... temperature on the surface is simulated by a bimaterial infinite domain, which is perfectly conductive above the ground. The heat conduction in the ground is investigated for two scenarios: First, a steady-state uniform heat flux from surface into the ground is considered, and the heat flux is disturbed...

... of motion and heat conduction for the considered thermoelastic sphere are uncoupled and simplified by using Helmholtz decomposition theorem. By using a spherical wave solution, a system of governing partial differential equations is further reduced to a coupled system of three ordinary differential...

... and Taya ( 26 ) extended Eshelby’s method to heat conduction problems. Yin et al. ( 8 ) investigated the heat flux field for a single particle embedded in an FGM matrix. Using Eshelby’s equivalent inclusion method, a linearly distributed prescribed heat flux field is introduced in the particle...

...L. M. Brock Moving surface loads cause crack extension at a constant subcritical speed between perfectly bonded materials. The materials differ only in thermal properties and are governed by coupled thermoelastic equations that admit as special cases Fourier heat conduction and thermal relaxation...

...L. M. Brock Two perfectly bonded, thermoelastic half-spaces differ only in their thermal parameters. Their governing equations include as special cases the Fourier heat conduction model and models with either one or two thermal relaxation times. An exact solution in transform space for the problem...

...). This shortcoming has motivated the development of more robust models for describing hot-spot formation in energetic solids ( 4 5 6 ). organic compounds shock waves granular materials explosions heat conduction compaction porosity combustion 26 11 2003 08 02 2005 2005 American...

...F. S. Ibrahem; I. A. Hassanien; A. A. Bakr The MCF model is used to study the nonclassical heat conduction effects in Stokes’ second problem of a micropolar fluid. The effects of the thermal relaxation time and the structure wave on angular velocity, velocity field, and temperature are investigated...

... into contact, they touch only a small fraction of the nominal area. The remaining gap is filled with an interstitial fluid such as air with relatively low thermal conductivity, which tends to reduce the rate of heat conduction between the bodies. Because of this thermal resistance, the magnitude...

... OF APPLIED MECHANICS . 14 Dec 2000 30 Oct 2001 25 08 2003 functionally graded materials heat conduction thermal conductivity boundary integral equations Green's function methods Galerkin method rotors Laplace equations Functionally graded materials (FGMs...

... and complex Fourier series are used to solve the heat conduction and Navier equations. 23 Oct 2000 08 May 2002 23 01 2003 functionally graded materials thermal stresses temperature distribution Poisson ratio Fourier series heat conduction thermoelasticity Functionally...

..., ( 6 ) is met provided that h / d ⩽ α which is just the relation ( 1 ) where t 2 = h / d , t 1 = α . The classical Fourier law of heat conduction leads to instantaneous propagation of heat to infinitely remote areas of space. This paradox...

... in this chapter with more examples, if only to allow the students time to catch their collective breath during the ascent. Chapter 3 introduces the heat conduction equation and thermal boundary conditions. Problems in one dimension are solved first by separated variable...

... publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 28 July 1998 29 Jan 1999 Fourier series boundary-value problems thermal stresses temperature distribution heat conduction thermoelasticity The boundary value problems for an annular region have...