Equivalent single-layer and layerwise shell theories and rigid-body motions - Part II: Computational aspects

Mechanics of Advanced Materials and Structures

Volumn 12, Issue 5, 2005, Pages 331-340

  Kulikov, G M ^a   Plotnikova, S V ^a  

^a TAMBOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MEMBRANES;

EQUIVALENT SINGLE-LAYER (ESL); LAYER-WISE (LW) SHELL ELEMENTS;

SHELLS (STRUCTURES);

EID: 27844542147     PISSN: 15376494     EISSN: 15376532     Source Type: Journal    
DOI: 10.1080/15376490500182057     Document Type: Article

References (26)

1. G. M. Kulikov and S. V. Plotnikova, Equivalent Single-Layer and Layerwise Shell Theories and Rigid-Body Motions - Part I: Foundations, Mech. Advanced Mater. Struct., vol. 12, 2005.
2. G. Wempner, D. Talaslidis, and C. M. Hwang, A Simple and Efficient Approximation of Shells via Finite Quadrilateral Elements, J. Appl. Mech., vol. 49, pp. 115-120, 1982.
3. G. M. Kulikov and S. V. Plotnikova, Non-Conventional Non-Linear Two-Node Hybrid Stress-Strain Curved Beam Elements, Finite Elements Anal. Des., vol. 40, pp. 1333-1359, 2004.
4. G. M. Kulikov and S. V. Plotnikova, Finite Deformation Plate Theory and Large Rigid-Body Motions, Int. J. Non-Linear Mech., vol. 39, pp. 1093-1109, 2004.
5. G. M. Kulikov and S. V. Plotnikova, Simple and Effective Elements Based upon Timoshenko- Mindlin Shell Theory, Comput. Meth. Appl. Mech. Eng., vol. 191, pp. 1173-1187, 2002.
6. G. M. Kulikov and S. V. Plotnikova, Non-Linear Strain-Displacement Equations Exactly Representing Large Rigid-Body Motions. Part I. Timoshenko-Mindlin Shell Theory, Comput. Meth. Appl. Mech. Eng., vol. 192, pp. 851-875, 2003.
7. S. Ahmad, B. M. Irons, and O. C. Zienkiewicz, Analysis of Thick and Thin Shell Structures by Curved Shell Elements, Int. J. Numer: Meth. Eng., vol. 2, pp. 419-451, 1970.
8. K. J. Bathe, Finite Element Procedures, Prentice Hall, New Jersey, 1996.
9. B. F. Vlasov, On the Bending of Rectangular Thick Plate, Trans. Moscow State Univ., vol. 2, pp. 25-31, 1957 (in Russian).
10. S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, 2nd ed., McGraw-Hill, New York, 1959.
11. N.J. Pagano, Exact Solutions for Composite Laminates in Cylindrical Bending, J. Composite Mater., vol. 3, pp. 398-411, 1969.
12. E. Carrera, Transverse Normal Stress Effects in Multilayered Plates, J. Appl. Mech., vol. 66, pp. 1004-1012, 1999.
13. H. Murakami, Laminated Composite Plate Theory with Improved In-Plane Responses, J. Appl. Mech., vol. 53, pp. 661-666, 1986.
14. E. I. Grigolyuk and G. M. Kulikov, Toward a Theory of Elastic Laminated Anisotropic Shells, Soviet Physics Doklady, vol. 29, pp. 344-345, 1984.
15. E.I. Grigolyuk and G. M. Kulikov, Multilayered Reinforced Shells: Analysis of Pneumatic Tires, Mashinostroyenie, Moscow, 1988 (in Russian).
16. G. M. Kulikov, Analysis of Initially Stressed Multilayered Shells, Int. J. Solids Struct., vol. 38, pp. 4535-4555, 2001.
17. G. M. Kulikov, Non-Linear Analysis of Multilayered Shells under Initial Stress, Int. J. Non-Linear Mech., vol. 36, pp. 323-334, 2001.
18. N. J. Pagano, Influence of Shear Coupling in Cylindrical Bending of Anisotropic Laminates, J. Composite Mater., vol. 4, pp. 330-343, 1970.
19. T. J. R. Hughes and W. K. Liu, Nonlinear Finite Element Analysis of Shells. Part II: Two-Dimensional Shells, Comput. Meth. Appl. Mech. Eng., vol. 27, pp. 167-182, 1981.
20. D. Lam, W. K. Liu, E. S. Law, and T. Belytschko, Resultant-Stress Degenerated-Shell Element, Comput. Meth. Appl. Mech. Eng., vol. 55, pp. 259-300, 1986.
21. K. J. Bathe and E. N. Dvorkin, A Formulation of General Shell Elementsthe Use of Mixed Interpolation of Tensorial Components, Int. J. Numer. Meth. Eng., vol. 22, pp. 697-722, 1986.
22. J. C. Simo, D. D. Fox, and M. S. Rifai, On a Stress Resultant Geometrically Exact Shell Model. Part II: The Linear Theory; Computational Aspects, Comput. Meth. Appl. Mech. Eng., vol. 73, pp. 53-92, 1989.
23. G. R. Heppler and J. S. Hansen, A Mindlin Element for Thick and Deep Shells, Comput. Meth. Appl. Mech. Eng., vol. 54, pp. 21-47, 1986.
24. Y. Basar, Y. Ding, and R. Schultz, Refined Shear-Deformation Models for Composite Laminates with Finite Rotations, Int. J. Solids Struct., vol. 30, pp. 2611-2638, 1993.
25. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, 3rd ed., McGraw-Hill, New- York, 1970.
26. R. H. MacNeal and R. L. Harder, A Proposed Standard Set of Problems to Test Finite Element Accuracy, Finite Elements Anal. Des., vol. 1, pp. 3-20, 1985.