15
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Finite element modeling of polycristalline solids

, , &
Pages 543-571 | Published online: 31 May 2012

References

  • Asaro , R. J. and Needleman , A. 1985 . “ Texture Development and Strain Hardening in Rate Dependent Polycrystals, Acta Metall., 23 ” . 923 – 953 .
  • Atluri , S. N. 1975 . “ On ‘hybrid’ finite element methods in solid mechanics, Advances in Computer Methods for Partial Differential Equations ” . Edited by: Vichin- evetsky , R. Pubi. AICA .
  • Beaudoin , A. J. , Mathur , K. K. , Dawson , P. R. and Johnson , G. C. 1993 . “ Three-dimensional deformation process simulation with explicit use of polycrystalline plasticity models, Int. J. Plast., 9 ” . 833 – 860 .
  • Beaudoin , A. J. , Mathur , K. K. , Dawson , P. R. and Kocks , U. F. A Hybrid Finite Element Formulation with Consideration of Macrostructural and Microstructural Linking, Int. J. Plast., in press
  • Becker , R. 1991 . “ Analysis of texture evolution in channel die compression—I. Effects of grain interaction, Acta Metall. Mater., 39 ” . 1211 – 1230 .
  • Becker , R. 1991 . “ Modeling Def. Crys. Solids, TMS ” . 249
  • Bratianu , C. and Atluri , S. N. 1983 . “ A hybrid finite element method for Stokes flow: Part I—formulation and numerical studies, Comp. Meth. Appl. Mech. Engrg., 36 ” . 23
  • Bryant , J. D. , Beaudoin , A. J. and Vandyke , R. T. 2036 . “ The Effect of Crystallographic Texture on the Formability of AA ” . Autobody Sheet, SAE Technical Paper Series, 940161, 1994
  • Chastel , Y. B. and Dawson , P. R. 1991 . “ Comparison of polycrystalline rolling simulations with experiments, Modeling Def. Cry. Solids (TMS) ” . 225 – 238 .
  • Chastel , Y. B. and Dawson , P. R. 1993 . “ An Equilibrium Based Model for Anisotropic Deformations of Polycrystalline Materials, Proc. ICOTOM-IO, Clausthal, Germany ” . 1747 – 1752 .
  • Chastel , Y. B. , Dawson , P. R. , Wenk , H.-R. and Bennett , K. 1993 . Anisotropic Convection with Implications for the Upper Mantle . J. Geophy. Res. , 98 : 17757 – 17771 . n.B10
  • Dawson , P. R. , Beaudoin , A. J. and Mathur , K. K. 1992 . “ Simulating deformation-induced texture in metal forming, Numerical Methods of Industrial Forming Processes, NUMIFORM '92, Rotterdam ” . 25 – 33 .
  • Dawson , P. R. , Beaudoin , A. J , Mathur , K. K , Kocks , U. F. and Korzekwa , D. A. 1992 . “ Crystallographic texture effects in hydroforming of aluminum sheet, Num. Meth. Sim. Ind. Metal Forming Proc, ASME-AMD, 156 ” . 1 – 10 .
  • Dawson , P. R , Chastel , Y. B , Sarma , G. B. and Beaudoin , A. J. 1993 . “ Simulating Texture Evolution in Fe-3%Si with Polycrystal Plasticity Theory, Proc. Int. Conf. Modeling Metal Rolling Processes, The Institute of Materials, London ” .
  • Dawson , P. R. , Beaudoin , A. J. and Mathur , K. K. “ Finite element modeling simulations of polycrystals, Computational Material Modeling ” . Edited by: Noor , A. ASME . press
  • Gotoh , M. 1978 . “ A finite element formulation for large elastic-plastic deformation analysis of polycrystals and some numerical considerations on polycrystalline plasticity, Int. J. Num. Meth. Engr, 12 ” . 101 – 114 .
  • Harren , S. V. and Asaro , R. J. 1989 . Nonuniform deformations in polycrystals and aspects of the validity of the Taylor model . J. Mech. Phys. Solids , 37 : 191 – 232 .
  • Havlicek , F. , Tokuda , M. , Hino , S. and Kratochvil , J. 1992 . “ Finite Element Analysis of Micro-Macro Transition in Polycrystalline Plasticity, Int. J. Plast., 8 ” . 477 – 499 .
  • Honeff , H. and Mecking , H. 1978 . “ A method for the determination of the active slip systems and orientation changes during single crystal deformation, Textures of Materials, Proc. ICOTOM V, Berlin ” . 265
  • Honeycombe , R. W.K. 1984 . “ The Plastic Deformation of Metals, 2nd Ed., Edward Arnold, London ” .
  • Hutchinson , J. W. 1977 . “ Creep and plasticity of hexagonal polycrystals as related to single crystal slip, Metall. Trans. 8A ” . 1465 – 1469 .
