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Bibliography
Aleel, S., and Nguyen, Q. S. (1989), "Determination of the limit response incyclic plasticity," 2nd International Conference on Computational Plasticity, Barcelona, pp. 639-650.
Allix, O. (1992), "Damage analysis of delamination around a hole," NewAdvances in Computational Structural Mechanics, (P. Ladeveze & O. C.Zienkiewicz eds), Elsevier, pp. 411-421.
Allix, 0., and Ladeveze, P. (1992) "Interlaminar interface modelling for theprediction of laminates delamination," Composite Struct. 22,235-242.
Argyris, J. (1982), "An excursion into large rotations," Compo Meth. Appl.Mech. Engr. 32,85-155.
Arzt, M. (1994), "Analyse sous chargement cyclique de structures viscoplastique," thesis, E. N. S. Cachan.
Azrar, L., Cochelin, B., Damil, N., and Potier-Ferry, M. (1993), "Anasymptotic-numerical method to compute the post-buckling behaviour ofelastic plates and shells," Int. J. Num. Meth. Engr. 36,1251-1277.
Babuska, I. (1994), "Reliability of computational mechanics," The MathematicsofFinite Elements and Applications (J. R. Whiteman ed), Wiley, pp. 25-44.
Babuska, I., Strouboulis, T., Updahyay, C. S., Gaqngaraj, S. K., and Copps, K.(1994), "Validation of a posteriori error estimators by numerical approach,"Int. J. Num. Meth. Engr. 37,1073-1123.
Bathe, K. J. (1982), Finite Element Procedure in Engineering Analysis,Prentice-Hall.
Batoz, J.-L., and Dhatt, G. (1990), Mode1isation des Structures par ElementsFinis, 3 volumes, Hermes.
Bazant, Z. P., and Pijaudier-Cabot, G. (1988), "Non-local damage: continuummodel and localization instability," Rept. 87-2, Northwestern University.
Bazant, Z. P., and Cedolin, L. (1991), Stability of Structures, Oxford UniversityPress.
Becker, R., Needleman, A., Richmond, 0., and Tvergaard, V. (1988), "Voidgrowth and failure in notched bars," J. Mech. Phys. Solids 36,317-351.
206 Nonlinear Mechanics ofStructures
Belytshko, T., and Lasry, D. (1989), "Localization limiters and numerical strategies for strain softening materials," Cracking and Damage (J. Mazars &Z. P. Bazant eds), Elsevier, pp. 349-362.
Belytshko, T., Plaskacz, E. J., Kennedy, J. M., and Greenwell, D. M. (1990),"Finite element analysis on the Connection Machine," Compo Meth. Appl.Mech. Engr. 81, 229-254.
Benallal, A, Billardon, R., and Doghri, I. (1988), "An integration algorithm andthe corresponding consistent operator for fully coupled elastoplastic anddamage equations," Comm. Appl. Num. Meth. 4,731-740.
Benallal, A, Billardon, R., and Geymonat, G. (1989a), "Conditions de bifurcation a l'interieur et aux frontieres pour une classe de materiaux non standards," Comptes Rendus Acad. Sci. Paris 308 II, 893-898.
Benallal, A, Cailletaud, G., Chaboche, J.-L., Marquis, D., Nouailhas, D., andRousset, M. (1989b), "Description and modelling of non-proportionaleffects," Cyclic Plasticity, Biaxial and multiaxial fracture, EFG 3 (W.Brown & K. J. Miler eds), Mech. Engr. Publications, London, pp. 107-129.
Berga, A, and De Saxce, G. (1994), "Elastoplastic finite element analysis of soilproblems with implicit standard material constitutive laws," Revue Eur.Elements Finis 3, 411-456.
Blanze, c., Danwe, R., Ladeveze, P., and Moreau, J.-P. (1993), "Vne methodepout I'ctude d'assemblage de structures massives," Colloque National enCalcul des Structures, Hermes, pp. 913-919.
Boehler, J.-P. (1978), "Lois de comportement anisotrope des milieux continus,"J. Mecan. 17,153-190.
Boisse, P. (1987), "Nouvel algorithme agrand increment de temps pour Ie caIculdes structures elastoplastiques," thesis, Paris 6.
Boisse, P., Bussy, P., and Ladeveze, P. (1990), "A new approach in non-linearmechanics: the large time increment method," Int. J. Num. Meth. Engr. 29,647-663.
Boisse, P., Ladeveze, P., and Rougee, P. (1989), "A large time incrementmethod for elastoplastic problems," Eur. J. Mech. A/Solids 8, 257-275.
