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TECHNICAL PAPERS

Dynamic Characteristics of Elastic Bonding in Composite Laminates: A Free Vibration Study

[+] Author and Article Information
K. M. Liew

J. Z. Zhang

Center for Advanced Numerical Engineering Simulations, Nanyang Technological University, Nanyang Avenue, Singapore 639798  

T. Y. Ng

School of Mechanical and Production Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798  

J. N. Reddy

Advanced Computational Mechanics Laboratory, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123

J. Appl. Mech 70(6), 860-870 (Jan 05, 2004) (11 pages) doi:10.1115/1.1604838 History: Received July 04, 2002; Revised February 05, 2003; Online January 05, 2004
Copyright © 2003 by ASME
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References

Reddy, J. N., 1997, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL.
Reddy,  J. N., 1987, “A Generalization of Two-Dimensional Theories of Laminated Composite Plates,” Commun. Appl. Numer. Methods, 3, pp. 173–180.
Reddy,  J. N., 1989, “On the Generalization of Displacement-Based Laminate Theories,” Appl. Mech. Rev., 42, pp. 213–222.
Soldatos,  K. P., and Watson,  P., 1997, “Accurate Stress Analysis of Laminated Plates Combining a Two-Dimensional Theory With the Exact Three-Dimensional Solution for Simply Supported Edges,” Math. Mech. Solids, 2, pp. 459–489.
Soldatos,  K. P., and Watson,  P., 1997, “A General Four-Edges-of-Freedom Theory Suitable for the Acourate Stress Analysis of Homogeneous and Laminated Composites Beam,” Int. J. Solids Struct., 34, pp. 2857–2885.
Soldatos,  K. P., and Liu,  S. L., 2001, “On the Generalized Plane Strain Deformations of Thick Anisotropic Composite Laminated Plates,” Int. J. Solids Struct., 38, pp. 479–482.
Messina,  A., and Soldatos,  K. P., 2002, “A General Vibration Model of Angle-Ply Laminated Plates That Accounts for the Continuity of Interlaminar Stresses,” Int. J. Solids Struct., 39, pp. 617–635.
Srinivas,  S., and Rao,  A. K., 1970, “Bending, Vibration and Buckling of Simply Supported Thick Orthotropic Rectangular Plates and Laminates,” Int. J. Solids Struct., 6, pp. 1463–1481.
Savoia,  M., and Reddy,  J. N., 1992, “A Variational Approach to Three-Dimensional Elasticity Solutions of Laminated Composite Plates,” ASME J. Appl. Mech., 59, Part 2, pp. S166–S175.
Teo,  T. M., and Liew,  K. M., 2001, “Three-Dimensional Elasticity Solutions to Some Orthotropic Plate Problems,” Int. J. Solids Struct., 36, pp. 5301–5326.
Lu,  X., and Liu,  D., 1992, “Interlayer Shear Slip Theory for Cross-Ply Laminates With Nonrigid Interfaces,” AIAA J., 30, pp. 1063–1073.
Newmark, N. M., Seiss, C. P., and Viest, I. M., 1951, “Tests and Analysis of Composite Beams With Incomplete Interaction,” Proceedings of Society for Experimental Stress Analysis, Brookfield Center, Brookfield, CT, Vol. 9, pp. 73–79.
Toledano,  A., and Murakami,  H., 1988, “Shear-Deformable Two-Layer Plate Theory With Interlayer Slip,” J. Eng. Mech., 114, pp. 605–623.
Rao,  K. M., and Ghosh,  B. G., 1980, “Imperfectly Bonded Unsymmetric Laminated Beam,” J. Eng. Mech., 106, pp. 685–697.
Fazio,  P., Hussein,  R., and Ha,  K. H., 1982, “Beam-Columns With Interlayer Slips,” J. Eng. Mech., 108, pp. 354–366.
