Topic outline
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ASSAN, A. E., Método dos Elementos Finitos, Editora Unicamp, 2ª Ed. 2003.
BECKER, E. B. CAREY, G. F. AND ODEN, J. T. Finite Elements: An Introduction. Volume I in Texas Finite Element Series. Prentice-Hall, Englewood Cliffs, New Jersey, 1981.
BELYTSCHKO, T., LIU, W.K., MORAN, B. Nonlinear finite elements for continua and structures. John Wiley & Sons, Ltd., 2000.
DUARTE, C. A. The hp-cloud method. PhD thesis, The University of Texas at Austin, December 1996.
DUARTE, C.A., BABUSKA, I. AND ODEN,. J.T. Generalized finite element methods for three-dimensional structural mechanics problems. Computer & Structure, 77(2):215-232, 2000.
DYM, C.; SHAMES, I.H. Solid mechanics a variational approach. New York, McGraw-Hill, 1973.
ELSGOLTZ, L. Equaciones diferenciales y calculo variacional. Moscou, MIR, 1969.
FEIJÓO, R.A. et alli. Curso de mecânica teórica e aplicada – Módulos I e II, Rio de Janeiro, LNCC/CNPq, 1982.
FUNG, Y.C. Foundations of solid mechanics. Englewood Cliffs, Prentice-Hall, 1965.
HARTMANN, F. The mathematical foundation of structural mechanics. Berlin, Springer – Verlag, 1985.
HUGHES, T.J.R. The finite element method: linear static and dynamic finite element analysis. Prentice-Hall, 1987.
LANCZOS, C. The variational principles of mechanics. 4.ed. Toronto, University of Toronto Press, 1970.
LIU, G.R. Mesh-free Methods: moving beyond the Finite Element Method. CRC Press, 2002.
MIKHLIN, S.C. Variational methods in mathematical physics. Oxford, Pergamon Press, 1964.
ODEN, J. T. AND DUARTE, C. A. Clouds, cracks and FEM's. Recent Developments in Computational and Applied Mechanics, pages 302-321, 1997.
PROENÇA, S.P.B. Introdução aos métodos numéricos. São Carlos, SP – EESC-USP, 2007. (Notas de aula).
REDDY, J.N. Applied Functional Analysis and Variational Methods in Engineering. Krieger Publishing Company, Malabar, Florida, 1991.
REDDY, J. N. An Introduction to the Finite Element Method, Second Edition. McGraw-Hill, New York, 1993.
REKTORYS, K. Variational methods in mathematical sciences an engineering. Boston, D. Reidel Publ. Co, 1975.
SAGAN, H. Introduction to the calculus of variations. New York, McGraw-Hill, 1969.
SORIANO, H. L., Método de Elementos Finitos em Análise de Estruturas, Edusp, 2003.
SZABO, B., BABUSKA, I. Finite Element Analysis. John Wiley & Sons, INC, 1991.
TAUCHERT, T. R. Energy principles in structural mechanics. New York, McGraw-Hill, 1974.
WASHIZU, K. Variational methods in elasticity and plasticity. Oxford, Pergamon Press, 1968.
ZIENKIEWICZ, O.C., MORGAN, K. Finite elements and approximation. John Wiley & Sons, INC, 1983.