Displaying similar documents to “Fieldless methods for the simulation of stationary and nonstationary induction heating”

On a 1-D model of stress relaxation in an annealed glass

Vladimír Janovský, David Just (2002)

Applications of Mathematics

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A 1-D model of a slab of glass of a small thickness is considered. The governing equations are those of the classical 1-D linear viscoelasticity. A load due to the temperature gradients is assumed. The aim is to model the process called annealing. It is shown that an additional load due to structural strain is crucial for the success of the model. Algorithms of a numerical solution of the governing equations are proposed. Numerical results are presented and commented.

Hyperbolic heat conduction in two semi-infinite bodies in contact

J. A. López Molina, Macarena Trujillo Guillén (2005)

Applications of Mathematics

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We find, under the viewpoint of the hyperbolic model of heat conduction, the exact analytical solution for the temperature distribution in all points of two semi-infinite homogeneous isotropic bodies that initially are at uniform temperatures T 0 1 and T 0 2 , respectively, suddenly placed together at time t = 0 and assuming that the contact between the bodies is perfect. We make graphics of the obtained temperature profiles of two bodies at different times and points. And finally, we compare the...