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On some sharp bounds for the off-diagonal elements of the homogenized tensor

Dag Lukkassen (1995)

Applications of Mathematics

In this paper we study bounds for the off-diagonal elements of the homogenized tensor for the stationary heat conduction problem. We also state that these bounds are sharp by proving a formula for the homogenized tensor in the case of laminate structures.

On the anelastic evolution of second-grade materials.

Marcelo Epstein (1999)

Extracta Mathematicae

On the domain of applicability of the Mori-Tanaka effective medium theory

Mauro Ferrari (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The Mori-Tanaka effective stiffness tensor is shown to be asymmetric in general. This tensor is proven to be symmetric for composites with isotropic inclusions, or with spherical reinforcements. Symmetry is also proven for the case of unidirectional fibers, of any shape and material. The Mori-Tanaka theory is shown to yield physically unacceptable predictions at the high concentration limit.

Displaying 1 – 6 of 6

On some sharp bounds for the off-diagonal elements of the homogenized tensor

On the anelastic evolution of second-grade materials.

On the domain of applicability of the Mori-Tanaka effective medium theory

On the edge singularities in composite media. Influence of anisotropy

On the existence and regularity of solutions to the problem of transmission

Optimum composite material design

Currently displaying 1 – 6 of 6