Designing of flat thermoelastic composite constructions with equally-stressed armature by action of two independent loading systems. | Mekhanika | kompozitsionnykh | materialov i konstruktsii
> Volume 5 > №2 / 1999 / Pages: 61-88

Designing of flat thermoelastic composite constructions with equally-stressed armature by action of two independent loading systems.

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Abstract:

We formulate thermoelastic problem of rational design of plain composite structures with uniformly stressed reinforcement. The structures are subjected to successive loading by two independent systems of stationary loads. We present a qualitative analysis of corresponding system of constitutive equations and boundary conditions. We develop a method of iterative solution of such problems. This method belongs to the class of methods of perturbation theory and it allows us to `split’ the coupled subproblems of determination of parameters of rational reinforcement, the temperature fields, and stress-strain state of the structure. We discuss particular analytic and numerical solutions. Based on these examples, we relationships between variation of structure of reinforcement and stress-strain state, on the one hand, and the level of heat effect, mass loading, and materials, on the other hand. We reveal a possibility of existence of two solutions of such problems caused by substantial nonlinearity of static boundary conditions.

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