Skip to main content
SpringerLink
Log in

Comprehensive nonlinear buckling analysis of a cracked cylinder under axial loading

  • Published:
Sādhanā Aims and scope Submit manuscript

Abstract

This paper presents a comprehensive analysis of a nonlinear buckling of a cylinder with a crack with the new regression equation. For this purpose, the effective material properties and geometry parameters are considered. For geometry properties, the length, thickness and diameter for cylinder, the length, location and angle of crack are considered. For material properties, the modulus of elasticity, yield stress and plastic properties are considered. Then using the response surface method, a regression equation for predicting the cylinder's critical buckling load is proposed. To validate the results, some experimental tests are presented and the results show that there is good agreement between the proposed equation and experimental tests. Then the effects of considering parameters on the critical buckling load of the cylinder are investigated. The results show that in low values for thickness the yield stress has a more negligible effect, but for large thickness values, the yield stress has more effect on critical buckling load. Furthermore, the critical crack occurs when the crack locates perpendicular to the direction of the loading. Also, the crack's location and the cylinder's boundary condition are effective parameters on critical buckling load. Because of the interaction effect of material and geometry properties, the material and geometry parameters should be considered simultaneously to predict the critical buckling load.

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

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16

Similar content being viewed by others

References

  1. Arbelo M A, Herrmann A, Castro S G P, Khakimova R, Zimmermann R and Degenhardt R 2015 Investigation of buckling behavior of composite shell structures with cutouts. Appl. Compos. Mater. 22: 623–636

    Article  Google Scholar 

  2. Ghanbari Ghazijahani T, Jiao H and Holloway D 2014 Influence of a cutout on circular steel hollow sections under cyclic loading. J. Constr. Steel Res. 100: 12–20

    Article  Google Scholar 

  3. Guo S, Li D, Zhang X and Xiang J 2014 Buckling and post-buckling of a composite C-section with cutout and flange reinforcement. Compos. Part B: Eng. 60: 119–124

    Article  Google Scholar 

  4. Hatami H and Shariati M 2019 Numerical and experimental investigation of SS304L cylindrical shell with cutout under uniaxial cyclic loading. Iran. J. Sci. Technol. Trans. Mech. Eng. 43: 139–153. https://doi.org/10.1007/s40997-017-0120-2

    Article  Google Scholar 

  5. Jiao P, Chen Z, Xu F, Tang X and Su W 2018 Effects of ringed stiffener on the buckling behavior of cylindrical shells with cutout under axial compression: Experimental and numerical investigation. Thin-Walled Struct. 123: 232–243

    Article  Google Scholar 

  6. Krishnaveni G, Mounika K and Navyasree A 2018 Buckling analysis of composite cylindrical shell with cutout section. Mater. Today Proc. 5: 11751–61

    Article  Google Scholar 

  7. Kumar Chaubey A, Kumar A and Chakrabarti A 2020 Effect of multiple cutouts on shear buckling of laminated composite spherical shells. Mater. Today: Proc. 21: 1155–63

    Google Scholar 

  8. Taheri-Behrooz F, Omidi M and Shokrieh M M 2017 Experimental and numerical investigation of buckling behavior of composite cylinders with cutout. Thin-Walled Struct. 116: 136–44

    Article  Google Scholar 

  9. Baba B O 2007 Buckling behavior of laminated composite plates. J. Reinf. Plast. Compos. 26: 1637–55

    Article  Google Scholar 

  10. Ghannadpour S A M, Najafi A and Mohammadi B 2006 On the buckling behavior of cross-ply laminated composite plates due to circular/elliptical cutouts. Compos. Struct. 75: 3–6

    Article  Google Scholar 

  11. Jafari Fesharaki J, Mobini Dehkordi H, Zohari M and Karimi S 2018 Best pattern for locating piezoelectric patches on a plate for maximum critical buckling loads, using particle swarm optimization algorithm. J. Intell. Mater. Syst. Struct. 29: 2874–84

