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Wang Yingze, Wang Qian, Liu Dong, Song Xinnan. ASYMPTOTIC ANALYSIS OF SOLID SPHERE SUBJECTED TO THERMAL SHOCK UNDER FRACTIONAL ORDER GENERALIZED THERMOELASTICITY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 248-254. DOI: 10.6052/0459-1879-13-287
Citation: Wang Yingze, Wang Qian, Liu Dong, Song Xinnan. ASYMPTOTIC ANALYSIS OF SOLID SPHERE SUBJECTED TO THERMAL SHOCK UNDER FRACTIONAL ORDER GENERALIZED THERMOELASTICITY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 248-254. DOI: 10.6052/0459-1879-13-287

ASYMPTOTIC ANALYSIS OF SOLID SPHERE SUBJECTED TO THERMAL SHOCK UNDER FRACTIONAL ORDER GENERALIZED THERMOELASTICITY

Funds: The project was supported by the National Natural Science Foundation of China (11102073, 51206062), the China Postdoctoral Science Foundation (2012M511207), the Specialized Research Fund for the Doctoral Program of Higher Education of China (20113227120012), the Research Foundation of Advanced Talents of Jiangsu University (10JDG055), and the Priority Academic Program Development of Jiangsu Higher Education Institutions.
  • Received Date: September 25, 2013
  • Revised Date: October 29, 2013
  • Based on fractional order generalized thermoelasticity, one dimensional problem of a solid sphere subjected a thermal shock is studied. The transient characteristics of thermal shock is considered to derive the approximate solutions of displacement, temperature and stresses by means of the Laplace transform technique and the asymptotic properties of Bessel functions. Numerical simulation has been conducted for an isotropic solid sphere with the boundary subjected to a thermal shock. The propagation of thermal wave and thermal elastic wave, and the distribution of each physical field in the different values of the fractional order parameter are obtained. The results show that the fractional parameter has a significant effect on propagation of two waves and distribution of each physical field, which can be regarded as an influence factor of the thermal relaxation time, and can change the effect of thermal shock by constraining the influence of the delay effects on thermal behaviors.
  • 过增元. 国际传热研究前沿——微细尺度传热. 力学进展, 2000, 30(1): 1-6 (Guo Zengyuan. Frontier of heat transfer—Microscale heat transfer. Advances in Mechanics, 30(1): 1-6 (in Chinese))
    Herwig H, Beckert K. Experimental evidence about the controversy concerning Fourier and non-Fourier heat conduction in materials with a nonhomogeneous inner structure. Heat Mass Transfer, 2000, 36(5): 387-392
    王海东, 刘锦辉, 过增元等. 金属纳米薄膜中稳态非傅里叶导热的实验. 科学通报, 2012, 57(19): 1794-1799 (Wang Haidong, Liu Jinhui, Guo Zengyuan, et al. Non-Fourier heat conduction study for steady states in metallic nanofilms. Chinese Science Bulletin, 2012, 57(19): 1794-1799 (in Chinese))
    Lord HW, Shulman Y. A generalized dynamical theory of thermoelasticity. Journal of the Mechanics and Physics of Solids, 1967, 15(5): 299-309
    Green AE, Lindsay KA. Thermoelasticity. Journal of Elasticity, 1972, 2(1): 1-7
    Green AE, Naghdi PM. Thermoelasticity without energy dissipation. Journal of Elasticity, 1993, 31(3): 189-208
    Youssef HM. Theory of two-temperature thermoelasticity without energy dissipation. Journal of Thermal Stresses, 2011, 34(2): 138-146
    王颖泽, 宋新南. 基于热质理论的广义热弹性动力学模型. 物理学报, 2012, 61(23): 234601-5 (Wang Yingze, Song Xinnan. Dynamic model of generalized thermoelasticity based on thermal mass theory. Acta Physica Sinica, 2012, 61(23): 234601-5 (in Chinese))
    Possikhin YA, Shitikova MV. Application of fractional calculus to dynamic problems of linear and non linear hereditary mechanics of solids. Applied Mechanics Reviews, 1997, 50(1): 15-67
    Youssef HM. Theory of fractional order generalized thermoelasticity. ASME Journal of Heat Transfer, 2010, 132(6): 061301-7
    Sherief HH, El-Sayed AMA, Abd El-Latief AM. Fractional order theory of thermoelasticity. International Journal of Solids and Structures, 2010, 47(2): 269-275
    Youssef HM, Al-Lehaibi EA. Fractional order generalized thermoelastic half-space subjected to ramp-type heating. Mechanics Research Communications, 2010, 37(5): 448-452
    Kothari S, Mukhopadhyay S. A problem on elastic half space under fractional order theory of thermoelasticity. Journal of Thermal Stresses, 2011, 34(7): 724-739
    Sarkar N, Lahiri A. Effect of fractional parameter on plane waves in a rotating elastic medium under fractional order generalized thermoelasticity. International Journal of Applied Mechanics, 2012, 4(3): 1250030-20
    Sherief HH, Abd El-Latief AM. Effect of variable thermal conductivity on a half-space under the fractional order theory of thermoelasticity. International Journal of Mechanical Sciences, 2013, 74: 185-189
    El-Karamany A S, Ezzat, M A. Thermal shock problem in generalized thermo-viscoelasticity under four theories. International Journal of Engineering Science, 2004, 42(7): 649-671
    王颖泽, 张小兵, 宋新南. 圆柱外表面受热冲击问题的广义热弹性分析. 力学学报, 2012, 44(2): 317-325 (Wang Yingze, Zhang Xiaobing, Song Xinnan. Research on generalized thermoelastic problems of a solid cylinder subjected to thermal shock. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 317-325 (in Chinese))
    王颖泽, 张小兵, 刘栋. 轴对称平面应变问题的广义热弹性解. 中国科学:物理学·力学·天文学, 2013, 43(8): 956-964 (Wang Yingze, Zhang Xiaobing, Liu Dong. Generalized thermoelastic solutions for the axisymmetric plane strain problem. Scientia Sinica Physica, Mechanica {& Astronomica, 2013, 43(8): 956-964 (in Chinese))

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