Buckling and Post-buckling Analysis of a Sandwich Panel with Flexible Core Reinforced with Memory Alloy Wires (SMA)

Document Type : Solid Mechanics

Authors

1 Asistant prof, Department of Mechanical Engineering, Khatmol Anbia Air Defense, Tehran, Iran

2 malek ashtar univ

3 khatamol anbia university

Abstract

Shape Memory Alloys (SMAs) are a group of intelligent materials which have distinct and superior properties compared to other alloys. The stress-strain behavior of these materials involves two specific nonlinear phenomena, namely the Shape Memory effect and the quasi-elastic effect. The behavior of the alloy whilst subject to these two phenomena is such that after it enters the plastic state, the material will regain its original form. The research is based on the modeling of these two behaviors of memory alloys in the ABAQUS software using UMAT code. In this study, the simulation of buckling and post-buckling of sandwich panels have been investigated. Preparing a UMAT memory alloy properties code, enables the designer to use any ABAQUS features to analyze the behavior of smart structures made with the shape memory alloy. Also, in this research, the first buckling critical force of the first five modes for different percentages of the alloy in the shell and core have been studied, and then the effects of volumetric percentage change of alloys, distance from neutral axis, fiber angle variations, and finally stability and post-buckling behavior of the memory alloy as the result of initial strain have been investigated. The investigations have shown large changes in the shape memory alloy due to the great recovery stress during the phase shift.

Keywords

Smiley face

References

  1. Tobushi, H., and Tanaka, K. “Deformation of a shape memory alloy helical spring (analysis based on stress-strain-temperature relation)”, JSME Int. journal. Ser. 1, solid Mech. strenght Mater. Vol. 34, No. 1, pp. 83–89, 1991.##
    1. Epps, J., and Chandra, R. “Shape memory alloy actuation for active tuning of composite beams”,  Smart Mater. Struct. Vol. 6, No. 3, pp. 251, 1997.##
    2. Pietrzakowski, M. “Dynamics of thermally activated shape memory alloy reinforced laminated beams”,  J. Theor. Appl. Mech. Vol. 36, No. 4, pp. 879–893, 1998.##
    3. Qidwai M. A., and Lagoudas, D. C. “Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms”,  Int. J. Numer. Methods Eng. Vol. 47, No. 6, pp. 1123–1168, 2000.##
    4. Roh, J. H., Han, J. H., and Lee, I. “Finite element analysis of adaptive inflatable structures with SMA strip actuator”,  in Smart structures and materials. pp. 460–471, 2005.##
    5. Lammering R., and Schmidt, I. “Experimental investigations on the damping capacity of NiTi components”,  Smart Mater. Struct. Vol. 10, No. 5, pp. 853, 2001.##
    6. Lau, K. “Vibration characteristics of SMA composite beams with different boundary conditions”, Mater. Des. Vol. 23, No. 8, pp.  741–749, 2002.##
    7. Shen, H. S. “Postbuckling analysis of pressure-loaded functionally graded cylindrical shells in thermal environments”, Eng. Struct. Vol. 25, No. 4, pp. 487–497, 2003.##
    8. Tafreshi, A. “Buckling and post-buckling analysis of composite cylindrical shells with cutouts subjected to internal pressure and axial compression loads”, Int. J. Press. Vessel. Pip. Vol. 79, No. 5, pp. 351–359, 2002.##
    9. Liew, K. M., Yang J., and Kitipornchai, S. “Thermal post-buckling of laminated plates comprising functionally graded materials with temperature-dependent properties”, J. Appl. Mech. Vol. 71, No. 6, pp. 839–850, 2004.##
    10. Kabele, P. “A Simplified Analysis of the Post-buckling Behavior of a Compressed Reinforcing Bar”, Acta Polytech. Vol. 44, No. 5–6, 2004.##
    11. Aghajari, S. Abedi, K., and Showkati, H. “Buckling and post-buckling behavior of        thin-walled cylindrical steel shells with varying thickness subjected to uniform external pressure”, Thin-walled Struct. Vol. 44, No. 8, pp. 904–909, 2006.##
    12. Li, S., Zhang, J., and Zhao, Y. “Thermal post-buckling of functionally graded material Timoshenko beams”, Appl. Math. Mech. Vol. 27, pp. 803–810, 2006.##
    13. Zakeri A. A., and Alinia, M. M. “An analytical study on post-buckling behaviour of imperfect sandwich panels subjected to uniform thermal stresses”, Thin-walled Struct. Vol. 44, No. 3,     pp. 344–353, 2006.##
    14. Hur, S. H., Son, H. J. , Kweon, J. H., and Choi, J. H. “Postbuckling of composite cylinders under external hydrostatic pressure”, Compos. Struct. Vol. 86, No. 1, pp. 114–124, 2008.##
    15. Khaloo, A. R., Eshghi, I., and Aghl, P. P. “Study of Behavior of Reinforced Concrete Beams with Smart Rebars Using Finite Element Modeling”, Int. J. Civ. Eng., Vol. 8, No. 3, pp. 221–231, 2010.##
    16. Lu, P., Cui, F. S., and Tan, M. J. “A theoretical model for the bending of a laminated beam with SMA fiber embedded layer”, Compos. Struct. Vol. 90, No. 4, pp. 458–464, 2009.##
    17. Huang, H., and Han, Q. “Nonlinear buckling and postbuckling of heated functionally graded cylindrical shells under combined axial compression and radial pressure”, Int. J. Non. Linear. Mech. Vol. 44, No. 2, pp. 209–218, 2009.##
    18. Huang, H., and Han, Q. “Nonlinear elastic buckling and postbuckling of axially compressed functionally graded cylindrical shells”, Int. J. Mech. Sci. Vol. 51, No. 7, pp. 500–507, 2009.##
    19. Shen, H. S., Yang, J., and Kitipornchai, S. “Postbuckling of internal pressure loaded FGM cylindrical shells surrounded by an elastic medium”, Eur. J. Mech. - A/Solids. Vol. 29, No. 3, pp. 448–460, 2010.##
    20. Mirzaeifar, R., DesRoches, R., and Yavari, A. “Exact solutions for pure torsion of shape memory alloy circular bars”, Mech. Mater. Vol. 42, No. 8, pp. 797–806, 2010.##
    21. Li, S. R., Yu, W. S. and Batra, R. C. “Free vibration of thermally pre/post-buckled circular thin plates embedded with shape memory alloy fibers”, J. Therm. Stress. Vol. 33, No. 2, pp. 79–96, 2010.##
    22. Shen, H. S., and Wang, H. “Thermal postbuckling of functionally graded fiber reinforced composite cylindrical shells surrounded by an elastic medium”, Compos. Struct. Vol. 102, No. 0, pp. 250–260, 2013.##
    23. Barzegari, M. M., Dardel, M., and Fathi, A. “Vibration analysis of a beam with embedded shape memory alloy wires”, Acta Mech. Solida Sin. Vol. 26, No. 5, pp. 536–550, 2013.##
    24. Panda, S. K., and Singh, B. N. “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.##
    25. Duc, N. D., and Quan, T. Q. “Nonlinear postbuckling of imperfect doubly curved thin shallow FGM shells resting on elastic foundations and subjected to mechanical loads”, Mech. Compos. Mater. Vol. 49, No. 5, pp.      493–506, 2013.##
    26. Van Dung, D. “Research on nonlinear torsional buckling and post-buckling of eccentrically stiffened functionally graded thin circular cylindrical shells”, Compos. Part B Eng. Vol. 51, pp. 300–309, 2013.##
    27. Andani, M. T., and Elahinia, M. “A rate dependent tension–torsion constitutive model for superelastic nitinol under non-proportional loading; a departure from von Mises equivalency”, Smart Mater. Struct. Vol. 23, No. 1, pp. 15012, 2013.##
    28. Dey, T., and Ramachandra, L. S.  “Buckling and postbuckling response of sandwich panels under non-uniform mechanical edge loadings”, Compos. Part B Eng. Vol. 60, No. 0, pp.         537–545, Apr. 2014.##
  2. Shen, H. S. “Postbuckling of FGM cylindrical panels resting on elastic foundations subjected to lateral pressure under heat conduction”, Int. J. Mech. Sci. Vol. 89, pp. 453–461, 2014.##

