Nanostructured materials produced by surface mechanical attrition treatment (SMAT) method are explored for two periodic lattice topologies: square and Kagome. Selected SMAT strategies are applied to bar members in the unit cell of each topology considered. The maximum axial stress in these bars is calculated as a function of the macroscopic in-plane principal stresses. A simple yield criterion is used to determine the elastic limit of the lattice with each SMAT strategy, and the relative merits of the competing strategies are discussed in terms of the reinforced yield strength and the SMAT efficiency. Experiments of selected SMAT strategies on both square and Kagome lattices made from stainless steel sheets are performed to assess the analytical predictions for the loading case of uniaxial tension.

References

1.
Evans
,
A. G.
,
Hutchinson
,
J. W.
,
Fleck
,
N. A.
,
Ashby
,
M. F.
, and
Wadley
,
H. N. G.
,
2001
, “
The Topological Design of Multifunctional Cellular Metals
,”
Prog. Mater. Sci.
,
46
(
3–4
), pp.
309
327
.10.1016/S0079-6425(00)00016-5
2.
Fleck
,
N. A.
,
Deshpande
,
V. S.
, and
Ashby
,
M. F.
,
2010
, “
Micro-Architectured Materials: Past, Present and Future
,”
Proc. R. Soc. London A
,
466
(
2121
), pp.
2495
2516
.10.1098/rspa.2010.0215
3.
Gibson
,
L. J.
, and
Ashby
,
M. F.
,
1997
,
Cellular Solids: Structure and Properties
, 2nd ed.,
Cambridge University
,
Cambridge, UK
.
4.
Wadley
,
H. N. G.
,
2006
, “
Multifunctional Periodic Cellular Metals
,”
Phil. Trans. R. Soc. A
,
364
(
1838
), pp.
31
68
.10.1098/rsta.2005.1697
5.
Mai
,
S. P.
, and
Fleck
,
N. A.
,
2009
, “
Reticulated Tubes: Effective Elastic Properties and Actuation Response
,”
Proc. R. Soc. London A
,
465
(
2103
), pp.
685
708
.10.1098/rspa.2008.0328
6.
Gleiter
,
H.
,
1989
, “
Nanocrystalline Materials
,”
Prog. Mater. Sci.
,
33
(
4
), pp.
223
315
.10.1016/0079-6425(89)90001-7
7.
Koch
,
C. C.
,
2006
,
Nanostructured Materials: Processing, Properties, and Applications
, 2nd ed.,
William Andrew Publishing
, New York.
8.
Lu
,
L.
,
Chen
,
X.
,
Huang
,
X.
, and
Lu
,
K.
,
2009
, “
Revealing the Maximum Strength in Nanotwinned Copper
,”
Science
,
323
(
5914
), pp.
607
610
.10.1126/science.1167641
9.
Meyers
,
M. A.
,
Mishra
,
A.
, and
Benson
,
D. J.
,
2006
, “
Mechanical Properties of Nanocrystalline Materials
,”
Prog. Mater. Sci.
,
51
(
4
), pp.
427
556
.10.1016/j.pmatsci.2005.08.003
10.
Li
,
J.
, and
Soh
,
A. K.
,
2012
, “
Modeling of the Plastic Deformation of Nanostructured Materials With Grain Size Gradient
,”
Int. J. Plast.
,
39
, pp.
88
102
.10.1016/j.ijplas.2012.06.004
11.
Zhu
,
L.
, and
Lu
,
J.
,
2012
, “
Modelling the Plastic Deformation of Nanostructured Metals With Bimodal Grain Size Distribution
,”
Int. J. Plast.
,
30
(
30–31
), pp.
166
184
.10.1016/j.ijplas.2011.10.003
12.
Lu
,
K.
, and
Lu
,
J.
,
1999
, “
Surface Nanocrystallization (SNC) of Metallic Materials—Presentation of the Concept Behind a New Approach
,”
J. Mater. Sci. Technol.
,
15
(
3
), pp.
193
197
.10.1179/026708399101505707
13.
Lu
,
K.
, and
Lu
,
J.
,
2004
, “
Nanostructured Surface Layer on Metallic Materials Induced by Surface Mechanical Attrition Treatment
,”
Mater. Sci. Eng. A
,
375
(
375–377
), pp.
38
45
.10.1016/j.msea.2003.10.261
14.
Chan
,
H. L.
,
Ruan
,
H. H.
,
Chen
,
A. Y.
, and
Lu
,
J.
,
2010
, “
Optimization of Strain-Rate to Achieve Exceptional Mechanical Properties of 304 Stainless Steel Using High Speed Ultrasonic SMAT
,”
Acta Mater.
,
58
(
15
), pp.
5086
5096
.10.1016/j.actamat.2010.05.044
15.
Chen
,
A. Y.
,
Ruan
,
H. H.
,
Wang
,
J.
,
Chan
,
H. L.
,
Wang
,
Q.
,
Li
,
Q.
, and
Lu
,
J.
,
2011
, “
The Influence of Strain Rate on the Microstructure Transition of 304 Stainless Steel
,”
Acta Mater.
,
59
(
9
), pp.
3697
3709
.10.1016/j.actamat.2011.03.005
16.
Hutchinson
,
R. G.
,
2004
, “
Mechanics of Lattice Materials
,” Ph.D. thesis,
Cambridge University Engineering Department
,
Cambridge, UK
.
17.
Hutchinson
,
R. G.
,
Wicks
,
N.
,
Evans
,
A. G.
,
Fleck
,
N. A.
, and
Hutchinson
,
J. W.
,
2003
, “
Kagome Plate Structures for Actuation
,”
Int. J. Solids. Struct.
,
40
(
25
), pp.
6969
6980
.10.1016/S0020-7683(03)00348-2
18.
Fertis
,
D. G.
,
1999
,
Nonlinear Mechanics
, 2nd ed.,
CRC Press
,
Boca Raton, FL
.
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