A New Method to Investigate the Progressive Damage of Imperfect Composite Plates Under In-Plane Compressive Load

Document Type : Research Article

Authors

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

Abstract

Numerous studies have been conducted for failure criteria of fiber reinforced composites.
The aim of this study is to present a new computational and mathematical method to analyze the
progressive damage and failure behavior of composite plates containing initial geometric imperfections
under uniaxial in-plane compression load. A new methodology is presented based on collocation method
in which the interested domain is discretized with Legendre-Gauss-Lobatto nodes. In order to avoid an
excessive number of nodes, an appropriate weight coefficient is considered for each node. The method is
based on the first order shear deformation theory and small displacement theory. Several failure criteria,
including Maximum stress, Hashin and Tsai-Hill, are used to predict the failure mechanisms. The stiffness
degradation is carried out by instantaneous and complete ply degradation model. Two different types of
boundary conditions are considered in this study. The effects of thickness, initial imperfections, and
boundary conditions are studied, as well. The results are compared with the previously published data.
It is found that the boundary conditions have significant effects on the ultimate strength of imperfect
composite plates.

Highlights

[1] S. Dong, K. Pister, R. Taylor, On the theory of laminated anisotropic shells and plates, Journal of the Aerospace Sciences, 29(8) (1962) 969-975.

[2] P.C. Yang, C.H. Norris, Y. Stavsky, Elastic wave propagation in heterogeneous plates, International Journal of solids and structures, 2(4) (1966) 665-684.

[3] Whitney, The effect of transverse shear deformation on the bending of laminated plates, Journal of Composite Materials, 3(3) (1969) 534-547.

[4] J. Whitney, N. Pagano, Shear deformation in heterogeneous anisotropic plates, Journal of applied mechanics, 37(4) (1970) 1031-1036.

[5] G.J. Turvey, I.H. Marshall, Buckling and postbuckling of composite plates, Springer Science & Business Media, 2012.

[6] J. Argyris, L. Tenek, Recent advances in computational thermostructural analysis of composite plates and shells with strong nonlinearities, Applied Mechanics Reviews, 50 (1997) 285-306.

[7] Finite strip method in structural analysis. Pergamon press, (1976) 26

[8] T.G. Smith, S. Sridharan, A finite strip method for the buckling of plate structures under arbitrary loading, International Journal of Mechanical Sciences, 20(10) (1978) 685-693.

[9] H. Ovesy, S. Ghannadpour, G. Morada, Geometric non-linear analysis of composite laminated plates with initial imperfection under end shortening, using two versions of finite strip method, Composite structures, 71(3) (2005) 307-314.

[10] H. Ovesy, J. Loughlan, S. GhannadPour, Geometric non-linear analysis of channel sections under end shortening, using different versions of the finite strip method, Computers & structures, 84(13) (2006) 855-872.

[11] H. Ovesy, E. Zia-Dehkordi, S. Ghannadpour, High accuracy post-buckling analysis of moderately thick composite plates using an exact finite strip, Computers & Structures, 174 (2016) 104-112.

[12] R, Liu. Meshfree methods: moving beyond the finite element method. Taylor & Francis, (2009)

[13] K. Liew, Y. Huang, Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method, International Journal of Mechanical Sciences, 45(1) (2003) 95-114.

[14] K. Liew, J. Wang, M. Tan, S. Rajendran, Postbuckling analysis of laminated composite plates using the mesh-free kp-Ritz method, Computer methods in applied mechanics and engineering, 195(7) (2006) 551-570

[15] K.M. Liew, X. Zhao, A.J. Ferreira, A review of meshless methods for laminated and functionally graded plates and shells, Composite Structures, 93(8) (2011) 2031-2041.

[16] S. Ghannadpour, M. Barekati, Initial imperfection effects on postbuckling response of laminated plates under end-shortening strain using Chebyshev techniques, Thin-Walled Structures, 106 (2016) 484-494.

[17] N. Jaunky, D.R. Ambur, C.G. Dávila, M. Hilburger, D.M. Bushnell, Progressive failure studies of composite panels with and without cutouts, (2001).

[18] L. Brubak, J. Hellesland, E. Steen, Semi-analytical buckling strength analysis of plates with arbitrary stiffener arrangements, Journal of Constructional Steel Research, 63(4) (2007) 532-543.

[19] L. Brubak, J. Hellesland, Approximate buckling strength analysis of arbitrarily stiffened, stepped plates, Engineering Structures, 29(9) (2007) 2321-2333.

[20] L. Brubak, J. Hellesland, Semi-analytical postbuckling and strength analysis of arbitrarily stiffened plates in local and global bending, Thin-Walled Structures, 45(6) (2007) 620-633.

[21] L. Brubak, J. Hellesland, Strength criteria in semi-analytical, large deflection analysis of stiffened plates in local and global bending, Thin-Walled Structures, 46(12) (2008) 1382-1390.

[22] A. Orifici, R. Thomson, R. Degenhardt, A. Kling, K. Rohwer, J. Bayandor, Degradation investigation in a postbuckling composite stiffened fuselage panel, Composite Structures, 82(2) (2008) 217-224.

[23] B. Hayman, C. Berggreen, C. Lundsgaard-Larsen, A. Delarche, H. Toftegaard, R. Dow, J. Downes, K. Misirlis, N. Tsouvalis, C. Douka, Studies of the buckling of composite plates in compression, Ships and Offshore Structures, 6(1-2) (2011) 81-92.

[24] Q.J. Yang, B. Hayman, H. Osnes, Simplified buckling and ultimate strength analysis of composite plates in compression, Composites Part B: Engineering, 54 (2013) 343-352.