 

  1. KolAKowsKi, Z., MAniA, R. J., and GRudZiecKi, J. “Local nonsymmetrical postbuckling equilibrium path of the thin FGM plate”, Eksploat. i Niezawodn. Vol. 17, No. 1, 2015.##
  2. Sreehari, V. M., and Maiti, D. K. “Buckling and post buckling characteristics of laminated composite plates with damage under          thermo-mechanical loading”, in Structures. Vol. 6,        pp. 9–19, 2016.##
  3. Liang, C., and Rogers, C. A. “One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials”, J. Intell. Mater. Syst. Struct. Vol. 8, No. 4, pp. 285–302, 1997.##
  4. Tanaka, K. “A thermomechanical sketch of shape memory effect: one-dimensional tensile behavior”, Res Mech. Vol. 18, pp. 251–263, 1986.##
  5. Asadi, H., Bodaghi, M., Shakeri, M., and Aghdam M. M. “Nonlinear dynamics of SMA-fiber-reinforced composite beams subjected to a primary/secondary-resonance excitation”, Acta Mech. Vol. 226, pp. 1–19, 2014.##
  6. Rizov, V., Shipsha, A., and Zenkert, D. “Indentation study of foam core sandwich composite panels”, Compos. Struct. Vol. 69, No. 1, pp. 95–102, 2005.##
  7. Birman, V. “Stability of functionally graded shape memory alloy sandwich panels”, Smart Mater. Struct. Vol. 6, No. 3, pp. 278, 1997.##

Barbero, E. J., and Reddy, J. N. “Nonlinear analysis of composite laminates using a generalized laminated plate theory”, AIAA J.n Vol. 28, No. 11, pp. 1987–1994, 1990.##

Files

History

  • Receive Date: 30 November 2019
  • Revise Date: 16 April 2020
  • Accept Date: 23 May 2021
  • Publish Date: 21 April 2021

Share

How to cite

Statistics