    Article  Google Scholar 

  12. Lakshminarayana A, VijayaKumar R and Krishnamohana Rao G 2018 Thermal buckling analysis of laminated composite plate with square/rectangular, elliptical/circular cutout. Mater. Today Proc. 5: 5354–63

    Article  Google Scholar 

  13. Mao J and Bao S 2015 Comparative studies on buckling behaviors of T joint and pipe by varying geometric parameters and analysis methods. Int. J. Mech. Sci. 90: 113–21

    Article  Google Scholar 

  14. Narayana A L, Rao K and Kumar R V 2014 Buckling analysis of rectangular composite plates with rectangular cutout subjected to linearly varying in-plane loading using fem. Sadhana 39: 583–96

    Article  Google Scholar 

  15. Cho H-K 2018 Optimization of laminated composite cylindrical shells to maximize resistance to buckling and failure when subjected to axial and torsional loads. Int. J. Precis. Eng. Manuf. 19: 85–95

    Article  Google Scholar 

  16. Natarajan S, Deogekar P S, Manickam G and Belouettar S 2014 Hygrothermal effects on the free vibration and buckling of laminated composites with cutouts. Compos. Struct. 108: 848–55

    Article  Google Scholar 

  17. Renani M J K and Fesharaki J J 2020 Nonlinear buckling analysis of cones with rectangular cutouts, numerical and experimental investigation. Int. J. Steel Struct. 20: 35–45

    Article  Google Scholar 

  18. Schenk C A and Schuëller G I 2007 Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections. Comput. Methods Appl. Mech. Eng. 196: 3424–34

    Article  Google Scholar 

  19. Shariati M and Rokhi M M 2008 Numerical and experimental investigations on buckling of steel cylindrical shells with elliptical cutout subject to axial compression. Thin-Walled Struct. 46: 1251–61

    Article  Google Scholar 

  20. Shirkavand A, Taheri-Behrooz F and Omidi M 2019 Orientation and size effect of a rectangle cutout on the buckling of composite cylinders. Aerosp. Sci. Technol. 87: 488–97

    Article  Google Scholar 

  21. Shariati M and Rokhi M M 2010 Buckling of steel cylindrical shells with an elliptical cutout. Int. J. Steel Struct. 10: 193–205

    Article  Google Scholar 

  22. Shojaee T, Mohammadi B and Madoliat R 2020 Experimental and numerical investigation of stiffener effects on buckling strength of composite laminates with circular cutout. J. Compos. Mater. 54: 1141–60

    Article  Google Scholar 

  23. Shojaee T, Mohammadi B, Madoliat R and Salimi-Majd D 2019 Development of a finite strip method for efficient prediction of buckling and post-buckling in composite laminates containing a cutout with/without stiffener. Compos. Struct. 210: 538–52

    Article  Google Scholar 

  24. Fesharaki J J, Madani S G and Golabi S 2016 Effect of stiffness and thickness ratio of host plate and piezoelectric patches on reduction of the stress concentration factor. Int. J. Adv. Struct. Eng. 8: 229–42

    Article  Google Scholar 

  25. Tafreshi A 2002 Buckling and post-buckling analysis of composite cylindrical shells with cutouts subjected to internal pressure and axial compression loads. Int. J. Press. Vessels Pip. 79: 351–9

    Article  Google Scholar 

  26. Wei R, Pan G, Jiang J and Shen K 2019 Influence of ply angle and length on buckling behavior of composite shells under hydrostatic pressure. J. Reinf. Plast. Compos. 38: 478–91

    Article  Google Scholar 

  27. Zhao C, Niu J, Zhang Q, Zhao C and Xie J 2019 Buckling behavior of a thin-walled cylinder shell with the cutout imperfections. Mech. Adv. Mater. Struct. 26: 1536–42

    Article  Google Scholar 

  28. Hao P, Wang B, Tian K, Liu H, Wang Y, Fand Niu and Zeng D 2017 Simultaneous buckling design of stiffened shells with multiple cutouts. Eng. Optim. 49: 1116–32

