Do principal surfaces of stress and strain always exist?

Journal of Structural Geology

Volumn 19, Issue 7, 1997, Pages 997-1010

  Treagus, Susan H ^a   Lisle, Richard J ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; STRAIN RATE; STRESS CONCENTRATION; VECTORS;

PRINCIPAL STRAIN SURFACE; PRINCIPAL STRESS SURFACE; Z VECTOR FIELDS;

TECTONICS;

DEFORMATION; FOLIATION; STRAIN; STRESS;

EID: 0031187947     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-8141(97)00018-7     Document Type: Article

References (52)

1. Atkinson, B. K. (editor) (1987) Fracture Mechanics of Rock. Academic Press, London.
2. Berthé, D., Choukroune, P. and Jegouzo, P. (1979) Orthogneiss, mylonite and non coaxial deformation of granites: the example of the South Armorican Shear Zone. Journal of Structural Geology 1, 31-42.
3. Björgum, O. (1951) On Beltrami vector fields and flows, Part 1. Univ. Bergen Årbok, Naturv. rekke 1.
4. Borradaile, G. J., Bayly, M. B. and Powell, C. McA. (1982) Atlas of Deformational and Metamorphic Rock Fabrics. Springer, Berlin.
5. Boussinesq, J. (1872) Lois géométriques des distribution des pressions, dans un solide homogène et ductile soumis à des déformations planes. Comptes rendus d l'Académie des Sciences, Paris 74, 242-246.
6. Cartwright, J., Mansfield, C. and Trudgill, B. (1995) The growth of faults by segment linkage: evidence from the Canyonlands grabens of S.E. Utah. Journal of Structural Geology 17, 1319-1326.
7. Childs, C., Nicol, A., Walsh, J. J. and Watterson, J. (1996) Growth of vertically segmented normal faults. Journal of Structural Geology 18, 1389-1397.
8. Cobbold, P. R. and Barbotin, E. (1988) The geometrical significance of strain trajectory curvature. Journal of Structural Geology 10, 341-349.
9. Cowie, P. A., Knipe, R. J., Main, I. G. and Wojtal, S. F. (editors) (1996) Scaling Laws for Fault and Fracture Populations - Analyses and Applications. Journal of Structural Geology 18, 2/3 (Special Issue).
10. Cutler, J. and Elliott, D. (1983) The compatibility equations and the pole to the Mohr circle. Journal of Structural Geology 5, 287-297.
11. Delaney, P.T. and Pollard, D.D. (1981) Deformation of host rocks and flow of magma during growth of minette dikes and breccia-bearing intrusions near Ship Rock, New Mexico. U.S. Geological Survey Professional Paper 1202
12. Dieterich, J. H. (1969) Origin of cleavage in folded rocks. American Journal of Science 267, 155-165.
13. Durney, D. W. and Kisch, H. (1994) A field classification and intensity scale for first generation cleavages. Journal of Australian Geology and Geophysics 15, 257-295.
14. Erickson, J. L. (1960) Tensor fields. In Encyclopedia of Physics, ed S. Flügge, Vol. 111/1, Springer, Berlin.
15. Fowler, T. (1996) The properties and geological environments of helicoids: axially symmetric surfaces in torsional and non-torsional deformations. Journal of Structural Geology 18, 505-517.
16. Griffith, A. A. (1920) The phenomenon of rupture and flow in solids. Philosophical Transactions of the Royal Society of London A221, 163-198.
17. Hancock, P. L. and Barka, A. A. (1987) Kinematic indicators on active normal faults in western Turkey. Journal of Structural Geology 9, 573-584.
18. Harland, W. B. (1971) Tectonic transpression in Caledonian Spitzbergen. Geological Magazine 108, 27-42.
19. Hirsinger, V. and Hobbs, B. E. (1983) A general harmonic coordinate transformation to simulate the states of strain in inhomogeneously deformed rocks. Journal of Structural Geology 5, 307-320.
20. Lin, S. and Williams, P. F. (1992) The origin of ridge-in-groove slickenside striae and associated steps in an S-C mylonite. Journal of Structural Geology 14, 315-321.
21. Lister, G. S. and Snoke, A. W. (1984) S-C mylonites. Journal of Structural Geology 6, 617-638.
22. Love, A. E. H. (1920) A Treatise on the Mathematical Theory of Elasticity, 3rd edn. Cambridge University Press, Cambridge.
23. Mandl, G. (1987) Discontinuous fault zones. Journal of Structural Geology 9, 105-110.
24. Means, W. D. (1984) Shear zones Types I and II and their significance for reconstruction of rock history. Geological Society of America Abstracts with Programs 16, A50.
