Homogeneous steady deformation: A review of computational techniques

Journal of Structural Geology

Volumn 33, Issue 6, 2011, Pages 1046-1062

  Davis, Joshua R ^a   Titus, Sarah J ^a  

^a CARLETON COLLEGE   (United States)

Author keywords

Homogeneous deformation; Kinematic model; Transpression; Velocity gradient; Vorticity

Indexed keywords

BEST-FIT MODELS; COMPUTATIONAL TECHNIQUE; DEFORMATION TENSORS; DEGREES OF FREEDOM; FIELD DATA; HOMOGENEOUS DEFORMATION; KINEMATIC MODEL; KINEMATIC VORTICITY; LIE GROUP; MATHEMATICAL TOOLS; MATRIX EXPONENTIALS; ROCK DEFORMATION; SIMULTANEOUS DEFORMATION; STEADY DEFORMATION; STEADY MODEL; TRANSPRESSION; TRICLINIC SYMMETRY; VELOCITY GRADIENT;

ALGEBRA; DEFORMATION; KINEMATICS; NUMERICAL METHODS; VORTICITY;

STRUCTURAL GEOLOGY;

DEFORMATION MECHANISM; HOMOGENEITY; KINEMATICS; LITERATURE REVIEW; MATRIX; NUMERICAL MODEL; STRUCTURAL GEOLOGY; SYMMETRY; TRANSPRESSION; VELOCITY PROFILE; VORTICITY;

EID: 79956161175     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsg.2011.03.001     Document Type: Review

References (180)

1. Allmendinger R.W., Relinger R., Loveless J.P. Strain and rotation rate from GPS in Tibet, Anatolia, and the Altiplano. Tectonics 2007, 26. 10.1029/2006TC002030.
2. Allmendinger R.W., Loveless J.P., Pritchard M.E., Meade B. From decades to epochs; spanning the gap between geodesy and structural geology of active mountain belts. Journal of Structural Geology 2009, 31:1409-1422.
3. Angelier J., Colletta B., Anderson R.E. Neogene paleostress changes in the basin and range: a case study at Hoover Dam, Nevada-Arizona. Geological Society of America Bulletin 1985, 96:347-361.
4. Anglier J. Fault Slip Analysis and Palaeostress Reconstruction. Continental Deformation 1994, 53-100. Pergamon Press, Oxford. P. Hancock (Ed.).
5. Bailey C.M., Eyster E.L. General shear deformation in the Pinaleno Mountains metamorphic core complex, Arizona. Journal of Structural Geology 2003, 25:1883-1892.
6. Baird G.B., Hudleston P.J. Modeling the influence of tectonic extrusion and volume loss on the geometry, displacement, vorticity, and strain compatibility of ductile shear zones. Journal of Structural Geology 2007, 29:1665-1678.
7. Belinfante J.G., Kolman B. A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods 1972, Society for Industrial and Applied Mathematics, Philadelphia.
8. Bell A. Factorization of finite strains in three dimensions - a computer method. Journal of Structural Geology 1979, 1:163-167.
9. Bergerat F. Stress fields in the European platform at the time of Africa-Eurasia collision. Tectonics 1987, 6:99-132.
10. Bhattacharyya P., Hudleston P. Strain in ductile shear zones in the Caledonides of northern Sweden; a three-dimensional puzzle. Journal of Structural Geology 2001, 23:1549-1565.
11. Bilby B., Eshelby J., Kundu A. The change of shape of a viscous ellipsoidal region embedded in a slowly deforming matrix having a different viscosity. Tectonophysics 1975, 28:265-274.
12. Bingham C. An antipodally symmetric distribution on the sphere. Annals of Statistics 1974, 2:1201-1225.
13. Biot M.A. Theory of folding of stratified viscoelastic media and is implication in tectonics an orogenesis. Geological Society of America Bulletin 1961, 72:1595-1620.
