A parametric model for a class of foam-Like isotropic hyperelastic materials

Journal of Applied Mechanics, Transactions ASME

Volumn 67, Issue 2, 2000, Pages 248-254

  Jemiolo, S ^a   Turteltaub, S ^b  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MECHANICAL PROPERTIES; DENSITY (SPECIFIC GRAVITY); ENERGY ABSORPTION; FOAMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; TENSORS;

APPLICATION PROBLEMS; ELASTIC POTENTIAL; FUNCTIONAL RELATION; GENERAL MODEL; HYPERELASTIC MATERIALS; MATERIAL PARAMETER; PARAMETRIC MODELING; RELATIVE MASS;

MECHANICAL ENGINEERING; ELASTICITY;

ISOTROPIC HYPERELASTIC MATERIALS; RELATIVE MASS DENSITY;

EID: 0034205847     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1305277     Document Type: Article

References (15)

1. Ashby, M. F., 1983, “The Mechanical Properties of Cellular Solids,” Metall. Trans. A, 14A, pp. 1755-1769.
2. Maiti, S. K., Gibson, L. J., and Ashby, M. F., 1984, “Deformation and Energy Absorption Diagrams for Cellular Solids,” Acta Metall., 32, No. 11, pp. 1963-1975.
3. Gibson, L. J., and Ashby, M. F., 1997, Cellular Solids: Structure and Properties, Cambridge University Press, Cambridge, UK.
4. Blatz, P. J., and Ko, W. L., 1962, “Application of Finite Elastic Theory to the Deformation of Rubbery Materials,” Trans. Soc. Rheol., VI, pp. 223-251.
5. Ogden, R. W., 1972, “Large Deformation Isotropic Elasticity: On the Correlation of Theory and Experiment for Compressible Rubberlike Solids,” Proc. R. Soc. London, Ser. A, 328, pp. 567-583.
6. Ball, J. M., 1977, “Convexity Conditions and Existence Theorems in Nonlinear Elasticity,” Arch. Ration. Mech. Anal., 63, pp. 337-403.
7. Dacorogna, B., 1989, Direct Methods in the Calculus of Variations, Springer-Verlag, New York.
8. Ball, J. M., and Murat, F., 1984, “IT-quasiconvexity and Variational Problems for Multiple Integrals,” J. Funct. Anal., 58, pp. 225-253.
9. Horgan, C. O., 1996, “Remarks on Ellipticity for the Generalized Blatz-Ko Constitutive Model for a Compressible Nonlinearly Elastic Solid,” J. Elast., 42, pp. 165-176.
10. Warren, W. E., and Kraynik, A. M., 1997, “Linear Elastic Behavior of a Low-Density Kelvin Foam With Open Cells,” ASME J. Appl. Mech., 64, pp. 787-794.
11. El-Ratal, W. H., and Mallick, P. K., 1996, “Elastic Response of Flexible Polyurethane Foams in Uniaxial Tension,” J. Eng. Mater. Technol., 118, pp. 157-161.
12. Twizell, E. H., and Ogden, R. W., 1983, “Nonlinear Optimization of the Material Constants in Ogden’s Stress-Deformation Function for Incompressible Isotropic Elastic Materials,” J. Aust. Math. Soc. B, Appl. Math., 24, pp. 424-434.
13. Lakes, R., Rosakis, P., and Ruina, A., 1993, “Microbuckling Instability in Elastomeric Cellular Solids,” J. Mater. Sci., 28, No. 17, pp. 4667-4672.
14. Abeyaratne, R., and Triantafyllidis, N., 1984, “An Investigation of Localization in a Porous Elastic Material Using Homogenization Theory,” ASME J. Appl. Mech., 51, No. 3, pp. 481-486.
15. Bendsoe, M. P., Guedes, J. M., Haber, R. B., Pedersen, P., and Taylor, J. E., 1994, “An Analytical Model to Predict Optimal Properties in the Context of Optimal Structural Design,” ASME J. Appl. Mech., 61, pp. 930-937.