Thermoelastic analysis of laminated composite and sandwich shells considering the effects of transverse shear and normal deformations

References

• G. R. Kirchhoff, “Uber das Gleichgewicht und die Bewegung einer Elastischen Scheibe,” J. Reine Angew. Math. (Crelle), vol. 40, pp. 51–88, 1850.
   Google Scholar
• R. D. Mindlin, “Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates,” ASME J. Appl. Mech., vol. 18, pp. 31–38, 1951.
   Web of Science ®Google Scholar
• K. P. Soldatos, “Mechanics of cylindrical shells with non-circular cross-section,” Appl. Mech. Rev., vol. 52, no. 8, pp. 237–274, 1999. DOI: 10.1115/1.3098937.
   Google Scholar
• M. S. Qatu, “Recent research advances in the dynamic behavior of shells: 1989–2000, Part 1: laminated composite shells,” Appl. Mech. Rev., vol. 55, no. 4, pp. 325–350, 2002a.
   Google Scholar
• M. S. Qatu, “Recent research advances in the dynamic behavior of shells: 1989–2000, Part 2: homogeneous shells,” Appl. Mech. Rev., vol. 55, no. 5, pp. 415–434, 2002b. DOI: 10.1115/1.1483078.
   Google Scholar
• M. S. Qatu, “Review of shallow shell vibration research,” Shock Vib., vol. 24, no. 9, pp. 3–15, 1992. DOI: 10.1177/058310249202400903.
   Google Scholar
• M. S. Qatu, R. W. Sullivan, and W. Wang, “Recent research advances in the dynamic behavior of composite shells: 2000-2009,” Compos. Struct., vol. 93, no. 1, pp. 14–31, 2010. DOI: 10.1016/j.compstruct.2010.05.014.
   Web of Science ®Google Scholar
• M. S. Qatu, “Accurate theory for laminated composite deep thick shells,” Int. J. Solids Struct., vol. 36, no. 19, pp. 2917–2941, 1999. DOI: 10.1016/S0020-7683(98)00134-61.
   Web of Science ®Google Scholar
• M. S. Qatu, A. Asadi, and W. Wang, “Review of recent literature on static analysis of composite shells: 2000-2010,” OJCM, vol. 02, no. 03, pp. 61–86, 2012. DOI: 10.4236/ojcm.2012.23009.
   Google Scholar
• M. S. Qatu, “Natural vibration of free, laminated composite triangular and trapezoidal shallow shells,” Compos. Struct., vol. 31, no. 1, pp. 9–19, 1995. DOI: 10.1016/0263-8223(94)00053-0.
   Web of Science ®Google Scholar
• A. S. Sayyad and Y. M. Ghugal, “On the free vibration analysis of laminated composite and sandwich plates: a review of recent literature with some numerical results,” Compos. Struct., vol. 129, pp. 177–201, 2015. DOI: 10.1016/j.compstruct.2015.04.007.
   Web of Science ®Google Scholar
• A. S. Sayyad and Y. M. Ghugal, “Bending, buckling and free vibration of laminated composite and sandwich beams: a critical review of literature,” Compos. Struct., vol. 171, pp. 486–504, 2017. DOI: 10.1016/j.compstruct.2017.03.053.
   Web of Science ®Google Scholar
• E. Asadi, W. Wang, and M. S. Qatu, “Static and vibration analyses of thick deep laminated cylindrical shells using 3D and various shear deformation theories,” Compos. Struct., vol. 94, no. 2, pp. 494–500, 2012. DOI: 10.1016/j.compstruct.2011.08.011.
   Web of Science ®Google Scholar
• P. K. Kapania, “Review on the analysis of laminated shells,” J. Press. Vessel. Technol. ASME, vol. 111, no. 2, pp. 88–96, 1989. DOI: 10.1115/1.3265662.
   Web of Science ®Google Scholar
• G. J. Simitses, “Buckling of moderately thick laminated cylindrical shells: a review,” Compos. Part B, vol. 27, no. 6, pp. 581–587, 1996. DOI: 10.1016/1359-8368(95)00013-5.
