The quasistatics thermal stress analysis in coated half-space with mixed boundary heating conditions
Journal Title: Вісник Тернопільського національного технічного університету - Year 2015, Vol 77, Issue 1
Abstract
Analysis of thermal stresses in bodies with coatings is important for many engineering researches. Taking into account the actual operating conditions of these structures frequently leads to mixed heating condition. The steady problem of thermoelasticity with mixed boundary conditions currently is sufficiently investigated. However, the corresponding transient problem, despite its relevance, is poorly understood. This is due to mathematical difficulties that arise in applying the integral Laplace transform. The authors of this paper developed a new effective method of constructing solutions of mixed boundary-value non-stationary problems. The half-space with a coating, on the surface of which on the band of 2d width the temperature distribution is given and outside of this area the heat transfer according to the Newton's law is performed, is analysed in the work. On the surface of separation of materials of half-space and coating the conditions of ideal thermomechanical contact are satisfied. The initial temperature of the coating and half-space is equal to zero. To the heat conductivity problem the Laguerre integral transformation in time variables and integral Fourier transformation in spatial variable are applied. As a result the triangular sequence of ordinary differential equations is obtained. The general solution of these sequences is obtained in the form of algebraic convolution. Taking into account the mixed boundary conditions results in dual integral equations. For solution of this problem the method of Newton's series is proposed. Taking advantage of this method the problem is reduced to the infinite system of algebraic equations, for which the convergence of reduction procedure is proved. The solution of thermoelasticity problem is built using resulting temperature field in the assumption, that the border of coating is free of load. The solution is obtained in the form of series in Laguerre polynomials. Calculations were carried for the half-space made of titanium alloy and ceramic coating.
Authors and Affiliations
Heorhiy Sulym, Yuriy Kolodiy, Ihor Turchyn
Keywords
Related Articles
- EP ID EP571911
- DOI -
- Views 72
- Downloads 0
Undestroying control and diagnostics of rolling bearings
Rolling bearings are the most widespread and the most vulnerable element of any mechanism. They carry out the spatial fixing of the revolved details and are subject to main static and dynamic efforts arising in a mechani...
Investigation of transportation bulk cargo sloping screw conveyor
Screw conveyers, which are characterized by the simple design, high reliability, easy handling and adaptation in the automated systems being ecologically-friendly, have been widely used for the technological operations o...
Procedure for connecting digital photo equipment to the testing machine control system
Digital photography as a registration procedure is widely applied for conducting experiments, including the investigation of the fracture toughness characteristics of metallic materials. During photographing of the movin...
Mathematical modeling of processes of nonisothermal adsorption, desorption and heat transfer of hydrocarbons in nanoporous catalysts based on zeolite ZSM-5 of exhaust gas neutralization systems
An experimental and theoretical study of the non-isothermal adsorption and desorption of gas using microporous silica beds for motor fuel technology is described. Analytical solutions to the problem of non-isothermal ads...
Design source errors analysis in the angle measure devices to the precision
The results of calculating the total error testing support rotation angle satellite antenna system. The analysis suggested calculating the optimum design rotation device, in which the total working angle of rotation erro...