Nonlinear transient response of strain rate dependent composite laminated plates using multiscale simulation

International Journal of Solids and Structures

Volumn 43, Issue 9, 2006, Pages 2602-2630

  Zhu, Linfa ^a   Chattopadhyay, Aditi ^a   Goldberg, Robert K ^b  

^a Arizona State University   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

Author keywords

Composite laminates; Micromechanics model; Multiscale simulation; Transient response

Indexed keywords

COMPOSITE MICROMECHANICS; COMPUTER SIMULATION; DEFORMATION; ELASTICITY; LAMINATED COMPOSITES; STRAIN RATE;

INELASTICITY; MICROMECHANICS MODEL; MULTISCALE SIMULATION;

PLATES (STRUCTURAL COMPONENTS);

EID: 33644870701     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.06.033     Document Type: Article

References (42)

1. J.A. Aboudi Micromechanical analysis of composites by the method of cells Applied Mechanics Review 42 1989 193 221
2. Anonymous, ABAQUS/Explicit Users Manual, Version 6.4, ABAQUS, Inc., Pawtucket, RI, 2003.
3. J. Argyris, and H.P. Mlejnek Dynamics of Structures. Text on Computational Mechanics vol. 5 1991 Elsevier Science Publishers
4. K.J. Bathe Finite Element Procedures 1996 Prentice-Hall Englewood Cliffs, NJ
5. S.R. Bodner Unified Plasticity for Engineering Applications 2002 Kluwer Academic/Plenum Publishers New York
6. A. Chattopadhyay, and H. Gu New higher-order plate theory in modeling delamination buckling of composite laminates AIAA Journal 32 8 1994 1709 1716
7. T.S. Chow On the propagation of flexural waves in anorthotropic laminated plate and its response to an impulsive load Journal of Composite Materials 5 1971 306 319
8. R.D. Cook, D.S. Malkus, and M.E. Plesha Concepts and Applications of Finite Element Analysis third ed. 1989 Wiley NY
9. W. Flugge Stresses in Shells 1967 Springer-Verlag New York
10. Goldberg, R.K., 2000. Implementation of Laminate Theory Into Strain Rate Dependent Micromechanics Analysis of Polymer Matrix Composites, NASA/TM-2000-210351, National Aeronautics and Space Administration, Washington, DC.
11. Goldberg, R.K., Roberts, G.D., Gilat, A., 2003. Implementation of an Associative Flow Rule Including Hydrostatic Stress Effects Into the High Strain Rate Deformation Analysis of Polymer Matrix Composites, NASA/TM-2003-212382, National Aeronautics and Space Administration, Washington, DC.
12. R.K. Goldberg, G.D. Roberts, and A. Gilat Analytical studies of the high rate tensile response of a polymer matrix composite Journal of Advanced Materials 36 3 2004 14 24
13. T. Kant, and R.K. Khare Finite-element thermal-stress analysis of composite laminates using a higher-order theory Journal of Thermal Stresses 17 2 1994 229 255
14. T. Kant, and Mallikarjuna Nonlinear dynamics of laminated plates with a higher-order theory and Co finite-elements International Journal of Non-Linear Mechanics 26 3-4 1991 335 343
15. T. Kant, R.V. Ravichandran, and B.N. Pandya Finite-element transient dynamic analysis of isotropic and fiber reinforced composite plates using a higher-order theory Composite Structures 9 4 1988 319 342
16. T. Kant, J.H. Varaiya, and C.P. Arora Finite-element transient analysis of composite and sandwich plates based on a refined theory and implicit time integration schemes Computers & Structures 36 3 1990 401 420
17. T. Kant, C.P. Arora, and J.H. Varaiya Finite-element transient analysis of composite and sandwich plates based on a refined theory and a mode superposition method Composite Structures 22 2 1992 109 120
18. R.K. Kapania, and S. Raciti Recent advances in analysis of laminated beams and plates: Part I: Shear effects and buckling AIAA Journal 27 7 1989 923 934
19. A.A. Khdeir, and J.N. Reddy Thermal stresses and deflections of cross-ply laminated plates using refined plate theories Journal of Thermal Stresses 14 4 1991 419 438
