Green's function applied to solution of Mindlin plates

Computers and Structures

Volumn 60, Issue 1, 1996, Pages 41-48

  Diaz Contreras, R E ^a   Nomura, S ^a  

^a University of Texas at Arlington   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CALCULATIONS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; GREEN'S FUNCTION; INTEGRATION; MATHEMATICAL OPERATORS; NUMERICAL METHODS; POLYNOMIALS;

COMPUTER ALGEBRA SYSTEM; EIGENFUNCTION EXPANSION METHOD; GALERKIN METHOD; MINDLIN PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 0030567728     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00376-2     Document Type: Article

References (17)

1. R. D. Mindlin, Influence of rotary interia and shear of flexural motions of isotropic, elastic plates. J. appl. Mech. 18, 31-38 (1951).
2. O. C. Zienkiewicz, Z. Xu, L. F. Zeng, Samuelson and N.E. Wilbert, Linked interpolation for Reissner-Mindlin plate elements: Part I - A simple quadrilateral. Int. J. numer. Meth. Engng 36, 3043-3056 (1993).
3. M. Lily, R. Stenbert and T. Vihinen, A stable bilinear element for the Reissner-Mindlin plate model. Comput. Meth. appl. Mech Engng 110, 343-357 (1993).
4. R. L. Taylor and F. Anricchio, Linked interpolation for Reissner-Mindlin plate elements: Part II - a simple triangle. Int. J. numer. Meth. Engng 36, 3057-3066 (1993).
5. J. L. Batoz and I. Katili, On a simple triangular Reissner-Mindlin plate elements. Int. J. numer. Meth. Engng 35, 1603-1632 (1992).
6. I. Katili, A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner throry and assumed shear strain fields. Part I: an extended DKT element for thick-plate banding analysis analysis. Int. J. numer. Meth. Engng 36, 1859-1883 (1993).
7. I. Katili, A new discrete Kirchhoff-Mindlin element based on Mindlin-Reissner theory and assumed shear strain fields. Part II: an extended DKQ element for thick-plate bending analysis. Int. J. numer. Meth. Engng 36, 1885-1908 (1993).
8. E, Onate, R. L. Taylor, O. C. Zienkiewicz and O. C. Suarez, A general methodology for deriving shear constrained Reissner-Mindlin plate elements. Int. J numer. Meth. Engng 33, 345-367 (1992).
9. P. Papadopoulos and R. Taylor, A triangular element based on Reissner-Mindlin plate theory. Int. J. numer. Meth. Engng 30, 1029-1049 (1990).
10. G. J. Turvey and M. Y. Osman, Elastic large deflection analysis of isotropic rectangular Mindlin plates. Int. J. Mech. Sci. 32, 315-328 (1990).
11. H. Kabir, Boundary-continuous Fourier solution for clamped Mindlin plates. J. Engng Mech. 118, 1457-1468 (1992).
12. O. Vilmann and G. Dasgupta, Fundamental solutions of Mindlin plate with variable thickness for stochastic boundary element. Engng Anal. Boundary Elem. 9, 47-59 (1992).
13. S. Qin, H. Fan and T. Mura, The eigenstrain formulation for classical plates Int. J. Solids Struct. 28, 363-368 (1991).
14. S. Wolfram, Mathematica, 2nd edn. Addison-Wesley, Redwood City, CA (1991).
15. R. Diaz-Contreras, Green's function applied to classical and non-classical plates, Ph.D. Dissertation, Department of Mechanical and Aerospace Engineering, University of Texas at Arlington, Arlington, TX (1994).
16. J. N. Reddy, A simple higher order theory for laminated composition plates. J. appl. Mech. 52, 213-221 (1985).
17. S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Sheets, 2nd edn. McGraw-Hill New York (1959).