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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 194-196Separable K-Canonical Formulation of Rectangular...

Separable K-Canonical Formulation of Rectangular Element and Symplectic Integration Method for Analysis of Laminated Plates

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Abstract:

In the state space framework, a separable K-canonical formulation of rectangular element and explicit symplectic schemes for the static responses analysis of three-dimensional (3D) laminated plates are proposed in this paper. Firstly, the modified Hellinger-Reissner (H-R) variational principle for linear elastic solid is simply mentioned. Secondly, the separable J-canonical system with Hamiltonian H and the separable K-canonical formulation of rectangular element are constructed. Thirdly, on the basis of the symplectic difference schemes, the explicit symplectic schemes are employed to solve the separable K-canonical governing equation for a single plate. Then, to obtain the high accurate numerical results, a multi-scale iterative technique is also presented. Finally, based on the interlaminar compatibility condition (displacements and stresses), the excellent performance of the method presented in this paper is demonstrated by several numerical experiments of the static responses of laminated plates.

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Advanced Engineering Materials

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Periodical:

Advanced Materials Research (Volumes 194-196)

Pages:

1496-1505

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.194-196.1496

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Online since:

February 2011

Authors:

Guang Hui Qing, Liang Wang, Li Zhong Shi

Keywords:

General Hamilton System, Laminated Plate, Separable Form, Static Response, Symplectic Scheme

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] Carrera E. Applied Mechanics Reviews, Vol. 56(2003), p.287.

[2] Carrera E. Applied Mechanics Reviews, Vol. 47(2001), p.147.

[3] YB Leon. Journal of The Franklin Institute. Vol. 299(1975) , p.33.

[4] WX Zhong. A new systematic methodology for theory of elasticity (in Chinese). Dalian University of Technology Press, Dalian (1995).

[5] WX Zhong. Symplectic system of applied mechanics (in Chinese), Science Press, Beijing(2003).

[6] TC Ting. Anisotropic Elasticity. Theory and Application. Oxford University Press, New York (1996).

[7] CR Steele, YY Kim. Journal of Applied Mechanics, Vol. 59(1992), p.587.

[8] S Chandrashekara, U Santhosh. Journal of Sound and Vibration, Vol. 136(1990), p.413.

[9] JR Fan, JQ Ye. International Journal of Solids and Structures, Vol. 26(1990), p.655.

[10] JR Fan. Exact theory of laminated plates and shells(in Chinese), Science Press, Beijing(1998).

[11] PR Heyliger, P Brooks. International Journal of Solids and Structures, Vol. 32(1995), p.2945.

[12] PR Heyliger, P Brooks. Journal of Applied Mechanics, Vol. 63(1996), p.903.

[13] JS Lee, LZ Jiang. International of Solids and Structures, Vol. 33(1996), p.977.

[14] HJ Ding, WQ Chen and RQ Xu. Mechanics research communications, Vol. 27(2000), p.319.

[15] SS Vel, RC Batra. American Institute of Aeronautics and Astronautics Journal, Vol. 37(1999), p.1464.

[16] JQ Tarn. International Journal of Solids and Structures, Vol. 38(2001), p.9053.

[17] E Pan and PR Heyliger. Journal of Sound and Vibration, Vol. 252(2002), p.429.

[18] SS Vel, RC Mewer and RC Batra. International Journal of Solids and Structures, Vol. 41(2004), p.1625.

[19] GH Qing, JX Xu, JJ Qiu. Composite Structures; Vol. 78(2007), p.457.

[20] GH Qing, YH Liu, Q Guo and DD Zhang. International Journal of Mechanical Sciences, Vol. 50(2008), p.83.

[21] GP Zou, LM Tang. Computer Methods in Applied Mechanics and Engineering, Vol. 128(1995), p.395.

[22] HR Chen, ZL Yang and LM Tang. Chinese Journal of Applied Mechanics (in Chinese), Vol. 15(1998), p.30.

[23] HY Sheng, JQ Ye. Composite Structures, Vol. 57(2002), p.117.

[24] GH Qing, JJ Qiu, YH Liu. International Journal of Solids and Structure, Vol. 43(2006), p.1357.

[25] GH Qing, JJ Qiu, YH Liu. International Journal of Solids and Structures, Vol. 43(2006), p.1388.

[26] GH Qing, YH Liu, JJ Qiu, XJ Meng. Finite Elements in Analysis and Design, Vol. 42(2006), p.837.

[27] ZQ Cheng, RC Batra. American Institute of Aeronautics and Astronautics Journal, Vol. 38(2000), p.317.

[28] K Feng, HM Wu, MZ Qin, DL Wang. Journal Computational Mathematics, Vol. 8(1989), p.73.

[29] MZ Qin, MQ Zhang. Computes Mathematics and Applications. Vol. 19(1990), p.51.

[30] F Etienne, DR Ronald. Physica D: Nonlinear Phenomena, Vol. 41(1990), p.105.

[31] K Feng, DL Wang. Journal Computational Mathematics, Vol. 9(1991), p.86.

[32] B Giancarlo, G Antonio. Journal of Statistical Physics, Vol. 74(1994), p.1117.

[33] E Hairer. Applied Numerical Mathematics, Vol. 25(1997), p.219.

[34] MP Calvo, A Iserles, A Zanna. IMA Journal of Numerical Analysis, Vol. 19(1999), p.509.

[35] S Blanes, PC Moan. Journal of Computational and Applied Mathematics, Vol. 142(2002), p.313.

[36] C Moler, LC Van. SIAM Review (Society for Industrial and Applied Mathematics), Vol. 20(1978), p.801.