A coupled zig-zag third order theory for piezoelectric hybrid cross-ply plates

Kapuria, S. (2004) A coupled zig-zag third order theory for piezoelectric hybrid cross-ply plates Journal of Applied Mechanics, 71 (5). pp. 604-614. ISSN 0021-8936

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Official URL: http://appliedmechanics.asmedigitalcollection.asme...

Related URL: http://dx.doi.org/10.1115/1.1767170


A new zig-zag coupled theory is developed for hybrid cross-ply plates with some piezoelectric layers using third-order zig-zag approximation for the inplane displacements and sublayer wise piecewise linear approximation for the electric potential. The theory considers all electric field components and can model open and closed-circuit boundary conditions. The deflection field accounts for the transverse normal strain due to the piezoelectric d(33) coefficient. The displacement field is expressed in terms of five displacement variables (which are the same as in FSDT) and electric potential variables by satisfying exactly the conditions of zero shear stresses at the top and bottom, and their continuity at layer interfaces. The governing equations are derived from the principle of virtual work. Comparison of the Navier solutions for the simply-supported plates with the analytical three-dimensional piezoelasticity solutions establishes that the present efficient zig-zag theory is quite accurate for moderately thick plates.

Item Type:Article
Source:Copyright of this article belongs to American Society of Mechanical Engineers.
Keywords:Stress; Shear (Mechanics); Plates (Structures); Approximation; Boundary-Value Problems; Displacement; Equations; Thickness; Electric Potential; Deflection
ID Code:109819
Deposited On:31 Jan 2018 10:49
Last Modified:31 Jan 2018 10:49

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