20. A.A. Khdeir, M.D. Rajab, and J.N. Reddy Thermal effects on the response of cross-ply laminated shallow shells International Journal of Solids and Structures 29 5 1992 653 667
21. Kim, H.S., Zhu, L.F., Chattopadhyay, A., Goldberg, R.K., 2004. Implementation of Higher Order Laminate Theory Into Strain Rate Dependent Micromechanics Analysis of Polymer Matrix Composites, 45th AIAA/ASME/ASCE/AHS/ ASC Structures, Structural Dynamics & Materials Conference, Palm Springs, CA, April 19-22.
22. J.R. Kommineni, and T. Kant Large deflection elastic and inelastic transient analyses of composite and sandwich plates with a refined theory Journal of Reinforced Plastics and Composites 12 11 1993 1150 1170
23. F.Z. Li, and J. Pan Plane-stress crack-tip fields for pressure-sensitive dilatant materials Journal of Applied Mechanics 57 1990 40 49
24. Mallikarjuna, and T. Kant Finite-element transient-response of composite and sandwich plates with a refined higher-order theory Journal of Applied Mechanics-Transactions of the ASME 57 4 1990 1084 1086
25. Mallikarjuna, and T. Kant A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches Composite Structures 23 4 1993 293 312
26. S.K. Mital, P.L.N. Murthy, and C. Chamis Micromechanics for ceramic matrix composites via fiber substructuring Journal of Composite Materials 29 1995 614 633
27. A.K. Noor, and W.S. Burton Assessment of shear deformation theories for multilayered composite plates Applied Mechanics Reviews 42 1 1989 1 13
28. Pao, Y.C., 1972. On higher-order theory for thermoelastic analysis of heterogeneous orthotropic cylindrical shells. In: Proceedings of Southern, Conference on Theoretical and Applied Mechanics, 6th Tampa, FL, March 23, 24 (1972), University of South Florida, 1972, pp. 787-806.
29. M.J. Pindera, and B.A. Bednarcyk An efficient implementation of the generalized method of cells for unidirectional, multi-phased composites with complex microstructures Composites: Part B 30 1999 87 105
30. J.N. Reddy On the solutions to forced response of rectangular composite plates Journal of Applied Mechanics 49 1982 403 408
31. J.N. Reddy Dynamic (transient) analysis of layered anisotropic composite material plates International Journal for Numerical Methods in Engineering 19 1983 237 255
32. J.N. Reddy A simple higher-order theory for laminated composite plates Journal of Applied Mechanics 51 4 1984 745 752
33. J.N. Reddy A review of refined theories of composite laminates Shock and Vibration Digest 22 1990 3 17
34. J.N. Reddy Mechanics of Laminated Composite Plates: Theory and Analysis 1997 CRC Press Boca Raton
35. D.D. Robertson, and S. Mall Micromechanical relations for fiber-reinforced composites using the free transverse shear approach Journal of Composites Technology and Research 15 1993 181 192
36. D.C. Stouffer, and L.T. Dame Inelastic Deformation of Metals. Models, Mechanical Properties and Metallurgy 1996 John Wiley and Sons New York
37. C.T. Sun, and J.L. Chen A micromechanics model for plastic behavior of fibrous composites Composites Science and Technology 40 1991 115 129
38. H.F. Tiersten Hamilton's principle for linear piezoelectric media IEEE Proceedings 55 8 1967 1523 1524
39. T.K. Varadan, and K. Bhaskar Review of different laminate theories for the analysis of composite Journal of Aeronautics Society of India 49 1997 202 208
40. A.S.D. Wang, J.L. Rose, and P.C. Chou Strongly coupled stress waves in heterogeneous plates AIAA Journal 10 8 1972 1088 1090
41. J.M. Whitney The effect of transverse shear deformation in the bending of laminated plates Journal of Composite Materials 3 1969 534 547
42. J.M. Whitney A laminate analogy for micromechanics G.M. Newaz Proceedings of the American Society for Composites Eighth Technical Conference 1993 Technomic Publishing Co. Lancaster, PA 785 794