Skip to main content
SpringerLink
Log in

Analytical investigation of composite sandwich beams filled with shape memory polymer corrugated core

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

Shape memory polymers (SMPs) are a class of smart materials which can recover their shape even after many shape changes in application of an external stimulus. In this paper, flexural behavior of a composite beam, constructed of a corrugated part filled with SMPs, is studied. This composite beam is applicable in sensor and actuator applications. Since the corrugated profiles display higher stiffness-to-mass ratio in the transverse to the corrugation direction, the beams with a corrugated part along the transverse direction are stiffer than ones with a corrugated part along the length. Employing a developed constitutive model for SMPs and the Euler–Bernoulli beam theory, the behavior of the composite beam is studied. Since the utilized constitutive model is in the integral form, the finite-difference-method is used for discretizing the equations. It is shown that load capacity is increased in both composite beams compared to a pure SMP beam. This bigger load capacity is obtained by a low decrease in shape fixity. In addition, for different corrugated shapes (trapezoidal, pseudo-sinusoidal and triangular) with the same SMP content, the beam response is obtained. Finally, the results of the constrained stress-recovery are obtained and the effects of mechanical properties on its behavior, are studied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. Ghosh P, Srinivasa AR (2014) Development of a finite strain two-network model for shape memory polymers using QR decomposition. Int J Eng Sci 81:177–191

    Article  MathSciNet  MATH  Google Scholar 

  2. Sujithra R, Srinivasan SM, Arockiarajan A (2014) Modeling memory effects in amorphous polymers. Int J Eng Sci 84:95–112

    Article  MATH  Google Scholar 

  3. Nassiri-monfared A, Baghani M, Zakerzadeh MR, Fahimi P (2018) Developing a semi-analytical model for thermomechanical response of SMA laminated beams, considering SMA asymmetric behavior. Meccanica 53(4–5):957–971

    Article  Google Scholar 

  4. Doroudchi A, Zakerzadeh MR, Baghani M (2018) Developing a fast response SMA-actuated rotary actuator: modeling and experimental validation. Meccanica 53(1–2):305–317

    Article  Google Scholar 

  5. Poursafar J, Bashirpour M, Kolahdouz M, Vakilipour Takaloo A, Masnadi-Shirazi M, Asl- Soleimani E (2018) Ultrathin solar cells with Ag meta-material nanostructure for light absorption enhancement. Solar Energy 166:98–102

    Article  ADS  Google Scholar 

  6. Ghorbani S, Bashirpour M, Kolahdouz M, Neshat M, Mansouree M, Forouzmehr M (2014) Improving efficiency of THz photoconductive antennas using nano plasmonic structure. In: Optics InfoBase Conference Papers

  7. Chung T, Romo-Uribe A, Mather PT (2008) Two-way reversible shape memory in a semicrystalline network. Macromolecules 41(1):184–192

    Article  ADS  Google Scholar 

  8. Sodhi J, Rao I (2010) Modeling the mechanics of light activated shape memory polymers. Int J Eng Sci 48(11):1576–1589

    Article  Google Scholar 

  9. Imai S, Sakurai K (2013) An actuator of two-way behavior by using two kinds of shape memory polymers with different Tgs. Precis Eng 37(3):572–579

    Article  Google Scholar 

  10. Basit A, L’Hostis G, Durand B (2013) High actuation properties of shape memory polymer composite actuator. Smart Mater Struct 22(2):025023

    Article  ADS  Google Scholar 

  11. Bergman D, Yang B (2016) An analytical shape memory polymer composite beam model for space applications. Int J Struct Stab Dyn 16(02):1450093

    Article  MathSciNet  MATH  Google Scholar 

  12. Reese S, Böl M, Christ D (2010) Finite element-based multi-phase modelling of shape memory polymer stents. Comput Methods Appl Mech Eng 199(21–22):1276–1286

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. Manzo JE, Garcia E (2008) The smart joint: model and optimization of a shape memory alloy/shape memory polymer composite actuator. In: ASME 2008 conference on smart materials, adaptive structures and intelligent systems. American Society of Mechanical Engineers

  14. Rauscher SG (2008) Testing and analysis of shape-memory polymers for morphing aircraft skin application. University of Pittsburgh, Pittsburgh

    Google Scholar 

  15. Wang Z, Song W, Ke L, Wang Y (2012) Shape memory polymer composite structures with two-way shape memory effects. Mater Lett 89:216–218

