Paper is a highly anisotropic and nonlinear material. Solid mechanics research on paper structures has been hampered by limited data on the nonlinear material properties of paperboards. In particular, it has been difficult to measure shear and z-directional properties. In this paper, nonlinear material response of paper laminates under simple loading conditions (uniaxial compression in three directions and in plane shear) are presented. Also, data is presented for various Poisson’s ratios. It was found that paper behaves differently along the thickness direction than along the in-plane directions. Poisson’s ratios are usually nonlinear with large deformation. In-plane Poisson’s ratios decrease, while out-of-plane Poisson’s ratios increase with the applied load.

Issue Section:
Technical Papers
Topics:
Anisotropy, Compression, Deformation, Laminates, Materials properties, Shear (Mechanics), Solid mechanics, Stress
1.
Gerhardt
T. D.
,
1989
, “
External Pressure Loading of Spiral Paper Tubes: Theory and Experiment
,”
ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol.
112
, pp.
144
–
150
.
2.
Gipple
K. L.
, and
Hoyns
D.
,
1994
, “
Measurement of the Out-of-Plane Shear Response of Thick Section Composite Materials Using the V-noted Beam Specimen
,”
Journal of Composite Materials
, Vol.
28
, pp.
543
–
572
.
3.
Ifju, P. G., 1994, “The Shear Gauge: For Reliable Shear Modulus Measurements of Composite Materials,” Experimental Mechanics, Dec., pp. 369–378.
4.
Jones, R. M., 1975, Mechanics of Composite Materials, Scripta Book Company, D.C.
5.
Mann
R. W.
,
Baum
G. A.
, and
Habeger
C. C.
,
1980
,“
Determination of All Nine Orthotropic Elastic Constants for Machine-Made Paper
,”
Tappi
, Vol.
63
, pp.
163
–
166
.
6.
Measurements Technology Inc., “Strain Transducers and Instrumentation Systems,” U.S. Patent number 4, 251, 918.
7.
Morton
J.
,
Ho
H.
, and
Tsai
M. Y.
,
1992
, “
An evaluation of the Iosipescu Specimen for Composite Materials Shear Property Measurement
,”
Journal of Composite Material
, Vol.
26
, pp.
708
–
750
.
8.
Niu, X. K., Ifju, P., and Qiu, Y. P., 1998, “Interlaminar Shear Testing of Paperboard,” Proceedings of the 1998 Student Paper Competition of the SEM Spring Conference on Experimental and Applied Mechanics, June, Houston, TX, pp. 13–14.
9.
Suhling, J. C., 1985, “Constitutive Relations and Failure Predictions for Nonlinear Orthotropic Media,” Doctoral dissertation, Department of Engineering Mechanics, University of Wisconsin.
10.
Suhling, J. C., Johnson, M. W., and Rowlands, R. E., 1989, “Nonlinear Elastic Constitutive Relations for Cellulosic Materials,” Proceedings of the ASME/ASCE Joint Mechanics Conference, La, Jolla, CA.
11.
Schaffrath, H. J., Gottsching, L., 1991, “The Behavior of Paper under Compression in Z-direction,” Proceedings of 1991 International Paper Physics Conference, pp. 489–510.
12.
Van Liew
G. P.
, “
The Z-direction Deformation of Paper
,”
Tappi
, Vol.
57
, pp.
121
–
124
.
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