The Yeoh model applied to the modeling of large deformation contact/impact problems

International Journal of Impact Engineering

Volumn 36, Issue 5, 2009, Pages 659-666

  Renaud, Christine ^a   Cros, Jean Michel ^a   Feng, Zhi Qiang ^a   Yang, Bintang ^b  

^a University of Evry Paris Saclay   (France)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Contact Impact; Hyperelasticity; Large deformation; Yeoh model

Indexed keywords

ELASTICITY; EQUATIONS OF MOTION;

CONTACT/IMPACT; EXPLICIT EXPRESSIONS; FINITE DEFORMATIONS; FINITE ELEMENT IMPLEMENTATIONS; FIRST-ORDER ALGORITHMS; GEOMETRICALLY NONLINEAR; HYPER ELASTICS; HYPERELASTICITY; LAGRANGIAN FORMULATIONS; LARGE DEFORMATION; NUMERICAL EXAMPLES; TANGENT OPERATORS; YEOH MODEL;

DEFORMATION;

EID: 59849088731     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijimpeng.2008.09.008     Document Type: Article

References (20)

1. Wriggers P. Computational contact mechanics (2002), John Wiley & Sons, West Sussex, UK
2. Laursen T.A. Computational contact and impact mechanics: fundamentals of modeling interfacial phenomena in nonlinear finite element analysis (2002), Springer Verlag, Heidelberg, Germany
3. de Saxcé G., and Feng Z.-Q. The bi-potential method: a constructive approach to design the complete contact law with friction and improved numerical algorithms. Math Comput Model 28 4-8 (1998) 225-245
4. Feng Z.-Q., Peyraut F., and Labed N. Solution of large deformation contact problems with friction between Blatz-Ko hyperelastic bodies. Int J Eng Sci 41 (2003) 2213-2225
5. Hilber H.M., Hughes T.J.R., and Taylor R.L. Improved numerical dissipation for the time integration algorithms in structural dynamics. Earthquake Eng Struct Dyn 5 (1977) 283-292
6. Jean M. The non-smooth contact dynamics method. Comput Meth Appl Mech Eng 177 (1999) 235-257
7. Feng Z.-Q., Magnain B., Cros J.-M., and Joli P. Energy dissipation by friction in dynamic multibody contact problems. In: Yao Z.-H., Yuan M.-W., and Zhong W.-X. (Eds). Computational mechanics (Sept. 2004), Springer, Beijing, China WCCM VI in conjunction with APCOM04
8. Feng Z.-Q., Joli P., Cros J.-M., and Magnain B. The bi-potential method applied to the modeling of dynamic problems with friction. Comput Mech 36 (2005) 375-383
9. Blatz P.J., and Ko W.L. Application of finite elastic theory to the deformation of rubbery materials. Trans Soc Rheol 6 (1962) 223-251
10. Ogden R.W. Non-linear elastic deformations (1984), Ellis Horwood, Chichester, England
11. Arruda E.M., and Boyce M.C. A three dimensional constitutive model for the large deformation stretch behavior of rubber elastic materials. J Mech Phys Solids 41 (1993) 389-412
12. Yeoh O.H. Some forms of the strain energy function for rubber. Rubber Chem Technol 66 (1993) 745-771
13. Gent A.N. A new constitutive relation for rubber. Rubber Chem Technol 69 (1996) 59-61
14. Simo J.C., and Hughes T.J.R. Computational inelasticity (1998), Springer-Verlag, New York
15. Horgan C.O., and Saccomandi G. Finite thermoelasticity with limiting chain extensibility. J Mech Phys Solids 51 (2003) 1127-1146
16. Solberg J.M., and Papadopoulos P. A finite element method for contact/impact. Finite Elem Anal Des 30 (1998) 297-311
17. Feng Z.-Q. 2D or 3D frictional contact algorithms and applications in a large deformation context. Comm Numer Meth Eng 11 (1995) 409-416
18. Feng Z-Q. Available from: http://lmee.univ-evry.fr/∼feng/FerImpact.html.
19. Hofstetter K., Grohs Ch., Eberhardsteiner J., and Mang H.A. Sliding behaviour of simplified tire tread patterns investigated by means of FEM. Comput Struct 84 (2006) 1151-1163
20. Chung J., and Hulbert G.M. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized - α method. J Appl Mech ASME 60 (1993) 371-375