 2019Soft metamaterials with dynamic viscoelastic functionality tuned by pre-deformationcitations
- 2018Thermo-viscous damping of acoustic waves in narrow channels: A comparison of effects in air and water.
- 2018Thermo-viscous damping of acoustic waves in narrow channels: a comparison of effects in air and watercitations
- 2018The inflation of viscoelastic balloons and hollow visceracitations
- 2018The inflation of viscoelastic balloons and hollow visceracitations
- 2018Deepening subwavelength acoustic resonance via metamaterials with universal broadband elliptical microstructurecitations
- 2015Hashin–Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material
- 2013Predicting the pressure-volume curve of an elastic microsphere compositecitations
- 2013Predicting the pressure-volume curve of an elastic microsphere compositecitations
- 2012Employing pre-stress to generate finite cloaks for antiplane elastic wavescitations
- 2012Homogenization methods to approximate the effective response of random fibre-reinforced Compositescitations
- 2012Nonlinear pre-stress for cloaking from antiplane elastic wavescitations
- 2011The effective wavenumber of a pre-stressed nonlinear microvoided compositecitations
- 2009The influence of mesoscale porosity on cortical bone anisotropy. Investigations via asymptotic homogenizationcitations
- 2008Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. I-Theorycitations
- 2007Effective wave propagation in a prestressed nonlinear elastic composite barcitations
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article
Hashin–Shtrikman bounds on the effective thermal conductivity of a transversely isotropic two-phase composite material
Abstract
This paper is concerned with the estimation of the effective thermal conductivity of a transversely isotropic two phase composite. We describe the general construction of the Hashin–Shtrikman bounds from first principles in the conductivity setting. Of specific interest in composite design is the fact that the shape of the inclusions and their distribution can be specified independently. This case covers a multitude of composites used in applications by taking various limits of the spheroid aspect ratio, including both layered media and unidirectional composites. Furthermore the expressions derived are equally valid for a number of other effective properties due to the fact that Laplace’s equation governs a significant range of applications, e.g. electrical conductivity and permittivity, magnetic permeability and many more. We illustrate the implementation of the scheme with several examples.