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://journals.pan.pl/Content/116756/PDF/07_paper.pdf
L2 - http://journals.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://journals.pan.pl/dlibra/publication/edition/116756
T2 - Archives of Thermodynamics
ER -