14. Bird P. Stress direction history of the western United States and Mexico since 85 Ma. Tectonics 2002, 21. 10.1029/2001TC001319.
15. Bobyarchick A. The eigenvalues of steady flow in Mohr space. Tectonophysics 1986, 122:35-51.
16. Borradaile G.J. Statistics of Earth Science Data 2003, Springer-Verlag, Berlin.
17. Cheeney R.F. Statistical Methods in Geology 1983, George Allen & Unwin, London.
18. Clegg P., Holdsworth R.E. Complex deformation as a result of strain partitioning in transpression zones; an example from the Leinster Terrane, SE Ireland. Journal of the Geological Society of London 2005, 162:187-202.
19. Cloos E. Oölite deformation in the South Mountain fold, Maryland. Geological Society of America Bulletin 1947, 58:843-917.
20. Cobbold P.R., Cosgrove J.W., Summers J.M. Development of internal structures in deformed anisotropic rocks. Tectonophysics 1971, 12:23-53.
21. Coward M.P. Strain within ductile shear zones. Tectonophysics 1976, 34:181-197.
22. Curtis M.L. Matrix Groups 1984, Springer-Verlag, New York. second ed.
23. Czeck D.M., Hudleston P.J. Testing models for obliquely plunging lineations in transpression; a natural example and theoretical discussion. Journal of Structural Geology 2003, 25:959-982.
24. Czeck D., Hudleston P. Physical experiments of vertical transpression with localized nonvertical extrusion. Journal of Structural Geology 2004, 26:573-581.
25. Czeck D., Fissler D., Horsman E., Tikoff B. Strain analysis and rheology contrasts in polymictic conglomerates: an example from the Seine metaconglomerates, Superior Province, Canada. Journal of Structural Geology 2009, 31:1365-1376.
26. Dewey J. Transtension in arcs and orogens. International Geology Review 2002, 44:402-439.
27. De Paor D.G. A new technique of strain analysis using three-dimensional distributions of passively deformed linear markers. Tectonophysics 1981, 76:T13-T16.
28. De Paor D.G. Orthographic analysis of geological structures I. Deformation theory. Journal of Structural Geology 1983, 5:255-277.
29. De Paor D.G. Orthographic analysis of geological structures II. Practical applications. Journal of Structural Geology 1986, 8:87-100.
30. Dias R., Ribeiro A. Constriction in a transpressive regime: an example in the Iberian branch of the Ibero-Armorican arc. Journal of Structural Geology 1994, 16:1543-1554.
31. Downs T. Orientation statistics. Biometrika 1972, 59:665-676.
32. Dunlap W.J., Hirth G., Teyssier C. Thermomechanical evolution of a ductile duplex. Tectonics 1997, 16:983-1000.
33. Dunnet D. A technique of finite strain analysis using elliptical particles. Tectonophysics 1969, 7:117-136.
34. Elliott D. Determination of finite strain and initial shape from deformed elliptical objects. Geological Society of America Bulletin 1970, 81:2221-2236.
35. Elliott D. Deformation paths in structural geology. Geological Society of America Bulletin 1972, 83:2621-2638.
36. Eshelby J. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London 1957, A241:376-396.
37. Eshelby J. The elastic field outside an ellipsoidal inclusion. Proceedings of the Royal Society of London 1959, A252:561-569.
38. Etheridge M.A., Wall V.J., Vernon R.H. The role of the fluid phase during regional metamorphism and deformation. Journal of Metamorphic Geology 1983, 1:205-226.
39. Evans M., Dunne W. Strain factorization and partitioning in the North Mountain thrust sheet, central Appalachians, U.S.A. Journal of Structural Geology 1991, 13:21-36.
40. Faure M. Microtectonic evidence for eastward ductile shear in the Jurassic orogen of SW Japan. Journal of Structural Geology 1985, 7:175-186.