   Web of Science ®Google Scholar
• A. K. Noor, W. S. Burton, and J. M. Peters, “Assessment of computational models for multilayered composite cylinders,” Int. J. Solids Struct., vol. 27, no. 10, pp. 1269–1286, 1991. DOI: 10.1016/0020-7683(91)90162-9.
   Web of Science ®Google Scholar
• K. M. Liew, C. W. Lim, and S. Kitipornchai, “Vibration of shallow shells: a review with bibliography,” Appl. Mech. Rev., vol. 50, no. 8, pp. 431–444, 1997. DOI: 10.1115/1.3101731.
   Google Scholar
• J. N. Reddy, “A simple higher order theory for laminated composite plates,” J. Appl. Mech., vol. 51, no. 4, pp. 745–752, 1984a. DOI: 10.1115/1.3167719.
   Web of Science ®Google Scholar
• J. N. Reddy, “Exact solutions of moderately thick laminated shells,” ASCE J. Eng. Mech., vol. 110, no. 5, pp. 794–809, 1984b. DOI: 10.1061/(ASCE)0733-9399(1984)110:5(794).
   Web of Science ®Google Scholar
• X. Wang and Z. Zhong, “Three-dimensional solution of smart laminated anisotropic circular cylindrical shells with imperfect bonding,” Int. J. Solids Struct., vol. 40, no. 22, pp. 5901–5921, 2003. DOI: 10.1016/S0020-7683(03)00389-5.
   Web of Science ®Google Scholar
• A. Alibeigloo and V. Nouri, “Static analysis of functionally graded cylindrical shell with piezoelectric layers using differential quadrature method,” Compos. Struct., vol. 92, no. 8, pp. 1775–1785, 2010. DOI: 10.1016/j.compstruct.2010.02.004.
   Web of Science ®Google Scholar
• W. Zhen and C. Wanji, “A global-local higher order theory for multilayered shells and the analysis of laminated cylindrical shell panels,” Compos. Struct., vol. 84, no. 4, pp. 350–361, 2008. DOI: 10.1016/j.compstruct.2007.10.006.
   Web of Science ®Google Scholar
• R. K. Khare, T. Kant, and A. K. Garg, “Closed-form thermo-mechanical solutions of higher-order theories of cross-ply laminated shallow shells,” Compos. Struct., vol. 59, no. 3, pp. 313–340, 2003. DOI: 10.1016/S0263-8223(02)00245-3.
   Web of Science ®Google Scholar
• D. J. Benson, Y. Bazilevsa, M. C. T. Hsua, and J. R. Hughes, “Iso-geometric shell analysis: the Reissner-Mindlin shell,” Comput. Method Appl. Mech. Eng., vol. 199, no. 5-8, pp. 276–289, 2010. DOI: 10.1016/j.cma.2009.05.011.
   Web of Science ®Google Scholar
• A. M. Zenkour, “Stress analysis of axisymmetric shear deformable cross-ply laminated circular cylindrical shells,” J. Eng. Math., vol. 40, no. 4, pp. 315–332, 2001. DOI: 10.1023/A:1017500411490.
   Web of Science ®Google Scholar
• E. Carrera, “Historical review of zig-zag theories for multilayered plates and shells,” Appl. Mech. Rev., vol. 56, no. 3, pp. 287–309, 2003. DOI: 10.1115/1.1557614.
   Google Scholar
• E. Carrera, “Theories and finite elements for multilayered, anisotropic, composite plates and shells,” ARCO, vol. 9, no. 2, pp. 87–140, 2002. DOI: 10.1007/BF02736649.
   Web of Science ®Google Scholar
• E. Carrera, S. Brischetto, M. Cinefra, and M. Soave, “Effects of thickness stretching in functionally graded plates and shells,” Compos. Part B, vol. 42, no. 2, pp. 123–133, 2011. DOI: 10.1016/j.compositesb.2010.10.005.
