Finite element formulation and analysis of laminated piezoelectric sandwich shells

Marimuthu, V and Raja, S and Viswanath, S and Rajesh, C (2004) Finite element formulation and analysis of laminated piezoelectric sandwich shells. Technical Report. National Aerospace Laboratories, Bangalore, India.

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In the present work, a generalized finite element procedure is formulated to model the multi functional piezoelectric materials in a sandwich construction. A nine noded deep shell element is developed using First Order Shear Deformation Theory (FSDT) to analyze the smart sandwich plate and shell structures. The element has five mechanical and four electrical degrees of freedom to represent strain field and electric field, respectively. A three-dimensional Jacobean matrix, along with an appropriate mapping function is adopted to relate the local and global coordinate systems. The non-13; homogeneous honeycomb core is idealized as a homogeneous orthotropic solid lamina using homogenization approach. The entire sandwich cross-section is then modeled as a13; single layer and the laminate properties are appropriately included. Numerical studies are subsequently carried out to validate the developed element for its capability to analyze the laminated plates and shells. As there are very limited analytical solutions available for sandwich structures,experiments are conducted to validate the developed finite element procedure. Two types of sandwich specimens are fabricated for the experimental studies. The first type is with honeycomb core, where the homogenization approach is validated. And the second set of13; specimens is made with foam material as core. Specimens are also fabricated with different core to face thickness ratios. Further, the elementx2019;s potential to model the13; electro-mechanical coupling is studied numerically for beam, plate and shell structures.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Finite element method;Honeycomb;Sandwich;Piezoelectricity
Subjects: ENGINEERING > Structural Mechanics
Depositing User: M/S ICAST NAL
Date Deposited: 09 Nov 2006
Last Modified: 24 May 2010 04:22

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