Analytical layerwise solution of nonlinear thermal instability of SMA hybrid composite beam under nonuniform temperature condition

References

• M. Samadpour, H. Asadi, and Q. Wang, “Nonlinear aero-thermal flutter postponement of supersonic laminated composite beams with shape memory alloys,” Eur. J. Mech. A Solid., vol. 57, pp. 18–28, 2016.
   Web of Science ®Google Scholar
• Z. Zhang, and P. Sheng, “Research on stability and nonlinear vibration of shape memory alloy hybrid laminated composite panel under aerodynamic and thermal loads,” J. Intel. Mater. Syst. Struct., vol. 27, no. 20, pp. 1–11, 2016.
   Web of Science ®Google Scholar
• S. Pejman, and M. Kadkhodaei, “A smart thermal actuator for temperature control of the flat solar collectors using NiTi shape memory alloy thin wires,” Mech. Adv. Mater. Struct., vol. 106, pp. 9–17, 2016. DOI: 10.1080/15376494.2016.1227502.
   Google Scholar
• S. Hassanli, and B. Samali, “Buckling analysis of laminated composite curved panels reinforced with linear and non-linear distribution of shape memory alloys,” Thin-Wall Struct., vol. 106, pp. 9–17, 2016.
   Web of Science ®Google Scholar
• A. Barut, E. Madenci, and A. Tessler, “Nonlinear thermoelastic analysis of composite panels under non-uniform temperature distribution,” Int. J. Solid. Struct., vol. 37, no. 27, pp. 3681–3713, 2000.
   Web of Science ®Google Scholar
• L. C. Brinson, “One-dimensional constitutive behaviour of shape memory alloys: thermo-mechanical derivation with non-constant material functions and redefined martensite internal variable,” J. Intel. Mater. Syst. Struct., vol. 4, no. 2, pp. 229–242, 1993.
   Google Scholar
• H. Asadi, M. Bodaghi, M. Shakeri, and M. M. Aghdam, “Nonlinear dynamics of SMA-fiber-reinforced composite beams subjected to a primary/secondary-resonance excitation,” Acta Mechan., vol. 226, no. 2, pp. 437–455, 2015.
   Web of Science ®Google Scholar
• M. B. Dehkordi, “Modeling of simultaneous shape memory and pseudoelastic effects of shape memory alloys on nonlinear dynamic response of multilayer composite plate embedded with pre-strained SMA wires under thermal condition,” Mech. Adv. Mater. Struct., pp. 1–12, 2018.
   Web of Science ®Google Scholar
• M. B. Dehkordi, S. M. R. Khalili, and E. Carrera, “Non-linear transient dynamic analysis of sandwich plate with composite face-sheets embedded with shape memory alloy wires and flexible core-based on the mixed LW (layer-wise)/ESL (equivalent single layer) models,” Compos. Part B: Eng., vol. 87, pp. 59–74, 2016.
   Web of Science ®Google Scholar
• B. T. Lester, T. Baxevanis, Y. Chemisky, and D. C. Lagoudas, “Review and perspectives: shape memory alloy composite systems,” Acta Mechnica, vol. 226, pp. 3907–3960, 2015. DOI: 10.1007/s00707-015-1433-0.
   Web of Science ®Google Scholar
• H. Asadi, Y. Kiani, M. M. Aghdam, and M. Shakeri, “Enhanced thermal buckling of laminated composite cylindrical shells with shape memory alloy,” J. Compos. Mater., vol. 50, pp.243–256, 2015.
   Web of Science ®Google Scholar
• S. Choi, J. J. Lee, and D. C. Lee, “Thermal buckling of laminated composite beams with embedded shape memory alloy actuators,” J. Compos. Mater., vol. 34, no. 18, pp. 1529–1547, 2000.
   Web of Science ®Google Scholar
• T. Akbari, and S. M. R. Khalili, “Experimental investigations on the mechanical properties and buckling behavior of the filament wound composite shells embedded with shape memory alloy wires,” Mech. Adv. Mater. Struct., pp. 1–7, 2018. DOI: 10.1080/15376494.2018.1434260.