   Web of Science ®Google Scholar
• E. Carrera, D. Crisafulli, G. Giunta, and S. Belouettar, “Evaluation of various through thickness and curvature approximations in free vibration analysis of cylindrical; composites shells,” IJVNV, vol. 7, no. 3, pp. 212–237, 2011. DOI: 10.1504/IJVNV.2011.042421.
   Google Scholar
• M. G. Rivera and J. N. Reddy, “Nonlinear transient and thermal analysis of functionally graded shells using a seven parameter shell finite element,” J. Model. Mech. Mater, vol. 1, no. 2, pp. 20170003, 2017.
   Google Scholar
• R. K. Khare, V. Rode, A. K. Garg, and S. P. John, “Higher order closed form solutions for thick laminated sandwich shell,” J. Sandwich Struct. Mater., vol. 7, no. 4, pp. 335–358, 2005. DOI: 10.1177/1099636205050260.
   Web of Science ®Google Scholar
• S. J. Hossain, P. K. Sinha, and A. H. Sheikh, “A finite element formulation for the analysis of laminated composite,” Comput. Struct., vol. 82, no. 20-21, pp. 1623–1638, 2004. DOI: 10.1016/j.compstruc.2004.05.004.
   Web of Science ®Google Scholar
• L. Dai, T. Yang, J. Du, W. L. Li, and M. J. Brennam, “An exact series solution for the vibration analysis of cylindrical shells with arbitrary boundary conditions,” Appl. Acous., vol. 74, no. 3, pp. 440–449, 2013. DOI: 10.1016/j.apacoust.2012.09.001.
   Web of Science ®Google Scholar
• B. Liu, Y. F. Xing, Y. F. M. S. Qatu, and A. J. M. Ferreria, “Exact characteristics equations for free vibrations of thin orthotropic circular cylindrical shells,” Compos. Struct., vol. 94, no. 2, pp. 484–493, 2012. DOI: 10.1016/j.compstruct.2011.08.012.
   Web of Science ®Google Scholar
• T. Timarci and K. P. Soldatos, “Comparative dynamic studies for symmetric cross ply circular cylindrical shells on the basis of a unified shear deformable shell theory,” J. Sound Vib., vol. 187, no. 4, pp. 609–624, 1995. DOI: 10.1006/jsvi.1995.0548.
   Web of Science ®Google Scholar
• K. M. Liew and C. W. Lim, “A higher-order theory for vibration of doubly curved shallow shells,” ASME J Appl. Mech., vol. 63, no. 3, pp. 587–593, 1996. DOI: 10.1115/1.2823338.
   Web of Science ®Google Scholar
• S. J. Lee and J. N. Reddy, “Vibration suppression of laminated shell structures investigated using higher order shear deformation theory,” Smart Mater. Struct., vol. 13, no. 5, pp. 1176–1194, 2004. DOI: 10.1088/0964-1726/13/5/022.
   Web of Science ®Google Scholar
• A. M. A. Neves, et al., “A quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates,” Compos. Struct., vol. 94, no. 5, pp. 1814–1825, 2012b. DOI: 10.1016/j.compstruct.2011.12.005.
   Web of Science ®Google Scholar
• M. S. Qatu and E. Asadi, “Vibration of doubly curved shallow shells with arbitrary boundaries,” Appl. Acous., vol. 73, no. 1, pp. 21–27, 2012. DOI: 10.1016/j.apacoust.2011.06.013.
   Web of Science ®Google Scholar
• H. Matsunaga, “Vibration and stability of cross-ply laminated composite shallow shells subjected to in-plane stresses,” Compos. Struct., vol. 78, no. 3, pp. 377–391, 2007. DOI: 10.1016/j.compstruct.2005.10.013.
   Web of Science ®Google Scholar
• J. L. Mantari, A. S. Oktem, A. S. Soares, and C. G. “Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher-order shear deformation theory,” Compos. Part B, vol. 43, no. 8, pp. 3348–3360, 2012. DOI: 10.1016/j.compositesb.2012.01.062.
