The buckling delamination problem for a rectangular composite plate with a rectangular inner crack subjected to biaxial compressive forces is considered. It is assumed that the plate considered is simply supported at all its lateral sides, to which uniformly distributed compressive forces are applied. It is also supposed that the surfaces of crack faces have initial infinitesimal imperfections before loading of the plate. The evolution of these imperfections under the action of the biaxial compressive forces is studied within the scope of the threedimensional geometrically nonlinear field equations of the theory of elasticity for anisotropic bodies. For determining the critical buckling delamination force and the buckling delamination mode of the plate considered, an initial imperfection criterion is used. For solution of the corresponding boundary-value problems, the boundary-form perturbation technique and the 3D FEM are employed. Numerical results illustrating the influence of the materials and geometrical parameters of the plate on the critical force are presented and discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. M. Kachanov, “Separation failure of composite materials,” Polymer Mechanics, 12, No. 5, 812–815 (1976).
K. F. Nilsson, J.C. Thesken, P. Sinderar, A.E. Giannakopoulos, and B. Stoakers, “A theoretical and experimental investigation of buckling induced delamination growth,” J. Mech. Phys. Solids. 41, 749–782 (1993).
J. T. Wang, S. H. Cheng, and C. C. Liu, “Local buckling of delaminated beams and plates using continuous analysis,” J. Compos. Mater, 29, 1374–1402 (1995).
V. V. Bolotin, “Delaminations in composite structures: its origins, buckling, growth and stability,” Composites: Pt B, 27B:129–145 (1996).
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Berlin, Springer-Verlag (1999).
A. N. Guz and V. M. Nazarenko, “Fracture mechanics of materials in compression along a crack, highly elastic materials,” Int. Appl. Mechanics, 25, No. 9, 3–32 (1989).
A. N. Guz and V. M. Nazarenko, “Fracture mechanics of materials in compression along a crack constructional materials,” Int. Appl.Mechanics, 25, No. 10, 3–19 (1989).
A. N. Guz, M. N. Dyshel, and V. M. Nazarenko, “Fracture and stability of materials with cracks: approaches and results,” Int. Appl. Mech., 40, No. 12, 1323–1359 (2004).
S. D. Akbarov, “On the three dimensional stability loss problems of elements of constructions fabricated from the viscoelastic composite materials,” Mech. Compos. Mater., 34, No. 6, 537–544 (1998).
S. D. Akbarov, “Three-dimensional instability problems for viscoelastic composite materials and structural members,” Int. Appl. Mech. 43, No. 10, 1069–1089 (2007).
S. D. Akbarov, T. Sisman, and N. Yahnioglu, “On the fracture of the unidirectional composites in compression,” Int. J. of Eng. Sci., 35, No. 12/13, 1115–1136 (1997).
S. D. Akbarov and N. Yahnioglu, “The method for investigation of the general theory of stability problems of structural elements fabricated from the viscoelastic composite materials,” Composites: Pt B: Engineering, 32, No. 5, 475–482 (2001).
S. D. Akbarov and O. G. Rzayev, “Delamination of unidirectional viscoelastic composite materials,” Mech. Compos. Mater., 38, No. 1, 17–24 (2002).
S. D. Akbarov and O. G. Rzayev, “On the buckling of the elastic and viscoelastic composite circular thick plate with a penny-shaped crack,” Eur. J. of Mechanics A/Solids, 21, No. 2, 269–279 (2002).
S. D. Akbarov and O. G. Rzayev, “On the delamination of a viscoelastic composite circular plate,” Int. Appl. Mech., 39, No. 3, 368–374 (2003).
O. G. Rzayev and S. D. Akbarov, “Local buckling of the elastic and viscoelastic coating around the penny-shaped interface crack,” Int. J. of Eng. Sci., 40, 1435–1451 (2002).
S. D. Akbarov, N. Yahnioglu, and E. E. Karatas, “Buckling delamination of a rectangular plate containing a rectangular crack and made from elastic and viscoelastic composite materials,” Int. J. of Solids and Structures, 47, 25-26, 3426–3434 (2010).
R. M. Christensen, Mechanics of Composite Materials, Wiley, N. Y. (1979).
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 49, No. 6, pp. 881-894 , November-December, 2013.
Rights and permissions
About this article
Cite this article
Akbarov, S.D., Yahnioglu, N. & Karatas, E.E. A 3D FEM Analysis of Buckling Delamination of a Rectangular Plate with an Inner Rectangular Crack under a Biaxial Compressive Force. Mech Compos Mater 49, 585–594 (2014). https://doi.org/10.1007/s11029-013-9375-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-013-9375-x