Double-Side Estimates of Some Integral Characteristics of Anisotropic Bodies

• Autores: N.V. Banichuk, S.Yu. Ivanova
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 42, Nº. 4, 2014, págs. 502-517
• Idioma: inglés
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• Resumen

  • The problem of estimation of some integral characteristics (functionals) is considered for anisotropic body constituting of the locally orthotropic material. It is assumed that an orientation of the principal axes of orthotropy is not known beforehand at each point of the body and can be distributed by various ways in different parts of the body including chaotic orientation. The estimation of the upper and lower bounds of the considered integral characteristics is of principal importance and is based on the solution of the optimization problems and finding an extremal internal material structures which realize minimum and maximum of the functionals. This approach is applied in this article to some estimation problems of the heat conductivity and the torsion of elastic bars.