    Article  Google Scholar 

  16. Zhang L, Du H, Liu L, Liu Y, Leng J (2014) Analysis and design of smart mandrels using shape memory polymers. Compos B Eng 59:230–237

    Article  Google Scholar 

  17. Moon S, Cui F, Rao I (2015) Constitutive modeling of the mechanics associated with triple shape memory polymers. Int J Eng Sci 96:86–110

    Article  MathSciNet  MATH  Google Scholar 

  18. Yang Q, Li G (2016) Temperature and rate dependent thermomechanical modeling of shape memory polymers with physics based phase evolution law. Int J Plast 80:168–186

    Article  Google Scholar 

  19. Park H, Harrison P, Guo Z, Lee M-G, Yu W-R (2016) Three-dimensional constitutive model for shape memory polymers using multiplicative decomposition of the deformation gradient and shape memory strains. Mech Mater 93:43–62

    Article  Google Scholar 

  20. Boatti E, Scalet G, Auricchio F (2016) A three-dimensional finite-strain phenomenological model for shape-memory polymers: formulation, numerical simulations, and comparison with experimental data. Int J Plast 83:153–177

    Article  Google Scholar 

  21. Liu Y, Gall K, Dunn ML, Greenberg AR, Diani J (2006) Thermomechanics of shape memory polymers: uniaxial experiments and constitutive modeling. Int J Plast 22(2):279–313

    Article  MATH  Google Scholar 

  22. Chen Y-C, Lagoudas DC (2008) A constitutive theory for shape memory polymers. Part I: large deformations. J Mech Phys Solids 56(5):1752–1765

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. Chen Y-C, Lagoudas DC (2008) A constitutive theory for shape memory polymers. Part II: a linearized model for small deformations. J Mech Phys Solids 56(5):1766–1778

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. Baghani M, Naghdabadi R, Arghavani J, Sohrabpour S (2012) A thermodynamically-consistent 3 D constitutive model for shape memory polymers. Int J Plast 35:13–30

    Article  Google Scholar 

  25. Baghani M, Mohammadi H, Naghdabadi R (2014) An analytical solution for shape-memory-polymer Euler–Bernoulli beams under bending. Int J Mech Sci 84:84–90

    Article  Google Scholar 

  26. Baghani M, Dolatabadi R, Baniassadi M (2017) Developing a finite element beam theory for nanocomposite shape-memory polymers with application to sustained release of drugs. Scientia Iranica 24(1):249–259

    Article  Google Scholar 

  27. Molaaghaie-Roozbahani M, Heydarzadeh N, Baghani M, Eskandari AH, Baniassadi M (2016) An investigation on thermomechanical flexural response of shape-memory-polymer beams. Int J Appl Mech 8(5):1650063

    Article  Google Scholar 

  28. Eskandari AH, Baghani M, Sohrabpour S (2018) A Time-dependent finite element formulation for thick shape memory polymer beams considering shear effects. Int J Appl Mech 10(4):1850043

    Article  Google Scholar 

  29. Baghani M, Arghavani J, Naghdabadi R (2014) A finite deformation constitutive model for shape memory polymers based on Hencky strain. Mech Mater 73:1–10

    Article  Google Scholar 

  30. Balogun OA (2015) Thermo-mechanical constitutive model of shape memory polymer–numerical modeling, experimental validation and its application to aero-morphing structures. In: School of Mechanical and Materials Engineering. Washington State University

  31. Li Y, He Y, Liu Z (2017) A viscoelastic constitutive model for shape memory polymers based on multiplicative decompositions of the deformation gradient. Int J Plast 91:300–317

    Article  Google Scholar 

  32. Guo J, Liu J, Wang Z, He X, Hu L, Tong L, Tang X (2017) A thermodynamics viscoelastic constitutive model for shape memory polymers. J Alloys Compd 705:146–155

    Article  Google Scholar 

  33. Mohammadi H, Ziaei-Rad S, Dayyani I (2015) An equivalent model for trapezoidal corrugated cores based on homogenization method. Compos Struct 131:160–170

    Article  Google Scholar 

  34. Syerko E, Diskovsky AA, Andrianov IV, Comas-Cardona S, Binetruy C (2013) Corrugated beams mechanical behavior modeling by the homogenization method. Int J Solids Struct 50(6):928–936

