Ultimate strength analysis of imperfect composite plates under both in-plane compressive load and lateral pressure using Ritz method

Ghannadpour, Seyyed Amir Mahdi; Kurkaani Barvaj, Abbas

doi:10.22068/jstc.2018.28555

Document Type : Research Paper

Authors

New Technologies and Engineering Department, Shahid Beheshti University, G.C, Tehran, Iran

10.22068/jstc.2018.28555

Abstract

This paper investigates the ultimate strength analysis of imperfect composite plates under both in-plane compressive load and lateral pressure using Ritz method. In this study, the first order shear deformation plate theory has been applied and the small deflection theory is also considered therefore the obtained results for thin plates could be a little bit off however the results for relatively thick plates are more reliable. The formulations are based on the concept of the principle of minimum potential energy. The laminates are simply supported at the loaded ends as well as the unloaded edges. The in-plane lateral expansion is allowed for all edges however they are kept straight. To investigate the failure analysis, Hashin failure criterion has been applied and also two different models for degradation of stiffness has been used. The first model is complete-ply stiffness degradation model that apply the degradation of properties to the whole ply, and the second is regional stiffness degradation model which degrade the properties of that region. The instantaneous degradation of material properties is used for failed ply or region of failed ply. In addition to find the first and last ply failure loads, the number of failed plies and coordinates of failure points in first and last plies has been obtained. Finally, the results obtained by the proposed method have been validated by results available in the literature.

Keywords

Main Subjects

Composite structures

References

[1] Agarwal, B. D. Broutman, L. J. Chandrashekhara, K., “Analysis and Performance of Fiber Composites.” 3rd ed. USA, Wiley, 2006.

[2] Reddy, J. N., “Mechanics of Laminated Composite Plates and Shells.” 2^nd ed. USA, CRC Press, 2004.

[3] Turvey G. J. and Marshall, I. M., “Buckling and Postbuckling of Composite Plates.” 1^st ed. UK, Chapman & Hall, 1995.

[4] Brubak, L. Hellesland, J. Steen, E., “Semi-analytical Buckling Strength Analysis of Plates with Arbitrary Stiffener Arrangements” J Constr Steel Res, Vol. 63(4):532–543, 2007.

[5] Brubak, L. Hellesland, J., “Approximate Buckling Strength Analysis of Arbitrarily Stiffened and Stepped Plates” Eng struct, Vol. 29(9):2321–2333, 2007.

[6] Brubak, L. Hellesland, J., “Semi-analytical Postbuckling and Strength Analysis of Arbitrarily Stiffened Plates in Local and Global Bending” Thin-Walled Struct, Vol. 45(6):620–633, 2007.

[7] Brubak, L. Hellesland, J., “Strength Criteria in Semi-analytical and Large Deflection Analysis of Stiffened Plates in Local and Global Bending” Thin-Walled Struct, Vol. 46(12):1382–1390, 2008.

[8] Brubak, L. Hellesland J., “Semi-analytical Postbuckling Analysis of Stiffened Imperfect Plates with a Free or Stiffened Edge” Comput Struct, Vol. 89: 1574–1585, 2011.

[9] Hayman, B. Berggreen, C. Lundsgaard-Larsen, C. Delarche, A. Toftegaard, H. Dow, R. S. and et al., “Studies of the Buckling of Composite Plates in Compression” Ships Offshore Struct; Vol. 6(1–2): 81–92, 2011.

[10] Yang, Q. J. Hayman, B. Osnes, H., "Simplified Buckling and Ultimate Strength Analysis of Composite Plates in Compression" Composites Part B: Engineering, Vol. 54, 343-352, 2013.

[11] Shokrieh, M. M. Ghajar, M. Salamattalab, M. and Madoliat, R., “Progressive Damage Modeling of Laminated Composites by Considering Simultaneous Effects of Interlaminar and Intralaminar Damage Mechanisms” Journal of Science and Technology of Composites, Vol. 2, No. 2, pp. 1-8, 2015. (In Persian)

[12] Su ZC, Tay TE, Ridha M, Chen BY. Progressive damage modeling of open-hole composite laminates under compression. Composite Structures, Vol. 30; 122:507-17, 2015.

[13] Li X, Gao W, Liu W. Post-buckling progressive damage of CFRP laminates with a large-sized elliptical cutout subjected to shear loading. Composite Structures, Vol. 15, 128, 313-21, 2015.

[14] Hashin, Z. Rotem, A., “A Fatigue Failure Criterion for Fiber Reinforced Materials.” J Compos Mater, Vol. 7, 448–464, 1973.

Ultimate strength analysis of imperfect composite plates under both in-plane compressive load and lateral pressure using Ritz method

References

Volume 5, Issue 1June 2018Pages 1-10

Volume 5, Issue 1
June 2018
Pages 1-10