3.-. Bathe K., Finite Element Procedures. Prentice Hall, Englewood Cliffs, N. Y

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1 BIBLIOGRAFÍA. En las últimas décadas han aparecido innumerables y excelentes libros sobre el método de los elementos finitos, e infinidad de artículos sobre una enorme cantidad de aplicaciones del método, en las diversas áreas de la ciencia. A continuación se presenta una lista tanto de libros como de artículos que complementan el material de estudio de este texto. Varios de ellos han sido usados en esta obra sin ser citados explícitamente. 1.- Allan W., Newtonian Die Swell Evaluation for Axisymetric Tube Exits Using a Finite Element Meted, Int. J. for Num. Meth. in Eng. Vol II, (1977). 2.- Baliga, B. R., A Control Volume Finite Element Method for Covective Heat and Mass Transfer, Ph. D., University of Minnesota, Bathe K., Finite Element Procedures. Prentice Hall, Englewood Cliffs, N. Y Barrett, J. W., Morton, K. W., Optimal Finite Element Method Solutions to Diffusion Convection Problems in One Dimension, Int. Num. Meth. in Eng. Vol. 15, 1474 (1980). 5.- Barus, C., Am. J. Sci. 45,87 (1983). 6.- Bird, R. B., Curtis, Ch. F., Armostrong, R. C., Hassger, O., Dynamics of Polymeric Liquids. Vol. 1, Fluid Mechanics, John Wiley & Sons, Bird, R. B., Curtis, Ch. F., Armostrong, R. C., Hassger, O., Dynamics of Polymeric Liquids. Vol. 2, Kinetic Theory, John Wiley & Sons, Boger, D. V., Hur, D, U., Binnington, R, J., Further Observations of Elastic Effects in Tubular Entry Flows, J. of Non Newt. Fluid Mech., 20 (1986) Bravo, V., Rincón, A., Da Fonseca, Z., Programa para graficar con Líneas Ocultas, Reporte Interno, INDESCA, Brooks, A., Hughes, T. J. R., Streamline Upwind / Petrov Galerkin Methods for Advection Dominated Flows, 3 ra Int. Conf. Finite Element. Methods in Flows Problems, Proceedings, Bannf, Alberta, Canada (1980) Brooks, A., Petrov Galerkin Finite Element Formulation for Convection Dominated Flows, Ph. D., Thesis, California Institute for Technology, Burnett, d., Finite Element Analysis from Concepts to Applications, Addison Wesley Publishing Co., Bykat. Automatic Generation of Triangular Grid: I. Subdivision of General Polygon Convex Subregions. II. Triangulation of Convex Polygons. Int. J. Num: Meth. Eng., 10: (1976). 277

2 14.- Carey, S., Kabaila, A., Utku, M., On Penalty Methods for Inter - Element Constraints. Computer Methods in Applied Mech. and Eng. 30 (1982), Carey, G., Oden, J., Finite Elements. Vol VI: Fluid Mechanics. Prentice Hall, Cavendish, J. C., Automatic Triangulation of Arbitrary Planar Domains for the Finite Element Methods, Int. J. Num. Meth. Eng. 8: (1974) Chandrupatla, T., Belegundu, A., Introducción al Estudio del Elemento Finito en Ingeniería. Prentice may, Addison Wesley Longman Christie, I., Griffiths, D, Mitchell, A., Zienkiewics, O., Finite Element Methods for Second Order Differential Equations with Significant First Derivatives, Int. J. Num.. Meth. Eng., 10, (1977) Crochet, M., Davies, A., Walters, K., Numerical Simulation of Non Newtonian Flow, Rheology Series No. 1, Elsevier Publishers, Crochet, M. J., Delvaux, V., Marchal, J. M., On the Convergence of the Streamline Upwind Mixed Finite Element.J. of Non Newt. Fluid Mech., 34 (1990) Da Fonseca, Z., El Método de los Elementos Finitos Aplicado al Flujo de Fluidos Poliméricos. Parte I: Fluidos Viscosos. Escuela de Ingeniería Mecánica de la Universidad del Zulia Da Fonseca, Z., Simulación Numérica del Flujo de Fluidos Poliméricos a través de Boquillas. Reporte Interno, INDESCA, Da Fonseca, Z., Torres, A., ANSIPOL: Un Programa para el Análisis y Simulación del Procesamiento de Polímeros, SLAP 90, págs , Guadalajara, México Da Fonseca, Z., Torres, A., Reyes, M., Fluidos Vicoelásticos. Parte I: Revisión Bibliográfica e Implantación en ANSIPOL. Reporte Interno, INDESCA, Da Fonseca, Z., Torres, A., Aplicación del Método de Elementos Finitos a las Ecuaciones de Stokes Mediante el Modelo Penalty, VI Jornadas Científico Técnicas de la Fac. de Ing. de LUZ Da Fonseca, Z., Análisis Estático de Estructuras: Un Programa Automático V Jornadas Científico Técnicas de la Fac. de Ing. de LUZ, Da Fonseca, Z., Ortega, M., Vargas, L., El Método de Elementos Finitos y su Aplicación a un Campo de Problemas. VI Jornadas Científico Técnicas de la Fac. de Ing. de LUZ, Da Fonseca, Z., Torres, A., Bellini, F., Simulación de Flujo de Fluidos Viscosos a través de una Boquilla Plana. SLAP 88, Vol. II, págs , Porlamar, Venezuela. 278

