Theoretical analysis of large amplitude folding of a single viscous layer

Journal of Structural Geology

Volumn 48, Issue , 2013, Pages 137-152

  Adamuszek, Marta ^a   Schmid, Daniel W ^a   Dabrowski, Marcin ^a  

^a UNIVERSITY OF OSLO   (Norway)

Author keywords

Buckling; Folds; Large amplitude; Single layer; Theoretical analysis; Viscous material

Indexed keywords

FOLDS; LARGE AMPLITUDE; SINGLE LAYER; THEORETICAL ANALYSIS; VISCOUS MATERIALS;

BUCKLING; GEOLOGY; STRUCTURAL GEOLOGY;

GROWTH RATE;

AMPLITUDE; BUCKLING; FOLDING; NUMERICAL MODEL; THEORETICAL STUDY; VISCOSITY;

EID: 84873716561     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsg.2012.11.006     Document Type: Article

References (33)

1. Abbassi M.R., Mancktelow N.S. Single layer buckle folding in nonlinear materials .1. Experimental-study of fold development from an isolated initial perturbation. Journal of Structural Geology 1992, 14:85-104.
2. Adamuszek M., Schmid D., Dabrowski M. Fold geometry toolbox - automated determination of fold shape, shortening, and material properties. Journal of Structural Geology 2010, 33:1406-1416.
3. Biot M.A. Folding instability of a layered viscoelastic medium under compression. Proceedings of the Royal Society of London Series A-Mathematical and Physical Sciences 1957, 242:444-454.
4. Biot M.A. Theory of folding of stratified viscoelastic media and its implications in tectonics and orogenesis. Geological Society of America Bulletin 1961, 72:1595-1620.
5. Chapple W.M. A mathematical theory of finite-amplitude rock-folding. Geological Society of America Bulletin 1968, 79:47.
6. Cobbold P.R. Fold propagation in single embedded layers. Tectonophysics 1975, 27:333-351.
7. Dabrowski M., Krotkiewski M., Schmid D.W. MILAMIN: MATLAB-based finite element method solver for large problems. Geochemistry Geophysics Geosystems 2008, 9.
8. Dieterich J.H., Carter N.L. Stress-history of folding. American Journal of Science 1969, 267:129-154.
9. Fletcher R.C. Wavelength selection in folding of a single layer with power-law rheology. American Journal of Science 1974, 274:1029-1043.
10. Fletcher R.C. Folding of a single viscous layer: exact infinitesimal-amplitude solution. Tectonophysics 1977, 39:593-606.
11. Fletcher R.C. Shape of single-layer folds at small but finite-amplitude. Tectonophysics 1979, 60:77-87.
12. Fletcher R.C. 3-Dimensional folding of an embedded viscous layer in pure shear. Journal of Structural Geology 1991, 13:87-96.
13. Fletcher R.C., Sherwin J.A. Arc lengths of single layer folds - discussion of comparison between theory and observation. American Journal of Science 1978, 278:1085-1098.
14. Hobbs B., Regenauer-Lieb K., Ord A. Folding with thermal-mechanical feedback. Journal of Structural Geology 2008, 30:1572-1592.
15. Hobbs B.E., Ord A. Localized and chaotic folding: the role of axial plane structures. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences 2012, 370:1966-2009.
16. Hudleston P.J. Analysis and interpretation of minor folds developed in moine rocks of Monar, Scotland. Tectonophysics 1973, 17:89-132.
17. Hudleston P.J. Analysis of single-layer folds developed experimentally in viscous media. Tectonophysics 1973, 16:189-214.
18. Hudleston P.J., Treagus S.H. Information from folds: a review. Journal of Structural Geology 2010, 32:2042-2071.
19. Johnson A.M., Fletcher R.C. Folding of Viscous Flow 1994, Columbia University Press, New York.
20. Johnson A.M., Pfaff V.J. Parallel, similar and constrained folds. Engineering Geology 1989, 27:115-180.
21. Kaus B.J.P., Schmalholz S.M. 3D finite amplitude folding: implications for stress evolution during crustal and lithospheric deformation. Geophysical Research Letters 2006, 33.
22. Kocher T., Mancktelow N.S., Schmalholz S.M. Numerical modelling of the effect of matrix anisotropy orientation on single layer fold development. Journal of Structural Geology 2008, 30:1013-1023.
23. Mancktelow N.S. Single-layer folds developed from initial random perturbations: the effects of probability distribution, fractal dimension, phase, and amplitude. Geological Society of America Bulletin 2001, 193:69-87.
24. Parrish D.K. A nonlinear finite element fold model. American Journal of Science 1973, 273:318-334.
25. Ramberg H. Contact strain and fold instability of a multilayered body under compression. Geol Rundsch 1961, 51:405-439.
26. Schmalholz S.M. Finite amplitude folding of single layers: elastica, bifurcation and structural softening. Philosophical Magazine 2006, 86:3393-3407.
27. Schmalholz S.M. Scaled amplification equation: a key to the folding history of buckled viscous single-layers. Tectonophysics 2006, 419:41-53.
28. Schmalholz S.M., Podladchikov Y.Y. Finite amplitude folding: transition from exponential to layer length controlled growth. Earth and Planetary Science Letters 2000, 179:363-377.
29. Schmalholz S.M., Podladchikov Y.Y. Strain and competence contrast estimation from fold shape. Tectonophysics 2001, 340:195-213.
30. Schmalholz S.M., Schmid D.W. Folding in power-law viscous multilayers. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences 2012, 370:1798-1826.
31. Schmid D.W., Schmalholz S.M., Mancktelow N.S., Fletcher R.C. Comment on 'Folding with thermal-mechanical feedback'. Journal of Structural Geology 2010, 32:127-130.
32. Sherwin J.A., Chapple W.M. Wavelengths of single layer folds - a comparison between theory and observation. American Journal of Science 1968, 266:167.
33. Treagus S.H., Hudleston P.J. Folding with thermal-mechanical feedback: discussion. Journal of Structural Geology 2009, 31:749-751.