Boisse, P., Ladeveze, P., Poss, M., and Rougee, P. (1991), "A new large timeincrement algorithm for anisotropic plasticity," Int. J. Plasticity 7, 65-77.
Boucard, P.-A (1995), "Vne approache agrand increment de temps en grandestransformations," thesis, ENS Cachan.
Bibliography 207
Boucher, M., and Cordebois, J.-P. (1994), "Incremental evolution of inducedanisotropy," Int. J. Plasticity 10, 909-933.
Bramble, J. H., Pasciak, J. E., and Schatz, A. H. (1986), "The construction ofpreconditioners for elliptic problems by substructuring," Math. Comput. 47,103-134.
Brezis, H. (1973), Operateurs Maximaux Monotones et Semi-Groupes de Contraction, Mathematical Studies, North Holland.
Brezis, H. (1983), Analyse Functionnelle. Theorie etApplications, Masson.
Bui, H. D. (1978), Mecanique de la Rupture Fragile, Masson.
Bui, H. D. (1992), Introduction aux Problemes Inverses en Mecanique desMateriaux, Eyrolles.
Burlet, H., and Cailletaud, G. (1986), "Numerical techniques for cyclic plasticityat variable temperature," Engr. Comput. 3,143-153.
Bussy, P., Rougee, P., and Vauchez, P. (1990), "The large time incrementmethod for numerical simulation of metal forming processes," Proc.NUMETA, Elsevier, pp. 102-109.
Caddemi, S., and Martin, J.-B. (1991), "Convergence of the Newton-Raphsonalgorithm in elastic-plastic incremental analysis," Int. J. Num. Meth. Engr.31,177-191.
Cailletaud, G., and Pilvin, Ph. (1994), "Identification and inverse problemsrelated to material behaviours," Inverse Problems in Engineering Mechanics (H. D. Bui et al. eds), Balkema, pp. 79-86.
Chaboche, J.-L., and Cailletaud, G. (1985), "Sur Ie calcul de structures en viscoplasticite cyclique," La Recherche Aerospatiale (French and English editions), pp. 41-54.
Chenot, J.-L. (1989), Three dimensional finite element modelling of the forgingprocess," Computational Plasticity Models, Software and Applications (D.R. Owen et al. eds), Pineridge Press, pp. 793-815.
Ciarlet, P. G. (1978), The Finite Element Method for Elliptic Problems, NorthHolland.
Clough, R. W. and Penzien, J. (1975), Dynamics of Structures, McGraw-Hill,New York.
208 Nonlinear Mechanics of Structures
Cognard, J.-Y. (1989), "Une nouvelle approche des problemes de plasticite et deviscoplasticite: la methode agrand increment de temps," thesis, Paris 6.
Cognard, J.-Y. (1990), Le traitment des problemes nonlineaires agrand nombrede degres de liberte par la methode agrand increment de temps," Calcul desStructures et Intelligence Artificielle (J. M. Fouet et al. eds), Pluralis, pp.211-222.
Cognard, J.-Y., and Ladeveze, P. (1993), "A large time increment approach forcyclic plasticity," Int. J. Plasticity. 9,114-157.
Combescure, A (1986), "Static and dynamic buckling of large thin shells,"Nucl. Engr. Design 92, 339-354.
Comi, C, and Maier, G. (1990), "Extremum theorem and convergence criterionfor an iterative solution to the finite-step problem in elastoplasticity withmixed nonlinear hardening," Eur. J. Mech. NSolids 9, 563-585.
Coorevits, P., Ladeveze, P., Pelle, J.-P., and Rougeot, Ph. (1992), "Some newapplications of a method for the control and optimization of finite elementcomputations," New Advances in Computational Structural Mechanics (0.C. Zienkiewicz and P. Ladeveze eds), Elsevier, pp. 205-217.
Corigliano, A, and Perego, U. (1990), "Unconditionally stable mid-point timeintegration in elastic-plastic dynamics," Rend. Acc. Lincei 9, 367-376.
Crisfield, M. (1991), Non Linear Finite Element Analysis of Solids and Structures, Wiley.
Dacorogna, B. (1989), Direct Methods in the Calculus of Variations, SpringerVerlag.
Dafalias, Y. F. (1983), "Corotational rates for kinematic hardening at large plastic deformations," J. Appl. Mech. 50,561-565.
Dautray, R., and Lions, J.-L. (1984), Analyse Mathematique et CalculNumerique pour les Sciences et les Techniques, (9 volumes), Masson.
De Borst, R. (1988), "Bifurcation in finite element models with non-associatedflow laws," Int. J. Num. Anal. Meth. Geomech. 12,99-116.
