Design of plane thermoelastic composite constructions with uniformly stressed reinforcement

The problem of uniformly stressed reinforcement of plane composite constructions under thermoforce loading is formulated. An asymptotic analysis of the corresponding boundary–value problem is performed. Based on this analysis, it is shown that the problem may have two solutions due to the significant nonlinearity of static boundary conditions. An iterative method for solving the problem is proposed. Particular analytical and numerical solutions are analyzed, and the level of influence of the thermal action on uniformly stressed reinforced constructions is studied.