3 29.- Da Fonseca, Z., Torres, A., Aplicación del Método de Galerkin a las Ecuaciones de Stokes. Parte I: Caso Plano. Reporte Interno, INDESCA, Da Fonseca, Z., Torres, A., Aplicación del Método de Galerkin a las Ecuaciones de Stokes. Parte II: Caso Axisimétrico. Reporte Interno, INDESCA, Da Fonseca, Z., Torres, A., Reyes, M., El Método de Elementos Finitos Aplicado al Flujo Bidimensional de Polímeros Fundidos. VII Jornadas Científico Técnicas, Fac. de Ing. de LUZ Darby, R., Viscoelastic Fluids, An Introduction to their Properties and Behavior, Marcel Dekker, INC., Finite Element Handbook. Hayrettin Kardestuncer. Edit. Mc. Graw-Hill, Fox, R., Mc. Donald, A., Introducción a la Mecánica de los Fluidos Edit. Interamericana, Fung, Y, C., A First Course in Continuum Mechanics, Prentice-Hall, Inc., Gallagher, R, H., Norrie, D. H., Oden, J, T., Zienkiewicz, O. C., Finite Element in Fluid, Vol. 4, John-Wiley & Sons (1982) Gresho, P. M., Lee, R. L., Don t Suppress the Wiggles-they re Telling you Something., Comp. Fluids, Vol. 9, , (1979) Guy Payre, A, Upwind Finite Element Method via Numerical Integration, Int. J. Num. Meth. in Eng. Vol. 18, (1982) Hang, D. Ch., Rheology in Polymer Processing, Academic Express, Heinrich, J. C., Zienkiewcz, O. Quagratic Finite Element Schemes for Two Dimensional Convective Transport Problems, Int. J. for Num. Met. in Eng. Vol. 11, (1977) Huang, D., White, J, L., Extrudate Swell from Slit and Capillary Dies: An Experimental and Theorical Study, Polym. Eng. & Sci. 1979, Vol. 19, No. 9. pp Huebner, K., The Finite Element Method for Engineers, John Wiley & Sons, Hughes, T. J. R., A Simple Scheme for Devoloping Upwind Finite Element, J. Num. Meth. Eng., , (1978) Hughes, T. J. R., Liu, W., Brooks, A., Finite Element Analysis of Incompressible Viscous Flows by the Penalty Formulation, J. Comp. Physics, 30, 1-60 (1979) Hughes, T. J. R., Brooks, A., A Multidimensional Upwind Scheme with no Crosswind Diffusion, AMD Vol. 34. Finite Element Methods for Convection Dominated Flows, T. J. R. Hughes (Ed) ASME, N.Y

4 46.- Huyakorn, P. S., Solution of Steady State Convective Transport Equation Using an Upwind Finite Element Scheme, Appl. Math. Modelling, 1977, Vol. 1, pp Joseph, D. D., Renardy, M., Sant, J. C., Arch. Ration Mech. Anal. 87 (1985). P Mitsoulis, E., Finite Element Analysis of Two Dimensional Melt Flows, Ph. D. Thesis, Mc Master University, Mitsoulis, E., Vlachopoulos, J., Mirza, F., Numerical Simulation of Entry and Exit Flows in Slit Dies, Polym. Eng. Sci. Vol. 24, No. 29, June 1984, pp Mitsoulis, E., Vlachopoulos, J., Mirza, F., Finite Element Analusis of Two Dimensional Melt Flows.Polym. Proc. Eng. Vol. 1, No. 3, 1983, pp Mitsoulis, E., Vlachopoulos, J., Mirza, F., Simulation of Extrudate Swell from Long Slit and Capillary Dies, Polym. Proc. Eng. Vol. 2, No. 2 13, 1984, pp Mitsoulis, E., Vlachopoulos, J., The Finite Element Method for Flow and Heat Transfer Analysis, Advances in Polymer Technology pp Mitsoulis, E., Streamline Upwind / Petrov Galerkin Finte Element Methods in Polymer Proccessing. Chem. Eng. Technol. 12 (1989) Nadai, A., Theory of Flow and Fracture of Solids, Vol. II, Mc Graw-Hill, New York, Nickell, R., Tanner, R., Caswell, B., The Solution of Viscous Incompressible Jet and Free Surface Flows Using Finite Element Methods, J. Fluids Mech. 65, Oden J. T. Finite Elements of Nonlinear Continua. McGraw-Hill Patankar, S. V., Numerical Heat Transfer and Fluid Flow. Hemisphere Publishing Paton, J. B., Squieres, P. H., Darnell, W. H., Cash, F. M., Carley, J. F., Extrusion Processing of Thermoplastic Materials. Pp Editado por Bernhard E. C. Y Robert Krieger. Publishing Co Przemieniecki, J. S., Theory of Matrix Structural Analysis. McGraw-Hill Rao,S., The Finite Element Method in Engineering. Pergamon Press Reddy, J., An Introduction to Finite Element Method, Mc Graw-Hill, Reddy, J., Applied Functional Analysis and Variational Method in Engineering, Mc Graw- Hill,

