R. Agrusta, S. Goes, and J. Van-hunen, Subducting-slab transition-zone interaction: Stagnation, penetration and mode switches, Earth and Planetary Science Letters, vol.464, pp.10-23, 2017.

D. Arcay, S. Lallemand, and M. Doin, Back-arc strain in subduction zones: Statistical observations versus numerical modeling, Geochemistry, Geophysics, Geosystems, vol.9, issue.5, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00412328

N. Bellahsen, C. Faccenna, and F. Funiciello, Dynamics of subduction and plate motion in laboratory experiments: insights into the plate tectonics behavior of the earth, Journal of Geophysical Research: Solid Earth, issue.B1, p.110, 1978.
URL : https://hal.archives-ouvertes.fr/hal-00144689

M. I. Billen and G. Hirth, Rheologic controls on slab dynamics, Geochemistry, Geophysics, Geosystems, vol.8, issue.8, 2007.

M. Bonnardot, R. Hassani, and E. Tric, Numerical modelling of lithosphereasthenosphere interaction in a subduction zone, Earth and Planetary Science Letters, vol.272, issue.34, pp.698-708, 2008.
URL : https://hal.archives-ouvertes.fr/insu-00367459

N. P. Butterworth, L. Quevedo, G. Morra, and R. D. Müller, Influence of overriding plate geometry and rheology on subduction. Geochemistry, Geophysics, Geosystems, vol.13, p.2012

F. A. Capitanio, D. Stegman, L. Moresi, and W. Sharples, Upper plate controls on deep subduction, trench migrations and deformations at convergent margins, Tectonophysics, vol.483, issue.1, pp.80-92, 2010.

F. A. Capitanio, C. Faccenna, S. Zlotnik, and D. R. Stegman, Subduction dynamics and the origin of andean orogeny and the bolivian orocline, Nature, vol.480, issue.7375, p.83, 2011.

F. A. Capitanio, G. Morra, and S. Goes, Dynamic models of downgoing plate-buoyancy driven subduction: Subduction motions and energy dissipation, Earth and Planetary Science Letters, vol.262, issue.1, pp.284-297, 2007.

N. G. Cerpa, R. Hassani, M. Gerbault, and J. Prévost, A fictitious domain method for namic subduction models, Geophysical Journal International, vol.201, issue.1, pp.172-192, 2015.

A. Holt, L. Royden, and T. Becker, The dynamics of double slab subduction, Geophysical Journal International, vol.209, issue.1, pp.250-265, 2017.

L. Husson, C. Conrad, and C. Faccenna, Plate motions, andean orogeny, and volcanism above the south atlantic convection cell, Earth and Planetary Science Letters, vol.317, pp.126-135, 2012.
URL : https://hal.archives-ouvertes.fr/insu-00665613

R. D. Jarrard, Relations among subduction parameters, Reviews of Geophysics, vol.24, issue.2, pp.217-284, 1986.

L. Jolivet, C. Faccenna, N. Dagostino, M. Fournier, D. Worrall-;-´-a et al., The kinematics of back-arc basins, examples from the tyrrhenian, aegean and japan seas, Geological Society, vol.164, issue.1, pp.715-718, 1999.

S. Lallemand, A. Heuret, and D. Boutelier, On the relationships between slab dip, back-arc stress, upper plate absolute motion, and crustal nature in subduction zones, Geochemistry, Geophysics, Geosystems, vol.6, issue.9, 2005.
URL : https://hal.archives-ouvertes.fr/hal-01261567

S. Lamb and P. Davis, Cenozoic climate change as a possible cause for the rise of the andes, Nature, vol.425, issue.6960, pp.792-797, 2003.

H. Lau, J. Mitrovica, J. Austermann, O. Crawford, D. Al-attar et al., Inferences of mantle viscosity based on ice age data sets: Radial structure, Journal of Geophysical Research: Solid Earth, vol.121, issue.10, pp.6991-7012, 2016.

C. Loiselet, L. Husson, and J. Braun, From longitudinal slab curvature to slab rheology, Geology, vol.37, issue.8, pp.747-750, 2009.
URL : https://hal.archives-ouvertes.fr/insu-00424882

J. Martinod, L. Husson, P. Roperch, B. Guillaume, and N. Espurt, Horizontal subduction zones, convergence velocity and the building of the andes, Earth and Planetary Science Letters, vol.299, issue.3, pp.299-309, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00536991

J. Mitrovica and A. Forte, A new inference of mantle viscosity based upon joint inversion of convection and glacial isostatic adjustment data, Earth and Planetary Science Letters, vol.225, issue.1, pp.177-189, 2004.

