The crushing response of polycarbonate circular cell honeycomb to inplane uniaxial loading under displacement control is analyzed through a combination of experiment and numerical simulation. The experiments, which correspond to two different uniaxial loading conditions, are performed using honeycomb material which has a nearly periodic microstructure. In the initial part of the response, the specimens deform in a uniform fashion. Next, a nonlinear phase characterized by progressive localization of deformation is observed. The progressive localization causes the walls of each cell to contact. These experimental results are simulated through numerical analysis using the finite element method. The reasons for the orthotropic response of the honeycombs are discussed.

1.
Gent
A. N.
and
Thomas
A. G.
, “
Mechanics of Foamed Elastic Materials
,”
Rubb. Chem. Technol.
, Vol.
36
, pp.
597
597
,
1963
.
2.
Gibson
L. J.
,
Ashby
M. F.
,
Schajer
G. S.
, and
Robertson
C. I.
, “
The Mechanics of Two Dimensional Cellular Materials
,”
Proc. R. Soc.
,
A 382
, pp.
25
25
,
1982
.
3.
Silva
M. J.
,
Hayes
W. C.
, and
Gibson
L. J.
, “
The Effect of Non-Periodic Microstructure on the Elastic Properties of Two-Dimensional Cellular Solids
,”
Int. J. Meek. Sci.
, Vol.
37
, pp.
1161
1161
,
1995
.
4.
Klintworth
J. W.
, and
Stronge
W. J.
, “
Elasto-Plastic Yield Limits and Deformation Laws for Transversely Crushed Honeycombs
,”
Int. J. Mech. Sci.
, Vol.
30
, pp.
273
273
,
1988
.
5.
Gibson
L. J.
, and
Ashby
M. F.
, “
The Mechanics of Three-Dimensional Cellular Materials
,”
Proc. R. Soc.
,
A 382
, pp.
43
43
,
1982
.
6.
L. J. Gibson, and M. F. Ashby, Cellular Solids: Structure and Properties, Pergamon Press, Oxford, 1988.
7.
Papka
S. D.
, and
Kyriakides
S.
, “
In-Plane Compressive Response and Crushing of Honeycomb
,”
J. Mech. Phys. Solids
, Vol.
42
, pp.
1499
1499
,
1994
.
8.
Papka
S. D.
, and
Kyriakides
S.
, “
In-Plane Crushing of a Polycarbonate Honeycomb
,”
Int. J. Solids Structures
, Vol.
35
, pp.
239
239
,
1998
.
9.
S. D. Papka, and S. Kyriakides, “In-plane Crushing of a Polycarbonate Honeycomb,” ASME International Congress Presentation, 1997.
10.
Paul A. Lagace, and Antony J. Vizzini,“The Sandwich Column as a Compressive Characterization Specimen for Thin Laminates,” ASTM STP 972, Vol. 46, pp. 143, 1988.
11.
Grenestedt
Joachim L.
, “
Influence of Wavy Imperfections in Cell Walls on Elastic Stiffness of Cellular Solids
,”
J. Mech. Phys. Solids
, Vol.
46
, pp.
29
29
,
1998
.
12.
Triantafyllidis
N.
and
Bardenhagen
S.
, “
On Higher Order Gradient Continuum Theories in 1-D Nonlinear Elasticity. Derivation From and Comparison to the Corresponding Discrete Models
,”
Journal of Elasticity
, Vol.
33
, pp.
259
259
,
1993
.
13.
J. Chung and A. Waas, “Compressive Response of Circular Cell Honeycomb Under In-plane Biaxial Stresses,” UM Aerospace Engineering Department Report 98-3, Aerospace Engineering Department, University of Michigan, Ann Arbor, MI, 48109.
14.
J. Chung and A. Waas, “The Inplane Elastic Properties of Circular Cell and Elliptical Cell Honeycombs,” UM Aerospace Engineering Department Report 99-1, Aerospace Engineering Department, University of Michigan, Ann Arbor, MI, 48109. To appear in Acta Mechanica, 1999.
15.
A. Askar, Lattice Dynamical Formulation of Continuum Theories, series in Theoretical and Applied Mechanics, Taylor & Francis Publishers, Ed: R. K. T. Hsieh, 1985.
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