Beam elements based on a higher order theory - I. Formulation and analysis of performance

Computers and Structures

Volumn 58, Issue 4, 1996, Pages 775-789

  Vinayak, R U ^b   Prathap, G ^a,b   Naganarayana, B P ^b  

^a JAWAHARLAL NEHRU CENTRE FOR ADVANCED SCIENTIFIC RESEARCH   (India)

^b SURFACE ENGINEERING DIVISION   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; ERROR ANALYSIS; FINITE ELEMENT METHOD; FLEXIBLE STRUCTURES; LAMINATED COMPOSITES; MATHEMATICAL MODELS; PLATES (STRUCTURAL COMPONENTS); SHEAR STRESS; STRUCTURAL ANALYSIS;

LO-CHRISTENSEN-WU HIGHER ORDER THEORY;

COMPOSITE BEAMS AND GIRDERS;

EID: 0030081730     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00185-J     Document Type: Article

References (29)

1. E. Reissner, The effect of transverse shear deformation on the bending of elastic plates. J. appl. Mech. 12, A69-A77 (1945).
2. R. D. Mindlin, Influence of rotatory inertia and shear deformation on flexural motions of isotropic elastic plates. J. appl. Mech. 18, 31-38 (1951).
3. J. N. Reddy, A review of the literature on finite element modelling of laminated composite plates. Shock Vibr. Digest 17, 3-8 (1985).
4. R. K. Kapania and S. Raciti, Recent advances in analysis of laminated beams and plates. Part I: shear effects and buckling. AIAA J. 27, 923-934 (1989).
5. R. K. Kapania and S. Raciti, Recent advances in analysis of laminated beams and plates, Part II: vibrations and wave propagation. AIAA J. 27, 935-946 (1989).
6. K. H. Lo, R. M. Christensen and E. M. Wu, A higher order theory for plate deformations, Part 1: homogeneous plates. J. appl. Mech. 44, 663-668 (1977).
7. K. H. Lo, R. M. Christensen and E. M. Wu, A higher order theory for plate deformations, Part 2: laminated plates. J. appl. Mech. 44, 669-676 (1977).
8. 0 plate bending element. Comput. Struct. 15, 177-183 (1982).
9. T. Kant and B. N. Pandya, Finite element stress analysis of unsymmetrically laminated composite plates based on a refined higher order theory. In: Proc. Int. Conf. on Composite Materials and Structures (Edited by K. A. V. Pandalai and S. K. Malhotra), Madras, pp. 373-380, 6-9, January (1988).
10. M. Levinson, An accurate, simple theory of the statics and dynamics of elastic plates. Mech. Res. Commun. 7, 343-350 (1980).
11. M. V. V. Murthy, An improved transverse shear deformation theory for laminated anisotropic plates, NASA TP 1903 (1981).
12. J. N. Reddy, A simple higher order theory for laminated composites. J. appl. Mech. 51, 742-745 (1984).
13. P. Rama Mohan, B. P. Naganarayana and G. Prathap, Consistent and variationally correct finite elements for higher order laminated plate theory. TM ST 9301, National Aerospace Laboratories, Bangalore, India (1993).
14. 0 laminated plate elements based on a higher order transverse deformation theory (in press).
15. G. Prathap, The Finite Element Method in Structural Mechanics. Kluwer Academic Press, Dordrecht (1993).
16. R. M. Jones, Mechanics of Composite Materials. McGraw-Hill, New York (1975).
17. B. D. Agarawal and L. J. Broutman, Analysis and Performance of Fiber Composites, 2nd Edn. Wiley, New York (1990).
18. S. W. Tsai and H. T. Hahn, Introduction to Composite Materials. Technomic Publishing (1980).
19. B. S. Manjunatha and T. Kant, Different numerical techniques for the estimation of multiaxial stresses in symmetric/unsymmetric composites and sandwich beams with refined theories. J. Reinforced Plast. Compos. 12, 2-37 (1993).
20. 0 finite elements. Comput. Struct. 33, 755-764 (1989).
21. 0 finite elements. Fin. Elem. Anal. Des. 6, 303-320 (1990).
22. B. Venkatraman and S. A. Patel, Structural Mechanics with Introduction to Elasticity and Plasticity. McGraw-Hill, New York (1970).
23. G. Prathap, R. U. Vinayak and B. P. Naganarayana, Beam elements based on a higher order theory - II. Boundary layer sensitivity and stress oscillations Comput. Struct. 58, 791-796 (1996).
24. G. Prathap and B. P. Naganarayana, 3D-FEES -Theoretical manual, PD ST 9005, N.A.L. Bangalore, India (1990).
25. N. J. Pagano, Exact solution for composite laminates in cylindrical bending. J Comput. mater. 3, 398-410 (1969).
26. Wen-Jinn Liou and C. T. Sun, A three-dimensional hybrid stress isoparametric element for the analysis of laminated composite plates. Comput. Struct. 25, 241-249 (1987).
27. R. L. Spilker, Hybrid stress eight node elements for thin and thick multilayered laminated plates. Int. J. numer. Meth. Engng 18, 801-828 (1982).
28. J. J. Engblom and O. O. Ochoa, Through the thickness stress predictions for laminated plates of advanced composite materials. Int. J. numer. Meth. Engng 21, 1759-1776 (1985).
29. K. H. Lo, R. M. Chnstensen and E. M. Wu, Stress solution determination for higher order plate theory. Int. J. Solids Struct. 14, 655-662 (1978).