41. Fefferman C.L. Existence and smoothness of the Navier-Stokes equation. The Millennium Prize Problems 2006, 57-70. American Mathematical Society, Providence, R.I. J. Carlson, A. Jaffe, A. Wiles (Eds.).
42. Fernández C., Díaz-Azpiroz M. Triclinic transpression zones with inclined extrusion. Journal of Structural Geology 2009, 31:1255-1269.
43. Fisher R. Dispersion on a sphere. Proceedings of the Royal Society of London 1953, 217:295-305.
44. Fletcher P.T., Lu C., Pizer S.M., Joshi S.C. Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging 2004, 23:995-1005.
45. Flinn D. The deformation matrix and the deformation ellipsoid. Journal of Structural Geology 1979, 1:299-307.
46. Fossen H. Structural Geology 2010, Cambridge University Press, Cambridge.
47. Fossen H., Tikoff B. The deformation matrix for simultaneous simple shearing, pure shearing and volume change, and its application to transpression-transtension tectonics. Journal of Structural Geology 1993, 15:413-422.
48. Freeman B. The behavior of deformable ellipsoidal particles in three-dimensional slow flows: implications for geological strain analysis. Tectonophysics 1987, 132:297-309.
49. Gay N. Pure shear and simple shear deformation of inhomogeneous viscous fluids. 2. The determination of the total finite strain in a rock from objects such as deformed pebbles. Tectonophysics 1968, 5:295-302.
50. Ghosh S.K. Types of transpressional and transtensional deformation. Geological Society of America Memoir 193, Boulder, CO 2001, 1-20. H.A. Koyi, N.S. Mancktelow (Eds.).
51. Ghosh S.K., Ramberg H. Reorientation of inclusions by combination of pure and simple shear. Tectonophysics 1976, 34:1-70.
52. Gilmore R. Lie Groups, Lie Algebras, and Some of Their Applications 1974, John Wiley & Sons, New York.
53. Giorgis S., Tikoff B. Constraints on kinematics and strain from feldspar porphyroclast populations. Transport and Flow Processes in Shear Zones 2004, vol. 224:265-285. Geological Society, London. I. Alsop, R. Holdsworth, K. McCaffery (Eds.).
54. Giorgis S., Markley M., Tikoff B. Vertical axis rotation of rigid crustal blocks driven by mantle flow. Vertical Coupling and Decoupling in the Lithosphere 2004, vol. 227:83-100. Geological Society, London. J. Grocott, K. McCaffrey, G. Taylor, B. Tikoff (Eds.).
55. Goldstein A., Knight J., Kimball K. Deformed graptolites, finite strain and volume loss during cleavage formation in rocks of the Taconic slate belt, New York and Vermont, U.S.A. Journal of Structural Geology 1999, 20:1769-1782.
56. Goodwin L.B., Tikoff B. Competency contrast, kinematics, and the development of foliations and lineations in the crust. Journal of Structural Geology 2002, 24:1065-1085.
57. Goodwin L.B., Williams P.F. Deformation path partitioning within a transpressive shear zone, Marble Cove, Newfoundland. Journal of Structural Geology 1996, 18:975-990.
58. Grasemann B., Fritz H., Vannay J.C. Quantitative kinematic flow analysis from the Main Central Thrust Zone (NW-Himalaya, India): implications for a decelerating strain path and the extrusion of orogenic wedges. Journal of Structural Geology 1999, 21:837-853.
59. Gudmundsson A. Dyke emplacement at divergent plate boundaries. Mafic Dykes and Emplacement Mechanisms 1990, 47-62. Balkema, Rotterdam. A.J. Parker, P.C. Rickwood, D.H. Tucker (Eds.).
60. Hall B.C. Lie Groups, Lie Algebras, and Representations 2003, Springer-Verlag, New York.
61. Harding T.P. The Newport-Inglewood trend, California-an example of wrenching style of deformation. Bulletin of the American Association of Petroleum Geologists 1973, 57:97-116.
