G. Ameta, J. Davidson, and J. Shah, Using Tolerance-Maps to Generate Frequency Distributions of Clearance and Allocate Tolerances for Pin-Hole Assemblies, Journal of Computing and Information Science in Engineering, vol.7, issue.4, pp.347-359, 2007.
DOI : 10.1115/1.2795308

G. Ameta, S. Samper, and M. Giordano, Comparison of Spatial Math Models for Tolerance Analysis: Tolerance-Maps, Deviation Domain, and TTRS, Journal of Computing and Information Science in Engineering, vol.11, issue.2, pp.1-8, 2011.
DOI : 10.1115/1.3593413
URL : https://hal.archives-ouvertes.fr/hal-00801640

B. Anselmetti, CLIC: A Method for Geometric Specification of Products In: Geometric tolerancing of products, pp.210-239, 2010.

A. Tobon, S. Teissandier, D. Delos, and V. , Tolerance analysis with polytopes in HV-description, IDETC201659027, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01373761

P. Beaucaire, N. Gayton, E. Duc, and J. Dantan, Statistical tolerance analysis of over-constrained mechanisms with gaps using system reliability methods, Computer-Aided Design, vol.45, issue.12, pp.1547-1555, 2013.
DOI : 10.1016/j.cad.2013.06.011

P. Bourdet, L. Mathieu, C. Lartigue, and A. Ballu, The concept of the small displacement torsor in metrology Advanced mathematical tools in metrology II, Series on Advances in Mathematics for Applied Sciences, pp.110-122, 1996.

P. Breteau, F. Thiebaut, C. Lartigue, B. Fricro, H. Falgarone et al., Assembly Simulation of Flexible Parts through the fitting of Linkage Devices, 10th CIRP conference on Computer Aided Tolerancing, 2007.

N. Chevassus, H. Falgarone, F. Thiebaut, P. Bourdet, and G. Moufle, A New Approach for Best Fit Assembly Based on the Behaviour of Components, 2006.

G. Cid, F. Thiebaut, P. Bourdet, and H. Falgarone, Geometrical Study of Assembly Behaviour, Taking into Accounts Rigid Components??? Deviations, Actual Geometric Variations and Deformations, Models for Computer Aided Tolerancing in Design and Manufacturing, pp.301-310, 2007.
DOI : 10.1007/1-4020-5438-6_30

A. Clément and P. Bourdet, A study of optimal-criteria identification based on the small-displacement screw model, Annals of the CIRP, vol.37, issue.1, 1988.

J. Dantan and A. Qureshi, Worst-case and statistical tolerance analysis based on quantified constraint satisfaction problems and Monte Carlo simulation, Computer-Aided Design, vol.41, issue.1, pp.1-12, 2009.
DOI : 10.1016/j.cad.2008.11.003

J. Davidson, A. Mujezinovic, and J. Shah, A New Mathematical Model for Geometric Tolerances as Applied to Round Faces, Journal of Mechanical Design, vol.124, issue.4, pp.609-622, 2002.
DOI : 10.1115/1.1497362

A. Fleming, Geometric relationships between toleranced features, Artificial Intelligence, vol.37, issue.1-3, pp.403-412, 1988.
DOI : 10.1016/0004-3702(88)90062-8

M. Giordano, D. Duret, S. Tichadou, and R. Arrieux, Clearance Space in Volumic Dimensioning, CIRP Annals - Manufacturing Technology, vol.41, issue.1, pp.565-568, 1992.
DOI : 10.1016/S0007-8506(07)61269-4

D. Gouyou, D. Teissandier, and V. Delos, Tolerance Analysis by Polytopes: Application to Assembly Interferences Diagnosis, 14th CIRP CAT 2016 - CIRP Conference on Computer Aided Tolerancing, pp.52-57, 2016.
DOI : 10.1016/j.procir.2016.02.019
URL : http://doi.org/10.1016/j.procir.2016.02.019

D. Hibbitt, B. Karlsson, and P. Sorensen, ABAQUS 6.11: a computer software for finite element analysis, 2011.

J. Hu and J. Camelio, Modeling and Control of Compliant Assembly Systems, CIRP Annals - Manufacturing Technology, vol.55, issue.1, pp.19-22, 2006.
DOI : 10.1016/S0007-8506(07)60357-6
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.408.4463

L. Jaishankar, J. Davidson, and J. Shah, Representing Stresses That Arise in Parallel Assemblies That Contain Imperfect Geometry Allowed by Tolerances, Volume 3: 38th Design Automation Conference, Parts A and B, pp.577-584, 2012.
DOI : 10.1115/DETC2012-70208

L. Jaishankar, J. Davidson, and J. Shah, Tolerance Analysis of Parallel Assemblies Using Tolerance-Maps and a Functional Map Derived From Induced Deformations. ASME, DOI 10, pp.2013-12394, 1115.

