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نتایج جستجو برای Thermo-elastic diffusion

تعداد نتایج: 137788  
B Mukhopadhyay, K Paul,

A generalized thermo-elastic diffusion problem in a functionally graded isotropic, unbounded, rotating elastic medium due to a periodically varying heat source in the context of fractional order theory is considered in our present work. The governing equations of the theory for a functionally graded material with GNIII model are established. Analytical solution of the problem is derived in Lapl...

2015
Filip Z. Klawe,

Motywacją do badań nad równaniami opisującymi odkształcenia termo-lepko-sprężyste jest potrzeba lepszego opisu procesów zachodzących w różnych materiałach oraz zbudowania lepszych modeli ich zachowania pod wpływem działania sił zewnętrznych. Wraz z rozwojem techniki zdobywamy głębszą wiedzę na temat różnych tworzyw. Pozwala nam to na tworzenie coraz bardziej poprawnych modeli opisujących zachow...

Present paper is devoted to stress and deformation analyses of heated variable thickness functionally graded (FG) circular plate with clamped supported, embedded on a gradient elastic foundation and subjected to non-uniform transverse load. The plate is coupled by an elastic medium which is simulated as a Winkler- Pasternak foundation with gradient coefficients in the radial and circumferential...

2006
Anvarbek Meirmanov,

A linear system of differential equations describing a joint motion of thermoelastic porous body and incompressible thermofluid occupying porous space is considered. Although the problem is linear, it is very hard to tackle due to the fact that its main differential equations involve non-smooth oscillatory coefficients, both big and small, under the differentiation operators. The rigorous justi...

2013
Essam Bassiouny, Refaat Sabry,

A new mathematical model of time fractional order heat equation and fractional order boundary condition have been constructed in the context of the generalized theory of thermo piezoelasticity. The governing equations have been applied to a semi infinite piezoelectric slab. The Laplace transform technique is used to remove the time-dependent terms in the governing differential equations and the...

Journal: :Computer-Aided Design 2016
David Moxey, D. Ekelschot, Ü. Keskin, Spencer J. Sherwin, Joaquim Peiró,

With high-order methods becoming increasingly popular in both academia and industry, generating curvilinear meshes that align with the boundaries of complex geometries continues to present a significant challenge. Whereas traditional low-order methods use planar-faced elements, high-order methods introduce curvature into elements thatmay, if added naively, cause the element to self-intersect. O...

2000
IRENA LASIECKA, ROBERTO TRIGGIANI,

We consider a thermo-elastic plate system where the elastic equation does not account for rotational forces. We select the case of hinged mechanical B.C. and Neumann thermal B.C., which are coupled on the boundary. We show that the corresponding s.c. contraction semigroup (on a natural energy space) is analytic and, hence, uniformly stable. Because of the boundary (high) coupling, this case of ...

2010
Alexander Mielke,

We show that the coupled balance equations for a large class of dissipative materials can be cast in the form of GENERIC (General Equations for Non-Equilibrium Reversible Irreversible Coupling). In dissipative solids, also called generalized standard materials, the state of a material point is decribed by dissipative internal variables in addition to the elastic deformation and the temperature....

2008
JENS WIRTH,

contains the elasticity modules of the medium. Usually one makes the assumption that S is positive definite such that A(D) is a positive and self-adjoint operator. Then the first equation is hyperbolic, while the second one is parabolic. In [2] the thermo-elastic system is considered and dispersive estimates are proven under the assumptions that (A1-2) A(ξ) is positive (self-adjoint, 2-homogene...

1998
R. E. Showalter,

Cauchy Problem, II. Here we consider the case in which the second operator is symmetric. Assume B : D V is a linear monotone operator with domain D V , where V is a Hilbert space, and that A : V V is a continuous linear symmetric monotone operator. Denote Ž .1 2 the space V with the seminorm A , by V . Then the injection a V V is continuous, and we have V V . V is a Hilbert space, for a a a whi...