5 63.- Reyes, M., Da Fonseca, Z., Torres A., REDUC: Un Algoritmo para la Reducción del Semi Ancho de Banda para ANSIPOL. Reporte Interno, INDESCA, Richardson, S, M., Flows of Variable Viscosity Fluids in Ducts with Heated Walls, J. Non-Newt. Fluid Mech, 25 (1987), Roylance, D., Use of Penalty Finite Element in Analysis of Polymer Melt Processing. Polym. Eng. Sci. 1980, Vol. 20, No Runchal, A., Convergence and Accuracy of thee Finite Difference Schemes for a Two- Dimensional Conduction and Convection Problem, Int. J. Num. Meth. Eng. 4, (1972) Schlichting, H., Boundary-Layer Theory, Mc Graw Hill, Schultz, W. W., Gervasio, C., A Study of the Singularity in the Die-Swell Problem. J. Mech. Appl. Math., Vol. 43, (1990) PP Tanguy, P., Fortin, A., Bertrand, F., A Finite Element Simulation of Polymer Melt Flows, Advances in Polymer Tech., Vol. 6, No. 4, (1986) 70.- Tanguy, P., Fortin, A., Bertrand, F., A 3-D Finite Element Model For Polymer Melt Flow, Advances in Polymer Tech, Vol. 8, No. 2, (1988) Tanner, R., Extrudate Swell. Comp. Anal. of Polym. Processing, pp Editado por J. R. Pearson y S. M. Richardson, Applied Science Publishers, Taylor C., Hood, P., A Numerical Solution of the Navier Stokes Equations Using the Finite Element Technique. Com. Flids, Vol. 1, pp Pergamon Press, Taylor C., Hood, P., A Numerical Solution of the Navier Stokes Equations Using the Finite Element Technique. Com. & Flids, Vol. 1, pp Pergamon Press, (1973) Timoshenko, S., Goodier, J.N., Theory of Elasticity, 3ed. McGraw-Hill, New York, Torres, A., Aplicación del Método de Elementos Finitos a las Ecuaciones de Stokes mediante el modelo Penalti. Trabajo Especial de Grado, Fac. de Ing. De LUZ, Torres, A., Reyes, M., Da Fonseca, Z., MESH: Un Programa Interactivo para la Generación de Mallas Bi-Dimensionales de Elementos Finitos. Vii Jornadas Científico-Técnicas de la Fac. de Ing. de LUZ, Turner, M. J., Clough, R. W., Martin, H. C., Topp, L. J., Stiffness and Deflection Analysis of Complex Structures. Journal of the Aeronautical Sciences, Vol. 23, pp Richards T. H., Energy Methods in Stress Analysis. John Wiley & Sons

6 79.-. Rivlin, R. S., Large Elastic Deformations of Isotropic Materials IV. Futher Developments of the General Theory. Philosophical Transactions of the Royal Society of London. Vol. 4, pp Robison, J., Integrated Theory of Finite Element Meted.John Wiley & Sons Tzoganakis, C., Vlachopoulos, J., Hamilelec, E., Non-Isothermal Polymer Flow fron Viscometer Reservior to Capillary Die, Plastic and Rubber Proceeding and Applications, (1987), Ugural, A., Fenster, S., Advanced Strength and Applied Elasticity.Elsevier Vlachopoulos, J., Extrudate Swell in Polymer Rheology A Review, Proceed. 2nd World Congr. Chem. Eng., Vol. VI, 269 (1981) Montreal Washizu, K, Variational Methods in Elasticity and Plasticity. 2ed. Pergamon Press Wilson, E. L., Structural Analysis of Axisymetric Solids. AIAA Journal, Vol. 3, pp White, F. M, Viscous Fluid Flow, Mc Graw-Hill,