journal article·1999-10-01

The Effect of Transverse Shear on the Postbuckling and Growth Characteristics of Delaminations in Composites

Catherine H. Ferrie, Izhak Sheinman, George A. Kardomateas

Publisher page

Abstract

A geometrically nonlinear formulation for the behavior of composite delaminated beams of arbitrary stacking sequence, and with the effects of transverse shear deformation included, is presented. The formulation is based on a first-order shear deformation kinematic model, which incorporates the bending-stretching coupling effect and also assumes an arbitrary initial imperfection. The nonlinear differential equations are solved by Newton’s method using a finite-difference scheme. The growth of the delamination is also studied by applying the J-integral in order to derive a formula for the energy release rate, which includes transverse shear. Results are presented which illustrate the shear effect, especially with respect to the ratio of the in-plane extensional over shear modulus and with respect to the ratio of plate length over thickness. It is seen that transverse shear can affect largely the displacement profiles, rendering the structure more compliant, and can promote growth by increasing the energy release rate, but this latter effect is moderate and mainly noticable only at the later stages in the postbuckling regime.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Composite Structure Analysis and Optimization · Structural Behavior of Reinforced Concrete · Structural Load-Bearing Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150

References (23)

Show source-provided references
1. Calcote, L. R., 1966, The Analysis of Laminated Composite Structures, Van Nostrand Reinhold, New York, N.Y.
2. Davidson B. D. , and FerrieC. H., 1994, “Effect of Stretching-Shearing Coupling on Instability-Related Delamination Growth,” Composite Structures, Vol. 29, pp. 383–392.10.1016/0263-8223(94)90106-6 ↗
3. Hellan Ka˚re, 1984, Introduction to Fracture Mechanics, McGraw-Hill, New York.
4. Hutchinson, J. W., and Suo, Z., 1992, “Mixed Mode Cracking in Layered Materials,” Advances in Applied Mechanics, Academic Press, Vol. 29, pp. 63–191.10.1016/S0065-2156(08)70164-9 ↗
5. Kardomateas G. A. , 1993, “The Initial Postbuckling and Growth Behavior of Internal Delaminations in Composite Plates,” ASME Journal of Applied Mechanics, Vol. 60, pp. 903–910.10.1115/1.2901000 ↗
6. Kardomateas G. A. , and SchmueserD. W., 1988, “Buckling and Postbuckling of Delaminated Composites Under Compressive Loads Including Transverse Shear Effects,” AIAA Journal, Vol. 26, pp. 337–343.10.2514/3.9894 ↗
7. Lo K. H. , ChristensenR. M., and WuE. M., 1977, “A High-Order Theory of Plate Deformation—Part 1: Homogeneous Plates: Part 2: Laminated Plates,” ASME Journal of Applied Mechanics, Vol. 73, pp. 31–38.
8. Mindlin R. D. , 1951, “Influence of Rotary Inertia and Shear on Flexural Motions of Isotropic Elastic Plates,” ASME Journal of Applied Mechanics, Vol. 73, pp. 31–38.10.1115/1.4010217 ↗
9. Nelson R. B. , and LorchD. R., 1974, “A Refined Theory of Laminated Orthotropic Plates,” ASME Journal of Applied Mechanics, Vol. 96, pp. 177–183.10.1115/1.3423219 ↗
10. Pelegri, A. A., and Kardomateas, G. A., 1998, “Intralayer Cracking in Delaminated Glass/Epoxy and Graphite/Epoxy Laminates Under Cyclic or Monotonic Loading,” Proceedings, 39th AIAA/ASME/ASCE/HAS/ASC SDM Conference, Apr. 20–23, Long Beach, CA. pp. 1534–1544 (paper no. AIAA-98-1879).10.2514/6.1998-1879 ↗
11. Reissner E. , 1975, “On Transverse Bending of Plates, Including the Effects of Transverse Shear Deformation,” Int. J. Solids and Structures, Vol. 11, pp. 569–573.10.1016/0020-7683(75)90030-X ↗
12. Reissner E. , and StavskyY., 1961, “Bending and Stretching of Certain Types of Heterogeneous Aelotropic Elastic Plates,” ASME Journal of Applied Mechanics, Vol. 28, p. 402402.10.1115/1.3641719 ↗
13. Sheinman I. , and SofferM., 1991, “Post-Buckling Analysis of Composite Delaminated Beams,” Int. J. Solids Structures, Vol. 27, No. 5, pp. 639–646.10.1016/0020-7683(91)90218-5 ↗
14. Sheinman I. , and AdanM., 1987, “The Effect of Shear Deformation on Post-Buckling Behavior of Laminated Beams,” ASME Journal of Applied Mechanics, Vol. 54, pp. 558–562.10.1115/1.3173069 ↗
15. Sheinman I. , 1989, “Cylindrical Buckling Load of Laminated Columns,” Journal of Engineering Mechanics (ASCE), Vol. 115, pp. 659–661.10.1061/(ASCE)0733-9399(1989)115:3(659) ↗
16. Sheinman I. , and KardomateasG. A., 1997, “Energy Release Rate and Stress Intensity Factors for Delaminated Composite Laminates,” Int. J. Solids Structures, Vol. 34, No. 4, pp. 451–459.10.1016/S0020-7683(96)00018-2 ↗
17. Sheinman I. , and SimitsesG. J., 1984, “A Modification of Potter’s Method for Diagonal Matrices with Common Unknown,” Composites and Structures, Vol. 18, pp. 273–275.10.1016/0045-7949(84)90125-1 ↗
18. Sih G. C. , ParisP. C., and IrwinG. R., 1965, “On Cracks in Rectilinearly Anisotropic Bodies,” Int. J. Fracture Mech., Vol. 1, pp. 189–203.10.1007/BF00186854 ↗
19. Suo Z. , 1990, “Delamination Specimens for Orthotropic Materials,” ASME Journal of Applied Mechanics, Vol. 57, pp. 627–634.10.1115/1.2897068 ↗
20. Tene Y. , EpsteinM., and SheinmanI., 1974, “A Generalization of Potter’s Method,” Composites and Structures, Vol. 4, pp. 1099–1103.10.1016/0045-7949(74)90026-1 ↗
21. Thurston G. A. , 1965, “Newton’s Method Applied to Problems in Nonlinear Mechanics,” ASME Journal of Applied Mechanics, Vol. 87, pp. 383–388.10.1115/1.3625811 ↗
22. Whitney J. M. , and PaganoN. J., 1970, “Shear Deformation in Heterogeneous Anisotropic Plates,” ASME Journal of Applied Mechanics, Vol. 37, pp. 1031–1036.10.1115/1.3408654 ↗
23. Yin W.-L. , 1988, “The Effects of Laminated Structure on Delamination Buckling and Growth,” J. Comp. Master., Vol. 22, pp. 502–517.10.1177/002199838802200601 ↗