TY - JOUR AU - Al-Lehaibi, Eman A. N. PY - 2019 TI - Mathematical model of generalized thermoelastic infinite medium with a spherical cavity and fractional order strain JO - Journal of Nonlinear Sciences and Applications SP - 30--37 VL - 12 IS - 1 AB - In this paper, a new mathematical model of a thermoelastic isotropic unbounded medium contains a spherical cavity thermally shocked under generalized thermo-elasticity with the fractional order strain model. The governing system of the partial differential equations has been derived in Laplace transform domain, and the inversion was done numerically by using the sum of Riemann approximation techniques. The numerical outputs of the displacement, the temperature, the stress, and the strain have been obtained and presented graphically. The fractional order parameter has an essential consequence on the stress, the strain, and the displacement distributions while its effect on the temperature increment distribution is very limited. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.01.03 DO - 10.22436/jnsa.012.01.03 ID - Al-Lehaibi2019 ER - TY - JOUR TI - Dynamic response of a rod due to a moving heat source under the hyperbolic heat conduction model AU - N. S. Al-Huniti AU - M. Al-Nimr AU - M. Naji JO - J. Sound Vib. PY - 2001 DA - 2001// VL - 242 ID - Al-Huniti2001 ER - TY - JOUR TI - Thermoelasticity and irreversible thermodynamics AU - M. A. Biot JO - J. Appl. Phys. PY - 1956 DA - 1956// VL - 27 ID - Biot1956 ER - TY - JOUR TI - Longitudinal wave propagation in a generalized thermoelastic cylinder AU - S. Erbay AU - E. S. Suhubi JO - J. Therm. Stresses PY - 1986 DA - 1986// VL - 9 ID - Erbay1986 ER - TY - JOUR TI - Generalized thermoelasticity for an infinite body with a circular cylindrical hole AU - T. Furukawa AU - N. Noda AU - F. Ashida JO - JSME Int. J. I-Solid M. PY - 1990 DA - 1990// VL - 33 ID - Furukawa1990 ER - TY - JOUR TI - On the entropy production inequality AU - A. E. Green AU - N. Laws JO - Arch. Rational Mech. Anal. PY - 1972 DA - 1972// VL - 45 ID - Green1972 ER - TY - JOUR TI - Thermoelasticity AU - A. E. Green AU - K. A. Lindsay JO - J. Elasticity PY - 1972 DA - 1972// VL - 2 ID - Green1972 ER - TY - JOUR TI - A generalized dynamical theory of thermoelasticity AU - H. W. Lord AU - Y. Shulman JO - J. Mech. Phys. Solids PY - 1967 DA - 1967// VL - 15 ID - Lord1967 ER - TY - JOUR TI - Fractional-order elastic models of cartilage: A multi-scale approach AU - R. L. Magin AU - T. J. Royston JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2010 DA - 2010// VL - 15 ID - Magin2010 ER - TY - JOUR TI - Thermoviscoelastic waves in an infinite aeolotropic body with a cylindrical cavity–a study under the review of generalised theory of thermoelasticity AU - J. C. Misra AU - N. C. Chattopadhyay AU - S. C. Samanta JO - Computers & structures PY - 1994 DA - 1994// VL - 52 ID - Misra1994 ER - TY - JOUR TI - Magnetothermoelastic interaction in an infinite elastic continuum with a cylindrical hole subjected to ramp-type heating AU - J. C. Misra AU - S. C. Samanta AU - A. K. Chakrabarti AU - S. C. Misra JO - Int. J. Eng. Sci. PY - 1991 DA - 1991// VL - 29 ID - Misra1991 ER - TY - JOUR TI - The Coldness, a Universal Function in Thermo-Elastic Solids AU - I. Mller JO - Arch. Rat. Mech. Anal. PY - 1971 DA - 1971// VL - 41 ID - Mller 1971 ER - TY - BOOK TI - The Laplace transform: theory and applications AU - J. L. Schiff PB - Springer Science & Business Media PY - 2013 DA - 2013// CY - New York ID - Schiff 2013 ER - TY - JOUR TI - Two-dimensional generalized thermoelasticity problem for an infinitely long cylinder AU - H. H. Sherief AU - M. N. Anwar JO - J. Thermal Stresses PY - 1994 DA - 1994// VL - 17 ID - Sherief1994 ER - TY - JOUR TI - Thermoelastic solids: Continuum Mechanics of Single-Substance Bodies AU - E. S. Suhubi JO - Elsevier PY - 1975 DA - 1975// VL - 1975 ID - Suhubi 1975 ER - TY - BOOK TI - Macro-to microscale heat transfer: the lagging behavior AU - D. Y. Tzou PB - John Wiley & Sons PY - 2014 DA - 2014// CY - U.S.A. ID - Tzou2014 ER - TY - JOUR TI - Dependence of modulus of elasticity and thermal conductivity on reference temperature in generalized thermoelasticity for an infinite material with a spherical cavity AU - H. M. Youssef JO - Appl. Math. Mech. PY - 2005 DA - 2005// VL - 26 ID - Youssef 2005 ER - TY - JOUR TI - State-space approach on generalized thermoelasticity for an infinite material with a spherical cavity and variable thermal conductivity subjected to ramp-type heating AU - H. M. Youssef JO - Can. Appl. Math. Q. PY - 2005 DA - 2005// VL - 13 ID - Youssef 2005 ER - TY - JOUR TI - Theory of generalized thermoelasticity with fractional order strain AU - H. M. Youssef JO - J. Vib. Control PY - 2016 DA - 2016// VL - 22 ID - Youssef 2016 ER -