62. Helgason S. Groups and Geometric Analysis 1984, Academic Press, Orlando, Florida.
63. Higham N.J. Functions of Matrices: Theory and Computation 2008, Society for Industrial and Applied Mathematics.
64. Horsman E., Tikoff B. Quantifying simultaneous discrete and distributed deformation. Journal of Structural Geology 2005, 27:1168-1189.
65. Horsman E., Tikoff B. Constraints on deformation path from finite strain gradients. Journal of Structural Geology 2007, 29:256-272.
66. Horsman E., Tikoff B., Czeck D. Rheological implications of heterogeneous deformation at multiple scales in the Late Cretaceous Sierra Nevada, California. Geological Society of America Bulletin 2008, 120:238-255.
67. Hossack J. Pebble deformation and thrusting in the Bygdin area (southern Norway). Tectonophysics 1968, 5:315-339.
68. Hudleston P.J., Schultz-Ela D., Southwick D. Transpression in an Archean greenstone belt, northern Minnesota. Canadian Journal of Earth Sciences 1988, 25:1060-1068.
69. Iacopini D., Passchier C.W., Koehn D., 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 2007, 29:298-317.
70. Iacopini D., Carosi R., Xypolias P. Implications of complex eigenvalues in homogeneous flow: a three-dimensional kinematic analysis. Journal of Structural Geology 2010, 32:93-106.
71. Jeffery G.B. The motion of ellipsoidal particles immersed in a viscous fluid. Proceedings of the Royal Society of London 1922, A102:161-179.
72. m). Journal of Structural Geology 2007, 29:411-421.
73. Jiang D. Vorticity determination, distribution, partitioning and the heterogeneity and non-steadiness of natural deformations. Journal of Structural Geology 1994, 16:121-130.
74. Jiang D. Vorticity decomposition and its application to sectional flow characterization. Tectonophysics 1999, 301:243-259.
75. Jiang D. Numerical modeling of the motion of deformable ellipsoidal objects in slow viscous flows. Journal of Structural Geology 2007, 29:435-452.
76. Jiang D., White J.C. Kinematics of rock flow and the interpretation of geological structures, with particular reference to shear zones. Journal of Structural Geology 1995, 17:1249-1265.
77. Jiang D., Williams P.F. High-strain zones; a unified model. Journal of Structural Geology 1998, 20:1105-1120.
78. Jones R.R., Holdsworth R.E. Oblique simple shear in transpression zones. Continental Transpressional and Transtensional Tectonics 1998, vol. 135:35-40. Geological Society, London. R.E. Holdsworth, R.A. Strachan, J.F. Dewey (Eds.).
79. Jones R.R., Holdsworth R.E., Clegg P., McCaffrey K., Tavarnelli E. Inclined transpression. Journal of Structural Geology 2004, 26:1531-1548.
80. Koehn D., Renard F., Toussaint R., Passchier C. Growth of stylolite teeth patterns depending on normal stress and finite compaction. Earth and Planetary Science Letters 2007, 257:582-595.
81. Kumerics C., Ring U., Brichau S., Glodny J., Monié P. The extensional Messaria shear zone and associated brittle detachment faults, Aegean Sea, Greece. Journal of the Geological Society of London 2005, 162:701-721.
82. Lamb S. A simple method for estimating the horizontal velocity field in wide zones of active deformation - I. Description, with an example from California. Geophysical Journal International 1994, 119:297-312.
83. Lamb S. A simple method for estimating the horizontal velocity field in wide zones of active deformation - II. Examples from New Zealand, Central Asia and Chile. Geophysical Journal International 1994, 119:313-337.
84. Law R.D., Knipe R.J., Dayan H. Strain path partitioning within thrust sheets: microstructural and petrofabric evidence from the Moine Thrust zone at Loch Eriboll, northwest Scotland. Journal of Structural Geology 1984, 6:477-497.
