A recent article by Vigdergauz considered two-component, linearly elastic plates. It showed the existence of spatially periodic microstructures producing plates of extremal rigidity. For the microstructures which maximize or minimize the effective bulk modulus, Vigdergauz asserted that the effective behavior was isotropic. We show this is wrong: the effective tensor is in fact anisotropic.

Issue Section:
Brief Notes
Topics:
Anisotropy, Bulk modulus, Elastic plates, Plates (structures), Stiffness, Tensors
1.
Gibson
L. J.
,
Ashby
M. F.
,
Schajer
G. S.
, and
Robertson
C. I.
,
1982
, “
The mechanics of two-dimensional cellular materials
,”
Proceedings of the Royal Society of London, A
, Vol.
382
, pp.
25
–
42
.
2.
Grabovsky
Y.
,
1995
,
discussion
,
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
62
, p.
550
550
.
3.
Grabovsky
Y.
, and
Kohn
R. V.
,
1995
, “
Microstructures minimizing the energy of a two phase elastic composite in two space dimensions. II: the Vigdergauz microstructure
,”
Journal of the Mechanics and Physics of Solids
, Vol.
43
, pp.
949
–
972
.
4.
Vigdergauz
S.
,
1994
, “
Two-Dimensional Grained Composites of Extreme Rigidity
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
61
, pp.
390
–
394
.
This content is only available via PDF.
Copyright © 1995
 by The American Society of Mechanical Engineers
You do not currently have access to this content.