Hierarchic models for laminated plates and shells

Computer Methods in Applied Mechanics and Engineering

Volumn 172, Issue 1-4, 1999, Pages 79-107

  Actis, Ricardo L ^a   Szabo, Barna A ^b   Schwab, Christoph ^c  

^a Engineering Software Research and Development Inc   (United States)

^b WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; ERRORS; FINITE ELEMENT METHOD; LAMINATED COMPOSITES; MATHEMATICAL MODELS; OPTIMIZATION; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES);

HIERARCHICAL MODEL; LAMINATED PLATE; LAMINATED SHELL;

COMPUTER SIMULATION;

EID: 0032625029     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00226-6     Document Type: Article

References (19)

1. [1] B.A. Szabó and I. Babuska, Finite Element Analysis (John Wiley and Sons, Inc., New York, 1991).
2. [2] J.W. Dally and W.F. Riley, Experimental Stress Analysis (McGraw-Hill, Inc., 1978).
3. [3] Q. Chen and I. Babuska, Approximate optimal points for polynomial interpolation of real fuctions in an interval and in a triangle, Comput. Methods Appl. Mech. Engrg. 128 (1995) 405-417.
4. [4] G. Kiralyfalvi and B.A. Szabo, Quasi-regional mapping for the p-version of the finite element method, Finite Elem. Anal. Des. 27 (1997) 85-97.
5. [5] B.A. Szabo and G.J. Sahrmann, Hierarchic plate and shell models based on p-extension, Int. J. Numer. Methods Engrg. 26 (1988) 1855-1881.
6. [6] C. Schwab, Boundary layer resolution in hierarchic models of laminated composites, R.A.I.R.O. Analyse Numérique, Sér. rouge 28 (1994) 517-537.
7. [7] I. Babuska, B.A. Szabo and R.L. Actis, Hierarchic models for laminated composites, Int. J. Numer. Methods Engrg. 33 (1992) 503-535.
8. [8] R.L. Actis and B.A. Szabo, Hierarchic models for bidirectional composites, Finite Elem. Anal. Des. 13 (1993) 149-168.
9. [9] R.L. Actis, Hierarchic models for laminated plates, Ph.D. Thesis, Sever Institute of Technology, Washington University, St. Louis, 1991.
10. [10] R.L. Actis, Design and analysis of laminated plates and shells, National Science Foundation, Phase II Final Report, Award No. DMI-9321005, October 1997.
11. [11] R.L. Actis, Design and analysis of laminated plates and shells, National Science Foundation, Phase I Final Report, Grant No. III-9261593, September 1993.
12. [12] B.A. Szabo and R.L. Actis, Hierarchic models for laminated plates, Adaptive, Multilevel, and Hierarchical Computational Strategies, AMD-Vol. 157 (ASME 1992) 69-94.
13. [13] C. Schwab, Dimensional reduction for elliptic boundary value problems, Ph.D. Thesis, University of Maryland, Department of Mathematics, College Park, MD, 1989.
14. [14] B.A. Noor, W.S. Burton and J.M. Peters, Hierarchic adaptive modeling of structural sandwiches and multilayered composite panels, Adaptive, Multilevel, and Hierarchical Computational Strategies AMD - Vol. 157 (ASME 1992) 47-67.
15. [15] C. Schwab and S. Wright, Boundary layer approximation in hierarchical beam and plate models, J. Elasticity 38 (1995) 1-40.
16. [16] M. Bernadou, P.G. Ciarlet and J.M. Viano, Shells - mathematical modelling and scientific computing, Proc. Int. Conf. on Shells, Santiago de Compostela, 14-18 July 1997, Univ. de Santiago de Compostela, Spain, 1997.
17. [17] D.N. Arnold and R.S. Falk, The boundary layer of the Reissner-Mindlin plate model: soft simply supported, soft clamped and free plates, SIAM J. Math. Anal. 21 (1990) 281-312.
18. [18] K. Gerdes, A.M. Matache and C. Schwab, Analysis of membrane locking in hp-FEM for a cylindrical shell, Seminar of Applied Mathematics, Swiss Federal Institute of Technology, Zurich, Switzerland. Research Report No. 97-09, May 1997 (in press in ZAMM).
19. [19] H. Hakula, High order finite element tools for shell problems, Helsinki University of Technology, Institute of Mathematics, Research Report A376, Espoo, Finland, January 1997.