Modified H-R mixed variational principle for magnetoelectroelastic bodies and state-vector equation

Applied Mathematics and Mechanics (English Edition)

Volumn 26, Issue 6, 2005, Pages 722-728

  Qing, Guang Hui ^a   Qiu, Jia Jun ^b   Liu, Yan Hong ^a  

^a CIVIL AVIATION UNIVERSITY OF CHINA   (China)

^b TIANJIN UNIVERSITY   (China)

Author keywords

Laminated plates; Magnetoelectroelastic body; Semi analytical solution; State vector equation; Variational principle

Indexed keywords

EQUATIONS OF STATE; LAMINATES; MAGNETOELECTRIC EFFECTS; PIEZOELECTRIC MATERIALS; PLATES (STRUCTURAL COMPONENTS); THREE DIMENSIONAL; VECTORS;

LAMINATED PLATES; MAGNETOELECTROELASTIC BODY; SEMI-ANALYTICAL SOLUTION; STATE VECTOR EQUATION; VARIATIONAL PRINCIPLE;

ELASTICITY;

EID: 23444454673     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02465422     Document Type: Article

References (11)

1. Liu Jinxi, Wang Xiangqin, Wang Biao. General solution for the coupled equations of transversely isotropic magnetoelectroelastic bodies[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(7): 774-781.
2. Ding Haojiang, Jiang Aimin. Fundamental solutions for transversely isotropic magneto-electro-elastic media and boundary integral formulation[J]. Science in China, Ser E, 2003, 33(9): 845-855 (in Chinese).
3. Wang Jianguo, Fang Shisheng, Chen Linfeng. State vector approach to analysis of multilayered magneto-electro-elastic plates[J]. International Journal of Solids and Structures, 2003, 40(7): 1669-1680.
4. Pan E. Exact solution for simply supported and multilayered magneto-electro-elastic plates[J]. Journal of Applied Mechanics, 2001, 68(4): 608-618.
5. Pan E, Heyliger P. Free vibrations of simply supported and multilayered magneto-electro-elastic plates[J]. Journal of Sound and Vibration, 2002, 252(3): 429-442.
6. Tang Limin, Chu Zhizhong, Zou Guiping, et al. The semi-analytical solution mixed state Hamiltonian element and the computation of the laminated plates[J]. Computational Structural Mechanics and Applications, 1992, 9(4): 347-360 (in Chinese).
7. Ouyang Huajiang, Zhong Wanxie, Yang Qi, et al. A group of Hamiltonian system based semianalytic methods[J]. Computational Structural Mechanics and Applications, 1993, 10(2): 129-136 (in Chinese).
8. Yao Weian. Generalized variational principles of three-dimensional problems in magnetoelectoelastic bodies[J]. Chinese Journal of Computational Mechanics, 2003, 20(4): 487-489 (in Chinese).
9. Reissner E. On a variational theorem in elasticity[J]. Journal of Mathematics and Physics, 1950, 29(1): 90-95.
10. Zhong Wanxie. A New Systematic Methodology for Theory of Elasticity[M]. Dalian University of Technology Press, Dalian, 1995, 155-159 (in Chinese).
11. Steele C R, Kim Y Y. Modified mixed variational principle and the state-vector equation for elastic bodies and shells of revolution[J]. Journal of Applied Mechanics, 1992, 59(3): 587-595.