Analysis of thermal stresses in FGM-Matrix medium induced by constant heat flux at the far field

References

• M. Koizumi, FGM activities in Japan, Composites Part B. Eng., vol. 28, no. 1–2, pp. 1–4, 1997. DOI: 10.1016/S1359-8368(96)00016-9.
   Web of Science ®Google Scholar
• M. Yuki, T. Murayama, T. Irisawa, A. Kawasaki, R. Watanabe, M. Yamanouchi, M. Koizumi, T. Hirai, and I. Shiota (eds.), FGM’90, Proceedings of the 1st International Symposium on Functionally Gradient Materials, FGM Forum Tokyo, Sendai, pp. 203–208, 1990.
   Google Scholar
• M. Leong and B. V. Sankar, Effect of thermal stresses on the failure criteria of fiber composites, Mech. Adv. Mater. Struct., vol. 17, no. 7, pp. 553–560, 2010. DOI: 10.1080/15376490903398706.
   Web of Science ®Google Scholar
• M. L. Dunn and M. 1. Taya, Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites, Int. J. Solids Struct., vol. 30, no. 2, pp. 161–175, 1993. DOI: 10.1016/0020-7683(93)90058-F.
   Web of Science ®Google Scholar
• W. Li and B. Han, Research and application of functionally gradient materials, IOP Conf. Ser. Mater. Sci. Eng., vol. 394, pp. 022065, 2018. DOI: 10.1088/1757-899X/394/2/022065.
   Google Scholar
• K. S. Ravichandran, Thermal residual stresses in a functionally graded material system, Mater. Sci. Eng. A., vol. 201, no. 1–2, pp. 269–276, 1995. DOI: 10.1016/0921-5093(95)09773-2.
   Web of Science ®Google Scholar
• B. V. Sankar, An elasticity solution for functionally graded beams, Compos. Sci. Technol., vol. 61, no. 5, pp. 689–696, 2001. DOI: 10.1016/S0266-3538(01)00007-0.
   Web of Science ®Google Scholar
• M. P. Lutz and R. W. Zimmerman, Thermal stresses and effective thermal expansion coefficient of a functionally gradient sphere, J. Therm. Stress., vol. 19, no. 1, pp. 39–54, 1996. DOI: 10.1080/01495739608946159.
   Web of Science ®Google Scholar
• M. R. Eslami, M. H. Babaei, and R. Poultangari, Thermal and mechanical stresses in a functionally graded thick sphere, Int. J. Press. Vessels Pip., vol. 82, no. 7, pp. 522–527, 2005. DOI: 10.1016/j.ijpvp.2005.01.002.
   Web of Science ®Google Scholar
• M. Jabbari, S. Sohrabpour, and M. R. Eslami, Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads, Int. J. Press. Vessels Pip., vol. 79, no. 7, pp. 493–497, 2002. DOI: 10.1016/S0308-0161(02)00043-1.
   Web of Science ®Google Scholar
• Y. Bayat, M. Ghannad, and H. Torabi, Analytical and numerical analysis for the FGM thick sphere under combined pressure and temperature loading, Arch. Appl. Mech., vol. 82, no. 2, pp. 229–242, 2012. DOI: 10.1007/s00419-011-0552-x.
   Web of Science ®Google Scholar
• Y. Fukui, N. Yamanaka, and K. Wakashima, The stresses and strains in a thick-walled tube for functionally graded material under uniform thermal loading, JSME Int. J. Ser. A., Mech. Materi. Eng., vol. 36, no. 2, pp. 156–162, 1993. DOI: 10.1299/jsmea1993.36.2_156.
   Web of Science ®Google Scholar
• Y. Z. Chen and X. Y. Lin, Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials, Comput. Mater. Sci., vol. 44, no. 2, pp. 581–587, 2008. DOI: 10.1016/j.commatsci.2008.04.018.
   Web of Science ®Google Scholar
• F. Alavi, D. Karimi, and A. Bagri, An investigation on thermoelastic behaviour of functionally graded thick spherical vessels under combined thermal and mechanical loads, J. Achiev. Mater. Manuf. Eng., vol. 31, no. 2, pp. 422–428, 2008.
   Google Scholar
• Qiduo Jin and Yiru Ren, Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre-and post-buckled FG nanotubes, Commun. Nonlinear Sci. Numer. Simul., vol. 104, pp. 106044, 2022. DOI: 10.1016/j.cnsns.2021.106044.
   Web of Science ®Google Scholar
• Y. Ren, L. Li, Q. Jin, L. Nie, and F. Peng, Vibration and snapthrough of fluid-conveying graphene-reinforced composite pipes under low-velocity impact, AIAA J., pp. 1–15, 2021. DOI: 10.2514/1.J060628.
   Google Scholar
• Q. Jin, Y. Ren, H. Jiang, and L. Li, A higher-order size-dependent beam model for nonlinear mechanics of fluid-conveying fg nanotubes incorporating surface energy, Compos. Struct., vol. 269, pp. 114022, 2021. DOI: 10.1016/j.compstruct.2021.114022.
   Web of Science ®Google Scholar
• T. R. Tauchert, Thermal stresses at spherical inclusions in uniform heat flow, J. Compos. Mater., vol. 2, no. 4, pp. 478–486, 1968. DOI: 10.1177/002199836800200408.
   Web of Science ®Google Scholar
• N. Krishna and S. Nomura, Analysis of thermal stresses in FGM-matrix media induced by a constant heat generation, Mech. Adva. Mater. Struct., pp. 1–7, 2021. DOI: 10.1080/15376494.2021.1952664.
   Web of Science ®Google Scholar
• Mathematica, Version 12.2. Wolfram Research, Inc., Champaign, IL, 2020.
   Google Scholar
• Richard Beals and Jacek Szmigielski, Meijer g-functions: a gentle introduction. Notices of the AMS, vol. 60, no. 7, pp. 866–872, 2013.
   Google Scholar
• George E Andrews, Richard Askey, and Ranjan Roy, Special functions. Number 71. Cambridge university press, 1999.
   Google Scholar
• B. A. Finlayson, The Method of Weighted Residuals and Variational Principles, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2013.
   Google Scholar
• S. Nomura, Micromechanics with Mathematica, John Wiley & Sons, New York, 2016.
   Google Scholar
• S. Nomura, Thermal stresses in composites induced by heat flow. In 29th Annual Technical Conference of the American Society for Composites, ASC 2014; 16th US-Japan Conference on Composite Materials; ASTM-D30 Meeting. DEStech Publications, 2014.
   Google Scholar