The quasistatics thermal stress analysis in coated half-space with mixed boundary heating conditions

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

Methodology for geodynamic risk determination in the areas with broaching engineering structures

Investigation of geodynamic processes influence on the safe operation of buried pipeline systems has been carried out. Possibility to obtain the information about the geodynamic zone, that is crossed by an broaching eng...

Evaluation of the structures metal damage under the static and cyclic loadings according to the coersive force value

The results of experimental investigations of the damage degree of the ferromagnetic steel 05kp and austenitic (paramagnetic in the initial state) steel АISI 304 under the static and cyclic loading according to the coerc...

An exact series solution for free vibration of cylindrical shell with arbitrary boundary conditions

Simple accurate formulas for the natural frequencies of circular cylindrical shells are presented for modes in which transverse deflection dominates. Based on the Donnell-Mushtari thin shell theory the equations of motio...

Estimation of negative side effects caused by the corrosion preventive compounds

The paper presents requirements to procedure of examination of negative side effects caused by the corrosion preventive compounds or any surfactants used in aviation. It is shown that the negative influence on the fatigu...

Development of two-dimensional theory of thick plates bending on the basis of general solution of Lamé equations

A theory of bending of the thick plate normally loaded on lateral surfaces, when its stress state is not described by the hypothesis of Kirchhoff–Love or Tymoshenko, is suggested. Its three-dimensional stress-strain stat...

Download PDF file
  • EP ID EP571911
  • DOI -
  • Views 66
  • Downloads 0

How To Cite

Heorhiy Sulym, Yuriy Kolodiy, Ihor Turchyn (2015). The quasistatics thermal stress analysis in coated half-space with mixed boundary heating conditions. Вісник Тернопільського національного технічного університету, 77(1), 71-79. https://europub.co.uk/articles/-A-571911