Based on thermodynamic considerations and experimental data on isothermal compression of elastomeric foams, a simple equation of state of flexible polymeric foams was developed. The developed equation of state is, in fact, a simple universal function relating the thermodynamic properties of the material of which the skeleton of the foam is made and the foam porosity. It was shown that the Hugoniot adiabat of foams, whose porosity is less than 0.3 and which are exposed to moderate shocks, could be expressed in a form similar to that of bulk solids, i.e., D = Co + Su, where D is the shock front velocity, Co is the speed of sound, u is the particle velocity and S is the maximum material compressibility.
Issue Section:
Technical Papers
1.
Ben-Dor
G.
Mazor
G.
Igra
O.
Sorek
S.
Onodera
H.
1993
, “Shock-Wave Interaction with Cellular Materials. Part II: Open-Cell Foams; Experimental and Numerical Results
,” Shock Waves
, Vol. 3
, pp. 167
–179
.2.
Caroll
M. M.
Holt
A. C.
1972
, “Static and Dynamic Pore-Collapse Relations for Ductile Porous Materials
,” J. Appl. Phys.
, Vol. 43
, pp. 1626
–1636
.3.
Gibson, L. J., and Ashby, M. F., 1988, Cellular Solids: Structure and Properties, Pergamon Press, Oxford, England.
4.
Hermann
W.
1969
, “Constitutive Equation for the Dynamic Compaction of Ductile Porous Materials
,” J. Appl. Phys.
, Vol. 40
, pp. 2490
–2499
.5.
Holmes, N. C, 1994, “Shock Compression of Low-Density Foams,” AIP Conference Proceedings 309, High Pressure Science and Technology 1993, S. C. Shmidt et al., ed., AIP Press, pp. 153–156.
6.
Landau, L. D., and Lifshits, E. M., 1987a, Fluid Mechanics. Course of Theoretical Physics, Vol. 6, 2nd Ed. Pergamon Press, Oxford England.
7.
Landau, L. D., and Lifshits, E. M., 1987b, Statistical Physics. Course of Theoretical Physics, Vol. 5, 3rd Ed. Pergamon Press, Oxford England.
8.
Pastine
D. J.
1968
, “P, V, T Equation of State for Polyethylene
,” J. Chem. Phys.
, Vol. 49
, pp. 3012
–3022
.9.
Marsh, S. P., 1980, LASL Shock Hugoniot Data, University of California Press, Berkeley, Los Angeles, CA.
10.
Morris
C. E.
1991
, “Shock Wave Equation of State Studies in Los-Alamos
,” Shock Waves
, Vol. 1
, pp. 213
–222
.11.
Rinde
J. A.
1970
, “Poisson’s Ratio for Rigid Plastic Foams
,” J. Appl. Polymer Science
, Vol. 14
, pp. 1913
–1926
.12.
Rusch
K. C.
1969
, “Load-Compression Behavior of Flexible Foams
,” J. Appl. Polymer Science
, Vol. 13
, pp. 2297
–2311
.13.
Rusch
K. C.
1970
, “Energy-Absorbing Characteristics of Foamed Polymers
,” J. Appl. Polymer Science
, Vol. 14
, pp. 1433
–1447
.14.
Schreyer
H. L.
Zuo
Q. H.
Maji
A. K.
1994
, “Anisotropic Plasticity Model for Foams and Honeycombs
,” J. of Eng. Mechanics
, Vol. 120
, pp. 1913
–1929
.15.
Zaretsky
E.
Ben-Dor
G.
1995
, “Compressive Stress-Strain Relations and Shock Hugoniot Curves of Flexible Foams
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 117
, pp. 278
–284
.16.
Zaretsky, E., and Igra, O., 1995, “Head-on Collision of a Normal Shock Wave with a Polyurethane Foam,” Proceedings of the 19th International Symposium on Shock Waves, R. Brun and L. Z. Dumitrescu, eds., Springer, Berlin-Heidelberg, Vol. III, pp. 209–214.
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