External Crack Due to Thermal Effects in an Infinite Elastic Solid with a Cylindrical Inclusion
This paper deals with the state of stress in an infinite elastic solid with an external crack which is subjected to a prescribed temperature distribution. The infinite elastic medium consists of two materials which are separated by a cylindrical surface. It is assumed that there is perfect bonding at the common cylindrical surface. By assuming a suitable representation for the temperature function, the heat conduction problem is reduced to the solution of a Fredholm integral equation of the second kind. Then, using suitable biharmonic functions as thermoelastic potentials, the thermoelastic problem is also reduced to the solution of a Fredholm integral equation of the second kind. Both the integral equations are solved numerically. The numerical values of the stress intensity factor are displayed graphically.
KeywordsStress Intensity Factor Thermal Effect Crack Problem Fredholm Integral Equation Cylindrical Cavity
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