Debordes, 0., and Nayrolles, B. (1976), "Sur la theorie et Ie calcul al'adaptation des structures eastoplastiques," J. Mecan. 15,1-53.
Dennis, J. E., and More, J. (1977), "Quasi-Newton methods: motivation andtheory", SIAM Rev. 19,46-84.
Bibliography 209
Destuynder, Ph. (1991), Mode1isation Mecanique des Milieux Continus, Ellipse.
Dhatt, G., and Touzot, G. (1981), Une Presentation de la Methode des ElementsFinis, Maloine.
Dienes, J. K. (1979), "On the analysis of rotation and stress rate in deformingbodies", Acta Mech. 32,217-232.
Dogui, A, and Sidoroff, F. (1987), "Large strain formulation of anisotropic elastoplasticity for metal forming", Computational Methods for PredictingMaterials Processing Defects (M. Predeleanu ed), Elsevier, pp. 81-92.
Doltsinis, I. St., and Noltings, S. (1991), "Studies on parallel processing for coupled field problems", Compo Meth. Appl. Mech. Engr. 89,497-521.
Drucker, D. C. (1964), "On the postulate of stability of material in the mechanics of continua," J. Mecan. 3,235-249.
Duvaut, G., and Lions, l-L. (1972), Les Inequations en Mecanique et en Physique, Dunod.
Ekeland, I., and Ternan, R. (1974), Analyse Convexe et Problemes Variationnels, Dunod.
Farhat, c., and Roux, F.-X. (1991), "A method of finite element tearing andinterconnecting and its parallel solution algorithm," Int. J. Num. Meth.Engr. 32,125-127.
Farhat, c., and Roux, F.-X. (1994), "Implicit parallel processing in structuralmechanics," Compo Mech. Adv. (J. T. Oden ed), North-Holland, pp. 1-14
Fortin, M., and Glowinski, R. (1982), Methodes de Lagrangien Augmenti,Dunod.
Francois, D., Oineau, A, and Zaoui, A (1991), Comportement Mecanique desMateriaux, Hermes.
Gallimard, L., Ladeveze, P., and Pelle, J.-P. (1995), "Error estimation and adaptivity in elastoplasticity," Int. J. Num. Meth. Engr. 39,189-217.
Gear, C. W. (1971), Numerical Initial Value problems in Ordinary DifferentialEquations, Prentice-Hall.
Geradin, M., Idelsohn, S., and Hogge, M. (1981), "Computational strategies forthe solution of large non linear problems via quasi Newton Methods," Comput. Struct. 13, 73-81.
210 Nonlinear Mechanics ofStructures
Germain, P. (1973), Mecanique des Milieux Continus, Masson.
Germain, P. (1986), Mecanique (2 volumes), Ellipse.
Gilbert, R. J. (1988), Vibrations des Structures, CENEDF/INRIA, Eyrolles.
Gilormini, P., Roudier, Ph., and Rougee, P. (1993) "Les deformations cumuIeestensorielles," Comptes Rend. Acad. Sci. Paris 316 II, 1499-1504.
Glowinski, R. (1984), Numerical methods for Nonlinear Variational Problems,Springer-Verlag.
Glowinski, R., and Le Tallec, P. (1989), "Augmented Lagrangian interpretationof the nonoverlapping Schwarz alternating method," Proc. 3rd Int. Symp.Domain Decomposition methods for P.D.E, SIAM, pp. 224-231.
Glowinski, R., Periaux, J., and Dihn, Q. V. (1982), "Domain decompositionmethods for nonlinear problems in fluid dynamics," INRIA Rept. No. 147.
Guennouni, T. (1988), "Sur une methode de calcul de structures soumises adeschargements cycliques: l'homogeneisation en temps," Math. Model. Num.Anal. 22,417-455.
Halphen, B., and Nguyen, Q. S. (1975), "Sur les materiaux standardsgeneralises," J. Mecan. 14,39-62.
Herakovich, C. (1998), Mechanics ofFibrous Composites, Wiley.
Hornberger, K., and STAMM, H. (1989), "An implicit integration algorithmwith a projection method for viscoplastic constitutive equations," Int. J.Num. Meth. Engr. 28,2397-2421.
Hughes, T. J. R. (1987), The Finite Element Method: Linear Static and DynamicFinite Element Analysis, Prentice-Hall.
Hulbert, G. M., and Hughes, T. J. R. (1990), "Space-time finite element methodsfor second-order hyperbolic equations," Compo Meth. Appl. mech. Engr.84,327-348.
Hutchinson, 1. W. (1974), "Plastic buckling," Adv. Appl. Mech. 14,67-144.
