Dauphiné twinning in polycrystalline quartz

Modelling and Simulation in Materials Science and Engineering

Volumn 15, Issue 3, 2007, Pages 369-384

  Barton, Nathan R ^a   Wenk, Hans Rudolf ^b  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GRAIN GROWTH; PHASE TRANSITIONS; POLYCRYSTALLINE MATERIALS; TEXTURES; TWINNING;

GRAIN INTERACTIONS; LOCAL STRESS VARIATIONS; POLYCRYSTALLINE QUARTZ; TEXTURE MEMORY;

QUARTZ;

EID: 34147175397     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/15/3/013     Document Type: Article

References (42)

1. Frondel C 1945 Secondary Dauphine twinning in quartz Am. Mineral. 447-68
2. Thomas L A and Wooster W A 1951 Piezocrescense-the growth of dauphiné twinning in quartz under stress Proc. R. Soc. Lond. Ser. A 208 43-62
3. Tullis J 1970 Quartz: preferred orientation in rocks produced by Dauphiné twinning Science 168 1342-4
4. Pehl J and Wenk H-R 2005 Evidence for regional Dauphiné twinning in quartz from the Santa Rosa mylonite zone in southern California. A neutron diffraction study J. Struct. Geol. 27 1741-9
5. Trepmann C A and Spray J G 2005 Planar microstructures and Dauphiné twins in shocked quartz from the Charlevoix impact structure, Canada Large Meteorite Impacts III Special Papers vol 384 (Boulder, CO: Geological Society of America) pp 315-28
6. Wenk H-R, Lonardelli I, Vogel S C and Tullis J 2005 Dauphiné twinning as evidence for an impact origin of preferred orientation in quartzite: an example from Vredefort, South Africa Geology 33 273-6
7. Wenk H-R, Rybacki E, Dresen G, Lonardelli I, Barton N, Franz H and Gonzalez G 2007 Dauphiné twinning and texture memory in polycrystalline quartz: 1. Experimental deformation of novaculite Phys. Chem. Miner. 33 667-76
8. MacDonald G J F 1957 Thermodynamics of solids under nonhydrostatic stress with geologic applications Am. J. Sci. 255 266
9. Barton N R, Benson D J and Becker R C 2003 A crystal level model for phase transformation allowing for large volume changes Dislocations, Plasticity and Metal Forming; Proceedings of Plasticity '03: The Tenth International Sympoisum on Plasticity and its Current Applications ed A S Khan (Fulton, MD: Neat Press) pp 412-14
10. Barton N R, Benson D J and Becker R 2005 Crystal level continuum modelling of phase transformations: the α↔ε transformation in iron Modelling Simul. Mater. Sci. Eng. 13 707-31
11. Jannetti C, Bassani J L and Turteltaub S 2005 Thermodynamic driving forces for martensitic phase transformations in shape-memory alloys Mechanically Active Materials (Materials Research Society Symposium Proceedings vol 855E ed K J Van Vliet et al (Warrendale, PA: Materials Research Society) p W5.2
12. Caspersen K J, Lew A, Ortiz M and Carter E A 2004 Importance of shear in the bcc-to-hcp transformation in iron Phys. Rev. Lett. 93 115501
13. Idesman A V, Levitas V I and Stein E 2000 Structural changes in elastoplastic material: a unified finite-element approach to phase transformation, twinning and fracture Int. J. Plast. 16 893-949
14. Yano K and Horie Y 2002 Mesomechanics of the α-ε transition in iron Int. J. Plast. 18 1427-46
15. Tullis J and Tullis T E 1974 Preferred orientation produced by mechanical Dauphiné twinning. Thermodynamics and axial experiments Am. Geophys. Union Monogr. 16 67-82
16. Ericksen J L 2001 On the theory of the α-β phase transition in quartz J. Elast. 63 61-86
17. Kihara K 2001 Molecular dynamics interpretation of structural changes in quartz Phys. Chem. Miner. 28 365-76
18. Levitas V I 1998 Thermomechanical theory of martensitic phase transformations in inelastic materials Int. J. Solids Struct. 35 889-940
