Relaxed notions of curvature and a lumped strain method for elastic plates

SIAM Journal on Numerical Analysis

Volumn 35, Issue 2, 1998, Pages 677-691

  Davini, Cesare ^a   Pitacco, Igino ^a  

^a UNIVERSITY OF UDINE   (Italy)

Author keywords

Energy relaxation; Generalized curvature; Numerical method

Indexed keywords

EID: 0000572891     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142995296102     Document Type: Article

References (9)

1. I. BABUSKA AND T. SCAPOLLA (1989), Benchmark computation and performance evaluation for a rhombic plate bending problem, Internat. J. Numer. Methods Engrg., 28, pp. 155-179.
2. C. DAVINI (1996), Note on a Parameter Lumping in the Vibration of Elastic Beams, Rendiconti Ist. Matematica Universitá di Trieste, 28, pp. 83-99.
3. R.V. KOHN AND M. VOGELIUS (1987), Relaxation of a variational method for impedance computed tomography, Commun. Pure Appl. Math., Vol. XL, pp. 745-777.
4. J.L. LIONS AND E. MAGENES (1972), Non homogeneous boundary value problems and applications, I, Springer-Verlag, New York.
5. V.G. MAZ'YA AND S.A. NAZAROV (1986), Paradoxes of limit passage in solutions of boundary value problems involving the approximation of smooth domains by polygonal domains, Izv. Akad. Nauk CCCP, Ser. Mat., 50 (in Russian); Math. USSR.-Izv., 29 (1987) (in English).
6. L.S.D. MORLEY (1962), Bending of a simply supported rhombic plate under uniform normal loading, Quart. J. Mech. Appl. Math., XV, Part 4, pp. 913-926.
7. A.V. POGORELOV (1978), The Minkowski Multidimensional Problem, Winston and Sons, Washington, D.C.
8. J. ROBINSON (1985), An evaluation of skew sensitivity of thirty three plate bendings elements in nineteen FEM systems, Nuclear Engineering and Design 90, pp. 67-85.
9. G. STRANG AND G.J. Fix (1973), An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, NJ.