Large deformation analysis for soft foams based on hyperelasticity

Journal of Mechanics

Volumn 26, Issue 3, 2010, Pages 327-334

  Silber, G ^a   Alizadeh, M ^b   Salimi, M ^b  

^a FRANKFURT UNIVERSITY OF APPLIED SCIENCES   (Germany)

^b IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

Constitutive equation; Hyperelasticity; Strain energy function

Indexed keywords

EID: 77956931119     PISSN: 17277191     EISSN: None     Source Type: Journal    
DOI: 10.1017/S1727719100003889     Document Type: Article

References (24)

1. Gibson, L. J. and Ashby, M. F., "Cellular Solids-Structure and Properties, " Second Ed., Cambridge University Press (1997).
2. Ben-Dor, G., Cederbaum, G., Mazor, G. and Igra, O., "Well Tailored Compressive Stress-Strain Relations for Elastomeric Foams in Uni-Axial Stress Compression, " Journal of Materials Science, 31, pp. 1107-1113 (1996).
3. Ben-Dor, G., Mazor, G., Cederbaum, G. and Igra O., "Stress-Strain Relations for Elastomeric Foams in Uni-, Bi-, and Tri-Axial Compression Modes, " Archive of Applied Mechanics, 66, pp. 409-418 (1996). (Pubitemid 126595161)
4. Warren, W. E., Kraynik, A. M. and Stone, C M., "A Constitutive Model for Two Dimensional Nonlinear Elastic Foams, " Journal of Mechanics and Physics of Solids, 37, pp. 717-733 (1989).
5. Warren, W. E. and Kraynik, A. M., "Nonlinear Elastic Behavior of Open-Cell Foams, " Journal of Applied Mechanics, 58, pp. 376-381 (1991).
6. Hill, R., Aspects of invariance in solid mechanics. Advances in Applied Mechanics, 18, pp. 1-75 (1978).
7. Twizell, E. H. and Ogden, R. W., "Non-Linear Optimization of the Material Constants in Ogden's Stress-Deformation Function for Incompressible Isotropic Elastic Materials, " Journal of the Australian Mathematical Society, Ser. B, 24, pp. 424-434 (1983).
8. Storakers, B., "On Material Representation and Constitutive Branching in Finite Compressible Elasticity, " Journal of Mechanics and Physics of Solids, 34, pp. 125-145 (1986).
9. Ogden, R. W., "Recent Advances in the Phenomenological Theory of Rubber Elasticity, " Rubber Chemistry and Technology, 59, pp. 361-383 (1986).
10. ABAQUS benchmarks manual, Version 6.4. Hibbitt, Karlsson and Sorensen, Inc. (2004).
11. Setyabudhy, R. H., Ali, A., Hubbard, R P., Beckett, C and Averill, R. C., "Measuring and Modeling of Human Soft Tissue and Seat Interaction, " SAE World Congress, 970593, pp. 135-142 (1997).
12. Mlls, N. J. and Gilchrist, A., "Modeling the Indentation of Low Density Polymer Foams, " Cellular Polymers, 19 (2000).
13. Mullins, L., "Softening of Rubber by Deformation, " Rubber Chemistry and Technology, 42, pp. 339-362 (1969).
14. Reese, S., Theorie und Numerik des Stabilitätsverhaltens Hyperelastischer Festkörper, Ph. D. thesis, TH Darmstadt (1994).
15. Green, A. E. and Adkins, J. E., Large Elastic Deformations, 2nd Ed., Oxford University Press, Oxford (1970).
16. Otten, R. H. J. M., van Ginneken, L. P. P. P.: The Annealing Algorithm. Kluwer, Boston (1989).
17. Nelder J. A. and Mead, R., A simplex method for function minimization. Computer Journal, 7, pp. 308-313 (1969).
18. Schwefel, H. P., Evolution and Optimum Seeking. Wiley and Sons, New York (1995).
19. James, A. G. and Green, A., "Strain Energy Functions of Rubber. Ii the Characterization of Filled Vilcanisates, " Journal of Applied Polymer Science, 19, pp. 2033-2058 (1975).
20. Van den Bogert, P. A. J. and de Borst, R., "On the Behavior of Rubberlike Materials in Compression and Shear, " Archives of Applied Mechanics, 64, pp. 136-146 (1994).
21. Hartmann, S., Tschöpe, T., Schreiber, L. and Haupt, P., "Finite Deformations of a Carbonblack-Filled Rubber. Experiment, Optical Measurement and Material Parameter Identification Using Finite Elements, " European Journal of Mechanics A/Solids, 22, pp. 309-324 (2003).
22. Lion, A., "A Constitutive Model for Carbon Black Filled Rubber: Experimental Investigations and Mathematical Representation. Continuum, " Mechanics Thermodyn., 8, pp. 153-169 (1996). (Pubitemid 126313193)
23. Chagnon, G., Marckmann, G., Verron, E., Gornet, L., Charrier, P. and Ostoja-Kuczynski, E., "A New Modeling of the Mullins Effect and the Viscoelasticity of Elastomer Based on a Physical Approach, " Proceedings of the International Rubber Conference. Prague, Czech Republic (2002).
24. Ehlers, W. and Markert, B., Viscoelastic polyurethane foams at finite deformations. In: Wall W. A., Bletzinger K. U. and Schweizerhof K. Eds., Trends in Computational Structural Mechanics. CIMNE, Barcelona pp. 249-256 (2001).