A general model of the equations of generalized thermo-microstretch for an infinite space weakened by a finite linear opening mode-I crack is solved. Considered material is the homogeneous isotropic elastic half space. The crack is subjected to a prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, using mathematical analysis with the purview of the Lord-Şhulman (involving one relaxation time) and Green-Lindsay (includes two relaxation times) theories with respect to the classical dynamical coupled theory (CD). The harmonic wave method has been used to obtain the exact expression for normal displacement, normal stress force, coupled stresses, microstress and temperature distribution. Variations of the considered fields with the horizontal distance are explained graphically. A comparison is also made between the three theories and for different depths for the case of copper crystal.

JO - Archives of Thermodynamics L1 - http://so.czasopisma.pan.pl/Content/116756/PDF/07_paper.pdf L2 - http://so.czasopisma.pan.pl/Content/116756 PY - 2020 IS - No 2 EP - 168 KW - Mode-I Crack KW - L-S theory KW - GL theory KW - Thermoelasticity KW - Microrotation KW - Microstretch A1 - Lotfy, Khaled A1 - El-Bary, Alaa Abd A1 - Allan, Mohamed A1 - Ahmed, Marwa H. PB - The Committee on Thermodynamics and Combustion of the Polish Academy of Sciences VL - vol. 41 JF - Archives of Thermodynamics SP - 147 T1 - Generalized thermal microstretch elastic solid with harmonic wave for mode-I crack problem DA - 2020.06.25 UR - http://so.czasopisma.pan.pl/dlibra/docmetadata?id=116756 DOI - 10.24425/ather.2020.133626 ER -