A layer-wise laminate theory rationally deduced from the three-dimenstonal elasticity

Journal of Applied Mechanics, Transactions ASME

Volumn 64, Issue 3, 1997, Pages 538-545

  Bisegna, P ^a   Sacco, E ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b UNIVERSITY OF CASSINO AND SOUTHERN LAZIO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000652393     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2788926     Document Type: Article

References (35)

1. Ambartsumyan, S. A., 1970, Theory of Anisotropic Plates, J. E. Ashton, ed. (T. Cheron, translator), Technomic, Stamford, pp. 73-80.
2. Antman, S. S., and Marlow, R. S., 1991, “Material Constraints, Lagrange Multiplier, and Compatibility. Applications to Rod and Shell Theories,” Arch. Rat. Mech. Anal, Vol. 116, pp. 257-299.
3. Barbero, E. J., and Reddy, J. N., 1989, “On a Generalized Laminate Plate Theory with Application to Bending, Vibration and Delamination Buckling in Composite Laminates,” Virginia Polytechnic Institute and State University Report CCMS-89-20, Blacksburg, VA.
4. Barbero, E. J., Reddy, J. N., and Teply, J. L., 1990, “An Accurate Determination of Stresses in Thick Laminates Using a Generalized Plate Theory,” Int. J. Numer. Meth. Engng., Vol. 29, pp. 1-14.
5. Bisegna, P., and Sacco, E., 1995, “Deduzione di Teorie di Piastre Laminate dalla Elasticità Tridimensionale,” Proceedings XIIA1META National Conference, L. Nunziante, ed., Francesco Giannini &Figli, Napoli, pp, 257-262.
6. Bisegna, P., and Sacco, E., 1997, “A Rational Deduction of Plate Theories from the Three-Dimensional Linear Elasticity,” Zeit. Angew. Math. Mech., Vol. 77, pp. 349-366.
7. Cauchy, A. L., 1829, “Sur l’Équilibre et le Mouvement d’une Plaque Élastique dont l’Élasticité n’est pas la Même dans Tous les Sens,” Exercises Math., Vol. 4, pp. 1-14.
8. Di Sciuva, M., 1987, “An Improved Shear Deformation Theory for Moderately Thick Multilayered Anisotropic Shells and Plates,” ASME Journal of Applied Mechanics, Vol. 54, pp. 589-596.
9. Di Sciuva, M., and leardi, U., 1993, “Discrete-Layer Models for Multilayered Shells Accounting for Interlayer Continuity,” Meccanica, Vol. 28, pp. 281-291.
10. Fraternali, F., and Reddy, J. N., 1993, “A Penalty Model for the Analysis of Laminated Composite Shells,” Int. J. Solids Struct., Vol. 30, pp. 3337-3355.
11. Gurtin, M. E., 1972, “The Linear Theory of Elasticity,” Handbuch der Physik, S. Flügge, ed., Band Vla/2, Spinger-Verlag, Berlin, pp. 129-131.
12. Hencky, H., 1947, “Über die Berücksichtigung der Schubverzerrung in ebenen Platten,” Ing. Arch., Vol. 16, pp. 72-76.
13. Lekhnitskii, S. G., 1968, Anisotropie Plates, S. W. Tsai, and T. Cheron, (translators) Gordon and Breach, New York, pp. 295-299.
14. Lembo, M., and Podio Guidugli, P., 1991, “Plate Theory as an Exact Consequence of Three-Dimensional Linear Elasticity,” European J. Mech. A/Solids, Vol. 10, pp. 485-516.
15. Lo, K. H., Christensen, R. M., and Wu, E. M., 1977, “A High-Order Theory of Plate Deformation. Part II: Laminated Plates,” ASME Journal of Applied Mechanics, Vol. 44, pp. 669-676.
16. Lo, K. H., Christensen, R. M., and Wu, E. M., 1978, “Stress Solution Determination for High-Order Plate Theory,” Int. J. Solids Struct., Vol. 14, pp. 655-662.
17. Luenberger, D. G., 1969, Optimization by Vector Space Methods, John Wiley and Sons, New York, pp. 240-253.
18. Lyusternik, L. A., 1934, “On Constrained Extrema of Functionals,” Mat. Sb., Vol. 41, pp. 390-401.
19. Mindlin, R. D., 1951, “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates,” ASME Journal of Applied Mechanics, Vol. 38, pp. 31-38.
20. Murthy, A. V. K., and Vellaichamy, S., 1987, “On Higher-Order Shear Deformation Theory of Laminated Composite Panels,” Composite Structures, Vol. 8, pp. 247-270.
21. Oden, J. T., and Reddy, J. N., 1976, Variational Methods in Theoretical Mechanics, Springer-Verlag, Berlin, pp. 104-114.
22. Pagano, N. J., 1970, “Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates,” J. Composite Materials, Vol. 4, pp. 20-34.
23. Podio-Guidugli, P., 1989, “An Exact Derivation of Thin Plates Equations,” J. Elasticity, Vol. 22, pp. 121-133.
24. Reddy, J. N., 1984, “A Simple Higher-Order Theory for Laminated Composite Plates,” ASME Journal of Applied Mechanics, Vol. 51, pp. 745-752.
25. Reddy, J. N., 1987, “A Generalization of Two-Dimensional Theories of Laminated Plates,” Commun. Appl. Numer. Meth., Vol. 3, pp. 173-180.
26. Reissner, E., 1945, “The Effect of Transverse Shear Deformation on the Bending of Elastic Plates,” ASME Journal of Applied Mechanics, Vol. 12, pp. 6977.
27. Reissner, E., 1950, “On a Variational Theorem in Elasticity,” J. Math, and Phys., Vol. 29, pp. 90-95.
28. Reissner, E., and Stavsky, Y., 1961, “Bending and Streching of Certain Types of Heterogeneous Aelotropic Elastic Plates,” ASME Journal of Applied Mechanics, Vol. 28, pp. 402-412.
29. Seide, P., 1980, “An Improved Approximate Theory for Bending of Laminated Plates,” Mech. Today, Vol. 5, pp. 451-466.
30. Srinivas, S., and Rao, A. K., 1970, “Bending, Vibration and Buckling of Simply Supported Thick Orthotropic Rectangular Plates and Laminates,” Int. J. Solids Structures, Vol. 6, pp. 1463-1481.
31. Stavsky, Y., 1961, “Bending and Streching of Laminated Aelotropic Plates,” Proc. Am. Soc. Civil Engrs.: J. Engr. Mech. Div., Vol. 87, pp. 31-42.
32. Washizu, K., 1968, Variational Methods in Elasticity and Plasticity, Pergamon Press, Oxford, UK, pp. 98-104.
33. Whitney, J. M., and Pagano, N. J., 1970, “Shear Deformation in Heterogeneous Anisotropic Plates,” ASME Journal of Applied Mechanics, Vol. 37, pp. 1031-1036.
34. Xianquiang, L., and Dahsin, L., 1992, “An Interlaminar Shear Stress Continuity Theory for both Thin and Thick Composite Laminate,” ASME Journal of Applied Mechanics, Vol. 59, pp. 502-509.
35. Yang, P. C., Norris, C. H., and Stavsky, Y., 1966, “Elastic Wave Propagation in Heterogeneous Plates,” Int. J. Solids Struct., Vol. 2, pp. 665-684.