Imbert, J.-F. (1984), Analyse des Structures par Elements Finis, editions Cepadues.
JeUeur, Ph., and CescoUo, S. (1991), "A mixed finite element for the analysis oflarge inelastic strains," Int. J. Num. Meth. Engr. 31,229-239.
Bibliography 211
Johnson, C. (1976), "Existency theorems for plasticity problems," J. Math. PureAppl. 55, 431-444.
Johnson, K.-L. (1985), Contact Mechanics, Cambridge University Press.
Keyes, D. E., Chan, T. F., Meurant, G., Scroggs, J. S., and Voight, R. G. (eds)(1992), Domain Decomposition Methods for Partial Differential Equations,SlAM.
Kikuchi, N. (1986), Finite Element Methods in Mechanics, Cambridge University Press, 1986.
Koiter, W. T. (1967), "On the stability of elastic equilibrium," Thesis, DelftUniversity. Translated as NASA TTF 10.
Laborde, P., and Nguyen, Q. S. (1990), "Etude de I'equation d'evolution dessystemes dissipatifs standards," M2AN 24,67-84.
Ladeveze, 1. (1981), "Methode du taux de deformation isochorique artificielpour la resolution du probleme de Stokes stationaire pour certains flu idessimples proprement dits incompressibles," Comptes Rendus Acad. Sci.Paris 292 II, 991-994.
Ladeveze, J. (1985a), "Algorithmes adaptes aux calculs vectoriels et paral1elespour des methodes de decomposition de domaines," Actes du TroisiemeColloque Tendances Actuelles en Calcul de Structures, Bastia, Pluralis, pp.893-907.
Ladeveze, J. (1985b), "Methodes constructives pour la simulation numeriqued'tkou)ement de flu ides non newtoniens," Thesis, University Paris 6.
Ladeveze, P. (1977), "Nouvelle procedure d'erreur relative a la methode deselements finis et applications," Actes des Journf!es Elements Finis, Rennes;Report LMT Cachan 95-163.
Ladeveze, P. (1980), "Sur la theorie de la plasticite en grandes deformations,"Report No.9, LMT Cachan.
Ladeveze, P. (1985a), "Nouveaux algorithmes: cadre mecanique etdeveloppements," Report No. 57, LMT Cachan.
Ladeveze, P. (1985b), "Sur une famille d'algorithmes en Mecanique des Structures," Comptes Rend. Acad. Sci. Paris, 300 II, 41-44.
Ladeveze, P. (1987), "Sur une mecanique paral1ele: concepts et outils de calculs," Seminaire du Laboratoire de Mecanique et Technologie de Cachan.
212 Nonlinear Mechanics of Structures
Ladeveze, P. (1989a), "La methode 11 grand increment de temp (M.A.G.I.T.).Dne nouvelle classe d'algorithmes pour les modeles de comportement 11variables internes," Report No. 95, LMT Cachan.
Ladeveze, P. (1989b), "La methode 11 grand increment de temps pour l'analysede structures 11 comportement non lineaire decrit par variables internes,"Comptes Rend. Acad, Sci. Paris 309 11,1095-1099.
Ladeveze, P. (1990a), "Modelisation et cacul des structures: de nouveaux defis,"La Recherche AerospatiaLe (French and English versions) 5, 29-56.
Ladeveze, P. (1990b), "Dne nouvelle methode pour l'analyse des structuresmassives," Technical Note Aerospatiale STSfT3 No. 45.
Ladeveze, P. (1991a), "New advances in the large time increment method," NewAdvances in ComputationaL StructuraL Mechanics (P. Ladeveze & O. C.Zienkiewicz eds), Elsevier, pp. 3-21.
Ladeveze, P. (1991b), "Sur une theorie des grandes transformations:modelisation et calcul," Report No. 116, LMT Cachan.
Ladeveze, P. (1992a). "A damage computational method for composite structures," Compo Struct. 44,79-87.
Ladeveze, P. (1992b), "La manrise des modeles en mecanique des structures:erreurs et ameliorations adaptatives," Rev. Eur. ELem. Finis 1, 9-30.
Ladeveze, P., and Lorong, Ph. (1992), "A large time increment approach withdomain decomposition technique for mechanical non linear problems,"Computing Methods in Applied Sciences and Engineering INRlA, pp. 569578.
Ladeveze, P., and Lorong, Ph. (1993), "Formulation et strategies "paralleles"pour l'analyse non lineaire des structures," CoLloque NationaL en CaLcuL desStructures, Hermes, pp. 910-919.
Ladeveze, P., and Pelle, J.-P. (1989c), "Accuracy in finite element computationfor eigenfrequencies," Int.J. 29,1929-1949.
