Determining the Strength of Structural Materials by Solving Inverse Problems of Thermoelasticity

The paper proposes a method for determining maximum thermoload from the temperature stress measured with a value by solving the inverse problem of thermoelasticity for canonical bodies. Determination of maximum thermoload is of significant practical importance when conducting non-destructive testing. It is important to regulate temperature and force loads, when thermostresses in structural elements will be achieved within permissible limits. For example, the tensile strength of the D16T material is exceeded at a heat flux of 6400 W/m2. This indicates the high heat resistance of the material D16T. To find values, the method of solving inverse problems of thermoelasticity was used. To obtain a stable and accurate solution to the inverse problem of thermoelasticity and thermoconductivity, the numerical finite element method and the Tikhonov method with the search for the regularization parameter are used. The Tikhonov method uses a stabilizing functional with a regularization parameter. The search of the regularizator is carried out using an algorithm for calculating the root of a nonlinear equation, which allows increasing the accuracy of results. The Tikhonov method has an error within 5%. The cost-effectiveness of the method lies in replacing complex and expensive experimental studies of objects with numerical experiments. The proposed methodology allows determining the loads at which it will be destroyed without bringing the object to destruction. Solving internal inverse problems of thermoelasticity is a complex and actual issue, especially in connection with the development of computers. This method applies to energy and aviation engineering facilities under high temperature and force loads.