Assessment of plate theories for initially stressed hybrid laminated plates

Composite Structures

Volumn 88, Issue 2, 2009, Pages 195-201

  Chen, Chun Sheng ^a   Fung, Chin Ping ^b   Yang, Ji Gang ^c  

^a Lunghwa Science and Technology University ^*  (Taiwan)

^b ORIENTAL INSTITUTE OF TECHNOLOGY   (Taiwan)

^c CHUNG SHAN INSTITUTE OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Initial stress; Normal strain; Plate theory; Transverse shear strain

Indexed keywords

BUCKLING; PROGRAMMING THEORY; STRAIN;

DISPLACEMENT FIELDS; INITIAL STRESS; LAMINATE PLATES; NORMAL STRAIN; ORDER THEORY; PLATE THEORY; THICKNESS RATIOS; TRANSVERSE SHEAR STRAIN; VIBRATION FREQUENCIES;

SHEAR STRAIN;

BUCKLING; LAMINATE; SHEAR PROPERTY; STABILITY; STRAIN; STRESS; VIBRATION;

EID: 58749096779     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2008.03.034     Document Type: Article

References (40)

1. Mindlin R.D. Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics, Transactions ASME 18 (1951) 31-38
2. Reddy J.N. Mechanics of Laminated Composite Plates: Theory and Analysis (1997), CRC Press, Boca Raton, FL
3. Bose P., and Reddy J.N. Analysis of composite plates using various plate theories. Part 1: formulation and analytical solutions. Structural Engineering and Mechanics 6 (1998) 583-612
4. Cheng Z.Q., and Kitipornchai S. Exact eigenvalue correspondences between laminated plate theories via membrane vibration. International Journal of Solids and Structures 37 16 (2000) 2253-2264
5. Zenkour A.M., and Youssif Y.G. Free vibration analysis of symmetric cross-ply laminated elastic plates. Mechanics Research Communications 27 2 (2000) 165-172
6. Kant T., and Swaminathan K. Free vibration of isotropic, orthotropic, and multilayer plates based on higher order refined theories. Journal of Sound and Vibration 241 2 (2001) 319-327
7. Nabarrete A., De Almeida S.F.M., and Hansen J.S. Sandwich-plate vibration analysis: three-layer quasi-three-dimensional finite element model. AIAA Journal 41 8 (2003) 1547-1555
8. Idlbi A., Karama M., and Touratier M. Comparison of various laminated plate theories. Composite Structures 37 2 (1997) 173-184
9. Carvelli V., and Savoia M. Assessment of plate theories for multilayered angle-ply plates. Composite Structures 39 3-4 (1997) 197-207
10. Bose P., and Reddy J.N. Analysis of composite plates using various plate theories. Part 1: formulation and analytical solutions. Structural Engineering and Mechanics 6 6 (1998) 583-612
11. Fares M.E., Youssif Y.G., and Alamir A.E. Optimal design and control of composite laminated plates with various boundary conditions using various plate theories. Composite Structures 56 1 (2002) 1-12
12. Xu K., Amed K., and Tang Y.Y. Three-dimensional solutions for free vibrations of initially-stressed thermoelectroelastic multilayered plates. Computer Methods in Applied Mechanics and Engineering 141 1-2 (1997) 125-139
13. Barai A., and Durvasula S. Vibration and buckling of hybrid laminated curved panels. Composite Structures 21 1 (1992) 5-27
14. Benjeddou A., Deu J.F., and Letombe S. Free vibrations of simply-supported piezoelectric adaptive plates: an exact sandwich formulation. Thin-Walled Structures 40 7-8 (2002) 573-593
15. Lee Y.S., and Kim Y.W. Analysis of nonlinear vibration of hybrid composite plates. Computer Structure 61 3 (1996) 573-578
16. Harras B., Nenamar R., and White R.G. Experimental and theoretical investigation of the linear and non-linear dynamic behaviour of a glare 3 hybrid composite panel. Journal of Sound and Vibration 252 2 (2002) 281-315
17. Chen C.S., and Fung C.P. Nonlinear vibration of an initially stressed hybrid composite plates. Journal of Sound and Vibration 274 3-5 (2004) 1013-1029