    Article  Google Scholar 

  29. Dmitriev V G, Egorova O V, Zhavoronok S I and Rabinskii L N 2018 Investigation of buckling behavior for thin-walled bearing aircraft structural elements with cutouts by means of numerical simulation. Rus. Aeronaut. 61: 165–74

    Article  Google Scholar 

  30. Sharma K and Kumar D 2017 Elastoplastic analysis of FGM plate with a central cutout of various shapes under thermomechanical loading. J. Thermal Stresses 40: 1417–41

    Article  Google Scholar 

  31. Lee S E, Sahin S, Rigo P, Park M and Paik J K 2017 Ultimate strength of cylindrical shells with cutouts. Ships Offsh. Struct. 12: S153–S73

    Article  Google Scholar 

  32. Bodlani S B, Yuen S C K and Nurick G N 2009 The energy absorption characteristics of square mild steel tubes with multiple induced circular hole discontinuities—part I: experiments. J. Appl. Mech., 76

  33. Ravi Sankar H and Parameswaran V 2016 Effect of multiple holes on dynamic buckling of stubby shells: An experimental and numerical investigation. Int. J. Impact Eng. 96: 129–45

    Article  Google Scholar 

  34. Cheng Q, Altenhof W and Li L 2006 Experimental investigations on the crush behaviour of AA6061-T6 aluminum square tubes with different types of through-hole discontinuities. Thin-Walled Struct. 44: 441–54

    Article  Google Scholar 

  35. Ravi Sankar H and Parameswaran V 2018 Effect of circular perforations on the progressive collapse of circular cylinders under axial impact. Int. J. Impact Eng. 122: 346–62

    Article  Google Scholar 

  36. Sam Daliri O, Farahani M and Farhang M 2019 A combined numerical and statistical analysis for prediction of critical buckling load of the cylindrical shell with rectangular cutout. Eng. Solid Mech., 35-46

  37. Sabag M, Stavsky Y and Greenberg J B 1989 Buckling of edge damaged, cylindrical composite shells. J. Appl. Mech. 56: 121–6

    Article  Google Scholar 

  38. Haghpanah Jahromi B and Vaziri A 2012 Instability of cylindrical shells with single and multiple cracks under axial compression. Thin-Walled Struct. 54: 35–43

    Article  Google Scholar 

  39. Vaziri A 2007 On the buckling of cracked composite cylindrical shells under axial compression. Compos. Struct. 80: 152–8

    Article  Google Scholar 

  40. Akrami V and Erfani S 2017 An analytical and numerical study on the buckling of cracked cylindrical shells. Thin-Walled Struct. 119: 457–69

    Article  Google Scholar 

  41. Estekanchi H E and Vafai A 1999 On the buckling of cylindrical shells with through cracks under axial load. Thin-Walled Struct. 35: 255–74

    Article  Google Scholar 

  42. Taghipoor H, Ghiaskar A and Shavalipour A 2021 Crashworthiness performance of thin-walled, square tubes with circular hole discontinuities under high-speed impact loading. Int. J. Crashworthiness, 1–13

  43. Vaziri A and Estekanchi H E 2006 Buckling of cracked cylindrical thin shells under combined internal pressure and axial compression. Thin-Walled Struct. 44: 141–51

    Article  Google Scholar 

  44. Ifayefunmi O and Mahidan F M 2020 Buckling of cracked cones subjected to axial compression. Latin Am. J. Solids Struct., 17

  45. Scheffe H 1999 The analysis of variance. Wiley, New York, 477 pp

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

    Ali Mohammadi Nasab & Javad Jafari Fesharaki

  2. Modern Manufacturing Technologies Research center, Najafabad Branch, Islamic Azad University, Najafabad, Iran

    Ali Mohammadi Nasab & Javad Jafari Fesharaki

Authors
  1. Ali Mohammadi Nasab
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Javad Jafari Fesharaki
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Javad Jafari Fesharaki.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nasab, A.M., Fesharaki, J.J. Comprehensive nonlinear buckling analysis of a cracked cylinder under axial loading. Sādhanā 47, 58 (2022). https://doi.org/10.1007/s12046-022-01819-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12046-022-01819-0

Keywords

Search

Navigation