85. Law R.D., Searle M.P., Simpson R.L. Strain, deformation temperatures and vorticity of flow at the top of the greater Himalayan Slab, Everest Massif, Tibet. Journal of the Geological Society of London 2004, 161:305-320.
86. Lin S., Jiang D., Willams P.F. Transpression (or transtension) zones of triclinic symmetry; natural example and theoretical modelling. Continental Transpressional and Transtensional Tectonics 1998, vol. 135:41-57. Geological Society, London. R.E. Holdsworth, R.A. Strachan, J.F. Dewey (Eds.).
87. Lisle R.J. Estimation of the tectonic strain ratio from the mean shape of deformed elliptical markers. Geologie en Mijnbouw 1977, 56:140-144.
88. f/φ Technique 1985, Pergamon Press, Oxford.
89. Lister G., Hobbs B. The simulation of fabric development during plastic deformation and its application to quartzite: the influence of deformation history. Journal of Structural Geology 1980, 2:355-370.
90. Lister G., Williams P. Fabric development in shear zones: theoretical controls and observed phenomena. Journal of Structural Geology 1979, 1:283-297.
91. Lister G., Williams P. The partitioning of deformation in flowing rock masses. Tectonophysics 1983, 92:1-33.
92. Malvern L. Introduction to the Mechanics of a Continuous Medium 1969, Prentice-Hall, Englewood Cliffs, N.J.
93. Mardia K. Statistics of Directional Data 1972, Academic Press, New York.
94. Markley M., Wojtal S. Mesoscopic structure, strain, and volume loss in folded cover strata, Valley and Ridge Province, Maryland. American Journal of Science 1996, 296:23-57.
95. Matthews P.E., Bond R.A.B., Van den Berg J.J. An algebraic method of strain analysis using elliptical markers. Tectonophysics 1974, 24:31-67.
96. McKenzie D. Finite deformation during fluid flow. Geophysical Journal of the Royal Astronomical Society 1979, 58:689-715.
97. McKenzie D., Jackson J. The relationship between strain rates, crustal thickening, palaeomagnetism, finite strain and fault movements within a deforming zone. Earth and Planetary Science Letters 1983, 65:182-202.
98. Means W.D. Stress and Strain 1976, Springer-Verlag, New York.
99. Means W.D. Rotational quantities in homogeneous flow and the development of small-scale structure. Journal of Structural Geology 1994, 16:437-445.
100. Means W.D., Hobbs B.E., Lister G.S., Williams P.F. Vorticity and non-coaxiality in progressive deformations. Journal of Structural Geology 1980, 2:371-378.
101. Meere P.A., Mulchrone K.F., Sears J.F., Bradway M.D. The effect of non-passive clast behaviour in the estimation of finite strain in sedimentary rocks. Journal of Structural Geology 2008, 30:1264-1271.
102. Mookerjee M., Mitra G. Understanding kinematic data from the Moine thrust zone in terms of a kinematics-based mathematical model of deforming thrust wedges. Journal of Structural Geology 2009, 31:1556-1572.
103. Mulchrone K.F. A statistic for estimating strain with confidence intervals from deformed line distributions with an application to schists and gneisses of the Western Gneiss Region, west central Norway. Journal of Structural Geology 2002, 24:545-556.
104. Munson B.R., Young D.F., Okiishi T.H., Huebsch W.W. Fundamentals of Fluid Mechanics 2009, John Wiley & Sons. sixth ed.
105. Munthe-Kaas H. Runge-Kutta methods on Lie groups. BIT 1998, 38:92-111.
106. Murray M.K., Rice J.W. Differential Geometry and Statistics 1993, Chapman & Hall, London.
107. Nemcock M., Lisle R. A stress inversion procedure for polyphase fault/slip data. Journal of Structural Geology 1995, 17:1445-1453.
