ABOUT A CERTAIN PROBLEM OF THE NONLINEARLY CREEPING CONICAL SHELL OF REVOLUTION,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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In this article on the basis of the momentless theory of shells, there is discussed the creep of a conical shell of revolution under the action of a normal surface load slightly changing in time, when one end of the shell is fastened and the other is extended compressed along the generatrices. For the theory of creep use the theory nonlinear consecutively. The solution of the problem is reduced to the determination of one function of integration, in connection with which, a nonlinear integral equation is obtained. In the case where the circular stresses in magnitude exceed the elastic-instantaneous longitudinal stresses, the latter are assumed to be compressive in passing over in the equations of creep from the intensity of tangential stresses to the magnitude near to it, for the maximum tangential stress the precise solution is given in the closed form.