Unified Constitutive Equations of Foam Materials

Author:

Chang Fu S.1,Song Y.1,Lu D. X.1,DeSilva C. N.2

Affiliation:

1. Ford Motor Co., Room A110, VOGO, P.O. Box 1586, Dearborn, MI 48121

2. Mechanical Engineering Department, Wayne State University, Detroit, MI 48202

Abstract

A unified constitutive equation with the effect of compression strain rate, tension strain, and shear strain for foam materials with very low Poisson’s ratio has been developed. The mathematical derivation of the constitutive equation is described in detail. The effect of each parameter in the constitutive equation is studied. Numerical formula and procedure are also included in the paper. The test data of two types of energy absorbing foam materials are used for correlation study: polyurethane foam, which was tested at five compressive strain rates, and polypropylene foam, which was tested for quasi-static compression, tension, and shear. Good correlations have been concluded for both cases.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference12 articles.

1. Bodner, S. R., and Partom, Y., “Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials,” ASME Journal of Applied Mechanics, pp. 385–389, June 1975.

2. Chang, Fu S., “Constitutive Equation Development of Foam Materials,” Ph.D. dissertation, Wayne State University, May 1995.

3. Chang, Fu S., Hallquist, John O., and Lu, David X., et al., “Finite Element Analysis of Low-Density High-Hysteresis Foam Materials and Application in the Automotive Industry,” SAE Technical Paper No. 940908, 1994.

4. Lee, Wei-Ming, “Stress-Strain Behavior of Plastic Foams, Part I. Homogeneous,” Proceedings of the Fifth International Congress on Rheology, S. Onogi, ed., Vol. 3, pp. 83–95, Univ. Tokyo Press, Tokyo, 1970.

5. Lockett F. J. , et al., “Engineering Basis for Selection and Use of Crash Padding Materials,” Plastics and Rubber Processing and Applications, Vol. 1, No. 1, pp. 25–37, 1981.

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