    Article  Google Scholar 

  35. Robin G, Jrad M, Mathieu N, Daouadji A, Daya EM (2016) Vibration analysis of corrugated beams: the effects of temperature and corrugation shape. Mech Res Commun 71:1–6

    Article  Google Scholar 

  36. Ghabezi P, Golzar M (2013) Mechanical analysis of trapezoidal corrugated composite skins. Appl Compos Mater 20(4):341–353

    Article  ADS  Google Scholar 

  37. Koudzari M, Zakerzadeh MR, Baghani M (2018) Corrugated structures reinforced by shape memory alloy sheets: analytical modeling and finite element modeling. In: Proceedings of the institution of mechanical engineers, part G: journal of aerospace engineering

  38. Dayyani I, Ziaei-Rad S, Friswell MI (2014) The mechanical behavior of composite corrugated core coated with elastomer for morphing skins. J Compos Mater 48(13):1623–1636

    Article  Google Scholar 

  39. Dayyani I, Ziaei-Rad S, Salehi H (2012) Numerical and experimental investigations on mechanical behavior of composite corrugated core. Appl Compos Mater 19(3):705–721

    Article  ADS  Google Scholar 

  40. Bartolozzi G, Pierini M, Orrenius U, Baldanzini N (2013) An equivalent material formulation for sinusoidal corrugated cores of structural sandwich panels. Compos Struct 100:173–185

    Article  Google Scholar 

  41. Bartolozzi G, Baldanzini N, Pierini M (2014) Equivalent properties for corrugated cores of sandwich structures: a general analytical method. Compos Struct 108:736–746

    Article  Google Scholar 

  42. Dayyani I, Friswell MI, Ziaei-Rad S, Saavedra Flores EI (2013) Equivalent models of composite corrugated cores with elastomeric coatings for morphing structures. Compos Struct 2013(104):281–292

    Article  Google Scholar 

  43. St-Pierre L, Deshpande VS, Fleck NA (2015) The low velocity impact response of sandwich beams with a corrugated core or a Y-frame core. Int J Mech Sci 91:71–80

    Article  Google Scholar 

  44. Rubino V, Deshpande VS, Fleck NA (2010) The three-point bending of Y-frame and corrugated core sandwich beams. Int J Mech Sci 52(3):485–494

    Article  Google Scholar 

  45. Jamalimehr A, Baghani M, Baniassadi M, Zakerzadeh MR (2016) An investigation on thermomechanical behavior of shape memory polymer beams reinforced by corrugated polymeric sections. Meccanica 52:1947–1962

    Article  MATH  Google Scholar 

  46. Baghani M, Taheri A (2015) An analytic investigation on behavior of smart devices consisting of reinforced shape memory polymer beams. J Intell Mater Syst Struct 26(11):1385–1394

    Article  Google Scholar 

  47. Bauchau OA, Craig JI (2009) Euler–Bernoulli beam theory. In: Bauchau OA, Craig JI (eds) Structural analysis. Springer, Netherlands, pp 173–221

    Chapter  Google Scholar 

  48. Hibbeler RC (2013) Statics and mechanics of materials. Pearson Higher Ed., London

    Google Scholar 

  49. Nagai K, Masuda T, Nakagawa T, Freeman BD, Pinnau I (2001) Poly [1-(trimethylsilyl)-1-propyne] and related polymers: synthesis, properties and functions. Prog Polym Sci 26(5):721–798

    Article  Google Scholar 

  50. Mark J (2009) Polymer data handbook, vol 27. Oxford University Press, New York, pp 863–865

    Google Scholar 

Download references

Acknowledgements

The authors are grateful for the research support of the Iran National Science Foundation (INSF).

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, College of Engineering, University of Tehran, PO Box 11155-4563, Tehran, Iran

    Samira Akbari-Azar, Mostafa Baghani, Mohammad-Reza Zakerzadeh & Hamid Shahsavari

  2. Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran

    Saeed Sohrabpour

Authors
  1. Samira Akbari-Azar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mostafa Baghani
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Mohammad-Reza Zakerzadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hamid Shahsavari
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Saeed Sohrabpour
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mostafa Baghani.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Akbari-Azar, S., Baghani, M., Zakerzadeh, MR. et al. Analytical investigation of composite sandwich beams filled with shape memory polymer corrugated core. Meccanica 54, 1647–1661 (2019). https://doi.org/10.1007/s11012-019-01042-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-019-01042-y

Keywords

Search

Navigation