Ladeveze, P., and Rougee, P. (1985), "Plasticite et viscoplasticite sour chargement cyclique: proprietes du cycle limite," Comptes Rend. Acad. Sci. Paris301 II, 891-894.
Ladeveze, P., Coffignal, G., and Pelle, J.-P. (1986), "Accuracy of elastoplasticand dynamic analysis," Accuracy Estimates and Adaptive Refinement inFinite ELement Computation (I. Babuska et al. eds), Wiley, Chapt. 11, pp.181-203.
Bibliography 213
Ladeveze, P., Maia, N., and Reynier, M. (1994a), "Updating of finite elementmodels using vibration tests," AIAA J. 32,1485-1492.
Ladeveze, P., Maia, N., and Reynier, M. (1994b), "Error in the constitutive relation in dynamics: theory and application for model updating," InverseProblems in Engineering Mechanics (H. D. Bui et at. eds), Balkema, pp.251-256. .
Ladeveze, P., Marin, Ph., Pelle, J.-P., and Gastine, J.-L. (1992), "Accuracy andoptimal meshes in finite element computation for nearly incompressiblematerials," Compo Meth. Appl. Mech. Engr. 94,303-315.
Ladeveze, P., Nedjar, D., and Reynier, M. (1994), "Updating finite elementmodels using vibration tests," AIAA J. 32, 1485-1492.
Ladeveze, P., Pelle, J.-P., and Rougeot, Ph. (1991), "Error estimation and meshoptimization for classical finite elements," Engr. Compo 8, 69-80.
Lee, E. H. (1969), "Elastic plastic deformations at finite strains," J. Appl. Mech.36,1-6.
Leguillon, D., and Sanchez-Palencia, E. (1987), Computation of Singular Solutions in Elliptic Problems and Elasticity, RMA 5, Masson.
Lemaitre, J., and Chaboche, J.-L. (1990), Mechanics of Solid Materials, Cambridge.
Lesne, P. M., and Savalle, S. (1989), "An efficient cycles jump technique forviscoplastic structure calculations involving large number of cycles," 2ndInternational Conference on Computational Plasticity, Barcelona, pp. 591602.
Le Tallec, P., De Roech, Y. H., and Vidrascu, M. (1991), "Domain decomposition methods for large linearly elliptic three dimensional problems," J.Comp.Appl. Math. 34,93-117.
Lions, P.-L. (1989), "On the Schwarz alternating method-a variant for nonoverlapping subdomains," Proc. 3rd Int. Sympos. Domain DecompositionMethods for P. D. E. SIAM, pp. 1-22.
Liu, B. (1992), "Simulation numerique de l'emboutissage-methode a grandincrement de temps," thesis, University of Paris 6.
Lorong, P. (1994), "Une approache a grand increment de temps avecdecomposition de domaine en mecanique nonlineaire des structures," thesis,ENS Cachan.
214 Nonlinear Mechanics of Structures
Luo, J. c., and Friedman, M. B. (1990), "A parallel computational model forfinite element method on a memory-sharing multiprocessor computer,"Compo Meth. Appl. Mech. Engr. 84,193-209.
Maier, G., and Nappi, A. (1983), "On the unified framework provided bymathematical programming to plasticity," Mechanics of Material Behavior(G. J. Dvorak & R. T. Shield eds), Elsevier, pp. 253-273.
Maier, G., Comi, C., Corigiliano, A., and Perego, U. (1993), "Theoretical background and computational methodologies," Part 1. Bounds and Estimateson Inelastic Deformations Rept. RA1-0162, Milan Technical University.
Malvern, L. E. (1969), Introduction to the Mechanics of a Continuous Medium,Prentice-Hall.
MandelL, J. (1966), Cours de Mecanique des Milieux Continus, Gautier-Villars.
Mandel, J. (1972), "Director vectors and constitutive equations for plastic andviscoplastic media," Proc. Sympos. on Problems ofPlasticity (A. Sawczuked), Nordhoff, pp. 125-141.
Mandel, J. (1993), "Balancing domain decomposition," Comm. Appl. Num.Meth. 9,233-241.
Marigo, J.-J. (1989), "Constitutive relation in plasticity, damage and fracturebased on a work property," Nucl. Engr. Design 114,249-265.
Marquis, D., and Costa Mattos, H. S. (1991), "Modeling of plasticity and agingas coupled phenomena," Int. J. Plasticity 7, 865-877.
Martin, J.-B. (1975), Plasticity-Fundamental and General Results, MIT Press.
