Abstract

The classical theory of thermoelasticity for infinitesimal displacements was used to study the stresses and displacements caused by heat generation in infinite single or multiple flat plates. The initial conditions required the particle velocity to be zero at time zero, and stress-free or no-displacement boundary conditions were used. The study ignores heat conduction and the coupling between the temperature and strain fields and assumes the material of the plates to be homogeneous and isotropic. The given temperature function is dependent upon the distance coordinate across the thickness of the plate and the time, but is independent of the spatial coordinates perpendicular to the plane of the plate. These assumptions make the problems one-dimensional. The method of characteristics is used to solve the simpler problems for which analytical solutions exist, and the method of finite differences is used with variable grid spacings when Young's modulus is temperature-dependent. One comparison is given between the analytical and numerical solutions.

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