INFLUENCE OF ANISOTROPY, THERMAL SENSITIVITY AND HIGH-TEMPERATURE HEAT EXCHANGE ON THE THERMONALIZED STATE OF A QUILL CYLINDER
Journal Title: Вісник Кременчуцького національного університету імені Михайла Остроградського - Year 2017, Vol 1, Issue 107
Abstract
Purpose. To develop and approbate new approach to the decision of tasks of quasistatic thermoelasticity of anisotropic bodies, taking into account thermosensitivity of material and high-temperature heat exchange with the environment. Use of the constructional materials which are successfully functioning in the conditions of high-temperature heat exchange along with the isotropic, broad application is found by anisotropic materials which problem of authentic determination of thermotension is of great importance in the general complex of engineering calculations. Methodology. After the decision of the task of heat conduction, this approach to superposition of the appropriate task of quasistatic thermoelasticity has been applied. For this purpose we decompose the physicomechanical characteristics depending on temperature and unit in a row Fourier-Bessel of the 1st type on an interval of change of temperature and we enter them into each equation of system. Adding not depending on a component of tension, deformations, relocation, volume and surface forces under signs of the amounts, entering designations, and then, applying the generalized superposition principle to system, we will receive set of boundary value problems of the linear thermoelasticity with the constant provided thermoelastic characteristics. Defining components of system solutions, and then, adding them on, we will receive the approximate analytical solution of an objective. Results. The offered approach has been applied to the decision of the task of thermoelasticity to the free from external loading of the infinite continuous isotropic thermosensitive cylinder which is in conditions of radiative convective heat exchange. On a large number of numerical calculations influence of nonlinearity of the 1st kind and double nonlinearity on distributions of temperature, tension and relocation for cases of change of convection in case of continuous temperature of the environment and change of temperature of the environment is shown, up to high-speed heating, in case of continuous convection. Originality. The offered approach allows to receive analytical solutions of complex challenges of thermoelasticity and to analyze the researched processes in a broad range of physicomechanical characteristics of material and conditions of heat exchange. Practical value. The developed approach to the decision of tasks of quasistatic thermoelasticity allows considering most fully and adequately anisotropy, thermosensitivity of material and high-temperature heat exchange with the environment in case of determination of temperature, tension and relocation of elements of the constructions working in a wide range of temperatures. Besides, this method allows tousing it as obtaining test decisions when calculating difficult elements of constructions.
Authors and Affiliations
Y. Zaytsev
Keywords
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