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Influence of Residual Stresses and Thermal Gradients on Mechanism of Buckling of Shallow Spherical Shells
註釋This report contains results of a theoretical and experimental investigation of the influence of residual stresses and thermal gradients on stability of shallow spherical shells. Basic equations, thermoelastic problems for spherical shells, taking a large deformation into consideration, are derived. Assuming 'damped' axisymmetrical deformation pattern, solution for the stability of spherical shell subjected to external pressure is presented. Good agreement between the theoretical and previous experimental results is obtained. The effects of residual stresses and thermal gradients on stability of spherical shells subjected to external pressure are determined. These effects are of considerable significance, and should be taken into account in application. Experiments indicating the effects of residual stresses have been performed for 'inverted' shells subjected to symmetrical and eccentric concentrated loads.