TY - JOUR N2 - 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. L1 - http://www.czasopisma.pan.pl/Content/116756/PDF/07_paper.pdf L2 - http://www.czasopisma.pan.pl/Content/116756 PY - 2020 IS - No 2 EP - 168 DO - 10.24425/ather.2020.133626 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 of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences VL - vol. 41 DA - 2020.06.25 T1 - Generalized thermal microstretch elastic solid with harmonic wave for mode-I crack problem SP - 147 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/116756 T2 - Archives of Thermodynamics ER -