P. Molnar, P. England, and J. Martinod, Mantle dynamics, uplift of the tibetan plateau, and the indian monsoon, Reviews of Geophysics, vol.31, issue.4, pp.357-396, 1993.

G. Morra and K. Regenauer-lieb, A coupled solid-fluid method for modelling subduction. Philosophical magazine, vol.86, pp.3307-3323, 2006.

R. D. Müller, M. Seton, S. Zahirovic, S. E. Williams, K. J. Matthews et al., , 2018.

, Overriding plate kinematics, slab dip and tectonics 33

K. T. Shephard, N. Maloney, M. Barnett-moore, and . Hosseinpour, Ocean basin evolution and global-scale plate reorganization events since pangea breakup, Annual Review of Earth and Planetary Sciences, vol.44, pp.107-138, 2016.

D. Olbertz, M. J. Wortel, and U. Hansen, Trench migration and subduction zone geometry

, Geophysical Research Letters, vol.24, issue.3, pp.221-224, 1997.

F. Pardo-casas and P. Molnar, Relative motion of the nazca (farallon) and south american plates since late cretaceous time, Tectonics, vol.6, issue.3, pp.233-248, 1987.

A. Paulson, S. Zhong, and J. Wahr, Inference of mantle viscosity from grace and relative sea level data, Geophysical Journal International, vol.171, issue.2, pp.497-508, 2007.

V. A. Ramos, Anatomy and global context of the andes: Main geologic features and the andean orogenic cycle, vol.204, pp.31-65, 2009.

M. Ribe, Bending mechanics and mode selection in free subduction: a thin-sheet analysis

, Geophysical Journal International, vol.180, issue.2, pp.559-576, 2010.

J. Rodríguez-gonzález, A. Negredo, and M. Billen, The role of the overriding plate thermal state on slab dip variability and on the occurrence of flat subduction, Geochemistry, Geophysics, Geosystems, vol.13, issue.1, p.2012

W. Schellart, J. Freeman, D. Stegman, L. Moresi, and D. May, Evolution and diversity of subduction zones controlled by slab width, Nature, vol.446, issue.7133, pp.308-311, 2007.

W. P. Schellart, Kinematics and flow patterns in deep mantle and upper mantle subduction models: Influence of the mantle depth and slab to mantle viscosity ratio, Geochemistry, Geophysics, Geosystems, vol.9, issue.3, 2008.

W. P. Schellart, Overriding plate shortening and extension above subduction zones: A parametric study to explain formation of the andes mountains, Geological Society of America Bulletin, vol.120, pp.1441-1454, 2008.

W. P. Schellart, Subduction zone trench migration: Slab driven or overriding-plate-driven?, Physics of the Earth and Planetary Interiors, vol.170, issue.1-2, pp.73-88, 2008.

W. P. Schellart, Kinematics of subduction and subduction-induced flow in the upper mantle, Journal of Geophysical Research: Solid Earth, vol.109, issue.B7, 1978.

P. Silver, R. Russo, and C. Lithgow-bertelloni, Coupling of south american and african plate motion and plate deformation, Science, vol.279, issue.5347, pp.60-63, 1998.

S. V. Sobolev and A. Y. Babeyko, What drives orogeny in the andes?, Geology, vol.33, issue.8, pp.617-620, 2005.

D. Stegman, R. Farrington, F. A. Capitanio, and W. P. Schellart, A regime diagram for subduction styles from 3-d numerical models of free subduction, Tectonophysics, vol.483, issue.1, pp.29-45, 2010.

T. H. Torsvik, R. D. Müller, R. Van-der-voo, B. Steinberger, and C. Gaina, Global plate motion frames: toward a unified model, Reviews of geophysics, vol.46, issue.3, 2008.

D. L. Turcotte, G. Schubert, and . Geodynamics, , 2002.

Y. Van-dinther, G. Morra, F. Funiciello, and C. Faccenna, Role of the overriding plate in the subduction process: Insights from numerical models, Tectonophysics, vol.484, issue.1, pp.74-86, 2010.

B. Wu, C. Conrad, A. Heuret, C. Lithgow-bertelloni, and S. Lallemand, Reconciling strong slab pull and weak plate bending: The plate motion constraint on the strength of mantle slabs, Earth and Planetary Science Letters, vol.272, issue.1, pp.412-421, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00412383

P. Yamato, L. Husson, J. Braun, C. Loiselet, and C. Thieulot, Influence of surrounding plates on 3d subduction dynamics, Geophysical Research Letters, vol.36, issue.7, 2009.
URL : https://hal.archives-ouvertes.fr/insu-00381763

S. Zahirovic, R. D. Müller, M. Seton, and N. Flament, Tectonic speed limits from plate kinematic reconstructions, Earth and Planetary Science Letters, vol.418, pp.40-52, 2015.