Tensile and compressive stress-strain responses were obtained for various densities of polymer foams. These experimental data were used to determine relevant engineering parameters (such as elastic moduli in tension and compression, ultimate tensile strength, etc.) as a function of foam density. A phenomenological model applicable for both compressive and tensile responses of polymeric foams is validated by comparing the model to the experimentally obtained compression and tensile responses. The model parameters were analyzed to determine the effect of each parameter on the mechanical response of the foam. The engineering parameters were later compared to the appropriate model parameters and a good correlation was obtained. It was shown that the model indeed captures the entire compressive and tensile response of polymeric foams effectively.

1.
Kraatz
,
A.
,
Moneke
,
M.
, and
Kolupaev
,
V.
, 2006, “
Long-Term Tensile and Compressive Behavior of Polymer Foams
,”
J. Cell. Plast.
0021-955X,
42
(
3
), pp.
221
228
.
2.
Goods
,
S. H.
,
Neuschwanger
,
C. L.
,
Henderson
,
C. C.
, and
Skala
,
D. M.
, 1998, “
Mechanical Properties of Crete, a Polyurethane Foam
,”
J. Appl. Polym. Sci.
0021-8995,
68
(
7
), pp.
1045
1055
.
3.
Kabir
,
M. E.
,
Saha
,
M. C.
, and
Jeelani
,
S.
, 2006, “
Tensile and Fracture Behavior of Polymer Foams
,”
Mater. Sci. Eng., A
0921-5093,
429
(
1–2
), pp.
225
235
.
4.
Gdoutos
,
E. E.
,
Daniel
,
I. M.
, and
Wang
,
K. A.
, 2001, “
Failure of Cellular Foams Under Multiaxial Loading
,”
Composites, Part A
1359-835X,
33
(
2
), pp.
163
176
.
5.
Bazant
,
Z. P.
,
Yong
,
Z.
,
Goangseup
,
Z.
, and
Daniel
,
I. M.
, 2003, “
Size Effect and Asymptotic Matching Analysis of Fracture of Closed-Cell Polymeric Foam
,”
Int. J. Solids Struct.
0020-7683,
40
(
25
), pp.
7197
7217
.
6.
Miltz
,
J.
, and
Gruenbaum
,
G.
, 1981, “
Evaluation of Cushioning Properties of Plastic Foams From Compressive Measurements
,”
Polym. Eng. Sci.
0032-3888,
21
(
15
), pp.
1010
1014
.
7.
Wierzbicki
,
T.
, and
Doyoyo
,
M.
, 2003, “
Determination of the Local Stress-Strain Response of Foams
,”
ASME J. Appl. Mech.
0021-8936,
70
(
2
), pp.
204
211
.
8.
Rusch
,
K. C.
, 1970, “
Load-Compression Behavior of Brittle Foams
,”
J. Appl. Polym. Sci.
0021-8995,
14
(
5
), pp.
1263
1276
.
9.
Rusch
,
K. C.
, 1969, “
Load-Compression Behavior of Flexible Foams
,”
J. Appl. Polym. Sci.
0021-8995,
13
(
11
), pp.
2297
2311
.
10.
Meinecke
,
E. A.
, and
Schwaber
,
D. M.
, 1970, “
Energy Absorption in Polymeric Foams
,”
J. Appl. Polym. Sci.
0021-8995,
14
(
9
), pp.
2239
2248
.
11.
Nagy
,
A.
,
Ko
,
W. L.
, and
Lindholm
,
U. S.
, 1974, “
Mechanical Behavior of Foamed Materials Under Dynamic Compression
,”
J. Cell. Plast.
0021-955X,
10
(
3
), pp.
127
134
.
12.
Sherwood
,
J. A.
, and
Frost
,
C. C.
, 1992, “
Constitutive Modeling and Simulation of Energy Absorbing Polyurethane Foam Under Impact Loading
,”
Polym. Eng. Sci.
0032-3888,
32
(
16
), pp.
1138
1146
.
13.
Liu
,
Q.
, and
Subhash
,
G.
, 2004, “
A Phenomenological Constitutive Model for Foams Under Large Deformations
,”
Polym. Eng. Sci.
0032-3888,
44
(
3
), pp.
463
473
.
14.
Hilyard
,
N. C.
, and
Cunningham
,
A.
, 1994,
Low Density Cellular Plastics: Physical Basis of Behaviour
,
N. C.
Hilyard
and
A.