  • Johan , Z. , Mathur , K. K. , Johnsson , S. L. and Hughes , T. J.R. 1994 . “ An Efficient Communication Strategy for Finite Element Methods on the Connection Machine AM-5 System, Comp. Meth. Appl. Mech. and Engrg., 113 ” . 363 – 387 .
  • Johan , Z. , Mathur , K. K. , Johnsson , S. L. and Hughes , T. J.R. Scalability of Finite Element Applications on Distributed-memory Parallel Computers, Comp. Meth. Appl. Mech. and Engrg., in press
  • Kallend , J. S. , Kocks , U. F. , Rollett , A. D. and Wenk , H.-R. 1991 . “ Operational Texture Analysis, Mater. Sci. Engrg., A123 ” . 1 – 11 .
  • Kalidindi , S. R. , Bronkhorst , C. A. and Anand , L. 1992 . Crystallo- graphic texture evolution in bulk deformation processing of fee metals . J. Mech. Phys. Solids , 40 : 537 – 569 .
  • Kocks , U. F. 1970 . “ The Relations between Polycrystal Deformations and Single Crystal Deformations, Metall. Trans., 1 ” . 1121 – 1143 .
  • Kocks , U. F. and Canova , G. R. 1981 . “ How many slip systems and which?, Deformation of Polycrystals, Riso National Laboratory, Roskilde, Denmark ” . 35
  • Lebenson , R. A. , Sanchez , P. V. and Pochettino , A. A. 1990 . “ Modeling Texture Development of Zirconium Alloys at High Temperatures, Scripta Metall, et Mater., 30 ” . 481 – 486 .
  • Maniatty , A. M. 1991 . “ Ph.D. Dissertation, Cornell Univ. ” .
  • Maniatty , A. M. , Dawson , P. R. and Lee , Y. S. 1992 . “ A time integration algorithm for elasto-viscoplastic cubic crystals applied to modeling polycrystalline deformation, Int. J. Num. Meth. Engr., 35 ” . 1565 – 1588 .
  • Mathur , K. K. and Dawson , P. R. 1989 . “ On modeling the development of crystallographic texture in bulk forming processes, Int. J. Plast., 5 ” . 67 – 94 .
  • Mathur , K. K. and Dawson , P. R. 1990 . Texture development during wire drawing . J. Engrg. Mat. Tech. , 112 : 292 – 297 .
  • Mathur , K. K. , Dawson , P. R. and Kocks , U. F. 1990 . “ On modeling anisotropy in deformation processes involving textured polycrystals with distorted grain shape, Mech. Mater., 10 ” . 183 – 202 .
  • Mchugh , P. E. , Asaro , R. J. and Shih , C. F. 1993 . “ Computational modeling of metal matrix composite materials—I. Isothermal deformation patterns in ideal microstructures, Acta Metall. Mater, 41, n.5 ” . 1461 – 1476 .
  • Needleman , A. , Asaro , R. J. , Lemond , J. and Peirce , D. 1985 . “ Finite element analysis of crystalline solids, Comp. Meth. Applied Mech. Engr, 52 ” . 689 – 708 .
  • Peirce , D. , Asaro , R. J. and Needleman , A. 1982 . “ An analysis of nonuniform and localized deformation in ductile single crystals, Acta Met, 30 ” . 1087 – 1119 .
  • Smelser , R. E. and Becker , R. 1991 . “ Earing in cup drawing of a (100) single crystal, ABACUS User's Group Conf. Proc, Oxford ” . 457 – 471 .
  • CMSSL for CM-Fortran: CM-5 Version . 1994 . Version 3.1, Thinking Machines Corporation
  • Tome , C. , Canova , G. R. , Kocks , U. F. , Christodoulou , N. and Jonas , J. J. 1984 . “ The relationship between macroscopic and microscopic strain hardening in fee polycrystals, Acta Metall. 32 ” . 1637 – 1653 .
  • Tome , C. , Lebensohn , R. A. and Kocks , U. F. 1991 . “ A model for texture development dominated by deformation twinning: application to zirconium alloys, Acta Metall. Mater, 39 ” . 2667 – 2680 .
  • Tong , P. and Pian , T. H.H. 1969 . “ A variational principle and convergence of a finite-element method based on assumed stress distribution, Int. J. Solids Struct, 5 ” . 463
  • Valiant , L. 1982 . “ A Scheme for Fast Parallel Communication, SIAM J. Comp, 11 ” . 350 – 361 .
  • Van Bael , A. , Van Houtte , P. , Aernoudt , E. , Hall , F. R. , Pillinger , I. , Hartley , P. and Sturgess , C. E.N. 1991 . Anisotropic finite- element analysis of plastic metalforming processes 14 – 18 . Textures and Microstructures . 1007–1012
  • Yao , Z. and Wagoner , R. H. 1993 . “ Active slip in aluminum multicrystals, Acta Metall. Mater, 41, n. 2 ” . 451 – 468 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.