The problem of local buckling delamination around interface edge cracks in a sandwich PZT/Metal/PZT rectangular thick plate is studied within the scope of the 3D linearized buckling instability theory. Crack faces have an insignificant initial imperfection, and the plate is compressed by uniformly distributed normal forces acting on two opposite ends of the plate. The evolution of the initial imperfection is investigated, and the critical buckling forces for the plate are found. A mathematical modeling of the problem considered is performed using the 3D exact geometrically nonlinear electroelasticity theory within the framework of a piecewise homogeneous body model. The corresponding boundary-value problems are solved numerically by employing a 3D finiteelement method. Numerical results for the critical forces and the effect problem parameters on these forces are presented and discussed.
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S. D. Akbarov, “Buckling delamination of elastic and viscoelastic composite plates with cracks. Survey I: solution method and problems related to the plane strain state,” Mech. Compos. Mater., 48, No. 6, 681-692 (2013).
S. D. Akbarov, “Buckling delamination of elastic and viscoelastic composite plates with cracks: Survey II (Axisymmetric and 3D problems),” Mech. Compos. Mater., 49, No. 1, 97-106 (2013).
S. D. Akbarov, Stability Loss and Buckling Delamination: Three-Dimensional Linearized Approach for Elastic and Viscoelastic Composites, Springer Heidelberg, New York (2013).
S. S. Rao and M. Sunar, “Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey,” Appl. Mech. Rev., 47, 113-123 (1994).
J. S. Yang, “Buckling of a piezoelectric plate,” Int. J. Appl. Electrmagn. Mech., 9, 399-408 (1998).
Y. T. Hu, J. S. Yang, and Q. Jiang, “A model for electroelastic plates under biasing fields with applications in buckling analysis,” Int. J. Solids Struct., 39, 2629-2642 (2002).
G. Giannopoulos, F. Santafe, and J. Vantomme, “Thermal, electrical, mechanical coupled mechanics for initial buckling analysis of smart plates and beams using discrete layer kinematics,” Int. J. Solids Struct., 44, 4707-4722 (2007).
R. Jerome and N. Ganesan, “New generalized plane strain FE formulation for the buckling analysis of piezocomposite beam,” Finite Elem. Anal. Des., 46, 896-904 (2010).
S. D. Akbarov and N. Yahnioglu, “Buckling delamination of a sandwich plate-strip with piezoelectric face and elastic core layers,” Appl. Math.Model., 37, 8029-8038 (2013).
F. I. Cafarova, S. D. Akbarov, and N. Yahnioglu, “Buckling delamination of the PZT/Metal/PZT sandwich circular plate-disc with penny-shaped interface cracks,” Smart Structures and Systems, 19, No. 2, 163-179 (2017).
F. Aylikci, S. D. Akbarov, and N. Yahnioglu, “Buckling delamination of a PZT/Metal/PZT sandwich rectangular thick plate containing interface inner band cracks,” Composite Structures, 208, 9-16 (2018).
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. Solids Struct., 47, 3426-3434 (2010).
S. D. Akbarov, N. Yahnioglu, and A. Tekin, “3D FEM analyses of the buckling delamination of a rectangular sandwich plate containing interface rectangular cracks and made from elastic and viscoelastic materials,” CMES-Comput. Model. Eng. Sci., 64, 147-185 (2010).
J. Yang, An Introduction to the Theory of Piezoelectricity, Springer, 2005.
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer – Verlag, Berlin, (1999).
O. C. Zienkiewicz, R. L. Taylor, The Finite Element Method, Basic Formulation and Linear Problems, 4-th ed., vol.1, McGraw-Hill Book Company, London, 1989.
A. N. Guz, Elastic Waves in Bodies with Initial (Residual) Stresses [in Russian], “A. C. K.”, Kiev, (2004)
N. J. Hoff, “Buckling and stability,” J. Roy Aeron Soc., 58, 1-10 (1954).
A. S. Volmir, Stability of Deformable Systems [in Russian], Nauka, Moscow, (1967).
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Aylikci, F., Akbarov, S.D. & Yahnioglu, N. 3D FEM Analysis of Buckling Delamination of a Piezoelectric Sandwich Rectangular Plate with Interface Edge Cracks. Mech Compos Mater 55, 797–810 (2020). https://doi.org/10.1007/s11029-020-09851-z
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DOI: https://doi.org/10.1007/s11029-020-09851-z