Mercier, B. (1974), "On the finite element approximation and the solution by apenalty duality algorithm of an elastoplastic problem," Laboria Rept. No.7503.
Meric, L., Poubanne, P., and Cailletaud, G. (1991), "Single crystal modeling forstructural calculations. Part I: model presentations," J. Engr. MatI. Tech.113,162-170.
Morand, H. J. P., and Ohayon, R. (1992), Interaction Fluide-Structure, RMA23, Masson.
Moreau, J.-J. (1966), "Fonctionnelles convexes-Seminaire sur les equationsaux derivees partielles," College de France, Paris.
Bibliography 215
Moreau, 1.-J. (1974), "On unilateral constraints, friction and plasticity," NewVariational Techniques in Mathematical Physics (G. Capriz & G. Stampacchia eds), Edizioni Cremonese, pp. 175-322.
Moreau, J.-J. (1975), "Application of convex analysis to the treatment of elastoplastic systems," Application of methods of Functional Analysis to Problems in Mechanics (P. Germain & B. Nayroles eds), Lecture Notes inMathematics, Springer-Verlag.
Nagtegaal, J. C. (1982), "On the implementation of inelastic constitutive equations with special reference to large deformation problems," Compo Meth.Appl. Mech. Engr. 33,469-484.
Naghdi, P. M. (1990), "A critical review of the state of finite plasticity," J. Appl.Math. Phys. 41,315-394.
Nayroles, B. (1973), "Point de vue algebrique, Convexite et integrandesconvexes en Mecanique des Solides," New Variational Techniques inMathematical Physics, CIME, pp. 324-404.
Necas, 1., and Hlavacek, I. (1981), Mathematical Theory ofElastic and ElastoPlastic Bodies: An Introduction, Elsevier.
Nguyen, Q. S. (1973), "Contribution a la theorie macroscopic deI 'elastoplasticite avec ecrouissage," thesis, University of Paris 6.
Nguyen, Q. S. (1977), "On the elastic-plastic initial boundary value problem andnumerical integration," Int. J. Num. Meth. Engr. 11,817-832.
Nguyen, Q. S. (1984), "Bifurcation et stabilite des systemes irreversiblesobeissant au principe de dissipation maximale," J. Mecan. 3,41-61.
Noor, A. K., and Peter, J. M. (1991), "Strategies for large scale structural problems on high-performance computers," Comm. Appl. Num. Meth. 7, 465478.
Nour-Omid, B., and Park, K. C. (1987), "Solving structural mechanics problemson the CALTECH hypercube machine," Compo Meth. Appl. Mech. Engr.61,161-176.
aden, J. T. (1971), Finite Elements ofNonlinear Continua, McGraw-Hill.
Onate, E., and De Saracibar, A. (1990), "Analysis of sheet metal forming problems using a selective bending-membrane formulation," Int. J. Num. Meth.Engr. 30,1577-1593.
216 Nonlinear Mechanics ofStructures
Ortiz, M., and Martin, J.-B. (1989), "Symmetry-preserving return mapping algorithms and incrementally extremal paths: a unification of concepts," Int. J.Num. Meth. Engr. 28,1839-1853. -
Ortiz, M., and Simo, J. C. (1986), "An analysis of a new class of integrationalgorithms for elastoplastic constitutive relations," Int. J. Num. Meth. Engr.23, 353-366.
Owen, D. J. R., and Hinton, E. (1980), Finite Elements in Plasticity, PineridgePress.
Panagiotopoulos, P. D. (1985), Inequality Problems in Mechanics and Applications, Birkhauser.
Park, K. c., and Felippa, C. A. (1983), "Partitioned analysis of coupled systems," Computational Methods for Transient Analysis (T. Belytschko & T.Hughes eds), Elsevier, pp. 157-220.
Perego, U. (1988), "Explicit backward difference operators and consistent predictors for linear hardening elastic-plastic constitutive laws," Solid Mech.Arch. 13,65-102.
Pijaudier-Cabot, G., Dube, J.-F., Laborderie, Ch., and Bode, L. (1994), "Damage models for concrete in transient dynamics," Fracture and Damage inQuasi Brittle Structures (Z. P. Bazant et a1. eds), Elsevier, pp. 201-216.
Poggu, M., and Tournemine, G. (1992), Mode1isation et Resolution d'Equationsde la Mecanique des Milieux Continus, Ellipse.
Potier-Ferry, M. (1987), "Foundations of elastic post-buckling theory," Bucklingand Post-buckling, Lecture Notes in Physics, 288, Springer-Verlag, pp. 182.
Prager, W., and Synge, J. L. (1947), "Approximation in elasticity based on theconcept offunction space," Q. Appl. Math. 5,261-269.
