The s-version of finite element method for laminated composites

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 21, 1996, Pages 3641-3662

  Fish, Jacob ^a   Guttal, Ravi ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Laminated composites; Mesh superposition; Shell finite elements

Indexed keywords

FINITE ELEMENT METHOD; ITERATIVE METHODS; MATHEMATICAL MODELS; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); STRAIN; STRESS ANALYSIS;

SINGLE LAYER MODEL; STRAIN FORMATIONS;

LAMINATED COMPOSITES;

EID: 0030286891     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0207(19961115)39:21<3641::aid-nme17>3.0.co;2-p     Document Type: Article

References (32)

1. J. N. Reddy and D. H. Robbins, 'Theories and computational models for composite laminates', Appl. Mech. Rev., 47, 147-169 (1994).
2. J. Fish and S. Markolefas, 'Adaptive global-local refinement strategy based on interior error estimates of the h-method', Int. j. numer. methods eng., 37, 828-838 (1994).
3. I. Babuska, S. Stroubulis, C. S. Upadhyay and S. K. Gangaraj, 'A posterior estimation and adaptive control of the polluting error in the h-version of the finite element method', Technical note BN-1175, Institute for Physical Science and Technology, Univ. of Maryland, College Park, MD.
4. S. F. McCormick and J. W. Thomas, 'The fast adaptive composite grid (FAC) method for elliptic equations', Math. Comp., 46, 439-456 (1986).
5. J. Bramble, R. E. Ewing, J. E. Pasciak and A. H. Schatz, 'A preconditioning technique for the efficient solution of problems with local grid refinement', Comp. Meth. Appl. Mech. Eng., 67, 149-159 (1988).
6. J. E. Flaherty, P. K. Moore and C. Ozturan, 'Adaptive overlapping methods for parabolic systems', in J. E. Flaherty, P. J. Paslow, M. S. Shephard and J. D. Vasilakis (eds.), Adaptive Methods for Partial Differential Equations, SIAM, Philadelphia, PA, 1989.
7. J. D. Whitcomb, 'Iterative global-local finite element analysis', Comput. Struct., 40, 1027-1031 (1991).
8. J. Fish and V. Belsky, 'Multigrid method for periodic heterogeneous media. Part 2: Multiscale modeling and quality control in multidimensional case', Comp. Methods Appl. Mech. Eng., 126, 17-38 (1995).
9. A. Brandt, 'Multi-level adaptive solutions to boundary-value problems', Math. Comp., 31, 333-390 (1977).
10. J. Fish, S. Markolefas, R. Guttal and P. Nayak, 'On adaptive multilevel superposition of finite element meshes for linear elastostatics', Appl. Numer. Math., 14, 135-164 (1994).
11. J. Fish, 'The s-version of the finite element method', SCOREC report #18-1990, Rensselaer Polytechnic Institute Troy, NY 12180; and Comput. Struct., 43, 539-547 (1990).
12. J. Fish, 'The s-version of the finite element method', SCOREC report #18-1990, Rensselaer Polytechnic Institute Troy, NY 12180; and Comput. Struct., 43, 539-547 (1990).
13. J. Fish, 'Hierarchical modeling of discontinuous fields', Commun. appl. numer. methods, 8, 443-453 (1992).
14. J. Fish and S. Markolefas, 'The s-version of the finite element method for multi-layer laminates', Int. j. numer. methods eng., 33, 1081-1105 (1992).
15. J. Fish and R. Guttal, 'The p-version of finite element method for shell analysis', Comp. Mech. Int. J., 16, 1-13 (1995).
16. T. Belytschko, J. Fish and A. Bayliss, 'The spectral overlay on finite elements for problems with high gradients', Comp. Methods Appl. Mech. Eng., 81, 71-89 (1990).
17. H. Yserentant, 'On multilevel splitting of finite element spaces', Numer. Math., 49, 379-412 (1986).
18. J. Fish, V. Belsky and M. Pandheeradi, 'Composite grid method for hybrid systems', Comp. Methods Appl. Mech. Eng., (1996) (accepted).
19. A. K. Noor, W. S. Burton and I. M. Peters, 'Predictor-corrector procedures for stress and free vibration analyses of multilayered composite plates and shells', Comp. Methods Appl. Mech. Eng., 82, 341-363 (1990).
20. N. F. Knight, J. B. Ransom, O. H. Griffin and D. M. Thompson, 'Global/local methods research using a common structural analysis framework', Finite Elements Anal. Des., 9, 91-112 (1991).
21. K. M. Mao and C. T. Sun, 'A refined global-local finite element analysis method', Int. j. numer. methods eng., 32, 29-43 (1991).
22. B A. Szabo and I. Babuska, Finite element Analysis, Wiley, New York, 1991.
23. 0 shell element based on assumed natural coordinate strains', J. Appl. Mech., 108, 278-290 (1986).
24. T. J. R. Hughes, The Finite Element Method, Prentice-Hall, Englewood Cliffs, N.J., 1987.
25. H. Hinnant, 'A fast method of numerical quadrature for p-version finite element matrices', A.I.A.A., 1386 (1993).
26. R. E. Bank, T. F. Dupont and H. Yserentant, 'The hierarchical basis multigrid method', Numer. Math., 52, 427-458 (1988).
27. J. D. Whitcomb, I. S. Raju and J. G. Goree 'Reliability of the finite element method for calculating free edge stresses in composite laminates', Comput. Struct., 15, 23-27 (1982).
28. S. S. Wang and I. Choi, 'Boundary-layer effects in composite laminates: part 2-free-edge stress solutions and basic characteristics', J. Appl. Mech., 49, 549-560 (1982).
29. D. H. Robbins, Y. S. N. Reddy and J. N. Reddy, 'Analysis of inter-laminar stresses and failures using a layer-wise laminate theory', in J. N. Reddy and K. L. Reifsnider (eds.), Local Mechanics Concepts for Composite Material Systems, 1991, pp. 309-340.
30. I. S. Raju, J. H. Crews Jr. and M. A. Aminpour, 'Convergence of strain energy release rate components for edge-delaminated composite laminates, NASA Technical Memorandum 86135, 1987.
31. 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).
32. Olaf. Storaasli, NASA. LaRC. Hampton VA, 23681.