108. Neves S.P., da Silva J.M.R., Mariano G. Oblique lineations in orthogneisses and supracrustal rocks; vertical partitioning of strain in a hot crust; eastern Borborema Province, NE Brazil. Journal of Structural Geology 2005, 27:1513-1527.
109. Nicolas A. Structures of Ophiolites and Dynamics of Oceanic Lithosphere 1989, Kluwer Academic Publishers, Dordrecht.
110. Nissen H.U. Dynamic and kinematic analysis of deformed crinoid stems in a quartz graywacke. Journal of Geology 1964, 72:346-360.
111. Oertel G. Strain estimation from scattered observations in an inhomogeneously deformed domain of rocks. Tectonophysics 1981, 77:133-150.
112. Oertel G., Reymer A.P.S. Perturbations of strain and rotation in a nodular slate. Journal of Structural Geology 1992, 14:257-269.
113. Panozzo R.H. Two-dimensional strain from the orientation of lines in a plane. Journal of Structural Geology 1984, 6:215-221.
114. Passchier C.W. Efficient use of the velocity gradients tensor in flow modelling. Tectonophysics 1987, 136:159-163.
115. Passchier C.W. Stable positions of rigid objects in non-coaxial flow; a study in vorticity analysis. Journal of Structural Geology 1987, 9:679-690.
116. Passchier C.W. Analysis of deformation paths in shear zones. Geologische Rundschau 1988, 77:309-318.
117. Passchier C.W. The use of Mohr circles to describe non-coaxial progressive deformation. Tectonophysics 1988, 149:323-338.
118. Passchier C.W. A Mohr circle construction to plot the stretch history of material lines. Journal of Structural Geology 1990, 12:513-515.
119. Passchier C.W. The fabric attractor. Journal of Structural Geology 1997, 19:113-127.
120. Passchier C.W. Monoclinic model shear zones. Journal of Structural Geology 1998, 20:1121-1137.
121. Passchier C.W., Urai J.L. Vorticity and strain analysis using Mohr diagrams. Journal of Structural Geology 1988, 10:755-763.
122. Pavlis T. The role of strain heating in the evolution of megathrusts. Journal of Geophysical Research 1986, 91:6522-6534.
123. Petit J.P., Mattauer M. Paleostress superimposition deduced from structures in limestone: the Matelles exposure, Languedoc, France. Journal of Structural Geology 1995, 17:245-256.
124. Platt J.P. Secondary cleavages in ductile shear zones. Journal of Structural Geology 1984, 6:439-442.
125. Platt J., Behrmann J. Structures and fabrics in a crustal scale shear zone, Betic Cordilleras, S.E. Spain. Journal of Structural Geology 1986, 8:15-34.
126. Platt J., Vissers R. Extensional structures in anisotropic rocks. Journal of Structural Geology 1980, 2:397-410.
127. Pollard D.D., Fletcher R.C. Fundamentals of Structural Geology 2005, Cambridge Univ. Press, Cambridge.
128. Pollard D., Segall P., Delaney P. Formation and interpretation of dilatant echelon cracks. Geological Society of America Bulletin 1982, 93:1291-1303.
129. Pollatsek H. Lie Groups: A Problem-Oriented Introduction via Matrix Groups 2009, Mathematical Association of America.
130. Provost A., Buisson C., Merle O. From progressive to finite deformation and back. Journal of Geophysical Research 2004, 109. 10.1029/2001JB001734.
131. Ramberg H. Particle paths, displacement and progressive strain applicable to rocks. Tectonophysics 1975, 28:1-37.
132. Ramsay J.G. Folding and Fracturing of Rocks 1967, McGraw-Hill, New York.
133. Ramsay J.G., Graham R.H. Strain variation in shear belts. Canadian Journal of Earth Sciences 1970, 7:786-813.
134. Ramsay J.G., Huber M.I. The Techniques of Modern Structural Geology 1983, Academic Press, London.
135. Ring U. Volume strain, strain type and flow path in a narrow shear zone. Geologische Rundschau 1998, 86:786-801.
136. Robin P.Y., Cruden A.R. Strain and vorticity patterns in ideally ductile transpression zones. Journal of Structural Geology 1994, 16:447-466.
