Steel and Composite Structures

  • 제29권6호
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  • Pages.785-802
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  • 2018
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Ultimate strength estimation of composite plates under combined in-plane and lateral pressure loads using two different numerical methods

  • Ghannadpour, S.A.M. (Aerospace Engineering Department, Faculty of New Technologies and Engineering, Shahid Beheshti University) ;
  • Shakeri, M. (Aerospace Engineering Department, Faculty of New Technologies and Engineering, Shahid Beheshti University) ;
  • Barvaj, A. Kurkaani (Aerospace Engineering Department, Faculty of New Technologies and Engineering, Shahid Beheshti University)
  • 투고 : 2018.09.19
  • 심사 : 2018.12.31
  • 발행 : 2018.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, two different computational methods, called Rayleigh-Ritz and collocation are developed to estimate the ultimate strength of composite plates. Progressive damage behavior of moderately thick composite laminated plates is studied under in-plane compressive load and uniform lateral pressure. The formulations of both methods are based on the concept of the principle of minimum potential energy. First order shear deformation theory and the assumption of large deflections are used to develop the equilibrium equations of laminated plates. Therefore, Newton-Raphson technique will be used to solve the obtained system of nonlinear algebraic equations. In Rayleigh-Ritz method, two degradation models called complete and region degradation models are used to estimate the degradation zone around the failure location. In the second method, a new energy based collocation technique is introduced in which the domain of the plate is discretized into the Legendre-Gauss-Lobatto points. In this new method, in addition to the two previous models, the new model named node degradation model will also be used in which the material properties of the area just around the failed node are reduced. To predict the failure location, Hashin failure criteria have been used and the corresponding material properties of the failed zone are reduced instantaneously. Approximation of the displacement fields is performed by suitable harmonic functions in the Rayleigh-Ritz method and by Legendre basis functions (LBFs) in the second method. Finally, the results will be calculated and discussions will be conducted on the methods.

