Work number - M 69
Lviv Polytechnic National University
The series of works consists of 13 articles, 2 certificates of copyrights and 18 conference proceedings and materials, published within 5 years.
The aim of the series of scientific works is to formulate mathematical models for determination of stationary temperature distribution and caused by it stress strain state distribution of thermosensitive cylinders layered by axial and radial coordinates as well as to develop the method of determination and investigation of nonstationary temperature fields and caused by them quasistatic stresses and displacements of flat layered (three-layered) bodies, including thin layers, with and without complex heat exchange.
The scientific innovation of the research consists of summarization of mathematical models of thermal conductivity and thermal stresses of layered by axial and radial coordinates cylinders under different classical heat exchange with an environment, which, unlike the known results, take into consideration dependences on the temperature of all thermal and mechanical characteristics of materials as well as heat generation inside layers and on edges of their contact; development and approbation of a method to solve thermoelastic problems of multilayered cylindrical bodies while using the Kirchhoff transformation and direct integration, which was practically used for bodies made of temperature-sensitive materials under different heat exchange with an environment; first time the method was created to solve quasistatic thermoelastic problems of three-layered thermosensitive bodies, which involves the use of the Green function of linear non-stationary heat conductivity problem for a three-layer space in the form of functional series; obtaining of a newintegral representation to solve appropriate problems; finding solutions of quasistatic problems of thermoelasticity of a three-layer bodies with and without dependence on temperature under various thermal action.
The obtained results may be used for analysis and forecasting of thermostressed state of multilayered thermosensitive elements of constructions, which are used in many industries. The found analytical solutions of nonlinear heat conduction problems may be used as test cases for developing purely numerical methods for solving the above problems.