Pr6d6leanu, M. ed (1987), Computational Methods for Predicting Material Processing Defects, Elsevier.
Raous, M., Chabrand, P., and Lebon, F. (1988), "Numerical methods for frictional contact problems and applications," J. Meca. Th. Appl. 7, 111-128.
Rheinbolt, W. C. (1986), Numerical Analysis ofParameterized Nonlinear Equations, Wiley.
Bibliography 217
Rice, J. R. (1971), "Inelastic constitutive relations for solids, an internal variabletheory and its application to metal plasticity," J. Mech. Phys. Solids 9, 433455.
Riks, E. (1991), "On formulations of path-following techniques for structuralstability analysis," New Advances in Computational Structural Mechanics(P. Ladeveze & O. C. Zienkiewicz eds), Elsevier, pp. 65-80.
Rockafellar, R. T. (1970), Convex Analysis, Princeton University Press.
Rougee, P. (1991), "A new Lagrangian intrinsic approach of continuous mediain large deformations," Eur. J. Mech. A/Solids 10,15-39.
Salen~on, J. (1988), Mecanique des Milieux Continus, Ellipse.
Schwarz, H. A. (1869), " Ober einige addildungsaufgaben", Ges. math. Abh. 11,65-83.
Sidoroff, F. (1973), "The geometrical concept of intermediate configuration andelastic-plastic finite strain," Arch. Mech. 25,299-309.
Simmonds, J. G., and Warne, P. G. (1994), "Notes on the nonlinearly elasticBoussinesq problem," J. Elas. 34, 69-82.
Simo, J. c., and Govindjee, S. (1991), "Nonlinear B-stability and symmetrypreserving return mapping algorithms for plasticity and viscoplasticity," Int.J. Num. Meth. Engr. 31,151-176.
Simo, J. c., and Taylor, R. L. (1985), "Consistent tangent operators for rateindependent elastoplasticity," Compo Meth. Mech. Engr. 48,101-118.
Stein, E., and Ohnimus, S. (1992), "Concept and realisation of integrated adaptive finite element methods in solid and structural mechanics," NumericalMethods in Engineering 92 (Ch. Hirsh et at. eds), Wiley, pp. 163-170.
Stolz, C. (1987), "Anelasticite et stabilite", thesis, Paris 6.
Suquet, P. (1981), "Sur les equations de la plasticite: existence et unicite dessolutions," J. Mecan. 20,3-39.
Talreja, R., ed (1993), Damage Mechanics ofComposite Materials, Elsevier.
Tardivel, F. (1988), "Sur la determination de caracteristiques mecanique d'unembouti," thesis, Paris 6.
Ternan, R. (1977), Navier-Stokes Equations, Studies in Mathematics and itsApplications, North Holland.
218 Nonlinear Mechanics of Structures
Teodosiu, C. (1970), "A dynamic theory of dislocations and its applications tothe theory of the elastic-plastic continuum," Fundamental Aspects ofDislocation Theory, II (J. A. Simmons et al. eds), Elsevier, pp. 837-876.
Toupin, R. A. (1952), "A variational principle for the mesh-type analysis of amechanical system," J. Appl. Mech. 19. 151-153.
Truesdell, C. A. (1971), Rational Thermodynamics, Wiley.
Valid, R. (1977), La Mecanique des Milieux Continus et Ie Calcul des Structures, Eyrolles.
Washizu, K. (1982), Variational Methods in Elasticity and Plasticity, PergamonPress.
Watanabe, 0., and Atluri, S. N. (1986), "Internal time, general internal variable,and multi-yield-surface theories of plasticity and creep: a unification of concepts," Int. J. Plasticity 2,37-57.
Zarka, J., Frelat, J., Inglebert, 1., and Navidi, K. (1988), A New Approach to Inelastic Analyses ofStructures, Martinus Nijhoff.
Ziegler, H. (1963), "Some extremum principles in irreversible thermodynamicswith application to continuum mechanics," Progress in Solid Mechanics IV(I. N. Sneddon & R. Hill eds), North Holland, Chapt 2.
Zienkiewicz, O. C. and Taylor, R. L. (1991), The Finite Element Method, 4th ed,McGraw-Hill.
Zienkiewicz, O. C. and Zhu, J. Z. (1992), "The super convergent patch recoveryand adaptative finite element refinements," Compo Meth. Appl. Mech. Engr.101,207-224.
Zienkiewicz, O. c., Wood, W. L., Hine, N. W., and Taylor, R. L. (1984), "Aunified set of single step algorithms. Part I: general formulation and applications," Int. J. Num. Meth. Engr. 20,1529-1552.