키워드

참고문헌

  1. Afshin, M. and Taheri-Behrooz, F. (2015), "Interlaminar stresses of laminated composite beams resting on elastic foundation subjected to transverse loading", Computat. Mater. Sci., 96, 439-447. https://doi.org/10.1016/j.commatsci.2014.06.027
  2. Aghaei, M., Forouzan, M.R., Nikforouz, M. and Shahabi, E. (2015), "A study on different failure criteria to predict damage in glass/polyester composite beams under low velocity impact", Steel Compos. Struct., Int. J., 18(5), 1291-1303. https://doi.org/10.12989/scs.2015.18.5.1291
  3. Argyris, J. and Tenek, L. (1997), "Recent advances in computational thermostructural analysis of composite plates and shells with strong nonlinearities", Appl. Mech. Rev., 50, 285-306. https://doi.org/10.1115/1.3101708
  4. Batra, R.C. and Xiao, J. (2013), "Analysis of post-buckling and delamination in laminated composite St. Venant-Kirchhoff beams using CZM and layer-wise TSNDT", Compos. Struct., 105, 369-384. https://doi.org/10.1016/j.compstruct.2013.05.011
  5. Becheri, T., Amara, K., Bouazza, M. and Benseddiq, N. (2016), "Buckling of symmetrically laminated plates using nth-order shear deformation theory with curvature effects", Steel Compos. Struct., Int. J., 21(6), 1347-1368. https://doi.org/10.12989/scs.2016.21.6.1347
  6. Brubak, L. and Hellesland, J. (2007a), "Approximate buckling strength analysis of arbitrarily stiffened and stepped plates", Eng. Struct., 29(9), 2321-2333. https://doi.org/10.1016/j.engstruct.2006.12.002
  7. Brubak, L. and Hellesland, J. (2007b), "Semi-analytical postbuckling and strength analysis of arbitrarily stiffened plates in local and global bending", Thin-Wall. Struct., 45(6), 620-633. https://doi.org/10.1016/j.tws.2007.04.011
  8. Brubak, L. and Hellesland, J. (2008), "Strength criteria in semianalytical and large deflection analysis of stiffened plates in local and global bending", Thin-Wall. Struct., 46(12), 1382-1390 https://doi.org/10.1016/j.tws.2008.03.013
  9. Brubak, L., Hellesland, J. and Steen, E. (2007), "Semi-analytical buckling strength analysis of plates with arbitrary stiffener arrangements", J. Constr. Steel Res., 63(4), 532-543. https://doi.org/10.1016/j.jcsr.2006.06.002
  10. Chakraverty, S. and Pradhan, K.K. (2014), "Free vibration of functionally graded thin rectangular plates resting on Winkler elastic foundation with general boundary conditions using Rayleigh-Ritz method", Int. J. Appl. Mech., 6(4), 1450043. https://doi.org/10.1142/S1758825114500434
  11. Fantuzzi, N. and Tornabene, F. (2016), "Strong formulation isogeometric analysis (SFIGA) for laminated composite arbitrarily shaped plates", Compos. Part B: Eng., 96, 173-203. https://doi.org/10.1016/j.compositesb.2016.04.034
  12. Fantuzzi, N., Tornabene, F., Bacciocchi, M. and Ferreira, A.J. (2018), "On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models", J. Compos. Sci., 2(1), 16. https://doi.org/10.3390/jcs2010016
  13. Ghannadpour, S.A.M. and Kiani, P. (2018), "Nonlinear spectral collocation analysis of imperfect functionally graded plates under end-shortening", Struct. Eng. Mech., Int. J., 66(5), 557-568.
  14. Ghannadpour, S.A.M. and Ovesy, H.R. (2009a), "The application of an exact finite strip to the buckling of symmetrically laminated composite rectangular plates and prismatic plate structures", Compos. Struct., 89(1), 151-158. https://doi.org/10.1016/j.compstruct.2008.07.014
  15. Ghannadpour, S.A.M. and Ovesy, H.R. (2009b), "Exact postbuckling stiffness calculation of box section struts", Eng. Computat., 26(7), 868-893. https://doi.org/10.1108/02644400910985224
  16. Ghannadpour, S.A.M. and Shakeri, M. (2018), "Energy based collocation method to predict progressive damage behavior of imperfect composite plates under compression", Latin Am. J. Solids Struct., 15(4), e35. DOI: https://dx.doi.org/10.1590/1679-78254257
  17. Ghannadpour, S.A.M. and Mehrparvar, M. (2018), "Energy effect removal technique to model circular/elliptical holes in relatively thick composite plates under in-plane compressive load", Compos. Struct., 202, 1032-1041. https://doi.org/10.1016/j.compstruct.2018.05.026
  18. Ghannadpour, S.A.M., Ovesy, H.R. and Zia-Dehkordi, E. (2014), "An exact finite strip for the calculation of initial post-buckling stiffness of shear-deformable composite laminated plates", Compos. Struct., 108, 504-513. https://doi.org/10.1016/j.compstruct.2013.09.049
  19. Ghannadpour, S.A.M., Barvaj, A.K. and Tornabene, F. (2018), "A semi-analytical investigation on geometric nonlinear and progressive damage behavior of relatively thick laminated plates under lateral pressure and end-shortening", Compos. Struct., 194, 598-610. https://doi.org/10.1016/j.compstruct.2018.04.011
  20. Hashin, Z. and Rotem, A. (1973), "A fatigue failure criterion for fiber reinforced materials", J. Compos. Mater., 7(4), 448-464. https://doi.org/10.1177/002199837300700404
  21. Hayman, B., Berggreen, C., Lundsgaard-Larsen, C., Delarche, A., Toftegaard, H., Dow, R.S., Downes, J., Misirlis, K., Tsouvalis, N. and Douka, C. (2011), "Studies of the buckling of composite plates in compression", Ships Offshore Struct., 6(1-2), 81-92. https://doi.org/10.1080/17445302.2010.528283
