Filimonova T. The use of iterative theory for research the local thermoelastic bend of orthotropic plates

The thesis is devoted to the use of the iterative theory for research the local thermoelastic bend of orthotropic plates. The system of the equations of thermoelastic bend of orthotropic plates that taking into account symmetric heat exchange with an environment under the law of Newton and a hypothesis of the iterative theory is received. The fundamental solution of the equations of thermoelastic bend of orthotropic plates on the base of the iterative theory is constructed, and the components of fundamental matrix of the temperature moments are found. With the help of the received solution the laws for thermoelastic state of orthotropic plates, that described by the iterative theory, in a vicinity of a location point of concentrated “bend” source of heat are revealed. Zones, in which the amendments brought by the iterative theory in comparison with the decision under the classical theory are essential, are determined. With use of the formula of convolution and the received fundamental solutions, the thermoelastic state of orthotropic plates at the local temperature influences resulting in a bend are investigated. The distribution effects of the temperature moments caused by the iterative theory of thermoelastic bend are revealed.