A geometrically nonlinear shear deformation theory for composite shells

Journal of Applied Mechanics, Transactions ASME

Volumn 71, Issue 1, 2004, Pages 1-9

  Yu, Wenbin ^a,b   Hodges, Dewey H ^a  

^a Georgia Institute of Technology   (United States)

^b Utah State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR ROTATIONS; SHELL EQUATIONS; STRESS-STRAIN RELATIONS; VARIATIONAL ASYMPTOTIC METHOD (VAM);

BOUNDARY CONDITIONS; CONTINUUM MECHANICS; ELASTICITY; NONLINEAR EQUATIONS; PROBLEM SOLVING; ROTATION; SHEAR DEFORMATION; STRAIN; STRESS ANALYSIS; VIBRATIONS (MECHANICAL);

SHELLS (STRUCTURES);

EID: 8744307810     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1640364     Document Type: Article

References (24)

1. Yu, W., 2002, "Variational Asymptotic Modeling of Composite Dimensionally Reducible Structures," Ph.D. thesis, Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, May.
2. Campbell, A., 1913, "On Vibration Galvanometer With Unifilar Torsional Control," Proceedings of the Physical Society, 25, pp. 203-205.
3. Pealing, H., 1913, "On an Anomalous Variation of the Rigidity of Phosphor Bronze," Philos. Mag., 25(147), pp. 418-427.
4. Buckley, J. C., 1914, "The Bifilar Property of Twisted Strips," Philos. Mag., 28, pp. 778-785.
5. Wagner, H., 1936, "Torsion and Buckling of Open Sections," Paper No. NACA TM 807.
6. Love, A. E. H., 1944, Mathematical Theory of Elasticity, 4th Ed., Dover Publications, New York.
7. Cosserat, B., and Cosserat, F., 1909, Théorie des Corps Deformables, Hermann, Paris.
8. Naghdi, P. M., 1972, "The Theory of Shells and Plates," Handbuch der Physik, Springer-Verlag, Berlin. 6(a/2), pp. 425-640.
9. Simo, J. C., and Fox, D. D., 1989, "On a Stress Resultant Geometrically Exact Shell Model. Part I: Formulation and Optimal Parametrization," Comput. Methods Appl. Mech. Eng., 72, pp. 267-304.
10. Simo, J. C., and Fox, D. D., 1989, "On a Stress Resultant Geometrically Exact Shell Model. Part II: The Linear Theory; Computational Aspects," Comput. Methods Appl. Mech. Eng., 73, pp. 53-92.
11. Ibrahimbegovic, A., 1994, "Stress Resultant Geometrically Nonlinear Shell Theory With Drilling Rotations - Part I. A Consistent Formulation," Comput. Methods Appl. Mech. Eng., 118, pp. 265-284.
12. Kratzig, W. B., 1993, "'Best' Transverse Shearing and Stretching Shell Theory for Nonlinear Finite Element Simulations," Comput. Methods Appl. Mech. Eng., 103(1-2), pp. 135-160.
13. Reissner, E., 1974, "Linear and Nonlinear Theory of Shells," Thin Shell Structures, Y. C. Fung and E. E. Sechler, eds., Prentice-Hall, Englewood Cliffs, NJ, pp. 29-44.
14. Reddy, J. N., 1997, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL.
15. Libai, A., and Simmonds, J. G., 1998, The Nonlinear Theory of Elastic Shells, 2nd Ed., Cambridge University Press, Cambridge, UK.
16. Berdichevsky, V. L., 1979, "Variational-Asymptotic Method of Constructing a Theory of Shells," Prikl. Mat. Mekh., 43(4), pp. 664-687.
17. Yu, W., Hodges, D. H., and Volovoi, V. V., 2002, "Asymptotic Generalization of Reissner-Mindlin Theory: Accurate Three-Dimensional Recovery for Composite Shells," Comput. Methods Appl. Mech. Eng., 191(44), pp. 4971-5112.
18. Hodges, D. H., Atilgan, A. R., and Danielson, D. A., 1993, "A Geometrically Nonlinear Theory of Elastic Plates," ASME J. Appl. Mech., 60, pp. 109-116.
19. Simmonds, J. G., and Danielson, D. A., 1972, "Nonlinear Shell Theory With Finite Rotation and Stress-Function Vectors," ASME J. Appl. Mech., 39, pp. 1085-1090.
20. Kane, T. R., Likins, P. W., and Levinson, D. A., 1983, Spacecraft Dynamics, McGraw-Hill, New York.
21. Hodges, D. H., 1987, "Finite Rotation and Nonlinear Beam Kinematics," Vertica, 11(1/2), pp. 297-307.
22. Reissner, E., 1986, "On Finite Deflections of Anisotropic Laminated Elastic Plates," Int. J. Solids Struct., 22(10), pp. 1107-1115.
23. Axelrad, E. L., 1986, Theory of Flexible Shells, Elsevier, Amsterdam.
24. Hodges, D. H., 1990, "A Mixed Variational Formulation Based on Exact Intrinsic Equations for Dynamics of Moving Beams," Int. J. Solids Struct., 26(11), pp. 1253-1273.