Effects of the asymmetric behavior of the shape memory alloy on nonlinear dynamic responses of thick sandwich plates with embedded SMA wires

Ghaznavi, Aidin; Shariyat, Mohammad

doi:10.22061/jcarme.2019.2878.1300

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	Effects of the asymmetric behavior of the shape memory alloy on nonlinear dynamic responses of thick sandwich plates with embedded SMA wires
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 2، دوره 9، شماره 2 - شماره پیاپی 18، فروردین 2020، صفحه 183-197 اصل مقاله (1.17 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2019.2878.1300
نویسندگان
Aidin Ghaznavi^* ¹؛ Mohammad Shariyat²
¹Renewable Energies Department, Niroo Research Institute (NRI), Tehran, Iran
²Faculty of Mechanical Engineering, K.N. Toosi University of Technology, Tehran, Iran
تاریخ دریافت: 13 شهریور 1396، تاریخ بازنگری: 28 بهمن 1397، تاریخ پذیرش: 06 اسفند 1397
چکیده
In the present article, the dynamic behavior of sandwich plates with embedded shape memory alloy (SMA) wires is evaluated for two cases wherein (i) the stress-strain curve of the superelastic behavior of the SMA wires is symmetric and (ii) the mentioned curve is non-symmetric. A modified version of Brinson’s constitutive model is proposed and used. The high non-linearity in the behavior stems from the SMA wires embedded in the sandwich plate. In this regard, in addition to the proposed advanced algorithm for the determination of the martensite volume fraction, a Picard iterative solution algorithm is used in conjunction with Newmark’s numerical time integration method for solving the resulting finite element equations. To improve the accuracy of the results, the variation of martensite volume fraction and material properties of individual points of the structure are updated continuously. Therefore, the kinetic equations of the phase transformation of the SMA are coupled with the motion equations, to accurately model the nonlinear behavior of the sandwich plate. For analysis of the thick sandwich plate, a higher-order global-local theory with novel 3D-equilibrium-based corrections is utilized. One of the features of this theory is the estimation capability of the nonlinear in-plane displacement components, and precise assessment of the transverse shear stresses through satisfying the continuity conditions of the shear stresses at the interfaces between layers. Another advantage of the proposed theory in comparison with the conventional approaches is the ability to simulate changes in the core thickness. This is especially important in cases where the core is relatively thick or soft.
کلیدواژه‌ها
Higher-order Global-Local Theory؛ Nonlinear dynamic analysis؛ Asymmetric behavior of SMA؛ Finite element method

