Teilprojekt D1

Literatur


[BAC86] H.J. Braudel, M. Abouaf, J.L. Chenot An implicit incrementally objective formulation for the solution of elastoplastic problems at finite strain by the F.E.M.
Computers and Structures, 24:825-843, 1986.
[BH88] B.E. Bjorstad, A. Hvidsten Iterative methods for substructured elasticity problems in structural analysis.
In R. Glowinski, G.H. Golub, G.A. Meurant, J. Periaux, Hrsg., First International Symposium on Domain Decomposition Methods for Partial Differential Equations, S. 301-312, Philadelphia, SIAM, 1988.
[BM91] D. Besdo, M. Müller The influence of texture development on the plastic behaviour of polycrystals.
In D. Besdo, E. Stein: Finite Inelastic Deformations - Theory and Applications. IUTAM-Symp. Hannover 1991. Berlin: Springer, 135 - 144, 1991.
[BMS91] B.E. Bjorstad, R. Moe, M. Skogen Parallel Domain Decomposition and Iterative Refinement Algorithms.
In W. Hackbusch, Hrsg., Parallel algorithms for partial differential equations, Braunschweig, 1991, Vieweg, Proc. of the 6th GAMM-Seminar, S.28-46, Kiel, 1990.
[BMS93] D. Bischoff, R. Mahnken, E. Stein Identifikation von Materialparametern mit Finite-Element Methoden.
Arbeitsbericht 1991/92/93. TU Braunschweig: SFB 319.
[BPS89] J.H. Bramble, J.E. Pasciak, A.H. Schatz The construction of preconditioners for elliptic problems by substructuring I - IV.
Mathematics of Computation, 1986, 1987, 1988, 1989. 47, 103-134, 49, 1-16, 51, 415-430, 53, 1-24.
[BPX90] J.H. Bramble, J.E. Pasciak, J. Xu Parallel multilevel preconditioners.
Mathematics of Computation, 55(191):1-22, 1990.
[CO92] A.M. Cuitino, M. Ortiz State Updates and State-Transfer Operators in Computational Plasticity.
In D. Besdo, E. Stein, Hrsg., Finite Inelastic Deformations - Theory and Applications, IUTAM Symposium Hannover 1991, S.239-258, Springer Verlag Berlin, Heidelberg, 1992.
[Cri87] M.A. Crisfield Consistent schemes for plasticity computation with the Newton-Raphson Method.
In D.R.J. Owen, E. Hinton, E. Onate, Hrsg., Computational Plasticity, Proceedings of the International Conference held in Barcelona, Spain, 6th-10th April 1987,S.133-159, Swansea, 1987
[DA93] H. Duddeck, H. Ahrens u.a. Berechnung metallischer Strukturen mit zeitabhängigen Stoffgesetzen.
Arbeitsbericht 1991/92/93. TU Braunschweig: SFB 319.
[DB93] S. Demmerle, J.P. Boehler Optimal design of biaxial tensile cruciform specimens.
J. Mech. Phys. Solids 41 (1993)1, 143 - 181, 1993.
[DKP93] W. Dahl, R. Kopp, O. Pawelski, R. Pankert Umformtechnik: Plastomechanik und Werkstoffkunde.
Düsseldorf: Stahleisen und Berlin: Springer, 1993.
[DSW91] M.Dryja, B.F. Smith, O.B. Widlund Schwarz analysis of iterative substructuring algorithms for problems in three dimensions.
Report, Dep. of Computer Science, Courant Institut, 1991.
[Dry82] M. Dryja A capacitance matrix method for Dirichlet problems on polygonal regions.
Numer. Math., 39(1):51-64, 1982.
[Dry88] M.Dryja A method of domain decomposition of 3-D finite element problems.
In R. Glowinski, G.H. Golub, G.A. Meurant, J. Periaux, Hrsg., First International Symposium on Domain Decomposition Methods for Partial Differential Equations, S. 43-61, Philadelphia, SIAM, 1988.
[GS88] F. Gruttmann, E. Stein Tangentiale Steifigkeitsmatrizen bei Anwendung von Projektionsverfahren in der Elastoplastizitätstheorie.
Ing. Archiv, 58:15-24, 1988.
[KG87] D.E. Keyes, W.D. Gropp A comparision of domain decomposition techniques for elliptic partial differential equations and their parallel implementation.
SIAM J. Sci. Stat. Comput., 8:S166-S202, 1987.
[KNS94] O. Klaas, R. Niekamp, E. Stein A Parallel Finite Element Program with Adaptive Mesh Refinement.
124. WE-Heraeus-Seminar, Parallele Algorithmen zur Behandlung von Problemen der Festkörpermechanik, Bad Honnef, 28.2.-3.3. 1994.
[MHS92] N. Müller-Hoeppe, E. Stein Modelling and computation of finite viscoplastic strains.
In D. Besdo, E. Stein, Hrsg., Finite Inelastic Deformations - Theory and Applications, IUTAM Symposium Hannover 1991, S.363-372, Springer Verlag Berlin, Heidelberg, 1992.
[MS93] R. Mahnken, E. Stein Identifikation of parameters for visco-plastic models via finite-element methods and gradient methods.
Universität Hannover: IBNM-Bericht 93/5.
