Optimizing the ogden strain energy expression of rubber materials

Journal of Engineering Materials and Technology

Volumn 127, Issue 3, 2005, Pages 351-353

  Beda, T ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FUNCTIONS; INVARIANCE; MATHEMATICAL MODELS; OPTIMIZATION; STRAIN;

DOMAIN INFLUENCE; ENERGY FUNCTION; INCOMPRESSIBLE MATERIALS; OGDEN STRAIN ENERGY;

RUBBER;

EID: 22944479627     PISSN: 00944289     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1925282     Document Type: Article

References (11)

1. Rivlin, R. S., 1956, Rheology: Theory and Applications, edited by F. R. Eirich, Academic Press, NY, Vol. 1.
2. Green, A. E., Adkins, J. E., 1960, Large Elastic Deformation and Nonlinear Continuum Mechanics, Clarendon Press, Oxford.
3. Ogden, R. W., 1984, Nonlinear Elastic Deformations, Ellis Horwood, England.
4. Beda, T., Chevalier, Y., 2003, "Hybrid Continuum Model for Large Elastic Deformation of Rubber," J. Appl. Phys., 94(4), pp. 2701-2706.
5. Madsen, K., Nielsen, H. B., Tingleff, O., 1999, "Method for Nonlinear Least Squares Problems," IMM, J. No H38, 7.7. 1999 HBN/ms, TU Denmark.
6. Kirkup, L., 2002, "Principles and Applications of Non-Linear Least Squares: An Introduction for Physical Scientists Using Excel's Solver," UT Sydney, Science: Applied Physics, Copyright UTS.
7. Beda, T., Chevalier, Y., 2003, "Nonlinear Approximation Method by an Approach in Stages," Comput. Mech., 32(3), pp. 177-184.
8. Beda, T., "Combining Approach in Stages with Finite Domains Least Squares" (to be published).
9. Treloar, L. R. G., 1944, "Stress-Strain Data for Vulcanized Rubber Under Various Types of Deformation," Trans. Faraday Soc., 40, pp. 59-70.
10. Ogden, R. W., 1972a, "Large Deformation Isotropic Elasticity-On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids," Proc. R. Soc. London, Ser. A 326, pp. 565-584.
11. Beda, T., 2005, "Reconciling the Fundamental Phenomenological Expression of the Strain Energy of Rubber with Established Experimental Facts," J. Polym. Sci., Part B: Polym. Phys., 43(2), pp. 125-134.