مراجع
[1] Wayman, C. M., and T. W. Duerig. "An introduction to martensite and shape memory" Butterworth-Heinemann,Engineering Aspects of Shape Memory Alloys(UK),Vol. 22, No. 1,pp. 3-20, (1990). [2] Liang, Chen, and Craig A. Rogers. "One-dimensional thermomechanical constitutive relations for shape memory materials." Journal of intelligent material systems and structures, Vol. 8, No.4, pp. 285-302, (1997). [3] Wilde, Krzysztof, Paolo Gardoni, and Yozo Fujino. "Base isolation system with shape memory alloy device for elevated highway bridges." Engineering structures, Vol. 22, No. 3, pp: 222-229, (2000). [4] Gordaninejad, Faramarz, and Weida Wu. "A two-dimensional shape memory alloy/elastomer actuator." International journal of solids and structures, Vol. 38, No. 19, pp: 3393-3409 (2001). [5] Epps, Jeanette, and Ramesh Chandra. "Shape memory alloy actuation for active tuning of composite beams." Smart Materials and Structures, Vol. 6, No. 3, pp: 251 (1997). [6] Lee, Hyo Jik, Jung Ju Lee, and Jeung Soo Huh. "A simulation study on the thermal buckling behavior of laminated composite shells with embedded shape memory alloy (SMA) wires." Composite structures, Vol. 47, No. 1, pp: 463-469, (1999).. [7] Lee, Hyo Jik, and Jung Ju Lee. "A numerical analysis of the buckling and postbuckling behavior of laminated composite shells with embedded shape memory alloy wire actuators." Smart Materials and Structures, Vol. 9, No. 6, pp: 780, (2000). [8] ROGERS, CRAIG, and DANIEL BARKER. "Experimental studies of active strain energy tuning of adaptive composites." 31st Structures, Structural Dynamics and Materials Conference. (1990). [9] Park, Jae-Sang, Ji-Hwan Kim, and Seong-Hwan Moon. "Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers." Composite Structures, Vol. 63, No. 2, pp:179-188, (2004). [10] Ghomshei, M. M., et al. "Nonlinear transient response of a thick composite beam with shape memory alloy layers." Composites Part B: Engineering, Vol. 36, No.1, pp: 9-24, (2005). [11] Brocca, M., L. C. Brinson, and Z. P. Bažant. "Three-dimensional constitutive model for shape memory alloys based on microplane model." Journal of the Mechanics and Physics of Solids, Vol. 50, No. 5, pp: 1051-1077, (2002). [12] Shariyat, M., S. M. R. Khalili, and I. Rajabi. "A global–local theory with stress recovery and a new post-processing technique for stress analysis of asymmetric orthotropic sandwich plates with single/dual cores." Computer Methods in Applied Mechanics and Engineering, Vol. 286, pp: 192-215, (2015). [13] Cunningham, P. R., R. G. White, and G. S. Aglietti. "The effects of various design parameters on the free vibration of doubly curved composite sandwich panels." Journal of Sound and Vibration, Vol. 230, No. 3, pp: 617-648, (2000). [14] Tahani, Masoud, and Asghar Nosier. "Free edge stress analysis of general cross-ply composite laminates under extension and thermal loading."Composite Structures, Vol. 60, No .1, pp: 91-103, (2003). [15] Shariyat M. A generalized high-order global–local plate theory for nonlinear bending and buckling analyses of imperfect sandwich plates subjected to thermo-mechanical loads. Composite Structures, Vol. 92, No. 1, pp: 130-143, (2010). [16] Shariyat, M. "A generalized global–local high-order theory for bending and vibration analyses of sandwich plates subjected to thermo-mechanical loads." International Journal of Mechanical Sciences, Vol. 52, No .3, pp: 495-514 (2010). [17] Shariyat M. Non-linear dynamic thermo-mechanical buckling analysis of the imperfect laminated and sandwich cylindrical shells based on a global-local theory inherently suitable for non-linear analyses. International Journal of Non-Linear Mechanics, Vol. 46, No. 1, pp: 253-271, (2011). [18] Lezgy-Nazargah M, Shariyat M, Beheshti-Aval SB. A refined high-order global-local theory for finite element bending and vibration analyses of the laminated composite beams. Acta Mechanica, Vol. 217, No. 3, pp: 219-242, (2011). [19] Mantari, J. L., and C. Guedes Soares. "Generalized layerwise HSDT and finite element formulation for symmetric laminated and sandwich composite plates." Composite Structures, Vol. 105, pp: 319-331 (2013). [20] Brocca, M., L. C. Brinson, and Z. P. Bažant. "Three-dimensional constitutive model for shape memory alloys based on microplane model." Journal of the Mechanics and Physics of Solids. Vol. 50, No. 5, pp: 1051-1077, (2002). [21] A. Ghaznavi, M. Shariyat, Non-linear layerwise dynamic response analysis of sandwich plates with soft auxetic cores and embedded SMA wires experiencing cyclic loadings, Composite Structures 171 (2017): 185-197. [22] Influence analysis of phase transformation anisotropy of SMA wires embedded in sandwich plates with flexible cores by a third-order zigzag theory with dynamic 3D elasticity corrections. Journal of Sandwich Structures and Materials. [23] A one dimensional model for superelastic and shape memory effect of shape memory alloy with different elastic properties between austenite and martensite various complex loading, Iranian Journal of Mechanical Engineering, Vol. 16, No.1, (2014) 78-103, ISSN 9727-1605 (In Persian). [24] Paskal, Yu I., and L. Monasevich. "Hysteresis features of the martensitic transformation of titanium nickelide." PHYS. METALS & METALLOG. Vol. 52, No. 5, pp: 95-99, (1983). [25] C.H. Thai, Loc V. Tran, Dung T. Tran, T. Nguyen-Thoi, H. Nguyen-Xuan. Analysis of laminated composite plates using higher-order shear deformation plate theory and node-based smoothed discrete shear gap method. Applied Mathematical Modelling 36 (2012) 5657–5677. [26] Pagano, N. J. "Exact solutions for rectangular bidirectional composites and sandwich plates." J. Composite Materials 4 (1970): 20-34. [27] Cho, Maenghyo, and Jinho Oh. "Higher order zig-zag theory for fully coupled thermo-electric–mechanical smart composite plates." International journal of solids and structures 41, no. 5 (2004): 1331-1356. [28] Sheikh, A. H., and A. Chakrabarti. "A new plate bending element based on higher-order shear deformation theory for the analysis of composite plates."Finite elements in analysis and design 39, no. 9 (2003): 883-903. [29] Khdeir, A. A., and J. N. Reddy. "Exact solutions for the transient response of symmetric cross-ply laminates using a higher-order plate theory."Composites Science and Technology, Vol. 34, No. 3, pp: 205-224, (1989). [30] Airoldi, G., G. Riva, and M. Vanelli. "Superelasticity and shape memory effect in NiTi orthodontic wires." Journal de Physique IV , Vol. 5, No. 8, pp: 1205, (1995).
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Effects of the asymmetric behavior of the shape memory alloy on nonlinear dynamic responses of thick sandwich plates with embedded SMA wires