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

Mauro Ferrari

Displaying similar documents to “On the domain of applicability of the Mori-Tanaka effective medium theory”

On tensor functions whose gradients have some skew-symmetries

Adriano Montanaro (1991)

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

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Let $V_{n}$ be a real inner product space of any dimension; and let $Q^{α_{1} \dots α_{v}} = {\overset{⌃}{Q}}^{α_{1} \dots α_{v}} (X_{β 1 \dots β_{τ}})$ be a $C^{2}$ -map relating any two tensor spaces on $V_{n}$ . We study the consequences imposed on the form of this function by the condition that its gradient should be skew-symmetric with respect to some pairs $(α_{μ}, β_{η})$ of indexes. Any such a condition is written as a system of linear partial differential equations, with constant coefficients, which is symmetric with respect to certain couples of independent variables. The solutions of these...

Remarks concerning the canonical formulation of field equations

C. Lanczos (1957-1958)

Séminaire Janet. Mécanique analytique et mécanique céleste

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Coupled fields in a piezoelectric body

M. Kopisz (1991)

Applicationes Mathematicae

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Some properties of fundamental bipoint tensor

N. Bokan (1971)

Matematički Vesnik

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New criteria for H-tensors and an application

Feng Wang, Deshu Sun (2015)

Open Mathematics

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Some new criteria for identifying H-tensors are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor are given. Advantages of results obtained are illustrated by numerical examples.