Implications of complex eigenvalues in homogeneous flow: A three-dimensional kinematic analysis

Journal of Structural Geology

Volumn 32, Issue 1, 2010, Pages 93-106

  Iacopini, David ^a   Carosi, Rodolfo ^b   Xypolias, Paraskevas ^c  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b UNIVERSITY OF PISA   (Italy)

^c UNIVERSITY OF PATRAS   (Greece)

Author keywords

Flow kinematics; Ghostvector; Non isochoric deformation; Pulsating pattern; Triclinic flow

Indexed keywords

3D FLOW; ALGEBRAIC ANALYSIS; COMPLEX CONJUGATE EIGENVALUES; COMPLEX EIGENVALUES; COMPLEX FLOW; EIGENVALUES; EIGENVECTORS; FABRIC ANALYSIS; FLOW KINEMATICS; HOMOGENEOUS FLOW; KINEMATIC ANALYSIS; KINEMATIC PROPERTIES; KINEMATIC VORTICITY; MATHEMATICAL PROPERTIES; PLANAR FLOW; SHEAR ZONE; STRAIN ACCUMULATIONS; STRAIN PATHS; THREE-DIMENSIONAL KINEMATICS;

ALGEBRA; DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; THREE DIMENSIONAL;

KINEMATICS;

COMPLEXITY; DEFORMATION MECHANISM; DILATION; EIGENVALUE; HOMOGENEITY; KINEMATICS; PETROFABRIC; SHEAR ZONE; STRAIN RATE; THRESHOLD; VORTICITY;

EID: 73449107108     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsg.2009.10.003     Document Type: Article

References (26)

1. Astarita G. Objective and generally applicable criteria for flow classification. Journal of Non-Newtonian Fluid Mechanics 6 (1979) 69-76
2. Czeck M.D., and Hudleston P.J. Testing models for obliquely plunging lineations in transpression. A natural example and theoretical discussion. Journal of Structural Geology 25 (2002) 959-982
3. De Paor D.G. Orthographic analysis - I deformation history. Journal of Structural Geology 5 (1983) 255-277
4. Guilbeau L. The history of the solution of the Cubic equation. Mathematica News Letter 5 4 (1930) 8-12
5. Iacopini D., Passchier C.W., Koehn D., and Carosi R. Fabric attractors in general triclinic flow systems and their application to high strain shear zones: a dynamical system approach. Journal of Structural Geology 29 (2007) 298-317
6. Jiang D. Vorticity determination, distribution, partitioning and the heterogeneity and non steadiness of natural deformations. Journal of Structural Geology 16 (1994) 1-121
7. Jiang D., and Williams P.F. High strain zone: a unified model. Journal of Structural Geology 20 (1998) 1105-1120
8. Kline M. Mathematical Thought from Ancient to Modern Times (1972), Oxford University Press, New York pp. 263-270
9. Lin S., Jiang D., and Williams P.F. Transpression (or transtension) zones of triclinic symmetry: natural example and theoretical modelling. In: Holdsworth R.E., Strachan R.A., and Dewey J.F. (Eds). Continental Transpressional and Tanstensional Tectonics. Geological Society of London, Special Publications vol. 135 (1998) 41-57
10. Means W.D., Hobbs B.E., Lister G.S., and Williams P.F. Vorticity and non-coaxiality in progressive deformation. Journal of Structural Geology 2 (1980) 371-378
11. McKenzie D. Finite deformation during fluid flow. Geophysical Journal of the Royal Astronomical Society 58 (1979) 689-715
12. Ottino J.M. The Kinematics of Mixing: Stretching, Chaos, and Transport (1989), Cambridge University Press, Cambridge, England
13. Passchier C.W. The use of Mohr circles to describe non coaxial progressive deformation. Tectonophysics 149 (1988) 323-338
14. Passchier C.W. The fabric attractor. Journal of Structural Geology 19 (1997) 113-127
15. Passchier C.W. Monoclinic model shear zones. Journal of Structural Geology 20 (1998) 1121-1137
16. Passchier C.W., and Trouw R.A. Microtectonics. second ed. (2005), Springer Verlag
17. Ramberg H. Particle paths, displacement and progressive strain applicable to rocks. Tectonophysics 28 (1974) 1-37
18. Ruelle D. Small random perturbations of dynamical systems and the definition of attractors. Communication of Mathematical Physics 82 (1981) 137-151
19. Soto J.I. A general deformation matrix for three-dimensions. Mathematical Geology 29 (1997) 93-130
20. Tikoff H., and Fossen B. Simultaneous pure and simple shear: the unifying deformation matrix. Tectonophysics 217 (1993) 267-283
21. Truesdell C. The Kinematic of Vorticity (1954), Indiana University Press, Bloomington
22. Weijermars R. The role of stress in ductile deformation. Journal of Structural Geology 13 (1991) 1061-1078
23. Weijermars R. Pulsating strain. Tectonophysics 220 (1993) 51-67
24. Weijermars R. Pulsating oblate and prolate three-dimensional strains. Mathematical Geology 29 (1997) 17-41
25. Weijermars R. Taylor - mill analogue for patterns of flow and deformation in rocks. Journal of Structural Geology 20 (1998) 77-92
26. Weijermars R., and Poliakov A. Stream functions and complex potential. implications for development of rock fabric and the continuum assumption. Tectonophysics 220 (1993) 33-50