Author/Authors :
Sourki, Reza Faculty of Engineering - University of Zanjan, Zanjan, Iran , Ayatollahi, Mojtaba Faculty of Engineering - University of Zanjan, Zanjan, Iran , Monfared, M. M Department of Mechanical Engineering - Hashtgerd Branch - Islamic Azad University, Alborz, Iran , Mousavi, Mahmoud Department of Engineering and Physics - Karlstad University, Karlstad, Sweden
Abstract :
An analytical solution is presented for the thermoelastic
problem of a half-plane with several cracks under
thermomechanical loading using distributed dislocation
technique. The uncoupled quasi-static linear
thermoelasticity theory is adopted in which the change in
temperature, if any, due to deformations is neglected. The
stress field in a half-plane containing thermoelastic
dislocation is obtained by means of the complex Fourier
transform. Then, the problem is reduced to the solution of a
set of simultaneous integral equations with Cauchy type
singularities for dislocation density functions. Numerical
results for the modes I and II stress intensity are presented
to illustrate the effects of crack geometry and loading
conditions on the stress intensity factors. Finally, the
different cases of crack configurations and arrangements
are examined.
Keywords :
Stress intensity factors , Multiple cracks , Thermoelastic dislocation , Elastic half-plane , Thermal stress
