On the admissibility of an isotropic, smooth elastic continuum

• Autorzy: Ostoja-Starzewski M.
• Języki publikacji: EN

Abstrakty

EN

Many studies of elasticity of inhomogeneous materials - in both elastostatics and elastodynamics - assume the existence of locally isotropic, smooth stiffness tensor fields. We investigate the correctness of such a model in the simplest setup of anti-plane classical elasticity. We work with the concept of mesoscale (or apparent) moduli for a finite-size window placed in such a material, in accordance with the Hill condition for the Hooke law. The limit from mesoscale down to infinitesimal windows is admissible within the model of an assumed smooth, locally isotropic continuum. However, this limit is not admissible from the standpoint of a microstructure, and, in order to set up an inhomogeneous elastic medium, one must introduce its anisotropy. A separate argument against the local isotropy stems from the representation of a correlation function of a wide-sense stationary and isotropic random field, whose realizations are smooth stiffness tensor fields.

Słowa kluczowe

PL

sprężystość materiałów niejednorodnych; tensor naprężeń; tensor sprężystości; prawo Hooke'a; anizotropia naprężeń

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2005
• Tom: Vol. 57, nr 4
• Strony: 345--355
• Opis fizyczny: Bibliogr. 19 poz., rys.

Twórcy

autor

Ostoja-Starzewski M.

• Department of Mechanical Engineering McGill University, Montréal, Québec H3A 2K6, CANADA

Bibliografia

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