A static flexure of thick isotropic plates using trigonometric shear deformation theory

Journal of Solid Mechanics

Volumn 2, Issue 1, 2010, Pages 79-90

  Ghugal, Yuwaraj M ^a   Sayyad, Atteshamuddin S ^a  

^a GOVERNMENT COLLEGE OF ENGINEERING   (India)

Author keywords

Deflection; Flexure; Isotropic thick plate; Normal and transverse shear stress; Shear deformation

Indexed keywords

EID: 80053051960     PISSN: 20083505     EISSN: 20087683     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. Kirchhoff G.R., 1850, Uber das gleichgewicht und die bewegung einer elastischen Scheibe, Journal für die reine und angewandte Mathematik (Crelle's Journal) 40: 51-88.
2. Reissner E., 1944, On the theory of bending of elastic plates, Journal of Mathematics and Physics 23: 184-191.
3. Reissner E. 1945, The effect of transverse shear deformation on the bending of elastic plates, ASME Journal of Applied Mechanics 12: 69-77.
4. Mindlin R.D., 1951, Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates, ASME Journal of Applied Mechanics 18: 31-38.
5. Naghdi P.M., 1957, On the theory of thin elastic shells, Quarterly of Applied Mathematics 14: 369-380.
6. Pister K.S., Westmann R.A., 1962, Bending of plates on an elastic foundation, ASME Journal of Applied Mechanics 29: 369-374.
7. Whitney J.M., Sun, C.T., 1973, A higher order theory for extensional motion of laminated composites, Journal of Sound and Vibration 30: 85-97.
8. Nelson R.B., Lorch, D.R., 1974, A refined theory for laminated orthotropic plates, ASME Journal of Applied Mechanics 41: 177-183.
9. Reissner E., 1963, On the derivation of boundary conditions for plate theory, in: Proceedings of Royal Society of London, Series A 276: 178-186.
10. Provan J.W., Koeller R.C., 1970, On the theory of elastic plates, International Journal of Solids and Structures 6: 933-950.
11. Lo K.H., Christensen R.M., Wu E.M., 1977, A high-order theory of plate deformation, Part-1: Homogeneous plates, ASME Journal of Applied Mechanics 44: 663-668.
12. Lo K.H., Christensen R.M., Wu E.M., 1978, Stress solution determination for higher order plate theory, International Journal of Solids and Structures 14: 655-662.
13. Levinson M., 1980, An accurate, simple theory of the statics and dynamics of elastic plates, Mechanics Research Communications 7: 343-350.
14. Reddy J.N., 1984, A simple higher order theory for laminated composite plates, ASME Journal of Applied Mechanics 51: 745-752.
15. Krishna Murty A.V., 1977, Higher order theory for vibrations of thick plates, AIAA Journal 15: 1823-1824.
16. Krishna Murty A.V., 1986, Toward a consistent plate theory, AIAA Journal 24: 1047-1048.
17. Savithri S., Varadan, T.K., 1992, A simple higher order theory for homogeneous plates, Mechanics Research Communications 19: 65-71.
18. Soldatos K.P., 1988, On certain refined theories for plate bending, ASME Journal of Applied Mechanics 55: 994-995.
19. Reddy J.N., 1990, A general non-linear third-order theory of plates with moderate thickness, International Journal of Nonlinear Mechanics 25: 677-686.
20. Noor A.K., Burton W.S., 1989, Assessment of shear deformation theories for multilayered composite plates, Applied Mechanics Reviews 42: 1-13.
21. Ghugal Y.M., Shimpi R.P., 2002, A review of refined shear deformation theories for isotropic and anisotropic laminated plates, Journal of Reinforced Plastics and Composites 21: 775-813.
22. Levy M., 1877, Memoire sur la theorie des plaques elastique planes, Journal des Mathematiques Pures et Appliquees, 30: 219-306.
23. Stein M., 1986, Nonlinear theory for plates and shells including effect of shearing, AIAA Journal 24: 1537-1544.
24. Shimpi R.P., 2002, Refined plate theory and its variants, AIAA Journal 40 (1): 137-146.
25. Shimpi R.P., Patel H.G., 2006, A two variable refined plate theory for orthotropic plate analysis, International Journal of Solids and Structures 43: 6783-6799.
26. Shimpi R.P., Patel, H.G. Arya, H., 2007, New first order shear deformation plate theories, Journal of Applied Mechanics 74: 523-533.
27. Srinivas S., Joga Rao C.V., Rao A.K., 1970, Bending, vibration and buckling of simply supported thick orthotropic rectangular plate and laminates, International Journal of Solids and Structures 6: 1463-1481.
28. Timoshenko S.P., Goodier J.M., 1970, Theory of Elasticity, McGraw-Hill, 3rd International Edition, Singapore.