25. Means, W. D. (1995) Shear zones and rock history. Tectonophysics 247, 157-160.
26. Nicholson, R. and Ejiofor, I. B. (1987) The three-dimensional morphology of arrays of echelon and sigmoidal mineral-filled fractures: data from north Cornwall. Journal of the Geological Society of London 144, 79-83.
27. Nicholson, R. and Pollard, D. D. (1985) Dilation and linkage of echelon cracks. Journal of Structural Geology 7, 583-590.
28. Nutbourne, A. W. and Martin, R. R. (1988) Differential Geometry Applied to Curve and Surface Design. Vol 1, Foundations. Ellis Horwood, Chichester.
29. Passchier, C. W. and Trouw, R. A. J. (1988) Microtectonics. Springer, Heidelberg.
30. Peacock, D. C. P. and Sanderson, D. J. (1991) Displacements, segment linkage and relay ramps in normal fault zones. Journal of Structural Geology 13, 721-733.
31. Pollard, D. D. and Segall, P. (1987) Theoretical displacements and stresses near fractures in rock with applications to faults, joints, veins, dykes and solutions surfaces. In Fracture Mechanics of Rock, ed. B. K. Atkinson, pp. 277-349. Academic Press, London.
32. Price, N. J. and Cosgrove, J. W. (1990) Analysis of Geological Structures. Cambridge University Press, Cambridge.
33. Ramsay, J. G. and Graham, R. H. (1970) Strain variations in shear belts. Canadian Journal of Earth Sciences 7, 786-813.
34. Ramsay, J. G. and Huber, M. (1983) The Techniques of Modern Structural Geology. Volume I. Strain Analysis. Academic Press, London.
35. Ramsay, J. G. and Huber, M. (1987) The Techniques of Modern Structural Geology. Volume II. Folds and Fractures. Academic Press, London.
36. Reks, I. J. and Gray, D. R. (1982) Pencil structure and strain in weakly deformed mudstone and siltstone. Journal of Structural Geology 4, 161-176.
37. Robin, P.-Y. and Cruden, A. R. (1994) Strain and vorticity patterns in ideally ductile transpression zones. Journal of Structural Geology 16, 447-466.
38. Sanderson, D. J. and Marchini, W. R. D. (1984) Transpression. Journal of Structural Geology 6, 449-458.
39. Schmeling, H., Cruden, A. R. and Marquart, G. (1988) Finite deformation in and around a fluid sphere moving through a viscous medium: implications for diapiric ascent. Tectonophysics 149, 17-34.
40. Segall, P. and Pollard, D. D. (1980) Mechanics of discontinuous faults. Journal of Geophysical Research 85, 4337-4350.
41. Shimamoto, T. (1975) The finite element analysis of a viscous spherical body embedded in a viscous medium. Journal of the Geological Society of Japan 81, 255-267.
42. Siddans, A. (1972) Slaty cleavage - a review of research since 1815. Earth Science Review 8, 205-232.
43. Simpson, C. and De Paor, D. G. (1993) Strain and kinematic analysis in general shear zones. Journal of Structural Geology 15, 1-20.
44. Suppe, J. (1985) Principles of Structural Geology. Prentice Hall, Englewood Cliffs, New Jersey.
45. Thomas, A. L. and Pollard, D. D. (1993) The geometry of echelon fractures in rock: implications from laboratory and numerical experiments. Journal of Structural Geology 15, 323-334.
46. Treagus, J. E. and Treagus, S. H. (1981 ) Folds and the strain ellipsoid: a general model. Journal of Structural Geology 3, 1-17.
47. Treagus, S. H. (1981) A theory of stress and strain variations in viscous layers, and its geological implications. Tectonophysics 72, 75-103.
48. Treagus, S. H. (1983) A theory of finite strain variation through contrasting layers, and its bearing on cleavage refraction. Journal of Structural Geology 5, 351-368.
49. Treagus, S. H. (1988) Strain refraction in layered systems. Journal of Structural Geology 10, 517-527.
50. Treagus, S. H. and Treagus, J. E. (1992) Transected folds and transpression: how are they associated?. Journal of Structural Geology 14, 361-367.
51. Willemse, E. J. M., Pollard, D. D. and Aydin, A. (1996) Three-dimensional analyses of slip distributions on normal fault arrays with consequences for fault scaling. Journal of Structural Geology 18, 295-309.
52. Wood, D. S. (1974) Current views on the development of slaty cleavage. Review of Earth and Planetary Science 2, 1-37.