137. Sanderson D.J. The analysis of finite strain using lines with an initial random orientation. Tectonophysics 1977, 43:199-211.
138. Sanderson D.J., Marchini W.R.D. Transpression. Journal of Structural Geology 1984, 6:449-458.
139. Sarkarinejad K., Azizi A. Slip partitioning and inclined dextral transpression along the Zagros thrust system, Iran. Journal of Structural Geology 2008, 30:116-136.
140. Short H.A., Johnson S.E. Estimation of vorticity from fibrous calcite veins, central Maine, USA. Journal of Structural Geology 2006, 28:1167-1182.
141. Siddans A.W.B. Analysis of three-dimensional, homogeneous, finite strain using ellipsoidal objects. Tectonophysics 1980, 64:1-16.
142. Siddans A.W.B. Elliptical markers and non-coaxial strain increments. Tectonophysics 1980, 67:T21-T25.
143. Simpson C., De Paor D.G. Strain and kinematic analysis in general shear zones. Journal of Structural Geology 1993, 15:1-20.
144. Simpson C., De Paor D.G. Practical analysis of general shear zones using porphyroclast hyperbolic distribution method: an example from the Scandianvian Caledonides. Evolution of Geological Structures in Micro- to Macro-scales 1997, 169-184. Chapman and Hall, London. S. Sengupta (Ed.).
145. Soto J.I. A general deformation matrix for three-dimensions. Mathematical Geology 1997, 29:93-130.
146. Srivastava H.B., Hudleston P.J., Earley D., Drummond I. Strain and possible volume loss in a high-grade ductile shear zone. Journal of Structural Geology 1995, 17:1217-1231.
147. Srivastava D.C., Shah J. Digital method for strain estimation and retrodeformation of bilaterally symmetric fossils. Geology 2006, 34:593-596.
148. Sullivan W.A., Law R.D. Deformation path partitioning within the transpressional White Mountain shear zone, California and Nevada. Journal of Structural Geology 2007, 29:583-598.
149. Sylvester A.G., Smith R.R. Tectonic transpression and basement-controlled deformation in San Andreas fault zone, Salton trough, California. Bulletin of the American Association of Petroleum Geologists 1976, 60:2081-2102.
150. Talbot C.J. The minimum strain ellipsoid using deformed quartz veins. Tectonophysics 1970, 9:47-67.
151. Tan B.K. Determination of strain ellipses from deformed ammonoids. Tectonophysics 1973, 16:89-101.
152. Tauxe L. Essentials of Paleomagnetism 2010, University of California Press.
153. Tavarnelli E., Holdsworth R.E., Clegg P., Jones R.R., McCaffrey K.J.W. The anatomy and evolution of a transpressional imbricate zone, Southern Uplands, Scotland. Journal of Structural Geology 2004, 26:1341-1360.
154. Teyssier C., Tikoff B. Fabric stability in oblique convergence and divergence. Journal of Structural Geology 1999, 21:969-974.
155. Tikoff B., Fossen H. Simultaneous pure and simple shear; the unifying deformation matrix. Tectonophysics 1993, 217:267-283.
156. Tikoff B., Fossen H. The limitations of three-dimensional kinematic vorticity analysis. Journal of Structural Geology 1995, 17:1771-1784.
157. Tikoff B., Teyssier C. Strain modeling of displacement-field partitioning in transpressional orogens. Journal of Structural Geology 1994, 16:1575-1588.
158. Titus S.J., Housen B., Tikoff B. A kinematic model for the Rinconada fault system in central California based on structural analysis of en echelon folds and paleomagnetism. Journal of Structural Geology 2007, 29:961-982.