   Web of Science ®Google Scholar
• S. K. Kumar, and B. N. Singh, “Thermal buckling analysis of SMA fiber-reinforced composite plates using layerwise model,” J. Aerosp. Eng., vol. 22, no. 4, pp. 342–353, 2009.
   Web of Science ®Google Scholar
• C. N. Kumar, and B. N. Singh, “Thermal buckling and post-buckling of laminated composite plates with SMA fibers using layerwise theory,” Int. J. Comput. Method. Eng. Sci. Mech., vol. 10, no. 6, pp. 423–429, 2009.
   Google Scholar
• S. K. Panda, and B. N. Singh, “Post-buckling analysis of laminated composite doubly curved panel embedded with SMA fibers subjected to thermal environment,” Mech. Adv. Mater. Struct., vol. 20, no. 10, pp. 842–853, 2013.
   Web of Science ®Google Scholar
• S. Kamarian, and M. Shakeri, “Thermal buckling analysis and stacking sequence optimization of rectangular and skew shape memory alloy hybrid composite plates,” Compos. Part B: Eng., vol. 116, pp. 137–152, 2017. doi.org/10.1016/j.compositesb.2017.01.059.
   Web of Science ®Google Scholar
• H. Asadi, A. H. Akbarzadeh, Z. T. Chen, and M. M. Aghdam, “Enhanced thermal stability of functionally graded sandwich cylindrical shells by shape memory alloys,” Smart Mater. Struct., vol. 24, no. 4, pp. 045022, 2015. DOI: 10.1088/0964-1726/24/4/045022.
   Web of Science ®Google Scholar
• H. Asadi, A. H. Akbarzadeh, and Q. Wang, “Nonlinear thermo-inertial instability of functionally graded shape memory alloy sandwich plates,” Compos. Struct., vol. 120, pp. 496–508, 2015.
   Web of Science ®Google Scholar
• H. Asadi, M. Bodaghi, M. Shakeri, and M. M. Aghdam, “An analytical approach for nonlinear vibration and thermal stability of shape memory alloy hybrid laminated composite beams,” Eur. J. Mech. A Solid., vol. 42, pp. 454–468, 2013.
   Web of Science ®Google Scholar
• H. Asadi, M. Bodaghi, M. Shakeri, and M. M. Aghdam, “On the free vibration of thermally pre/post-buckled shear deformable SMA hybrid composite beams,” Aerosp. Sci. Technol., vol. 31, no. 1, pp. 73–86, 2013.
   Web of Science ®Google Scholar
• H. Asadi, Y. Kiani, M. Shakeri, and M. R. Eslami, “Exact solution for nonlinear thermal stability of hybrid laminated composite timoshenko beams reinforced with SMA fibers,” Compos. Struct., vol. 108, pp. 811–822, 2014.
   Web of Science ®Google Scholar
• H. Asadi, Y. Kiani, M. Shakeri, and M. R. Eslami, “Exact solution for nonlinear thermal stability of geometrically imperfect hybrid laminated composite timoshenko beams embedded with SMA fibers,” J. Eng. Mech., vol. 141, no. 4, pp. 04014144, 2015. DOI: 10.1061/(ASCE)EM.1943-7889.0000873.
   Web of Science ®Google Scholar
• Y. Bayat, and H. EkhteraeiToussi, “Exact solution of thermal buckling and post buckling of composite and SMA hybrid composite beam by layerwise theory,” Aerosp. Sci. Technol., vol. 67, pp. 484–494, 2017.
   Web of Science ®Google Scholar
• W. J. Chen, P. D. Lin, and L. W. Chen, “Thermal buckling behaviour of thick composite laminated plates under non-uniform temperature distribution,” Comput. Struct., vol. 41, no. 4, pp. 637–645, 1991.
   Web of Science ®Google Scholar
• M. M. M. Ghomshei, and A. Mahmoudi, “Thermal buckling analysis of cross-ply laminated rectangular plates under non-uniform temperature distribution: a differential quadrature approach,” J. Mech. Sci. Technol., vol. 24, no. 12, pp. 2519–2527, 2010.
