THERMAL STRESSES IN A SEMI-INFINITE SOLID BY A FINITE DIFFERENCE TECHNIQUE.
NAVAL APPLIED SCIENCE LAB BROOKLYN N Y
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A system of equations is developed to provide a means of computing the stresses in a semi-infinite solid, having arbitrry properties, arising from the thermal pulse, and subsequent pressure pulse, of a nuclear weapon. Two alternate systems of finite difference equations, and the appropriate stability criteria, are developed for the computation of the one and two dimensional stress distribution in a semi-infinite body, when subjected to a temperature field within the solid, and a pressure loading on the exterior surface. These equations are developed from the exact equations of the theory of elasticity, and in order to enhance their generality and usefulness, have been written to allow for the possibility of spatially and thermally varying elastic properties. Author