18. Brunell E.J., and Robertson S.R. Vibrations of an initially stressed thick. Journal of Sound and Vibration 45 (1976) 405-416
19. Yamaki N., and Chiba M. Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement - part I: theory. Thin-Walled Structures 1 (1983) 3-29
20. Nayak A.K., Moy S.S.J., and Shenoi R.A. A higher order finite element theory for buckling and vibration analysis of initially stressed composite sandwich plates. Journal of Sound and Vibration 286 2 (2005) 763-780
21. Cheung Y.K., Zhu D.S., and Iu V.P. Nonlinear vibration of thin plates with initial stress by spline finite strip method. Thin-Walled Structures 32 (1998) 275-287
22. Chen L.W., and Yang J.Y. Dynamic stability of laminated composite plate by the finite element method. Computer Structures 36 5 (1990) 845-851
23. Chen L.W., and Ku D.M. Stability of nonconsvervatively elastic systems using eigenvalue sensitivity. Journal of Applied Mechanics, Transactions ASME 116 5 (1994) 168-172
24. Doong J.L., Chen T.J., and Chen L.W. Vibration and stability of an initially stressed laminated plate based on a higher-order deformation theory. Composite Structures 7 (1987) 285-310
25. Doong J.L., Lee C., and Fung C.P. Vibration and stability of laminated plates based on a modified plate theory. Journal of Sound and Vibration 151 5 (1991) 193-201
26. Chen C.S., Hwang J.R., and Doong J.L. Large amplitude vibration of plates according to a modify higher order deformation. Journal of Solids and Structures 38 (2001) 8563-8583
27. Chen C.S., Cheng W.S., Chien R.D., and Doong J.L. Large amplitude vibration of an initially stressed cross ply laminated plates. Applied Acoustics 63 (2002) 939-956
28. Rogerson G.A., and Sandiford K.J. On small amplitude vibrations of pre-stressed laminates. International Journal of Engineer Sciences 34 8 (1996) 853-872
29. Lo K.H., Christensen R.M., and Wu E.M. A higher order theory of plate deformation, part I: homogeneous plates. Journal of Applied Mechanics, Transactions ASME 44 (1977) 663-668
30. Reissner E. The effects of transverse shear deformation on the bending of elastic plates. Journal of Applied Mechanics, Transactions ASME 12 (1945) 69-77
31. Mindlin R.D., and Deresiewicz H. Thick-shear and flexural vibrations of a circular disk. Journal of Applied Mechanics, Transactions ASME 25 (1954) 1329-1332
32. Essenburge F. On the significance of the inclusion of the effect of transverse normal strain in problem involving beams with surface constrains. Journal of Applied Mechanics, Transactions ASME 42 (1975) 127-132
33. Pandya B.N., and Kant T. Finite element stress analysis of laminated composite plates using higher order displacement model. Composites Science and Technology 32 (1988) 137-155
34. Bolotin V.V. Nonconservative Problems of the Theory of Elastic Stability (1963), Macmillan Company, New York
35. Brunell E.J., and Robertson S.R. Initially stressed Mindlin plates. AIAA Journal 12 (1974) 1036-1045
36. Jones R.M. Mechanics of Composite Materials (1975), Scripta Book Company, Washington, DC
37. Chen C.S., Fung C.P., and Chien R.D. Analysis of an initially stressed hybrid plate based on a higher order theory. Composite Structures 74 (2006) 343-353
38. Lekhnitskii S.G. Theory of Elasticity of Anisotropic Body (1981), Mir Publishers, Moscow
39. Bhimaraddi A., and Stevens L.K. A higher order theory for free vibration of orthotropic, homogeneous and laminated rectangular plates. Journal of Applied Mechanics, Transactions ASME 51 (1984) 195-198
40. Yang P.C., Norris C.H., and Stavsky Y. Elastic wave propagation in heterogeneous plates. Journal of Solids and Structure 2 (1966) 665-684