19. Abeyaratne R and Knowles J K 1990 On the driving traction acting on a surface of strain discontinuity in a continuum J. Mech. Phys. Solids 38 345-60
20. Fischer F D, Reisner G, Werner E, Tanaka K, Cailletaud G and Antretter T 2000 A new view on transformation induced plasticity (TRIP) Int. J. Plast. 16 723-48
21. Anand L and Gurtin M E 2003 Thermal effects in the superelasticity of crystalline shape-memory materials J. Mech. Phys. Solids 51 1015-58
22. Kocks U F, Argon A S and Ashby M F 1975 Thermodynamics and kinetics of slip Prog. Mater. Sci. 19 1-288
23. Porter D A and Easterling K E 1992 Phase Transformations in Metals and Alloys (London: Chapman and Hall)
24. Follansbee P S and Kocks U F 1988 A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable Acta Metall. 36 81-93
25. Smirnov M B and Mirgorodsky A P 1997 Lattice-dynamical study of the α-β phase transition of quartz: soft-mode behavior and elastic anomalies Phys. Rev. Lett. 78 2413-16
26. Kimizuka H, Kaburaki H and Kogure Y 2003 Molecular-dynamics study of the high-temperature elasticity of quartz above the α-β phase transition Phys. Rev. B 67 024105 (Article)
27. Sorrell C A, Anderson H U and Ackermann R J 1974 Thermal expansion and the high-low transformation in quartz: II. Dilatometric studies J. Appl. Crystallogr. 7 468-73
28. Ghosh G and Olson G B 1994 Kinetics of F.C.C.→B.C.C heterogeneous martensitic nucleation: II. Thermal activation Acta Metall. Mater. 42 3371-9
29. Abeyaratne R and Knowles J K 1993 A continuum model for a thermoelastic solid capable of undergoing phase transitions J. Mech. Phys. Solids 41 541-71
30. Diani J M and Parks D M 1998 Effects of strain state on the kinetics of strain-induced martensite in steels J. Mech. Phys. Solids 46 1613-35
31. Grujicic M and Zhang Y 2000 Crystal plasticity analysis of stress-assisted martensitic transformation in Ti-10V-2Fe-3Al (wt.%) J. Mater. Sci. 35 4635-47
32. Marketz W T, Fischer F D and Clemens H 2003 Deformation mechanisms in tial intermetallics-experiments and modeling Int. J. Plast. 19 281-321
33. Hearmon R F S 1956 The elastic constants of anisotropic materials-II Adv. Phys. 323-82
34. Aleksandrov K S and Ryzhova T V 1961 The elastic properties of cyrstals Sov. Phys.-Crystallogr. 6 228-52
35. Coe R S and Patterson M S 1969 The α-β inversion in quartz: a coherent phase transition under nonhydrostatic stress J. Geophys. Res. 74 4921-48
36. Ohno I 1995 Temperature variation of elastic properties of α-quartz up to α-β transition J. Phys. Earth 43 157-69
37. Kihara K 1990 An X-ray study of the temperature dependence of the quartz structure Eur. J. Mineral. 2 63-77
38. Fletcher R 1987 Practical Methods of Optimization 2nd edn (New York: Wiley)
39. Anderson A, Cooper R, Neely R, Nichols A, Sharp R and Wallin B 2003 Users manual for ALE3D-an arbitrary Lagrange/Eulerian 3D code system Technical Report UCRL-MA-152204 Lawrence Livermore National Laboratory
40. Kocks U F, Tomé C N and Wenk H-R (ed) 1998 Texture and Anisotropy: Preferred Orientations in Polycrystals and their Effect on Materials Properties (Cambridge: Cambridge University Press)
41. Wenk H-R 2006 Neutron diffraction texture analysis Neutron Scattering in Earth Sciences (Reviews in Mineralogy and Geochemistry vol 63) ed H-R Wenk (Mineralogical Society of America) chapter 15 pp 399-426
42. Brown D W, Bourke M A M, Clausen B, Holden T M, Tomé C N and Varma R 2003 A neutron diffraction and modeling study of uniaxial deformation in polycrystalline beryllium Metall. Mater. Trans. A 34 1439-49