Equal-stressed reinforcement of metal-composite plates by the principal stress directions at steady-state creep

Abstract

We formulate the problem of equal-stressed reinforcement of metal-composite plates by the principal stress directions and strain rates. The plates are loaded in the plane and running in steady-state creep. The qualitative analysis of the resolving equations system is made. The half-inverse method for solving the posed problem with the static boundary values is developed. The rational projects of reinforcement for infinite compressible plate with circular hole and for the circular plates loaded on the bounds by radial and circumferential loads are obtained. The results of calculations for such constructions are analyzed. It is shown that the considered inverse problem for the given geometry of plate and loads has the set of solutions which allows the target optimization.