Buckling delamination around interface cracks in a rectangular sandwich plate with isotropic, homogeneous layers under biaxial loading is investigated. The plate contains two embedded rectangular interface cracks whose edges have insignificant initial imperfections. The evolution of the imperfections is examined by utilizing the three-dimensional geometrically nonlinear equations of elasticity theory. To solve the corresponding nonlinear problems, the boundary perturbation method and the 3D FEM is employed. According to an initial imperfection criterion, the critical forces are determined. Numerical results are presented for the case where the material of the core layer is stiffer than those of face layers.
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S. D. Akbarov, N. Yahnioglu, and A. Tekin, “3D FEM analyses of the buckling delamination in a rectangular plate containing rectangular interface cracks and made from elastic and viscoelastic materials,” CMES-Computer Modeling in Engineering Sci., 64, No. 2, 147–185 (2010).
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, 3426–3434 (2010).
A. N. Guz and V. M. Nazarenko, “Theory of near-surface delamination of composite materials under compression along a macrocrack,” Mech. Comp. Mater., 21, No. 5, 826–833 (1985a).
A. N. Guz and V. M. Nazarenko, “Symmetric failure of a half-space with a penny-shaped crack in compression,” Theor. Appl. Fract. Mech., 3, 233–245 (1985).
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Berlin Heidelberg, Springer-Verlag, (1999).
A. N. Guz, Fundamentals of the Compressive Fracture Mechanics of Composites: Fracture in the Structure of Materials, Vol. 1. Litera, Kiev (in Russian) (2008).
A. N. Guz, Fundamentals of the Compressive Fracture Mechanics of Composites: Related Mechanics of Fracture, 2, Litera, Kiev (in Russian) (2008).
V. L. Bogdanov, A. N. Guz, and V. M. Nazarenko, “Fracture of a body with a periodic set of coaxial cracks under forces directed along them: an axisymmetric problem,” Int. Appl. Mech., 45, No. 2, 111–124 (2009).
S. D. Akbarov, “On the three dimensional stability loss problems of elements of constructions fabricated from 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 unidirectional composites in compression,” Int. J. Eng. Sci., 35, Nos. 12/13, 1115–1136 (1997).
S. D. Akbarov and N. Yahnioglu, “A method for investigation of the general theory of stability problems of structural elements fabricated from viscoelastic composite materials,” Compos. Part B-Eng., 32, No. 5, 475–482 (2001).
S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites. Kluwer Academic Publishers, Dordrecht/Boston/London (2000)
S. D. Akbarov and O. G. Rzayev, “On the buckling of elastic and viscoelastic composite circular thick plates with a penny-shaped crack,” Eur. J. Mech. A-Solid, 21, No. 2, 269–279 (2002).
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 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 elastic and viscoelastic coatings around a penny-shaped interface crack,” Int. J. Eng. Sci., 40, 1435–1451(2002).
O. G. Rzayev, “Local buckling around an interfacial crack in a viscoelastic sandwich plate,” Mech. Compos. Mater., 38, No. 2, 233–242 (2002).
S. D. Akbarov and N. Yahnioglu, “Delamination buckling of a rectangular orthotropic composite plate containing a band crack,” Mechanics of Composite Materials, 46, No. 5, 493–504 (2010).
S. D. Akbarov, N. Yahnioglu, and O. G. Rzayev, “On the influence of singular-type finite elements to the critical force in studying the buckling of a circular plate with a crack,” Int. Appl. Mech., 43, No. 9, 1048–1056 (2007).
O. C. Zienkiewicz and R. L. Taylor, The Finite Element Methods: Basic Formulation and Linear Problems, Vol. 1, 4th ed., Mc Graw-Hill Book Company, Oxford (1989).
A. G. Evans and J. W. Hutchinson, “The termomechanical integrity of thin multilayers,” Acta Metal. Mater., 43, 2507–2530 (1995).
F. Gioia and M. Ortiz, “Delamination of compressed thin films,” Adv. Appl. Mech., 33, 120–192 (1997).
J. W. Hutchinson and Z. Suo, “Mixed-mode cracking in layered materials,” Adv. Appl. Mech., 29, 63–191 (1992).
K. F. Nilsson and A. E. Giannakopoulos, “A finite element analysis of configurational stability and finite growth of buckling-driven delamination,” J. Mech. Phys. Solids, 43, 1983–2021 (1995).
M. D. Thouless, H. M. Jensen, and E. G. Liniger, “Delamination from edge flaws,” Proc. Royal Soc. London A447, 271–279 (1994).
J. S. Wang and A. G. Evans, “Measurement and analysis of buckling and buckle propagation in compressed oxide layers on superally substrates,” Acta Mater., 46, 4993–5505 (1998).
A. S. Volmir, Stability of Deformable Systems, Nauka, Moscow (1967).
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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 49, No. 5, pp. 801-820, September-October, 2013.
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Akbarov, S.D., Yahnioglu, N. & Tekin, A. Buckling delamination of a rectangular sandwich plate containing inner cracks under biaxial loading. Mech Compos Mater 49, 537–550 (2013). https://doi.org/10.1007/s11029-013-9370-2
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DOI: https://doi.org/10.1007/s11029-013-9370-2