ON THE METHOD OF GREEN'S FUNCTION IN THE THERMOELASTIC THEORY OF SHALLOW SHELLS
Technical rept. no. 16
CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH
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The method of Greens function is applied to the quasi-static thermoelastic theory of shallow shells with heat conduction equations included. Solution formulas are derived for middle-surface displacements and stress and temperature resultants in terms of initial and edge temperatures, internal heat sources, ambient temperatures at the upper and lower surfaces, and surface tractions. Equations are given for the Greens functions appearing in the solution formulas. Extension to more general shell theory is discussed. By way of example, the method is applied to thermoelastic problems for two classes of shallow shells. Also, the effect of transverse shear deformation is examined with reference to a shallow spherical shell.