   Web of Science ®Google Scholar
• J. L. Mantari and C. G. Soares, “Analysis of isotropic and multilayered plates and shells by using a generalized higher-order shear deformation theory,” Compos. Struct, vol. 94, no. 8, pp. 2640–2656, 2012. DOI: 10.1016/j.compstruct.2012.03.018.
   Web of Science ®Google Scholar
• J. L. Mantari and C. G. Soares, “Optimized sinusoidal higher order shear deformation theory for the analysis of functionally graded plates and shells,” Compos. Part B, vol. 56, pp. 126–136, 2014. DOI: 10.1016/j.compositesb.2013.07.027.
   Web of Science ®Google Scholar
• A. S. Oktem, J. L. Mantari and C. G. Soares, “Static response of functionally graded plates and doubly-curved shells based on a higher order shear deformation theory,” Eur. J. Mech. A Solid, vol. 36, pp. 163–172, 2012. DOI: 10.1016/j.euromechsol.2012.03.002.
   Web of Science ®Google Scholar
• E. Carrera, “An assessment of mixed and classical theories for the thermal stress analysis of orthotropic multilayered plates,” J. Therm. Stress., vol. 23, no. 9, pp. 797–831, 2000. DOI: 10.1080/014957300750040096.
   Web of Science ®Google Scholar
• E. Carrera, “Transverse normal strain effects on thermal stress analysis of homogeneous and layered plates,” AIAA J., vol. 43, no. 10, pp. 2232–2243, 2005. DOI: 10.2514/1.11230.
   Google Scholar
• E. Carrera and A. Ciuffreda, “Closed-form solutions to assess multilayered-plate theories for various thermal stress problems,” J. Therm. Stress., vol. 27, no. 11, pp. 1001–1031, 2004. DOI: 10.1080/01495730490498584.
   Web of Science ®Google Scholar
• M. Cinefra, E. Carrera, S. Brischetto, and S. Belouettar, “Thermo-mechanical analysis of functionally graded shells,” J. Therm. Stress., vol. 33, no. 10, pp. 942–963, 2010. DOI: 10.1080/01495739.2010.482379.
   Web of Science ®Google Scholar
• E. Carrera, M. Cinefra, and F. A. Fazzolari, “Some results on thermal stress of layered plates and shells by using unified formulation,” J. Therm. Stress., vol. 36, no. 6, pp. 589–625, 2013. DOI: 10.1080/01495739.2013.784122.
   Web of Science ®Google Scholar
• E. Carrera, M. Cinefra, A. Lamberti, and M. Petrolo, “Results on best theories for metallic and laminated shells including layer-wise models,” Compos. Struct., vol. 126, pp. 285–298, 2015. DOI: 10.1016/j.compstruct.2015.02.027.
   Web of Science ®Google Scholar
• E. Carrera and S. Valvano, “A variable kinematic shell formulation applied to thermal stress of laminated structures,” J. Therm. Stress., vol. 40, no. 7, pp. 803–827, 2017. DOI: 10.1080/01495739.2016.1253439.
   Web of Science ®Google Scholar
• A. S. Sayyad, B. M. Shinde, and Y. M. Ghugal, “Thermoelastic bending analysis of laminated composite plates according to various shear deformation theories,” Open Eng., vol. 5, pp. 18–30, 2015.
   Web of Science ®Google Scholar
• A. S. Sayyad, Y. M. Ghugal, and B. M. Shinde, “Thermal stress analysis of laminated composite plates using exponential shear deformation theory,” IJAUTOC, vol. 2, no. 1, pp. 23–40, 2016. DOI: 10.1504/IJAUTOC.2016.078100.
   Google Scholar
• A. S. Sayyad, Y. M. Ghugal, and B. A. Mhaske, “A four-variable plate theory for thermoelastic bending analysis of laminated composite plates,” J. Therm. Stress., vol. 38, no. 8, pp. 904–925, 2015. DOI: 10.1080/01495739.2015.1040310.