[25] Q.J. Yang, B. Hayman, Prediction of post-buckling and ultimate compressive strength of composite plates by semi-analytical methods, Engineering Structures, 84 (2015) 42-53.

[26] Q.J. Yang, B. Hayman, Simplified ultimate strength analysis of compressed composite plates with linear material degradation, Composites Part B: Engineering, 69 (2015) 13-21.

[27] J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis. CRC press. (2004)

[28] E.J. Barbero, Introduction to Composite Materials Design. Taylor & Francis. (1998)

                        

Keywords

References

[1] S. Dong, K. Pister, R. Taylor, On the theory of laminated anisotropic shells and plates, Journal of the Aerospace Sciences, 29(8) (1962) 969-975.
[2] P.C. Yang, C.H. Norris, Y. Stavsky, Elastic wave propagation in heterogeneous plates, International Journal of solids and structures, 2(4) (1966) 665-684.
[3] Whitney, The effect of transverse shear deformation on the bending of laminated plates, Journal of Composite Materials, 3(3) (1969) 534-547.
[4] J. Whitney, N. Pagano, Shear deformation in heterogeneous anisotropic plates, Journal of applied mechanics, 37(4) (1970) 1031-1036.
[5] G.J. Turvey, I.H. Marshall, Buckling and postbuckling of composite plates, Springer Science & Business Media, 2012.
[6] J. Argyris, L. Tenek, Recent advances in computational thermostructural analysis of composite plates and shells with strong nonlinearities, Applied Mechanics Reviews, 50 (1997) 285-306.
[7] Finite strip method in structural analysis. Pergamon press, (1976) 26
[8] T.G. Smith, S. Sridharan, A finite strip method for the buckling of plate structures under arbitrary loading, International Journal of Mechanical Sciences, 20(10) (1978) 685-693.
[9] H. Ovesy, S. Ghannadpour, G. Morada, Geometric non-linear analysis of composite laminated plates with initial imperfection under end shortening, using two versions of finite strip method, Composite structures, 71(3) (2005) 307-314.
[10] H. Ovesy, J. Loughlan, S. GhannadPour, Geometric non-linear analysis of channel sections under end shortening, using different versions of the finite strip method, Computers & structures, 84(13) (2006) 855-872.
[11] H. Ovesy, E. Zia-Dehkordi, S. Ghannadpour, High accuracy post-buckling analysis of moderately thick composite plates using an exact finite strip, Computers & Structures, 174 (2016) 104-112.
[12] R, Liu. Meshfree methods: moving beyond the finite element method. Taylor & Francis, (2009)
[13] K. Liew, Y. Huang, Bending and buckling of thick symmetric rectangular laminates using the moving least-squares differential quadrature method, International Journal of Mechanical Sciences, 45(1) (2003) 95-114.
[14] K. Liew, J. Wang, M. Tan, S. Rajendran, Postbuckling analysis of laminated composite plates using the mesh-free kp-Ritz method, Computer methods in applied mechanics and engineering, 195(7) (2006) 551-570
[15] K.M. Liew, X. Zhao, A.J. Ferreira, A review of meshless methods for laminated and functionally graded plates and shells, Composite Structures, 93(8) (2011) 2031-2041.
[16] S. Ghannadpour, M. Barekati, Initial imperfection effects on postbuckling response of laminated plates under end-shortening strain using Chebyshev techniques, Thin-Walled Structures, 106 (2016) 484-494.
[17] N. Jaunky, D.R. Ambur, C.G. Dávila, M. Hilburger, D.M. Bushnell, Progressive failure studies of composite panels with and without cutouts, (2001).
[18] L. Brubak, J. Hellesland, E. Steen, Semi-analytical buckling strength analysis of plates with arbitrary stiffener arrangements, Journal of Constructional Steel Research, 63(4) (2007) 532-543.
[19] L. Brubak, J. Hellesland, Approximate buckling strength analysis of arbitrarily stiffened, stepped plates, Engineering Structures, 29(9) (2007) 2321-2333.
[20] L. Brubak, J. Hellesland, Semi-analytical postbuckling and strength analysis of arbitrarily stiffened plates in local and global bending, Thin-Walled Structures, 45(6) (2007) 620-633.
[21] L. Brubak, J. Hellesland, Strength criteria in semi-analytical, large deflection analysis of stiffened plates in local and global bending, Thin-Walled Structures, 46(12) (2008) 1382-1390.
[22] A. Orifici, R. Thomson, R. Degenhardt, A. Kling, K. Rohwer, J. Bayandor, Degradation investigation in a postbuckling composite stiffened fuselage panel, Composite Structures, 82(2) (2008) 217-224.
[23] B. Hayman, C. Berggreen, C. Lundsgaard-Larsen, A. Delarche, H. Toftegaard, R. Dow, J. Downes, K. Misirlis, N. Tsouvalis, C. Douka, Studies of the buckling of composite plates in compression, Ships and Offshore Structures, 6(1-2) (2011) 81-92.
[24] Q.J. Yang, B. Hayman, H. Osnes, Simplified buckling and ultimate strength analysis of composite plates in compression, Composites Part B: Engineering, 54 (2013) 343-352.
[25] Q.J. Yang, B. Hayman, Prediction of post-buckling and ultimate compressive strength of composite plates by semi-analytical methods, Engineering Structures, 84 (2015) 42-53.
[26] Q.J. Yang, B. Hayman, Simplified ultimate strength analysis of compressed composite plates with linear material degradation, Composites Part B: Engineering, 69 (2015) 13-21.
[27] J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis. CRC press. (2004)
[28] E.J. Barbero, Introduction to Composite Materials Design. Taylor & Francis. (1998)
                         
AUT Journal of Mechanical Engineering
Volume 1, Issue 2
December 2017
Pages 159-168

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