“Computational Civil Engineering - "Intersections" International Journal

32 H. L. Cucu, A. G. PopaRelative error (FEM/Timoshenko) [%]02 4 6 8 10y12 1416-10-20zq=1KN/m 2x-30Transversal displacement (w)-40Bending moment about Ox axis (Mx)-50Bending moment about Oy axis (My)Number of elements on side-60Figure 5 – Relative error (FEM/Timoshenko’s solution) for a plane test-problem.3. CONCLUSIONSThe two new finite elements proposed in this paper, based on the hybrid-strainfinite element approach, represent a useful and powerful tool for the analysis of theplates and shells in the thick plate theory, offering spectacular results, with greataccuracy.References1. Washizu, K. Variational Methods in Elasticity and Plasticity; 2 nd Edn., Pergamon Press, NewYork, 1975.2. Pian, T. H. H., Tong, P. Basis of Finite Element Methods for Solid Continua, InternationalJournal for Numerical Methods in Engineering, vol. 1, no. 1, 1969.3. Tong, P., Pian, T. H. H. A Variational Principle and the Convergence of a Finite Element ModelBased on Assumed Stress Distributions, International Journal of Solids and Structures, vol. 5,no. 5, 1969.4. Bathe, K. J. Finite Element Procedures, Prentice-Hall, New Jersey, 1996.5. Cook, R. D. Concepts and Applications of Finite Element Analysis, John Wiley, New York,1974.6. Zienkiewicz, O. C. The Finite Element Method; Fourth Edn., McGraw-Hill, London, 1989.7. Chieslar, J. D., Ghali, A. A Hybrid Strain Technique for Finite Element Analysis of Plates andShells, Computers and Structures, vol. 24, no.5, 1986.8. Cucu, H. L. Analiza prin elemente finite hibride a plăcilor plane şi curbe anizotrope., PhDThesis, UTC-N, Cluj-Napoca, 2003.9. Cucu, H. L., Gobesz, F. Z., Turda, D. V., Popa, A. G., Marţian, I. Two new hybrid finiteelements for thick plates and shells. Proceedings of the International Conference « Construction2003 », Cluj-Napoca, 16-17 mai 2003.10. Turda, D. V., Cucu, H. L., Popa, A. G., Gobesz, F. Z. A New Finite Element Analysis System.Acta Technica Napocensis, 45/2002.