A GRAPH-THEORETIC MODEL FOR FINITE ELEMENTS WITH SIDE VARIABLES

References

• Babuska I. Reliability of Computational Processes in Structural Mechanics . Published in FEM in the Design Process . Ed. by Robinson J. , Robinson & Associates ( 1990 ).
   Google Scholar
• Zienkiewicz O. C. & Taylor R. L. The Finite Element Method 4th Ed. , Vol. 1 , McGraw-Hill ( 1989 ).
   Google Scholar
• Chandrupatla T. R. & Belegundu A. D. Introduction to Finite Elements in Engineering . Prentice-Hall Int. Ed . ( 1991 ).
   Google Scholar
• Fraeijs de Veubeke B. Displacement and equilibrium models in the finite element method . Chapter 9 in Stress Analysis . Ed. by Zienkiewicz O. C. & Holister G. S. Wiley ( 1965 ).
   Google Scholar
• Sander G. Application of the dual analysis principle . Colloquium on High Speed Computing of Elastic Structures. Liege ( 1970 ).
   Google Scholar
• Robinson J. The mode-amplitude technique and hierarchical stress elements-a simplified and natural approach . Int. J. Num. Meth. in Eng. , Vol. 21 pp. 487 – 507 . ( 1985 ).
   Web of Science ®Google Scholar
• Maunder E. A. W. A direct approach to a flexibility matrix for a triangular equilibrium membrane element . Published in Accuracy, Reliability and Training in FEM Technology . Ed. by Robinson J. , Robinson and Associates ( 1984 ).
   Google Scholar
• Moitinho de Almeida J. P.Teixeira de Freitas J. A. Alternative approach to the formulation of hybrid equilibrium finite elements . Computers & Structures , Vol. 40 No. 4 pp. 1043 – 1047 ( 1991 ).
   Web of Science ®Google Scholar
• Moitinho de Almeida J. P.Teixeira de Freitas J. A. Continuity conditions for finite element analysis of solids . Int. J. Num. Meth. in Eng. , Vol. 33 , pp. 845 – 853 ( 1992 ).
   Web of Science ®Google Scholar
• Fenves S. J. Structural analysis by networks, matrices and computers . Proc. ASCE ST1 pp. 199–221 ( 1966 ).
   Google Scholar
• Roe P. H. O'N Networks and Systems . Addison-Wesley ( 1966 ).
   Google Scholar
• Allman D. J. The constant strain triangle with drilling rotations a simple prospect for shell analysis . Published in The Mathematics of Finite Elements and Applications . VI. Ed. by Whiteman J. R. Academic Press Limited ( 1988 ).
   Google Scholar
• Savage G. J. & Kesavan H. K. The Graph-Theoretic Field Model-II. Application of Multi-Terminal Representations to Field Problems . Journal of the Franklin Institute , Vol. 309 No. 4 pp. 241 – 266 ( 1980 ).
   Web of Science ®Google Scholar
• Bookman M. C. and Savage G. J. Element properties by mathematical network methods . Engineering Analysis , Vol. 4 No. 3 pp. 135 – 141 ( 1987 ).
   Web of Science ®Google Scholar
• Maunder E. A. W. A composite triangular equilibrium element for the flexural analysis of plates . Engineering Structures , Vol. 8 No. 3 ( 1986 ).
   Web of Science ®Google Scholar
• Maunder E. A. W. A reappraisal of compound equilibrium elements . Proc. 12th Canadian Congress of Applied Mechanics , Carleton University , Ottawa ( 1989 ).
   Google Scholar
• Seshu S. & Reed M. B. Linear graphs and electrical networks . Addison-Wesley ( 1961 ).
   Google Scholar