Modelling of laminates using a layerwise element with enhanced strains

International Journal for Numerical Methods in Engineering

Volumn 43, Issue 4, 1998, Pages 755-779

  Dakshina Moorthy, C M ^a   Reddy, J N ^a  

^a Texas AandM University   (United States)

Author keywords

Delaminators; Enhanced strains; Interlaminar stresses; Laminates; Layerwise element; Strain energy release rates

Indexed keywords

CRACKS; DELAMINATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRAIN RATE; STRESS ANALYSIS;

INTERLAMINAR STRESS; LAYERWISE ELEMENTS;

LAMINATED COMPOSITES;

EID: 0032182889     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0207(19981030)43:4<755::aid-nme449>3.0.co;2-n     Document Type: Article

References (34)

1. J. N. Reddy, Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, Boca Raton, FL, 1997.
2. D. H. Robbins, Jr. and J. N. Reddy, 'Modeling of thick composites using a layerwise laminate theory', Int. J. Numer. Meth. Engng., 36, 655-677 (1993).
3. V. B. Watwood, 'The finite element method for prediction of crack behavior', Nucl. Engng. Des., 11, 323-332 (1969).
4. G. P. Anderson, V. L. Ruggles and G. S. Stibor, 'Use of finite element computer programs in fracture mechanics', Int. J. Fracture, 1, 63-76 (1971).
5. D. F. Mowbray, 'A note of finite element method in linear fracture mechanics', Engng. Fracture Mech., 2, 173 (1970).
6. S. A. Salpekar, I. S. Raju and T. K. O'Brien, 'Strain energy release rate analysis of the end-notched flexure specimen using finite element method', J. Comp. Technol. Res., 10, 133-139 (1988).
7. E. F. Rybicki and M. F. Kanninen, 'A finite element calculation of stress intensity factors by a modified crack closure integral', Engng. Fracture Mech., 9, 931-938 (1977).
8. K. N. Shivakumar, P. W. Tan and J. C. Newman, 'A virtual crack-closure technique for calculating stress intensity factors for cracked three dimensional bodies', Int. J. Fracture, 36, R43-R50 (1988).
9. J. D. Whitcomb, 'Three dimensional analysis of a post buckled embedded delaminations', J. Comp. Mater., 23, 862-889 (1989).
10. T. K. O'Brien, 'Interlaminar fracture of composites', J. Aeronaut. Soc. India, 37, 61-70 (1985).
11. J. D. Whitcomb, 'Finite element analysis of instability related delamination growth', J. Comp. Mater., 15, 403-426 (1981).
12. J. D. Whitcomb and K. N. Shivakumar, 'Strain energy release rate analysis of plates with post buckled delaminations', J. Comp. Mater., 23, 714-734 (1989).
13. J. D. Whitcomb, 'Analysis of instability related growth through width delamination', NASA, TM 86301, Langley Reserch Center, Hampton, VA (1984).
14. H. Chai, C. D. Babcock and W. G. Knauss, 'One dimensional modeling of failure in laminated plates by delamination buckling', Int. J. Solids Struct., 17, 1063-1083 (1981).
15. G. J. Simitses, S. Sallam and W. L. Yin, 'Effect of delamination of axially loaded homogeneous laminated plates', AIAA J., 23, 1437-1444 (1985).
16. W. L. Yin, 'Axisymmetric buckling and growth of a circular delamination in a compressed laminate', Int. J. Solids Struct., 21, 503-514 (1985).
17. W. L. Yin and K. C. Jane, 'Refined buckling and post buckling analysis of two-dimensional delaminations - I: Analysis and validation', Int. J. Solids Struct., 29, 591-610 (1992).
18. S. Sallam and G. J. Simitses, 'Delamination buckling and growth of flat cross-ply laminates', Comp. Struct., 4, 361-381 (1985).
19. W. L. Yin, "Effect of laminated structure on delamination buckling and growth', J. Comp. Mater., 22, 502-516 (1988).
20. A. C. Garg, 'Delamination - a damage mode in composite structure', Engng. Fracture Mech., 29, 557-584 (1988).
21. W. J. Bottega, 'On thin film delamination growth in a contracting cylinder', Int. J. Solids Struct., 24, 13-26 (1988).
22. W. Yin, 'Snap buckling of a delaminated layer in a composite cylinder', Proc. 4th Int. Conf. on Engineering, Construction and Operations in Space, ASCE, New York, 1994, pp. 156-165.
23. Z. Q. Chen and G. J. Simitses, 'Delamination buckling of pressure loaded cross-ply lamimted cylindrical shells', Z. Agnew. Math. Mech., 68, 491-501 (1988).
24. V. P. Troshin, 'Effect of longitudinal delamination in a laminar cylindrical shell on the critical external pressure', J. Comp. Mater., 17, 563-567 (1983).
25. J. N. Reddy, Applied Functional Analysis and Variational Methods in Engineering, McGraw-Hill, New York, 1986; reprinted by Krieger, Melbourne, FL, 1990.
26. J. N. Reddy, An Introduction to the Finite Element Method, 2nd ed., McGraw-Hill, New York, 1993.
27. Z. Zhong, Finite Element Procedures for Contact-Impact Problems, Oxford University Press, New York, NY, 1993.
28. J. C. Simo and T. J. R. Hughes, 'On the variational foundations of assumed strain methods', J. Appl. Mech., 53, 51-54 (1986).
29. J. C. Simo and M. S. Rifai, 'A class of mixed assumed strain methods and the method of incompatible modes', Int. J. Numer. Meth. Engng., 29, 1595-1638 (1990).
30. J. C. Simo and F. Armero, 'Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes', Int. J. Numer. Meth. Engng., 33, 1413-1449 (1992).
31. N. Buchter, E. Ramm and D. Roehl, 'Three dimensional extensions of non-linear shell formulations based on the enhanced assumed strain concept', Int. J. Numer. Meth. Engng., 37, 2551-2568 (1994).
32. C. M. Dakshina Moorthy, 'Modeling of laminates using a layerwise finite element with enhanced strains for interlaminar stress recovery and delamination characteristics', Ph.D. dissertation, Department of Mechanical Engineering, Texas A&M University, College Station, Texas, May 1997.
33. D. H. Robbins, Jr. and J. N. Reddy, 'The effects of kinematic assumptions on computed strain energy release rates for delaminated composite plates', Math. Modelling Sci. Comput., 1(1, 2), 50-66 (1993).
34. E. J. Barbero and J. N. Reddy, 'Modeling of delamination in composite laminates using a layer-wise plate theory', Int. J. Solids Struct., 28(3), 373-388 (1991).