Fundamental solutions and boundary integral equations of moderately thick symmetrically laminated anisotropic plates

Communications in Numerical Methods in Engineering

Volumn 12, Issue 7, 1996, Pages 383-394

  Wang, Jianguo ^a   Schweizerhof, Karl ^b  

^a HEFEI UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Anisotropy; Boundary integral equations; Fundamental solutions; Symmetrically laminated plates

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FIBER REINFORCED MATERIALS; INTEGRAL EQUATIONS; LAMINATED COMPOSITES; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION;

BOUNDARY INTEGRAL EQUATIONS; FIRST ORDER TRANSVERSE SHEAR DEFORMATION PLATE THEORY; FUNDAMENTAL SOLUTIONS; HORMANDER'S OPERATOR METHOD; PLANE WAVE DECOMPOSITION; SYMMETRICALLY LAMINATED ANISOTROPIC PLATES; WEIGHTED FUNCTION; WEIGHTED RESIDUALS;

COMPOSITE STRUCTURES;

EID: 0030194902     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199607)12:7<383::AID-CNM986>3.0.CO;2-4     Document Type: Article

References (18)

1. J. G. Wang and M. K. Huang, 'Boundary element method for orthotropic thick plates', Acta Mech. Sin., 7(3), 258-266 (1991).
2. J. G. Wang and K. Schweizerhof, 'A boundary integral equation formulation for moderately thick laminated orthotropic shallow shells', Comput. Struct., 58(2), 277-287 (1996).
3. J. G. Wang and K. Schweizerhof, 'Boundary-domain element method for free vibration of laminated orthotropic shallow shells', Int. J. Solids Struct, 33(1), 11-18 (1996).
4. J. G. Wang and K. Schweizerhof, 'Fundamental solutions of moderately thick laminated anisotropic shallow shells', Int. Eng. Sci., 33(7), 995-1004 (1995).
5. N. A. Schelar, 'Anisotropic analysis using boundary elements', Top. Eng. Ser. 20, Comput. Mech., Billerica, MA, 1994.
6. I. M. Gel'fand and G. E. Shilov, Generalized Functions, Vol. 1, Academic Press, Inc. New York, 1967.
7. L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, Berlin, 1976.
8. C. A. Brebbia, J. C. F. Tells and L. C. Wrobel, Boundary Element Techniques, Springer-Verlag, Berlin, 1984.
9. Z. M. Wang, Mechanics of Composite Materials and Structural Mechanics of Composite Materials, Mechanical Industrial Press, Beijing 1991 (in Chinese).
10. J. R. Vinson and T. W. Chou, Composite Materials and Their Use in Structures, Applied Science Publishers, London, 1975;
11. J. M. Whitney, 'Shear correction factors for orthotropic laminates under static load', J. Appl. Mech., 40, 302-304 (1973).
12. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formula, Graphics, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series-55, New York, 1965.
13. i', Math. Comput., 23, 289-303 (1969).
14. F. V. Weeën, 'Application of the direct boundary integral equation method to Reissner's plate model', Int. j. numer. methods eng., 18, 1-10 (1982).
15. C. Patterson and M. A. Sheikh, 'Interelement continuity in boundary element methods', in C. A. Brebbin (Ed.), Top. Bound. Elem. Res., 1, (1984).
16. J. M. Whitney and N. J. Pagano, 'Shear deformation in heterogeneous anisotropic plates', J. Appl. Mech., 37, 1031-1036 (1970).
17. H.V. Lakshminarayana and S. S. Murthy, 'A shear-flexible triangular finite element model for laminated composite plates', Int. j. numer. methods eng., 20, 591-623 (1984).
18. A. K. Noor and M. D. Mathers, 'Shear-flexible finite element models of laminated plates and shells', NASA TND-8044, 1975.