In this work, the generalized thermoelasticity theory with phase lags is used to solve a thermoelastic problem for an orthotropic infinite unbounded body containing a cylindrical cavity by approximate techniques. The thermal conductivity of the present body is assumed to vary linearly with the temperature. The surface of the cylinder is traction free and subjected to a uniform step temperature. The general solutions for the temperature, displacement, and thermal stresses are obtained by the method of Laplace transforms. The effects of dual phase lags and the variable thermal conductivity parameter on the studied fields for a cobalt material are discussed.
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King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Hobiny, Aatef D.
Abbas, Ibrahim A.
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King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Sohag Univ, Fac Sci, Dept Math, Sohag, EgyptKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
Abbas, Ibrahim A.
El-Bary, C. Alaa A.
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Arab Acad Sci Technol & Maritime Transport, Basic & Appl Sci Inst, POB 1029, Alexandria 21532, EgyptKing Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
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Jouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka 24241, Saudi ArabiaJouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka 24241, Saudi Arabia
Alhashash, Abeer
Raddadi, Merfat H.
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Taibah Univ, Fac Sci, Dept Math, Madinah 42353, Saudi ArabiaJouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka 24241, Saudi Arabia
Raddadi, Merfat H.
El-Bary, Alaa A.
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Arab Acad Sci Technol & Maritime Transport, Basic & Appl Sci Inst, POB 1029, Alexandria, Egypt
Natl Comm Math, Acad Sci Res & Technol, Cairo 4262104, EgyptJouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka 24241, Saudi Arabia
El-Bary, Alaa A.
Chteoui, Riadh
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Univ Monastir, Fac Sci, Dept Math, Lab Algebra Number Theory & Nonlinear Anal, Monastir 5019, Tunisia
Univ Tabuk, Fac Sci, Dept Math, Tabuk 47512, Saudi ArabiaJouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka 24241, Saudi Arabia
Chteoui, Riadh
Mhemdi, Abdelwaheb
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Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Aflaj, Al Kharj 16278, Saudi ArabiaJouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka 24241, Saudi Arabia
Mhemdi, Abdelwaheb
Lotfy, Khaled
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Zagazig Univ, Fac Sci, Dept Math, POB 44519, Zagazig, EgyptJouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka 24241, Saudi Arabia