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Abstract

Distributed sensing of static and dynamic fracture under mode-I and mode-II delamination in smart laminated composite with embedded piezoelectric sensor patches are studied. An isoparametric 4-node 3 DOF/node quadrilateral plane stress Finite Element (FE) with one active DOF/node is formulated. A consistent formulation is carried out from the coupled electro-mechanical equations of motion. The crack-tip energy release rate in the form of a generalized Energy Domain Integral (EDI) for static and dynamic fracture is implemented in the FE code to simulate the distributed sensing behavior of the embedded piezoelectric patches. Correlations between the sensor signals with the EDI under incremental delamination growth in a graphite-epoxy Double Cantilever Beam (DCB) specimen with three piezoelectric patches ahead of the delamination tip are made. The study shows various important features for sensing the incremental delamination growth, which can be used in future designs of self-sensing piezoelectric composite structures and on-line health monitoring systems.

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References

Anderson, T.L., 1995. Fracture Mechanics, 2nd Edition, CRC Press .

Bao, G., Ho, S., Sou, Z. and Fan, B. 1992. “The Role of Material Orthotropy in Fracture Specimens for Composites” , International Journal of Solids and Structures, 29(9): 1105–1116 .

Benjeddou, A. 2000. “Advances in Piezoelectric Finite Element Modeling of Adaptive Structural Elements: A Survey” , Computers and Structures, 76: 347–363 .

Bent, A.A. 1994. Active Fiber Composite for Structural Actuation, PhD Thesis, Massachusetts Institute of Technology, USA.

Chakraborty, A., Roy Mahapatra, D. and Gopalakrishnan, S. 2001. “Finite Element Analysis of Free Vibration and Wave Propagation in Asymmetric Composite Beams with Structural Discontinuities” , Composite Structures, 55(1): 23–36 .

Freund, L.B. 1990. Dynamic Fracture Mechanics, Cambridge University Press, Cambridge .

Garg, A.C. 1988. “Delamination – a Damage Mode in Composite Structures” , Engineering Fracture Mechanics, 29(5): 557–584 .

Giurgiutiu, V. and Zagrai, A.N. 2002. “Embedded Self-sensing Piezoelectric Active Sensors for On-line Structural Identification” , Journal of Vibration and Acoustics, 124: 116–125 .

Ha, S.K., Keilers, C. and Chang, F.-K. 1992. “Finite Element Analysis of Composite Structures Containing Distributed Piezoceramic Sensors and Actuators” , AIAA Journal, 30(3): 1992-1992 .

10.

Li, F.Z., Shih, C.F. and Needleman, A., 1985. “A Comparison of Methods for Calculating Energy Release Rate” , Engineering Fracture Mechanics, 21(2): 405–421 .

11.

Li, Zhang B., Deng, J.B.Y. and Guan, Z.D. 2001. “Detection of crack Propagation in Si3N4=Si3N4 TiN Laminated Ceramics by Electrical Resistance,” Smart Materials and Structures, 10: 846–849 .

12.

Mackerle, J. 1999. “Sensors and Actuators: Finite Element and Boundary Element Analyses and Simulations”, A Bibliography (1997–1998) , Finite Elements in Analysis and Design, 33: 209–220 .

13.

Moran, B. and Shih, C.F. 1987. “A General Treatment of Crack Tip Contour Integrals” , International Journal of Fracture, 35: 295–310 .

14.

Nag, A., Roy Mahapatra, D. and Gopalakrishnan, S. 2002. “Identification of Delaminations in Composite Beams using Spectral Estimation and Genetic Algorithm” , Smart Materials and Structures, 11: 899–908 .

15.

Pipes, R.B. and Pagano, N.J. 1970. “Interlaminar Stresses in Composite Laminates under Uniform Axial Extension” , Journal of Composite Materials, 4: 538-538 .

16.

Reddy, J.N. 1997. Mechanics of Laminated Composite Plates, CRC Press, Florida .

17.

Rice, J.R. 1968. “A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks” , Journal of Applied Mechanics, 35: 379–386 .

18.

Rybicki, E.F. and Kanninen, M.F. 1977. “A Finite Element Calculation of a Stress Intensity Factor by a Modified Crack Closure Integral” , Engineering Fracture Mechanics, 9: 931–938 .

19.

Saidha, E., Nayak, G.N. and Gopalakrishnan, S. 2002. “An Experimental Investigation of a Smart Laminated Composite Beam with Magnetostrictive Patches for Health Monitoring Applications”, Structural Health Monitoring, (accepted).

20.

Shah, D.K., Chan, W.S. and Joshi, S.P. 1994. “Delemination Detection and Suppression in a Composite Laminate using Piezoceramic Layers,” Smart Materials and Structures, 3: 293–301 .

21.

Tong., L., Sun, D. and Atluri, S.N. 2001. “Sensing and Actuation Behaviours of Piezoelectric Layers with Debonding in Smart Beams” , Smart Materials and Structures, 10: 713-723 .

22.

Wang, X. 2002. “Shape Memory Alloy Volume Fraction of Prestretched Shape Memory Alloy Wire-reinforced Composites for Structural Damage Repair” , Smart Materials and Structures, 11: 590–595 .

23.

Watkins, S.E., Sanders, G.W., Akhavan, F. and Chandrashekhara, K. 2002. “Modal Analysis using Fiber Optic Sensors and Neural Networks for Prediction of Composite Beam Delamination” , Smart Materials and Structures, 11: 489–495 .

24.

Zhang, T.-Y., 1994. “J-integral Measurement for Piezoelectric Materials” , International Journal of Fracture, 68: R33–R40 .

Distributed Sensing of Static and Dynamic Fracture in Self-Sensing Piezoelectric Composite: Finite Element Simulation

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