Cunningham
, eds.,
Chapman and Hall
,
New York
.
15.
Gibson
,
L. J.
, and
Ashby
,
M. F.
, 1999,
Cellular Solids: Structure and Properties
,
Cambridge University Press
,
Cambridge
.
16.
Gao
,
X. L.
,
Li
,
K.
, and
Subhash
,
G.
, 2006, “
Effects of Cell Shape and Strut Cross-Sectional Area Variations on the Elastic Properties of Three-Dimensional Open-Cell Foams
,”
J. Mech. Phys. Solids
0022-5096,
54
(
4
), pp.
783
806
.
17.
Li
,
K.
,
Gao
,
X. L.
, and
Subhash
,
G.
, 2005, “
Effects of Cell Shape and Cell Wall Thickness Variations on the Elastic Properties of Two-Dimensional Cellular Solids
,”
Int. J. Solids Struct.
0020-7683,
42
(
5–6
), pp.
1777
1795
.
18.
Gong
,
L.
, and
Kyriakides
,
S.
, 2005, “
Compressive Response of Open Cell Foams. Part II: Initiation and Evolution of Crushing
,”
Int. J. Solids Struct.
0020-7683,
42
(
5–6
), pp.
1381
1399
.
19.
Gong
,
L.
,
Kyriakides
,
S.
, and
Jang
,
W. Y.
, 2005, “
Compressive Response of Open-Cell Foams. Part I: Morphology and Elastic Properties
,”
Int. J. Solids Struct.
0020-7683,
42
(
5–6
), pp.
1355
1379
.
20.
Subhash
,
G.
, and
Liu
,
Q.
, 2004, “
Crushability Maps for Structural Polymeric Foams in Uniaxial Loading Under Rigid Confinement
,”
Exp. Mech.
0014-4851,
44
(
3
), pp.
289
294
.
21.
Liu
,
Q.
,
Subhash
,
G.
, and
Gao
,
X.-L.
, 2005, “
A Parametric Study on Crushability of Open-Cell Structural Polymeric Foams
,”
J. Porous Mater.
1380-2224,
12
(
3
), pp.
233
248
.
22.
Avalle
,
M.
,
Belingardi
,
G.
, and
Ibba
,
A.
, 2007, “
Mechanical Models of Cellular Solids: Parameters Identification From Experimental Tests
,”
Int. J. Impact Eng.
0734-743X,
34
(
1
), pp.
3
27
.
23.
Liu
,
Q.
, and
O’Toole
,
B.
, 2007, “
Behavior Pattern and Parametric Characterization for Low Density Crushable Foams
,”
J. Mater. Process. Technol.
0924-0136,
191
(
1–3
), pp.
73
76
.
24.
Throne
,
J. L.
, 1982, “
Structural Foams
,”
Mechanics of Cellular Plastics
,
N. C.
Hilyard
, ed.,
Macmillan
,
New York
, pp.
236
322
.
25.
Subhash
,
G.
,
Liu
,
Q.
, and
Gao
,
X.-L.
, 2006, “
Quasistatic and High Strain Rate Uniaxial Compressive Response of Polymeric Structural Foams
,”
Int. J. Impact Eng.
0734-743X,
32
(
7
), pp.
1113
1126
.
26.
ASTM Standard D1621-00
, “
Standard Test Method for Compressive Properties of Rigid Cellular Plastics
,” ASTM International, West Conshohocken, PA, www.astm.orgwww.astm.org.
27.
ASTM Standard C273-00
, “
Standard Test Method for Shear Properties of Sandwich Core Materials
,” ASTM International, West Conshohocken, PA, www.astm.orgwww.astm.org.
28.
Ashby
,
M. F.
, 2000,
Metal Foams: A Design Guide
,
Butterworth-Heinemann
,
Boston
.
29.
Li
,
Q. M.
,
Magkiriadis
,
I.
, and
Harrigan
,
J. J.
, 2006, “
Compressive Strain at the Onset of Densification of Cellular Solids
,”
J. Cell. Plast.
0021-955X,
42
(
5
), pp.
371
392
.
30.
Menges
,
G.
, and
Knipschild
,
F.
, 1982, “
Stiffness and Strength—Rigid Plastic Foams
,”
Mechanics of Cellular Plastics
,
N. C.
Hilyard
, ed.,
Macmillan
,
New York
, p.
401
.
You do not currently have access to this content.