SPECTRAL METHODS FOR NONLINEAR, COUPLED, THERMOELASTIC RAPIDLY HEATED ROD
Titel:
SPECTRAL METHODS FOR NONLINEAR, COUPLED, THERMOELASTIC RAPIDLY HEATED ROD
Auteur:
Jękot, Tomasz
Verschenen in:
Journal of thermal stresses
Paginering:
Jaargang 13 (1990) nr. 1 pagina's 99-127
Jaar:
1990
Inhoud:
The paper presents a numerical analysis of a nonlinear, coupled, thermoelastic rapidly heated rod. The geometric relations, mechanical equilibrium equations, and Fourier law are linear, whereas the energy equation and the constitutive relations accounting for the third-order elastic moduli and the temperature dependent second-order elastic moduli and a coefficient of thermal expansion are nonlinear. Coupling between thermal and displacement fields is considered. Computations are based on spectral methods generalized to include nonlinear cases. An iterative variational case of the Tau method is introduced in which a discretization of the space and time variables of a function is treated in the same way. The iterative weak solutions are defined. Domain of a function is divided along a wave front to account for a boundary condition for temperature given by the Heaviside function and to include a jump of stresses on the wave front. Moduli ofD54S aluminum alloy are used in the computations. The results indicate that, in a linear case at 473 K, the displacements are greater by approximately 31% and the stresses are greater by 49% than corresponding quantities in the nonlinear case.
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