[MW94] S. Meynen, P. Wriggers Implementierung von Gleichungslösern für nichtlineare Probleme der Festkörpermechanik.
124. WE - Heraeus - Seminar, Parallele Algorithmen zur Behandlung von Problemen der Festkörpermechanik. Bad Honnef, 28.2.-3.3. 1994.
[ND81] J.C. Nagtegaal, J.E. DeJong Some computational aspects of elastic-plastic large strain analysis.
International Journal for Numerical Methods in Engineering, 17:15-41, 1981.
[OP85] M. Ortiz, E.P. Popov Accuracy and stability of integration algorithms for elastoplastic constitutive relations.
International Journal for Numerical Methods in Engineering, 21:1561-1576, 1985.
[OVR90] J.M. Ortega, R.G. Voigt, C.H. Romine Parallel Algorithms for Matrix Computations.
In K.A. Gallivan et. al., chapter Bibliography on Parallel and Vector Numerical Algorithms. SIAM 1990.
[Osw89] P. Oswald On estimates for hierarchic basis representations of finite element functions.
Preprint N/89/16, Friedrich-Schiller-Universität Jena, Jena, 1989.
[PK93] U. Peil, D. Kuck Stahlkonstruktionen unter zyklischer Belastung.
Arbeitsbericht 1991/92/93. TU Braunschweig: SFB 319.
[PO92] D. Peric, D.R.J. Owen A Model for Large Deformations of Elasto-Viscoplastic Solids at Finite Strain: Computational Issues.
In D. Besdo, E. Stein, Hrsg., Finite Inelastic Deformations--Theory and Applications, IUTAM Symposium Hannover 1991, S.299-312, Springer Verlag Berlin, Heidelberg, 1992.
[PR93] U. Peil, M. Reininghaus Baustahl unter mehrachsiger zyklischer Belastung.
Arbeitsbericht 1991/92/93. TU Braunschweig: SFB 319.
[RT91] Y.-H. De Roeck, P. Le Tallec Analysis and test of a local domain decomposition preconditioner.
In R. Glowinski, Y. Kusnetsov, G.A. Meurant, J. Periaux, O. Widlund, Hrsg., Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations, S. 112-128, Philadelphia, SIAM, 1991.
[Rit94] R. Ritter Verformungsmessungen mit optischen Ganzfeldmethoden an metallischen Bauteilen.
Förderungsanträge 1994/95/96. TU Braunschweig: SFB 319.
[Roe89] Y.-H. De Roeck A local preconditioner in a domain-decomposed method.
Technical Report TR89/10, Centre Europeen de Recherche et de Formation Avancee en Calcul Scientifique, Toulouse, France, 1989.
[Smi90] B.F. Smith A domain decomposition algorithm for eliptic problems in three dimensions.
Preprint MCS-P185-1090, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, 1990.
[Smi91] B.F. Smith A parallel implementation of an iterative substructuring algorithm for problems in three dimensions.
Preprint MCS-P249-0791, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, 1991.
[SO85] J.C. Simo, M. Ortiz A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations.
Computer Methods in Applied Mechanics and Engineering, 49:221-245, 1985.
[ST85] J.C. Simo, R.L. Taylor Consistent tangent operators for rate-independent plasticity.
Computer Methods in Applied Mechanics and Engineering, 48:101-118, 1985.
[Ste85] E.A. Steck A stochastic model for the high-temperature plasticity of metals.
Int. J. of Plasticity 1, 243 - 258, 1985.
[Ste94] E. Stein Parameteridentifikation mit Finite-Element Methoden.
Förderungsanträge 1994/95/96. TU Braunschweig: SFB 319.
[SWW89] E. Stein, W. Wagner, P. Wriggers Grundlagen nichtlinearer Berechnungsverfahren in der Strukturmechanik.
In E. Stein, Hrsg., Nichtlineare Berechnungen im Konstruktiven Ingenieurbau, Berichte zum Schlußkolloquium des gleichnamigen DFG-Schwerpunktprogramms, 2.-3.März 1989 in Hannover, S.1-53, Springer Verlag Berlin, Heidelberg, 1989.
[TN91] T. Takeda, Y. Nasu Evaluation of yield function including effects of third stress invariant and initial anisotropy.
J. of Strain Anal. 26, 47 - 53, 1991.
[TRV90] P. Le Tallec, Y.-H. De Roeck, M. Vidrascu Domain - decomposition methods for large linearly elliptic three dimensional problems.
Techn. Report TR/PA/90/20, Centre Europeen de Recherche et de Formation Avancee en Calcul Scientifique, Toulouse, France, 1990.
[Yse86a] H. Yserentant Hierarchical basis give conjugate gradiant type methods a multigrid speed of convergence.
Appl. Math. and Comp., 19:347-358, 1986.
[Yse86b] H. Yserentant On the multi-level splitting of finite element spaces.
Numer. Math., 49(4):379-412, 1986.


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H. Rhein und D. Michael, Januar 1998