Liu,  D., Xu,  L., and Lu,  X., 1994, “Stress Analysis of Imperfect Composite Laminates With an Interlaminar Bonding Theory,” Int. J. Numer. Methods Eng., 37, pp. 2819–2839.
Soldatos,  K. P., and Shu,  X. P., 2001, “Modelling of Perfectly and Weakly Bonded Laminated Plates and Shallow Shells,” Comp. Sci. Tech.,61, pp. 247–260.
Willians,  T. O., and Addessio,  F. L., 1997, “A General Theory for Laminated Plates With Delaminations,” Int. J. Solids Struct., 34, pp. 2003–2024.
Williams,  T. O., 1999, “A Generalized Multilength Scale Nonlinear Composite Plate Theory With Delamination,” Int. J. Solids Struct., 36, pp. 3015–3050.
Shu,  X. P., and Soldatos,  K. P., 2001, “An Accurate Delamination Model for Weakly Bonded Laminates Subjected to Different Sets of Edge Boundary Conditions,” Int. J. Mech. Sci., 43, pp. 935–959.
Liew,  K. M., Zhang,  J. Z., Ng,  T. Y., and Meguid,  S. A., 2003, “Three-Dimensional Modelling of Elastic Bonding in Composite Laminates Using Layerwise Differential Quadrature,” Int. J. Solids Struct., 40, pp. 1745–1764.
Bellman, R. E., 1973, Methods of Nonlinear Analysis, Academic Press, San Diego, CA.
Liew,  K. M., Ng,  T. Y., and Zhang,  J. Z., 2002, “Differential Quadrature-Layerwise Modeling Technique for Three-Dimensional Analysis of Cross-Ply Laminated Plates of Various Edge Supports,” Comput. Methods Appl. Mech. Eng., 191, pp. 3811–3832.
Bert,  C. W., Jang,  S. K., and Striz,  A. G., 1988, “Two New Approximate Methods for Analyzing Free Vibration of Structural Components,” AIAA J., 26, pp. 612–618.
Jang,  S. K., Bert,  C. W., and Striz,  A. G., 1989, “Application of Differential Quadrature to Static Analysis of Structural Components,” Int. J. Numer. Methods Eng., 28, pp. 561–577.
Farsa,  J., Kukreti,  A. R., and Bert,  C. W., 1993, “Fundamental Frequency Analysis of Laminated Rectangular Plates by the Differential Quadrature Method,” Int. J. Numer. Methods Eng., 36, pp. 2341–2356.
Han,  J. B., and Liew,  K. M., 1995, “Numerical Differential Quadrature Method for Reissner/Mindlin Plates on Two-Parameter Foundations,” Int. J. Mech. Sci., 39, pp. 977–990.
Liu,  F.-L., and Liew,  K. M., 1997, “Static Analysis of Mindlin Plates by Differential Quadrature Element Method,” ASME J. Appl. Mech., 65, pp. 705–710.
Bert,  C. W., and Malik,  M., 1996, “Differential Quadrature Method in Computational Mechanics: A Review,” Appl. Mech. Rev., 49, pp. 1–28.
Bhimaraddi,  A., and Stevens,  L. K., 1984, “A Higher Order Theory for Free Vibration of Orthotropic, Homogeneous, and Laminated Rectangular Plates,” ASME J. Appl. Mech., 51, pp. 195–198.
Khdeir,  A. A., 1989, “Free Vibration and Buckling of Unsymmetric Cross-Ply Laminated Plates Using a Refined Theory,” J. Sound Vib., 128, pp. 377–395.
Reddy,  J. N., and Khdeir,  A. A., 1989, “Buckling and Vibration of Laminated Composite Plates Using Various Plate Theories,” AIAA J., 27, pp. 1808–1817.
Khdeir,  A. A., 1988, “Free Vibration and Buckling of Symmetric Cross-Ply Laminated Plates by an Exact Method,” J. Sound Vib., 126, pp. 447–461.
Reddy,  J. N., 1984, “A Simple Higher-Order Theory for Laminated Plates,” ASME J. Fluids Eng., 51, pp. 745–752.

Figures

Grahic Jump Location
Laminated plate structure with an elastic adhesive bonding layer

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