Y. Ledoux and D. Teissandier, Tolerance analysis of a product coupling geometric and architectural specifications in a probabilistic approach, Research in Engineering Design, vol.123, issue.4, pp.297-311, 2013.
DOI : 10.1007/s00163-012-0146-9

M. Mansuy, M. Giordano, and J. Davidson, Comparison of Two Similar Mathematical Models for Tolerance Analysis: T-Map and Deviation Domain, Journal of Mechanical Design, vol.135, issue.10, 2013.
DOI : 10.1115/1.4024980

M. Mansuy, M. Giordano, and P. Hernandez, A Generic Method for the Worst Case and Statistical Tridimensional Tolerancing Analysis, Procedia CIRP, vol.10, pp.276-282, 2013.
DOI : 10.1016/j.procir.2013.08.042

M. Mounaud, F. Thiebaut, P. Bourdet, H. Falgarone, and N. Chevassus, Integrating the flexibility of components in the assembly of aeronautics hydraulic systems, 10th CIRP conference on Computer Aided Tolerancing, 2007.

S. Nigam and J. Turner, Review of statistical approaches to tolerance analysis, Computer-Aided Design, vol.27, issue.1, pp.6-15, 1995.
DOI : 10.1016/0010-4485(95)90748-5

E. Pezzuti, G. Piscopo, A. Ubertini, and P. Valentini, Investigation on pin-hole connection in flexible assembly, 2005.

L. Pierre, D. Teissandier, and J. Nadeau, Variational tolerancing analysis taking thermomechanical strains into account: Application to a high pressure turbine, Mechanism and Machine Theory, vol.74, pp.82-101, 2014.
DOI : 10.1016/j.mechmachtheory.2013.11.014
URL : https://hal.archives-ouvertes.fr/hal-01019651

T. Pottier, F. Toussaint, and P. Vacher, Contribution of heterogeneous strain field measurements and boundary conditions modelling in inverse identification of material parameters, European Journal of Mechanics - A/Solids, vol.30, issue.3, pp.373-382, 2011.
DOI : 10.1016/j.euromechsol.2010.10.001
URL : https://hal.archives-ouvertes.fr/hal-00596629

S. Samper and M. Giordano, Simultaneous analysis method for tolerancing flexible mechanisms. Book Geometric Product Specification and Verification: Integration of Functionality pp, pp.127-134, 2003.
DOI : 10.1007/978-94-017-1691-8_13

S. Schonherr, Quadratic Programming in Geometric Optimization: Theory, Implementation and Applications, 2002.

J. Shah, G. Ameta, Z. Shen, and J. Davidson, Navigating the Tolerance Analysis Maze, Computer-Aided Design and Applications, vol.6, issue.1, pp.705-718, 2007.
DOI : 10.1080/16864360.2007.10738504

B. Shiu, D. Apley, D. Ceglarek, and J. Shi, Tolerance allocation for compliant beam structure assemblies, IIE Transactions, vol.35, issue.4, pp.329-342, 2003.
DOI : 10.1080/07408170304376

R. Soderberg, L. Lindkvist, and S. Dahlstrm, Computer-aided robustness analysis for compliant assemblies, Journal of Engineering Design, vol.94, issue.5, pp.411-428, 2006.
DOI : 10.1080/095448299261371

D. Teissandier, V. Delos, and Y. Coutard, Operations on polytopes: application to tolerance analysis, Global Consistency of Tolerances, pp.425-433, 1999.
DOI : 10.1007/978-94-017-1705-2_43
URL : https://hal.archives-ouvertes.fr/hal-00604749

J. Turner, A Feasibility Space Approach for Automated Tolerancing, Journal of Manufacturing Science and Engineering, vol.115, issue.3, pp.341-346, 1993.
DOI : 10.1115/1.2901670

J. Tyson, T. Schmidt, and K. Galanulis, BIOMECHANICS DEFORMATION AND STRAIN MEASUREMENTS WITH 3D IMAGE CORRELATION PHOTOGRAMMETRY, Experimental Techniques, vol.1554, issue.5, pp.39-42, 2002.
DOI : 10.1111/j.1747-1567.2002.tb00083.x

K. Xie, L. Wells, J. Camelio, and B. Young, Variation Propagation Analysis on Compliant Assemblies Considering Contact Interaction, Journal of Manufacturing Science and Engineering, vol.129, issue.5, pp.934-942, 2007.
DOI : 10.1115/1.2752829