159. Titus S.J., Dyson M., DeMets C., Tikoff B., Rolandone F., Bürgmann R. Geologic versus geodetic deformation adjacent to the San Andreas fault, central California. Geological Society of America Bulletin 2011, 10.1130/B30150.1.
160. Truesdell C.A. Two measures of vorticity. Journal of Rational Mechanics Analysis 1953, 2:173-217.
161. Twiss R., Moores E. Structural Geology 2007, W. H. Freeman and Co., New York.
162. Twiss R., Unruh J. Analysis of fault slip inversions: do they constrain stress or strain rate?. Journal of Geophysical Research 1998, 103:12205-12222.
163. Vissers R. Asymmetric quartz c-axis fabrics and flow vorticity: a study using rotated garnets. Journal of Structural Geology 1989, 11:231-244.
164. Vitale S., Mazzoli S. Finite strain analysis of a natural ductile shear zone in limestones; insights into 3-D coaxial vs. non-coaxial deformation partitioning. Journal of Structural Geology 2009, 31:104-113.
165. Wallis S.R. Vorticity analysis in a metachert from the Sanbagawa Belt, SW Japan. Journal of Structural Geology 1992, 14:271-280.
166. Wallis S.R. Vorticity analysis and recognition of ductile extension in the Sanbagawa belt, SW Japan. Journal of Structural Geology 1995, 17:1077-1093.
167. Wang T., Pei X., Wang X., Hu N., Li W., Zhang G. Orogen-parallel westward oblique uplift of the Qinling basement complex in the core of the Qinling Orogen (China); an example of oblique extrusion of deep-seated metamorphic rocks in a collisional orogen. Journal of Geology 2005, 113:181-200.
168. Weijermars R. Progressive deformation in anisotropic rocks. Journal of Structural Geology 1992, 14:723-742.
169. Weil A.B., Yonkee A., Sussman A. Reconstructing the kinematic evolution of curved mountain belts: a paleomagnetic study of Triassic red beds from the Wyoming salient, Sevier thrust belt, U.S.A. Geological Society of America Bulletin 2010, 122:3-23.
170. Whitney D.L., Teyssier C., Heizler M.T. Gneiss domes, metamorphic core complexes, and wrench zones: Thermal and structural evolution of the Niĝde Massif, central Anatolia. Tectonics 2007, 26:1315-1343.
171. Wijsman R.A. Invariant Measures on Groups and Their Use in Statistics 1990, Institute of Mathematical Statistics, Hayward, California.
172. Wilcox R.E., Harding T.P., Seely D.R. Basic wrench tectonics. Bulletin of the American Association of Petroleum Geologists 1973, 57:74-96.
173. Wright T.O., Platt L.B. Pressure dissolution and cleavage in the Martinsburg Shale. American Journal of Science 1982, 282:122-135.
174. Xypolias P. Vorticity analysis in shear zones: a review of methods and applications. Journal of Structural Geology 2010, 32:2072-2092.
175. Xypolias P., Koukouvelas I.K. Kinematic vorticity and strain rate patterns associated with ductile extrusion in the Chelmos shear zone (external Hellenides, Greece). Tectonophysics 2001, 338:59-77.
176. Yonkee A. Strain patterns within part of the Willard thrust sheet, Idaho-Utah-Wyoming thrust belt. Journal of Structural Geology 2005, 27:1315-1343.
177. Zhang G., Hynes A. Determination of position-gradient tensor from strain measurements and its implications for the displacement across a shear zone. Journal of Structural Geology 1995, 17:1587-1599.
178. Zoback M. First- and second-order patterns of stress in the lithosphere: the World Stress Map Project. Journal of Geophysical Research 1992, 97:11,703-11,728.
179. Zoback M., Zoback M. State of stress in the conterminous U.S. Journal of Geophysical Research 1980, 85:6113-6156.
180. Zoback M., Moss D., Mastin L., Anderson R. Wellbore breakouts and in situ stress. Journal of Geophysical Research 1985, 90:5523-5530.