Vibration of buckled composite plates with embedded heat treated SMA wires

Authors

-دانشجو

Abstract

Shape Memory Alloys (SMAs) are a group of smart materials which demonstrate two particular non-linear stress-strain behavior, Shape Memory Effect and Super elasticity based on Austenite to Martensite transformation and vice versa. Effects of heat treatment on SMA wire property and the vibration of composite plate with embedded SMA wires are investigated in current study. Heat treatment effects was studied experimentally and transformation temperatures is determined by differential scanning calorimetry (DSC). Since the ABAQUS software is not capable of analysis the shape memory alloy structures, the UMAT subroutine in the software is used to implement the Boyd and Laguodas model to any shape memory alloy finite element analysis in ABAQUS. Extensive numerical results are depicted to provide an insight into the effects of volume fraction, pre-strain and shape memory alloy properties, transformation temperatures and stress- strain curve changing duo to heat treatment on pre and post-buckled composite plate are discussed.

Keywords


[1] Lagoudas DC (2008) Shape memory alloys: modeling and engineering applications. Springer, Texas.
[2]  Sadrnezhaad K, Mashhadi F, Sharghi R (1997) Heat treatment of Ni-Ti alloy for improvement of shape memory effect. Mater Manuf Process 12(1): 107-115.
[3]  Miller DA, Lagoudas DC (2001) Influence of cold work and heat treatment on the shape memory effect and plastic strain development of NiTi. Mater Sci Eng A 308(1): 161-175.
[4]  Morgan NB, Broadley M (2004) Taking the art out of smart! - forming processes and durability issues for the application of Niti shape memory alloys in medical devices. ASM International.
[5]  Drexel M, Selvaduray G, Pelton A (2007) The effects of cold work and heat treatment on the properties of nitinol wire. ASME 2007 2nd Frontiers in Biomedical Devices Conference 89-90.
[6]  Vojtech D (2010) Influence of heat treatment of shape memory NiTi alloy on its mechanical properties. International Conference Metals 18-20.
[7]  Abdy A, Sadiq H, Al-Mahaidi R (2014) Effect of heat treatment on the recovery stresses generated by super-elastic NiTi shape memory alloy wires. 23rd Australasian Conference on the Mechanics of Structures and Materials .
[8]  Al-Haidary JT, Mustafa AM, Hamza AA (2017) Effect of heat treatment of Cu-Al-Be shape memory alloy on microstructure, shape memory effect and hardness. J Mater Sci Eng 6(6): 1-7.
[9]  Ansari M, Golzar M and Behravesh AH (2014) Exact solution for nonlinear thermal stability of geometrically imperfect hybrid laminated composite timoshenko beams embedded with SMA fibers. Compos Struct 108(1): 811-822.
[10] Tanaka K (1986) A thermomechanical sketch of shape memory effect: One-dimensional tensile behavior. Res Mech 18: 251-263.
[11] Liang C, Rogers CA (1990) One-dimensional thermomechanical constitutive relations for shape memory materials. J Intell Mater Syst Struct 8(4): 285-302.
[12] Brinson LC (1993) One-dimensional constitutive behavior of shape memory alloys: Thermomechanical derivation with non-constant material functions and redefined martensite internal variable. J Intell Mater Syst Struct 4(2): 229-242.
[13] Auricchio F, Sacco E (1997) A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite. Int J Non Linear Mech 23(6): 1101-1114.
[14] Lagoudas DC, Bo Z, Qidwai MA (1996) A unified thermodynamic constitutive model for SMA and finite element analysis of active metal matrix composites. Mech Compos Mater Struct 3(2): 153-179.
[15] Qidwai MA, Lagoudas DC (2000) Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms. Int J Numer Methods Eng 47(6): 1123-1168.
 [16] Roh JH, Han JH, Lee I (2005) Finite element analysis of adaptive inflatable structures with SMA strip actuator. Smart Struct Mater 460-471.
[17] Batat Y, Ekhteraei Tousi H (2019) Analytical layerwise solution of nonlinear thermal instability of SMA hybrid composite beam under nonuniform temperature condition. Mech Adv Mater Struct 1-14.
 [18] Soltani Gerdefaramarzi M, Bozorg M, Zakerzadeh MR (2015) Robust estimation of spring stiffness in a shape memory alloy actuator using extended kalman filter. Journal of Solid and Fluid Mechanics 5(4): 69-81.
[19] Ansari M, Golzar M, Behravesh AH (2013) Experimental studies of training stress effect on NiTi SMA performance in higher and lower stress than training stress. Modares Mechanical Engineering 13(10): 14-24.
[20] Khorramabadi R, Rezaeepazhand J (2017) Effects of initial twist on critical buckling load and frequency response of SMA tubes. Journal of Solid and Fluid Mechanics 7(3): 17-28.
[21] Li H, Liu Z, Ou J (2008) Experimental study of a simple reinforced concrete beam temporarily strengthened by SMA wires followed by permanent strengthening with CFRP plates. Eng Struct 30(3): 716-723.
[22] Park JS, Kim JH, Moon SH (2004) Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers. Compos Struct 63(2): 179-188.
[23] Samadpour M, Sadighi M, Shakeri M, Zamani HA (2015) Vibration analysis of thermally buckled SMA hybrid composite sandwich plate. Compos Struct 119: 251-263.
[24] Asadi H, Bodaghi M, Shakeri M, Aghdam MM (2014) Nonlinear dynamics of SMA-fiber-reinforced composite beams subjected to a primary/secondary-resonance excitation. Acta Mech 226(14): 1-19.
[25] ABAQUS Analysis user’s manual materials. Other plasticity models. Concrete (2010).
[26] Leo DJ (2007) Engineering analysis of smart material systems. Wiley, New York.
[27] Fernandes FMB (2013) Shape memory alloys: Processing, characterization and applications. Intechopen, Lisboa.
 [28] Liang C (1990) The constitutive modeling of shape memory alloys. PhD Thesis, Faculty of the Virginia Polytechnic Institute and State University, Blacksburg.
[29] Khorramabadi R (2014) Modeling the shape memory alloys behavior using UMAT. M.Sc thesis, Ferdowsi University of Mashhad, Mashhad.