Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder
نویسندگان
چکیده
منابع مشابه
Generalized solution of functionally graded hollow cylinder under torsional load
In this paper, a general solution for torsion of hollow cylinders made of functionally graded materials (FGM) was investigated. The problem was formulated in terms of Prandtl’s stress and, in general, the shear stress and angle of twist were derived. Variations in the material properties such as Young’s modulus and Poisson’s ratio might be arbitrary functions of the radial coordinate. Various m...
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For a functionally graded (FG) circular cylinder loaded by uniform pressures on the inner and the outer surfaces and Young’s modulus varying in the radial direction, we find lower and upper bounds for Young’s modulus of the energetically equivalent homogeneous cylinder. That is, the strain energies of the FG and the homogeneous cylinders are equal to each other. For a typical power law variatio...
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متن کاملCentral-Upwind Scheme for a Non-hydrostatic Saint-Venant System
We develop a second-order central-upwind scheme for the non-hydrostatic version of the Saint-Venant system recently proposed in [M.-O. Bristeau and J. Sainte-Marie, Discrete Contin. Dyn. Syst. Ser. B, 10 (2008), pp. 733–759]. The designed scheme is both well-balanced (capable of exactly preserving the “lake-at-rest” steady state) and positivity preserving. We then use the central-upwind scheme ...
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ژورنال
عنوان ژورنال: Mathematics and Mechanics of Solids
سال: 2018
ISSN: 1081-2865,1741-3028
DOI: 10.1177/1081286518796474