   Web of Science ®Google Scholar
• A. Bhimaraddi, “Three dimensional elasticity solution for static response of orthotropic doubly curved shallow shells on rectangular planform,” Compos. Struct., vol. 24, no. 1, pp. 67–77, 1993. DOI: 10.1016/0263-8223(93)90056-V.
   Web of Science ®Google Scholar
• A. A. Khdeir, M. D. Rajib, and J. N. Reddy, “Thermal effects on the response of cross ply laminated shallow shells,” Int. J. Solids Struct., vol. 29, no. 5, pp. 653–667, 1992. DOI: 10.1016/0020-7683(92)90059-3.
   Web of Science ®Google Scholar
• T. Kant and R. K. Khare, “Finite element thermal stress analysis of composite laminates using a higher order theory,” J. Therm. Stress., vol. 17, no. 2, pp. 229–255, 1994. DOI: 10.1080/01495739408946257.
   Web of Science ®Google Scholar
• J. F. He, “Thermo-elastic analysis of laminated plates including transverse shear deformation effects,” Compos. Struct., vol. 30, no. 1, pp. 51–59, 1995. [Mismatch] DOI: 10.1016/0263-8223(94)00026-3.
   Web of Science ®Google Scholar
• T. Kant, S. S. Pendhari and Y. M. Desai, “An efficient semi analytical model for composite and sandwich plates subjected to thermal load,” J. Therm. Stress., vol. 31, no. 1, pp. 77–103, 2007. DOI: 10.1080/01495730701738264.
   Web of Science ®Google Scholar
• T. Kant, “Thermal stresses in non-homogeneous shells of revolution: theory and analysis,” Tech. Rep. IIT-B/CE-79-2. Bombay: Dept. Civil Engineering, Indian Institute of Technology, 1979.
   Google Scholar
• T. Kant, “Thermo-elasticity of thick, laminated orthotropic shells,” Transactions of the International Conference on Structural Mechanics in Reactor Technology: Vol. M: methods for structural analysis. Amsterdam: North Holland, 1981.
   Google Scholar
• T. Kant and S. Patil, “Numerical results-analysis of pressures vessels using various shell theories,” Tech. Rep. Numerical Analysis of Pressure Vessels Using Various Shell Theories. Bombay: Dept. of Civil Engineering, Indian Institute of Technology, 1979, pp. 149–331.
   Google Scholar
• T. Kant, “Numerical analysis of pressure vessels using various shell theories,” Tech. Rep. IIT-B/CE-79-1. Bombay: Dept. of Civil Engineering, Indian Institute of Technology, 1979.
   Google Scholar
• J. G. Ren, “Analysis of laminated circular cylindrical shells under axisymmetric loading,” Compos. Struct., vol. 30, no. 3, pp. 271–280, 1995. DOI: 10.1016/0263-8223(94)00038-7.
   Web of Science ®Google Scholar
• N. S. Naik and A. S. Sayyad, “An accurate computational model for thermal analysis of laminated composite and sandwich plates,” J. Therm. Stress., vol. 42, no. 5, pp. 559–579, 2019. DOI: 10.1080/01495739.2018.1522986.
   Web of Science ®Google Scholar
• A. S. Sayyad and Y. M. Ghugal, “Static and free vibration analysis of laminated composite and sandwich spherical shells using a generalized higher-order shell theory,” Compos. Struct., vol. 219, pp. 129–146, 2019. DOI: 10.1016/j.compstruct.2019.03.054.
   Web of Science ®Google Scholar
• N. J. Pagano, “Exact solutions for bidirectional composites and sandwich plates,” J. Compos. Mater., vol. 4, no. 1, pp. 20–34, 1970. DOI: 10.1177/002199837000400102.
   Web of Science ®Google Scholar
• J. G. Ren, “Exact solutions for laminated cylindrical shells in cylindrical bending,” Compos. Sci. Technol., vol. 29, no. 3, pp. 169–187, 1987. DOI: 10.1016/0266-3538(87)90069-8.
   Web of Science ®Google Scholar