Exact representation of the derivates of isotropic tensor functions with respect to the deformation gradient F

• Autorzy: Ercolano A.
• Języki publikacji: EN

Abstrakty

EN

Expressions for derivatives of isotropic tensor functions with respect to the deformation tensor F are derived. Each derivative has the first representation in terms of eigenvectors; then, for computational conveniences, also a basis-free expression, in terms of eigenprojections, is reported. Further, in the same fashion, also the time derivatives are provided. In the paper, a short review of different approaches to the problem existing in literature is presented. In order to make the exposition self-contained, some backgrounds of tensor analysis are also given.

Słowa kluczowe

EN

gradient; tensor function

PL

gradient; funkcja tensorowa

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2006
• Tom: Vol. 54, iss. 2
• Strony: 91--124
• Opis fizyczny: Bibliogr. 41 poz.

Twórcy

autor

Ercolano A.

• Dipartimento di Meccanica, Strutture, Ambiente Territorio Facoltá di Ingegneria di Cassino Via G. Di Biasio, n.43,

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