Finite Element Analysis of Composite and Sandwich Plates Using a Continuous Inter-laminar Shear Stress Model

Journal of Sandwich Structures and Materials

Volumn 5, Issue 3, 2003, Pages 207-231

  Topdar, P ^a   Sheikh, A H ^a   Dhang, N ^b  

^a Department of Ocean Engineering and Naval Architecture ^*

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

composite and sandwich plates; conforming plate finite element; higher order shear deformation theory; inter laminar shear stress continuity

Indexed keywords

EID: 84990341351     PISSN: 10996362     EISSN: 15307972     Source Type: Journal    
DOI: 10.1177/1099636203005003001     Document Type: Article

References (37)

1. Yang, P.C., Norris, C.H. and Stavsky, Y. (1966). Elastic Wave Propagation in Heterogeneous Plates, Int. J. Solids and Struct., 2: 665-684.
2. Mindlin, R.D. (1951). Influence of Rotary Inertia and Shear on Flexural Motion of Isotropic Elastic Plates, J. Appl. Mech., 18: 31-38.
3. Reddy, J.N. (1984). A Simple Higher-Order Theory for Laminated Composite Plates, J. Appl. Mech., 51: 745-752.
4. Kant, T. (1982). Numerical Analysis of Thick Plates, Computer Methods in Applied Mechanics and Engineering, 31: 1-18.
5. Srinivas, S. (1973). A Refined Analysis of Composite Analysis, J. Sound and Vibration, 30: 495-507.
6. Toledano, A. and Murakami, H. (1987a). A Composite Plate Theory for Arbitrary Laminate Configuration, J. Appl. Mech., 54: 181-189.
7. Li, X. and Liu, D. (1992). An Interlaminar Shear Stress Continuity Theory for Both Thin and Thick Composite Laminates, J. Appl. Mech., 59: 502-509.
8. Robbins, D.H. and Reddy, J.N. (1993). Modelling of Thick Composites Using a Layerwise Laminate Theory, Int. J. Numer. Methods in Engg., 36: 665-677.
9. Di Sciuva, M. (1986). Bending, Vibration and Buckling of Simply Supported Thick Multi-Layered Orthotropic Plates, Journal of Sound and Vibration, 105: 425-442.
10. Murakami, H. (1986). Laminated Composite Plate Theory with Improved In-Plane Responses, J. Appl. Mech., 53: 661-666.
11. Liu, D. and Li, X. (1986). An Overall View of Laminate Theories Based on Displacement Hypothesis, J. Composite Mat., 30: 1539-1560.
12. Di Sciuva, M. (1992). Multilayered Anisotropic Plate Models with Continuous Interlaminar Stresses, Composite Structures, 22(3): 149-167.
13. Bhaskar, K. and Varadan, T.K. (1989). Refinement of Higher Order Laminated Plate Theories, AIAA Journal, 27: 1830-1831.
14. Lee, C.Y. and Liu, D. (1991). Interlaminar Stress Continuity Theory for Laminated Composite Analysis, AIAA Journal, 29: 2010-2012.
15. Cho, M. and Parmerter, R.R. (1993). Efficient Higher Order Composite Plate Theory for General Lamination Configurations, AIAA Journal, 31(7): 9-1306.
16. Cho, M. and Parmerter, R.R. (1994). Finite Element for Composite Plate Bending Based on Efficient Higher Order Theory, AIAA Journal, 32(11): 2241-2245.
17. Di Sciuva, M. (1993). A General Quadrilateral Multi-Layered Anisotropic Plate Element with Continuous Interlaminar Stresses, Computers and Structures, 47(1): 91-105.
18. Di Sciuva, M. (1995). A Third Order Triangular Multilayered Plate Finite Element with Continuous Interlaminar Stresses, Int. J. Numer. Methods in Engg., 38(1): 1-6.
19. Di Sciuva, M. and Icardi, U. (1995). Analysis of Thick Multi-Layered Anisotropic Plates by a Higher Order Plate Element, AIAA Journal, 33(12): 2435-2437.
20. Averill, R.C. (1994). Static and Dynamic Response of Moderately Thick Laminated Beams with Damage, Composites Engg., 4: 381-395.
21. Averill, R.C. and Yip, Y.C. (1996). An Efficient Thick Beam Theory and Finite Element Model with Zigzag Sublaminates Approximations, AIAA Journal, 34: 1626-1632.
22. Aitharaju, V.R. and Averill, R.C. (1999). Zigzag Kinematic Displacement Models for the Analysis of Laminated Composites, Mech. of Composite Mater. and Struc., 6(1): 31-56.
23. Aitharaju, V.R. and Averill, R.C. (1999). Zigzag Finite Element for Analysis of Laminated Composite Beams, J. Engg. Mech., 125(3): 323-330.
24. Icardi, U. (1998). Eight Noded Zigzag Element for Deflection and Stress Analysis of Plates with General Lay-Up, Composites Part B: Engg., 29: 435-441.
25. Icardi, U. (2001). A Three-Dimensional Zig-Zag Theory for Analysis of Thick Laminated Beams, Composite Structures, 52: 123-135.
26. Icardi, U. (2001). Higher Order Zig-Zag Model for Analysis of Thick Composite Beams with Inclusion of Transverse Normal Stress and Sublaminates Approximations, Composites Part B: Engg., 32: 343-354.
27. Bogner, F.K., Fox, R.L. and Schmidt, L.A. (October 1968). The Generation of Inter-Element Compatible Stiffness and Mass Matrices by the Use of Interpolation Formula. In: Proceedings of the Conference on Matrix Methods in Structural Mechanics, Wright Patterson Air Force Base, Ohio.
28. Di Sciuva, M. and Icardi, U. (2001). Numerical Assessment of the Core Deformability Effect on the Behaviour of Sandwich Beams, Composite Structures, 52: 41-53.
29. Di Sciuva and Icardi, U. (2000). On Modelling of Global and Local Response of Sandwich Plates with Laminated Faces, J. of Sandwich Structures and Materials, 2(10): 350-378.
30. Plantema, F.J. (1966). Sandwich Construction, Wiley, New York.
31. Allen, H.G. Analysis and Design of Structural Sandwich Panels, Pergamon Press, UK.
32. Pagano, N.J. (1970). Exact Solutions for Rectangular Bi-Directional Composites and Sandwich Plates, J. Composite Materials, 4: 20-34.
33. Reddy, J.N. and Chao, W.C. (1981). A Comparison of Closed Form and Finite Element Solutions of Thick, Laminated, Anisotropic Rectangular Plates, Nuclear Engineering and Design, 64: 153-167.
34. Azar, J.J. (1968). Bending Theory for Multilayer Orthotropic Sandwich Plates, AIAA Journal, 6: 2166-2169.
35. Khatua, T.P. and Cheung, Y.K. (1973). Bending and Vibration of Multilayer Sandwich Beams and Plates, Int. J. Numer. Methods in Engg., 6: 11-24.
36. Liaw, B.D. and Little, R.W. (1967). Theory of Bending of Multiplayer Sandwich Plates, AIAA Journal, 5: 301-304.
37. Pandya, B.N. and Kant, T. (1988). Higher Order Shear Deformable Theories for Flexure of Sandwich Plates-Finite Element Evaluations, Int. J. Solids Structures, 24(12): 1267-1286.