Index
A posteriori error estimates, 56, 92adaptive, 32admissible (kinematically), 25,41,66,183
admissible (solution), 27, 34admissible (statically), 25, 41, 66, 183admissible (thermodynamically), 23admissibility (notion of), 25, 32assemblage, 149, 154, 160, 162, 169,170,173
augmented Lagrangian, 52, 110, 159
Beam, 101, 178, 190,200bi-potential, 36bi-standard, 24,34-37, 43buc~ing, 177,189,202,204
Cauchy stress, 180, 195cohesion, 191, 195compact, 122conjugate gradient, 52, 200convergence, 39,44,49, 74,84,87,90,98,107,111,115,118,122,127,131,146,155,159,164,166,168,171
convex (strictly), 108, 109convex sweeping, 39, 43crack, 4, 202cyclic, 135cyclic jumps, 135
Damage, v, 4, 37, 52, 153, 177,202-204
decomposition (of domain), 149, 150,154, 160
delamination, 153, 204derivative (of Jaumann), 179, 180discretization (in time), 44, 117, 130,131, 141
dissipation (pseudo-potential), 12, 14,17,18,21
dual (function), 14, 17, 18, 76
Elastic domain, 14, 18equation of state, 16, 153, 192error in constitutive relation (CR), v,9, 24-26, 28-30, 32, 34-37, 99
error in dissipation, 9, 28, 29error indicators, 48, 92, 93, 127, 142Euclidean space, 1Euclidean transpose, 1
Fatigue, 135finite elements, 25, 32, 40, 48, 52,100,111, 117, 136, 138, 140, 145
first law (of thermodynamics), 10fluid, 37free energy, 4, 9, 10, 14, 18,25,28,33,35,56,69,92,100,193
friction, 36, 151, 152, 156, 163, 164,167
Gauss (points), 150gradient, 12,21, 179, 187, 190, 195,197
Hypercircle, 10, 29, 35hyperelastic (material), 101,107,110
Identification, 9incompressibility, 13, 16incremental (methods), 39, 52, 55indicator function, 14, 16-18,33,43,75
initial conditions, 2, 3, 5, 6, 25, 34,56, 141
initial value, 46, 74initialization, 58, 102, 107, 109, 115integration (cycles of), 136, 138integration (points of), 112, 136
220 Index
interface, 149, 151,152,154, 158,161,163-166,168,170,171,173
interfaces (examples ot), 151internal stress, 179, 183internal variables (models with), 9, 154
Jaumann strain rate, 177
Large deformations, v, vi, 4, 52, 177,178,182,187,189,192,199
Legendre-Fenchel, 12linearized, 111, 114local equations, 4, 45, 55-58, 108, 154,171,195,196,200
local error, 37
Material (formulation), vi, 183material (quantities), 177mesh, 32, 111metal forming, 178monotone (maximal), 75, 76, 78, 84, 87,90,91
monotone (strictly), 48-51, 88, 167
Newton, 39, 40, 47, 48, 52, 109-111,119,128,177
normal formulation, 9, 21-24, 29, 30, 32,34,41,43,56,102,149,170
notation, 1, 10, 11, 15,27,29,35,40,49,63,77,79,80,88,90,95,102,145,151,155,156,171,172,179
Parallel, 48, 127, 128, 149, 150, 160parallelism (degree ot), 128,149,150partitioning, vi, 56, 58, 108, 112, 136,150,153,154,171
perfect links, 159, 163, 167performance, 52, 55, 121, 125periodic, 135, 136, 139plasticity (perfect), 16, 43point environments, 44Prandtl-Reuss, 14, 15, 17, 125preliminary phase, 118, 119, 127, 130,131, 146
principle of virtual power, 3, 4, 7
Quasi-Newton, 52, 129
Radial loading, 111, 114, 119, 128,191,199
rate (of deformation, strain), 3,10,13,32,66,177,179,180,182,183,187,191,197
rate (of stress), 41Rayleigh quotient, 120, 121, 123regularity, 4,12,37,74,79,163
Second law (of thermodynamics), 11shell, 190singularity, 4small disturbances, 1, 3, 4, 10, 52, 149,177,180,187,189,196,197,200
stability, 5, 6, 32, 34, 36, 44, 191standard (model), 18,26,27,99stress formulation, 72sub-differential, 12, 21, 88
Temperature, 19,24,131trace, 1, 18, 32
Uniqueness, 1, 4-6, 19, 70, 74, 91,168
update, 37
Velocities (problem in), 117, 191
Mechanical Engineering Series (continued from page ii)
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