Numerical integration of lattice rotation in polycrystal plasticity
A numerical algorithm to calculate the lattice rotation in polycrystal plasticity models, that is based on the analytical integration of the lattice rotation update equation, is presented. Implicit and explicit implementations perform equally well and are superior to the currently used numerical int...
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| Vydáno v: | International journal for numerical methods in engineering Ročník 52; číslo 12; s. 1487 - 1500 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Chichester, UK
John Wiley & Sons, Ltd
30.12.2001
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| ISSN: | 0029-5981, 1097-0207 |
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| Abstract | A numerical algorithm to calculate the lattice rotation in polycrystal plasticity models, that is based on the analytical integration of the lattice rotation update equation, is presented. Implicit and explicit implementations perform equally well and are superior to the currently used numerical integration schemes. Copyright © 2001 John Wiley & Sons, Ltd. |
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| AbstractList | A numerical algorithm to calculate the lattice rotation in polycrystal plasticity models, that is based on the analytical integration of the lattice rotation update equation, is presented. Implicit and explicit implementations perform equally well and are superior to the currently used numerical integration schemes. Copyright © 2001 John Wiley & Sons, Ltd. A numerical algorithm to calculate the lattice rotation in polycrystal plasticity models, that is based on the analytical integration of the lattice rotation update equation, is presented. Implicit and explicit implementations perform equally well and are superior to the currently used numerical integration schemes. |
| Author | Tortorelli, D. A. Kok, S. Beaudoin, A. J. |
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| Cites_doi | 10.1016/0022-5096(92)80003-9 10.1016/S0045-7825(98)00034-6 10.1115/1.3564580 10.1016/0001-6160(83)90014-7 10.1016/0001-6160(85)90188-9 10.1016/0749-6419(89)90020-X 10.1155/TSM.10.167 |
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| References_xml | – reference: Chen C-T. Linear System Theory and Design. Holt, Rinehart and Winston: New York, 1984. – reference: Marin EB, Dawson PR. On modelling the elasto-viscoplastic response of metals using polycrystal plasticity. Computer Methods in Applied Mechanics and Engineering 1998; 165:1-21. – reference: Asaro RJ, Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metallurgica 1985; 33(6):923-953. – reference: Becker R, Panchanadeeswaran S. Crystal rotations represented as Rodrigues vectors. Textures and Microstructures 1989; 10:167-194. – reference: Kocks UF, Tomé CN, Wenk H-R. Texture and Anisotropy. Cambridge University Press: Cambridge, 1998. – reference: Mathur KK, Dawson PR. On modelling the development of crystallographic texture in bulk forming processes. International Journal on Plastics 1989; 5:67-94. – reference: Korn GA, Korn TM. Mathematical Handbook for Scientists and Engineers (2nd edn). McGraw-Hill: New York, 1968. – reference: Simo JC, Hughes TJR. Computational Inelasticity. Springer: New York, 1998. – reference: Peirce D, Asaro RJ, Needleman A. Material rate sensitivity and localized deformation in crystalline solids. Acta Metallurgica 1983; 31:1951-1976. – reference: Lee EH. Elastic-plastic deformation at finite strains. Journal of Applied Mechanics 1969; 36:1-6. – reference: Kalidindi SR, Bronkhorst CA, Anand L. Crystallographic texture evolution in bulk deformation processing of f.c.c. metals. Journal of the Mechanics and Physics of Solids 1992; 40(3):537-569. – reference: Taylor GI. Plastic strain in metals. Journal of the Institute of Metals 1938; 62:307-324. – year: 1984 – volume: 40 start-page: 537 issue: 3 year: 1992 end-page: 569 article-title: Crystallographic texture evolution in bulk deformation processing of f.c.c. metals publication-title: Journal of the Mechanics and Physics of Solids – volume: 33 start-page: 923 issue: 6 year: 1985 end-page: 953 article-title: Texture development and strain hardening in rate dependent polycrystals publication-title: Acta Metallurgica – start-page: 283 year: 1974 end-page: 309 – volume: 10 start-page: 167 year: 1989 end-page: 194 article-title: Crystal rotations represented as Rodrigues vectors publication-title: Textures and Microstructures – year: 1968 – volume: 165 start-page: 1 year: 1998 end-page: 21 article-title: On modelling the elasto‐viscoplastic response of metals using polycrystal plasticity publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 62 start-page: 307 year: 1938 end-page: 324 article-title: Plastic strain in metals publication-title: Journal of the Institute of Metals – volume: 36 start-page: 1 year: 1969 end-page: 6 article-title: Elastic–plastic deformation at finite strains publication-title: Journal of Applied Mechanics – volume: 31 start-page: 1951 year: 1983 end-page: 1976 article-title: Material rate sensitivity and localized deformation in crystalline solids publication-title: Acta Metallurgica – volume: 5 start-page: 67 year: 1989 end-page: 94 article-title: On modelling the development of crystallographic texture in bulk forming processes publication-title: International Journal on Plastics – year: 1998 – year: 1999 – volume: 62 start-page: 307 year: 1938 ident: e_1_2_1_2_2 article-title: Plastic strain in metals publication-title: Journal of the Institute of Metals – ident: e_1_2_1_10_2 doi: 10.1016/0022-5096(92)80003-9 – volume-title: Texture and Anisotropy year: 1998 ident: e_1_2_1_3_2 – ident: e_1_2_1_5_2 doi: 10.1016/S0045-7825(98)00034-6 – ident: e_1_2_1_6_2 doi: 10.1115/1.3564580 – volume-title: Linear System Theory and Design year: 1984 ident: e_1_2_1_4_2 – ident: e_1_2_1_7_2 doi: 10.1016/0001-6160(83)90014-7 – volume-title: Mathematical Handbook for Scientists and Engineers year: 1968 ident: e_1_2_1_13_2 – ident: e_1_2_1_8_2 doi: 10.1016/0001-6160(85)90188-9 – start-page: 283 volume-title: Proceedings of the International Symposium on Foundations of Continuum Thermodynamics year: 1974 ident: e_1_2_1_11_2 – ident: e_1_2_1_9_2 doi: 10.1016/0749-6419(89)90020-X – ident: e_1_2_1_12_2 – ident: e_1_2_1_14_2 doi: 10.1155/TSM.10.167 – volume-title: Computational Inelasticity year: 1998 ident: e_1_2_1_15_2 |
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| Title | Numerical integration of lattice rotation in polycrystal plasticity |
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