B. J. Carter, P. A. Wawrzynek, and A. R. Ingraffea, Automated 3-d crack growth simulation, International Journal for Numerical Methods in Engineering, vol.47, pp.229-253, 2000.

F. Chen, C. Wang, B. Xie, and H. Qin, Flexible and rapid animation of brittle fracture using the smoothed particle hydrodynamics formulation, Journal of Visualization and Computer Animation, vol.24, pp.215-224, 2013.

E. Darles, S. Kalantari, X. Skapin, B. Crespin, and A. Luciani, Hybrid Physical -Topological Modeling of Physical Shapes Transformations, DMDCM 2011 -Workshop on Digital Media and Digital Content Managemen, pp.154-157, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00683676

E. Fléchon, F. Zara, G. Damiand, and F. Jaillet, A generic topological framework for physical simulation, 21 st International Conference on Computer Graphics, Visualization and Computer Vision, pp.1-3, 2013.

D. Frerichs, . Vidler, and C. Gatzidis, A survey on object deformation and decomposition in computer graphics, Computers & Graphics, vol.52, pp.18-32, 2015.

T. Jund, A. Allaoui, E. Darles, X. Skapin, P. Meseure et al., Mapping Volumetric Meshes to Point-Based Motion Models, VRIPHYS 2012 -9th Workshop on Virtual Reality Interactions and Physical Simulations, pp.11-20, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00769764

S. Kalantari, A. Luciani, and N. Castagné, A New Way to Model Physics-Based Topology Transformations: Splitting Mat, 12th International Symposium on Smart Graphics, pp.133-145, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01092801

P. Lienhart, N-Dimensional Generalized Combinatorial Maps and Cellula Quasi-Manifolds, International Journal of Computational Geometry Applications, vol.04, pp.275-324, 1994.

A. Luciani and A. Godard, Simulation of Physical Object Construction Featuring Irreversible State Changes, Proceedings of WSCG, pp.321-330, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00487321

A. Luciani, A. Allaoui, N. Castagné, E. Darles, X. Skapin et al., MORPHO-Map: A new way to model animation of topological transformations, Computer Graphics Theory and Applications (GRAPP), pp.1-13, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00935423

P. L. Manteaux, W. L. Sun, F. Faure, M. P. Cani, and J. F. O'brien, Interactive Detailed Cutting of Thin Sheets, Proceedings of ACM SIGGRAPH Motion in Games, pp.1-8, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01206780

P. Meseure, E. Darles, and X. Skapin, Topologybased Physical Simulation, Virtual Reality Interaction and Physical Simulation, pp.1-10, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00563396

L. Muguercia, C. Bosch, and G. Patow, Fracture modeling in computer graphics, Computers & Graphics, vol.45, pp.86-100, 2014.

C. Paulus, L. Untereiner, H. Courtecuisse, S. Cotin, and D. Cazier, Virtual Cutting of Deformable Objects based on Efficient Topological Operations, Visual Computer, vol.31, pp.831-841, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01208546

M. Pauly, R. Keiser, B. Adams, P. Durth, M. Gross et al., Meshless Animation of Fracturing Solids, ACM Trans. Graph, vol.24, issue.3, pp.957-964, 2005.

D. Steinemann, M. A. Otaduy, and M. Gross, Splitting Meshless Deforming Objects with Explicit Surface Tracking, Graph. Models, vol.71, issue.6, pp.209-220, 2009.

X. Zhuang, C. E. Augarde, and K. M. Mathisen, Fracture modeling using meshless methods and level sets in 3D: Framework and modeling, International Journal for Numerical Methods in Engineering, vol.92, issue.11, pp.969-998, 2012.