   Web of Science ®Google Scholar
• Z. G. Song, and F. M. Li, “Aero-thermo-elastic analysis of nonlinear composite laminated panel with aerodynamic heating in hypersonic flow,” Compos. Part B: Eng., vol. 56, pp. 830–839, 2014.
   Web of Science ®Google Scholar
• J. Li, Y. Narita, and Z. Wang, “The effects of non-uniform temperature distribution and locally distributed anisotropic properties on thermal buckling of laminated panels,” Compos. Struct., vol. 119, pp. 610–619, 2015.
   Web of Science ®Google Scholar
• Z. A. Rasid, R. Zahari, A. Ayob, D. L. Majid, and A. S. M. Rafie, “Thermal post-buckling of shape memory alloy composite plates under non-uniform temperature distribution,” Int. Sci. Index Mech. Mechatron. Eng., vol. 5, no. 8, pp. 1649–1654, 2011.
   Google Scholar
• N. N. Huang, and T. R. Buchert, “Large deformation of antisymmetric Angle-Ply laminates resulting from non-uniform temperature loadings,” J. Therm. Stress., vol. 11, pp. 287–297, 1988.
   Web of Science ®Google Scholar
• S. Li, and X. Song, “Large thermal deflections of Timoshenko beams under transversely non-uniform temperature rise,” Mech. Res. Commun., vol. 33, no. 1, pp. 84–92, 2006.
   Web of Science ®Google Scholar
• Z. M. Li, “Thermal postbuckling behavior of 3D braided beams with initial geometric imperfection under different type temperature distributions,” Compos. Struct., vol. 108, pp. 924–936, 2014.
   Web of Science ®Google Scholar
• L. C. Trinh, T. P. Vo, H. T. Thai, and T. K. Nguyen, “An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads,” Compos. Part B: Eng., vol. 100, no. 1, pp. 152–163, 2016. DOI: 10.1016/j.compositesb.2016.06.067.
   Google Scholar
• M. Cetkovic, “Thermal buckling of laminated composite plates using layerwise displacement model,” Compos. Struct., vol. 142, pp. 238–253, 2016.
   Web of Science ®Google Scholar
• L. Xue, G. Dui, B. Liu, and J. Zhang, “Theoretical analysis of a functionally graded shape memory alloy plate under graded temperature loading,” Mech. Adv. Mater. Struct., vol. 23, no. 10, pp. 1181–1187, 2016. doi:10.1080/15376494.2015.1068398.
   Web of Science ®Google Scholar
• S. E. Esfahani, Y. Kiani, and M. R. Eslami, “Non-linear thermal stability analysis of temperature dependent FGM beams supported on non-linear hardening elastic foundations,” Int. J. Mech. Sci., vol. 69, pp. 10–20, 2013.
   Web of Science ®Google Scholar
• V. Birman, D. A. Saravanis, and D. A. Hopkins, “Micromechanics of composites with shape memory alloy fibers in uniform thermal fields,” Am. Inst. Aeronaut. Astronaut. J., vol. 34, no. 9, pp. 1905–1912, 1996.
   Google Scholar
• M. Tahani, and S. M. Mirzababaee, “Non-linear analysis of functionally graded plates in cylindrical bending under thermomechanical loadings based on a layerwise theory,” Eur. J. Mech. A Solid., vol. 28, no. 2, pp. 248–256, 2009.
   Web of Science ®Google Scholar
• J. N. Reddy, Mechanics of Laminated Composite Plates and Shells, 2nd ed., New York: CRC Press LLC, 2004.
   Google Scholar
• B. A. Boley, and J. H. Winner, Theory of Thermal Stresses, New York: Dover, 1997.
   Google Scholar
• C. T. Herakovich, Mechanics of Fibrous Composites, New York: Wiley, 1998.
   Google Scholar
• S. Kawabata, and R. S. Rengasamy, “Thermal conductivity of unidirectional fiber composites made from yarns and computation of thermal conductivity of yarns,” Indian J. Fiber Tex. Res., vol. 27, pp. 217–223, 2002.
   Web of Science ®Google Scholar
• D. C. Lagoudas, Shape Memory Alloys, Texas: Springer, 2008.
   Google Scholar