  22. Jiang, G., Li, F. and Zhang, C. (2018), "Postbuckling and nonlinear vibration of composite laminated trapezoidal plates", Steel Compos. Struct., Int. J., 26(1), 17-29.
  23. Jin, Z-H. and Batra, R.C. (1999), "Thermal shock cracking in a metal-particle-reinforced ceramic matrix composite", Eng. Fract. Mech., 62, 339-350 . https://doi.org/10.1016/S0013-7944(98)00112-X
  24. Kamareh, F., Farrokhabadi, A. and Rahimi, G. (2018), "Experimental and numerical investigation of skin/lattice stiffener debonding growth in composite panels under bending loading", Eng. Fract. Mech., 190, 471-490. https://doi.org/10.1016/j.engfracmech.2017.12.043
  25. Mahieddinet, A., Ouali, M. and Mazouz, A. (2015), "Modeling and simulation of partially delaminated composite beams", Steel Compos. Struct., Int. J., 18(5), 1119-1127. https://doi.org/10.12989/scs.2015.18.5.1119
  26. Mehrparvar, M. and Ghannadpour, S.A.M. (2018), "Plate assembly technique for nonlinear analysis of relatively thick functionally graded plates containing rectangular holes subjected to in-plane compressive load", Compos. Struct., 202, 867-880. https://doi.org/10.1016/j.compstruct.2018.04.053
  27. Muthusamy, P. and Sivakumar, S.M. (2014), "A constituentbehavior-motivated model for damage in fiber reinforced composites", Computat. Mater. Sci., 94, 163-172. https://doi.org/10.1016/j.commatsci.2014.03.048
  28. Naghsh, A., Azhari, M. and Saadatpour, M.M. (2018), "Thermal buckling analysis of point-supported laminated composite plates in unilateral contact", Appl. Math. Model., 56, 564-583. https://doi.org/10.1016/j.apm.2017.12.020
  29. Ovesy, H.R. and Ghannadpour, S.A.M. (2011), "An exact finite strip for the nitial postbuckling analysis of channel section struts", Comput. Struct. 89(19), 1785-1796. https://doi.org/10.1016/j.compstruc.2010.10.009
  30. Ovesy, H.R., Ghannadpour, S.A.M. and Morada, G. (2005), "Geometric non-linear analysis of composite laminated plates with initial imperfection under end shortening, using two versions of finite strip method", Compos. Struct., 71(3), 307-314. https://doi.org/10.1016/j.compstruct.2005.09.030
  31. Ovesy, H.R., Ghannadpour, S.A.M. and Nassirnia, M. (2015), "Post-buckling analysis of rectangular plates comprising Functionally Graded Strips in thermal environments", Comput. Struct., 147, 209-215. https://doi.org/10.1016/j.compstruc.2014.09.011
  32. Paik, S., Gupta, S.S. and Batra, R.C. (2015), "Localization of buckling modes in plates and laminates", Compos. Struct., 120, 79-89. https://doi.org/10.1016/j.compstruct.2014.09.035
  33. Patel, S.N. (2014), "Nonlinear bending analysis of laminated composite stiffened plates", Steel Compos. Struct., Int. J., 17(6), 867-890. https://doi.org/10.12989/scs.2014.17.6.867
  34. Su, Z.C., Tay, T.E., Ridha, M. and Chen, B.Y. (2015), "Progressive damage modeling of open-hole composite laminates under compression", Compos. Struct., 122, 507-517. https://doi.org/10.1016/j.compstruct.2014.12.022
  35. Sun, Y., Li, S.R. and Batra, R.C. (2016), "Thermal buckling and post-buckling of FGM Timoshenko beams on nonlinear elastic foundation", J. Thermal Stress., 39(1), 11-26. https://doi.org/10.1080/01495739.2015.1120627
  36. Topal, U. (2013), "Application of a new extended layerwise approach to thermal buckling load optimization of laminated composite plates", Steel Compos. Struct., Int. J., 14(3), 283-293. https://doi.org/10.12989/scs.2013.14.3.283
  37. Tornabene, F., Fantuzzi, N. and Bacciocchi, M. (2017), "Linear static behavior of damaged laminated composite plates and shells", Materials, 10(7), 811, 1-52. https://doi.org/10.3390/ma10070811
  38. Tornabene, F., Fantuzzi, N., Bacciocchi, M. and Viola, E. (2018), "Mechanical behavior of damaged laminated composites plates and shells: higher-order shear deformation theories", Compos. Struct., 189, 304-329. https://doi.org/10.1016/j.compstruct.2018.01.073
  39. Vedrtnam, A. and Pawar, S.J. (2017), "Laminated Plate Theories and Fracture of Laminated Glass Plate-A Review", Eng. Fract. Mech., 186, 316-330 . https://doi.org/10.1016/j.engfracmech.2017.10.020
  40. Vu, T.V., Khosravifard, A., Hematiyan, M.R. and Bui, T.Q. (2018), "A new refined simple TSDT-based effective meshfree method for analysis of through-thickness FG plates", Appl. Math. Model., 57, 514-534. https://doi.org/10.1016/j.apm.2018.01.004
  41. Yang, Q.J. and Hayman, B. (2015a), "Prediction of post-buckling and ultimate compressive strength of composite plates by semianalytical methods", Eng. Struct., 84, 42-53. https://doi.org/10.1016/j.engstruct.2014.11.013
  42. Yang, Q.J. and Hayman, B. (2015b), "Simplified ultimate strength analysis of compressed composite plates with linear material degradation", Compos. Part B: Eng., 69, 13-21. https://doi.org/10.1016/j.compositesb.2014.09.016
  43. Yang, Q.J., Hayman, B. and Osnes, H. (2013), "Simplified buckling and ultimate strength analysis of composite plates in compression", Compos. Part B: Eng., 54, 343-352. https://doi.org/10.1016/j.compositesb.2013.05.017
  44. Zhang, Y.X. and Yang, C.H. (2009), "Recent developments in finite element analysis for laminated composite plates", Compos. Struct., 88(1), 147-157. https://doi.org/10.1016/j.compstruct.2008.02.014