THERMOELASTIC ANALYSIS OF LAMINATED ORTHOTROPIC SLABS

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Abstract
Stationary two-dimensional temperature, stress, and displacement distributions are investigated for a simply supported slab consisting of bonded orthotropic layers. The top and bottom faces of the slab are subject to arbitrary variations of temperature, heat flux, or convection, and arbitrary distributions of tractions. Displacement potentials are used to obtain the exact thermo-elasticity solution. For purposes of comparison, a strength-of-materials approximation for the temperature-induced stresses and middle-surface displacements is presented. As an illustrative example, the thermoelastic response to a sinusoidal distribution of temperature rise over the top face of the slab is computed; numerical results are given for laminates of various geometric configurations.

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