Variational principles of bending problems of thin plates

Archives of Mechanics

Volumn 53, Issue 6, 2001, Pages 631-642

  He, Ji Huan ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Semi Inverse Method; Thin Plate; Trial Functional; Variational Theory

Indexed keywords

EID: 42449088074     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. W. Z. CHIEN, Involutory transformations and variational principles with multi-variables in thin plate bending problems, Appl. Math. & Mech., 6, 1, 27-41, 1995.
2. W. Z. CHIEN, Method of high-order Lagrange multiplier and generalized variational principles of elasticity with more general forms of functionals, Appl. Math. & Mech. 4, 2, 137-150, 1983.
3. E. REISSNER, Some aspects of the variational principles problem in elasticity, Comp. Mech. 1, 1, 3-9, 1986.
4. E. REISSNER, On a mixed variational theorem and on shear deformable plate theory, Int. J. Num. Meth. Engrg., 23, 2, 193-198, 1986.
5. W. Z. CHIEN, Classification of variational principles in elasticity, Appl. Math. Mech., 5, 6, 1734-1743, 1984.
6. K. WASHIZU, A note on the variational principles for the bending of a thin plate under the Kirchhoff hypothesis, Trans. Japan. Soc. Aero Space., 19, 43, 23-34, 1976.
7. J. H. HE, Variational crisis of elasticity and its removal (in Chinese), Shanghai Journal of Mech., 18, 4, 305-310, 1997.
8. J. H. HE, An overview of variational crises and its recent developments (in Chinese), Journal of University of Shanghai for Sciences and Technology, 21, 1, 29-35, 1999.
9. J. H. HE On variational crisis and generalized variational principle of elasticity (in Chinese), Journal of University of Shanghai for Science and Technology, 21, 2, 127-130, 1999.
10. J. H. HE, Modified Lagrange multiplier method and generalized variational principles in fluid mechanics, J. Shanghai University (English edition), 1, 2, 117-122, 1997.
11. J. H. HE, Coupled variational principles of piezoelectricity, Int. J. Engineering Sciences, 39, 3, 323-341, 2000.
12. J. H. HE, A remark on Lagrange multiplier method (I), International Journal of Nonlinear Sciences and Numerical Simulation, 2, 2, 2001.
13. J. H. HE, Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics, Int. J. Turbo & Jet-Engines, 14, 1, 23-28, 1997.
14. J. H. HE, Semi-inverse method and generalized variational principles with multi-variables in elasticity, Applied Math. & Mech. (English Edition), 21, 7, 797-808, 2000.
15. J. H. HE, Generalized Hellinger-Reissner principle, ASME Journal of Applied Mechanics, 67, 2, 326-331, 2000.
16. J. H. HE, A Classical variational model for micropolar elastodynamics, International J. of Nonlinear Sciences and Numerical Simulation, 1, 2, 133-138, 2000.
17. J. H. HE, A variational model for micropolar fluids in lubrication journal bearing, International Journal of Nonlinear Sciences and Numerical Simulation, 1, 2, 139-141, 2000.
18. rd ed.), Pergamon Press, Oxford, 1982.
19. O. ZIENKIEWICZ, The finite element method in engineering science, McGraw-Hill, 1971.