Much research has been conducted on effective elastic properties of meso-scaled periodic cellular material (MPCM) structures; however, there is only limited research providing guidelines on how to develop improved unit cell (UC) topologies and shapes for a given set of loading requirements and conditions. This paper presents guidelines to improve the shear flexibility of the MPCMs while maintaining the effective shear modules by changing the topology or the shape of a unit cell. The guidelines are intended to use design knowledge for helping engineers by providing recommendations at any stage of the design process. In this paper, the guidelines are developed by changing topology characteristics to achieve a desired effective property of the MPCM structure. The effects of individual members, such as side connection, transverse connection, vertical legs, and curved beams of MPCM structure, when subjected to the in-plane shear loading are investigated through conducting a set of numerical simulation on UCs with similar topology and shape characteristics. Based on the simulation results, the unit cell design guidelines are developed to provide recommendations to engineers on improving the shear flexure of MPCM during the design process. Ultimately, a unit cell design guideline development method is offered and demonstrated by developing two new design guidelines.

References

References
1.
Gibson
,
L. J.
, and
Ashby
,
M. F.
,
1999
,
Cellular Solids: Structure and Properties
,
Cambridge University Press
,
Cambridge
.
2.
Haghpanah
,
B.
,
Papadopoulos
,
J.
,
Mousanezhad
,
D.
,
Nayeb-Hashemi
,
H.
, and
Vaziri
,
A.
,
2014
, “
Buckling of Regular, Chiral and Hierarchical Honeycombs Under a General Macroscopic Stress State
,”
Proc. R. Soc. A Math. Phys. Eng. Sci.
,
470
(
2167
), p.
20130856
.
3.
Chang
,
P.
, and
Rosen
,
D.
,
2013
, “
The Size Matching and Scaling Method: A Synthesis Method for the Design of Mesoscale Cellular Structures
,”
Int. J. Comput. Integr. Manuf.
,
26
(
10
), pp.
907
927
.
4.
Ajdari
,
A.
,
Nayeb-Hashemi
,
H.
, and
Vaziri
,
A.
,
2011
, “
Dynamic Crushing and Energy Absorption of Regular, Irregular and Functionally Graded Cellular Structures
,”
Int. J. Solids Struct.
,
48
(
3–4
), pp.
506
516
.
5.
Schultz
,
J.
,
Griese
,
D.
,
Ju
,
J.
,
Shankar
,
P.
,
Summers
,
J. D.
, and
Thompson
,
L.
,
2012
, “
Design of Honeycomb Mesostructures for Crushing Energy Absorption
,”
ASME J. Mech. Des.
,
134
(
7
), p.
071004
.
6.
Nguyen
,
J.
,
Park
,
S.
, and
Rosen
,
D.
,
2013
, “
Heuristic Optimization Method for Cellular Structure Design of Light Weight Components
,”
Int. J. Precis. Eng. Manuf.
,
14
(
6
), pp.
1071
1078
.
7.
Lee
,
J.
,
Kim
,
K.
,
Ju
,
J.
, and
Kim
,
D.-M.
,
2015
, “
Compliant Cellular Materials With Elliptical Holes for Extremely High Positive and Negative Poisson’s Ratios
,”
ASME J. Eng. Mater. Technol.
,
137
(
1
), p.
011001
.
8.
Seepersad
,
C. C.
,
Allen
,
J. K.
,
McDowell
,
D. L.
, and
Mistree
,
F.
,
2008
, “
Multifunctional Topology Design of Cellular Material Structures
,”
ASME J. Mech. Des.
,
130
(
3
), p.
031404
.
9.
Ju
,
J.
, and
Summers
,
J. D.
,
2011
, “
Hyperelastic Constitutive Modeling of Hexagonal Honeycombs Subjected to In-Plane Shear Loading
,”
ASME J. Eng. Mater. Technol.
,
133
(
1
), p.
011005
.
10.
Shankar
,
P.
,
Fazelpour
,
M.
, and
Summers
,
J. D.
,
2015
, “
Comparative Study of Optimization Techniques in Sizing MesoStructures for Use in Nonpneumatic Tires
,”
ASME J. Comput. Inf. Sci. Eng.
,
15
(
4
), p.
041009
.
11.
Midha
,
A.
,
Norton
,
T. W.
, and
Howell
,
L. L.
,
1994
, “
On the Nomenclature, Classification, and Abstractions of Compliant Mechanisms
,”
ASME J. Mech. Des.
,
116
(
1
), pp.
270
279
.
12.
Mehta
,
V.
,
Frecker
,
M.
, and
Lesieutre
,
G. A.
,
2009
, “
Stress Relief in Contact-Aided Compliant Cellular Mechanisms
,”
ASME J. Mech. Des.
,
131
(
9
), p.
091009
.
13.
Ju
,
J.
, and
Summers
,
J. D.
,
2011
, “
Compliant Hexagonal Periodic Lattice Structures Having Both High Shear Strength and High Shear Strain
,”
Mater. Des.
,
32
(
2
), pp.
512
524
.
14.
Satterfield
,
Z.
,
Kulkarni
,
N.
,
Fadel
,
G.
,
Li
,
G.
,
Coutris
,
N.
, and
Castanier
,
M. P.
,
2017
, “
Unit Cell Synthesis for Design of Materials With Targeted Nonlinear Deformation Response
,”
ASME J. Mech. Des.
,
139
(
12
), p.
121401
.
15.
Wang
,
H. V.
,
2005
,
A Unit Cell Approach for Lightweight Structure and Compliant Mechanism
,
Georgia Institute of Technology
,
Atlanta, GA
.
16.
Fazelpour
,
M.
, and
Summers
,
J. D.
,
2014
, “
Evolution of Meso-Structures for Non-Pneumatic Tire Development: A Case Study
,”
International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Buffalo, NY
,
ASME
Paper No. V02BT03A002.
17.
Bendsoe
,
M. P.
, and
Sigmund
,
O.
,
2004
,
Topology Optimization: Theory, Methods, and Applications
,
Springer-Verlag
,
Berlin, Heidelberg
.
18.
Kicinger
,
R.
,
Arciszewski
,
T.
, and
De Jong
,
K.
,
2005
, “
Evolutionary Computation and Structural Design: A Survey of the State-of-the-Art
,”
Comput. Struct.
,
83
(
23–24
), pp.
1943
1978
.
19.
Yoder
,
M.
,
Satterfield
,
Z.
,
Fazelpour
,
M.
,
Summers
,
J.
, and
Fadel
,
G.
,
2015
, “
Numerical Methods for the Design of Meso-Structures: A Comparative Review
,”
International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Boston, MA
,
ASME
Paper No. DETC2015-46289.
20.
Pedersen
,
P.
,
2000
, “
On Optimal Shapes in Materials and Structures
,”
Struct. Multidiscip. Optim.
,
19
(
3
), pp.
169
182
.
21.
Allaire
,
G.
,
2002
,
Shape Optimization by the Homogenization Method
,
Springer-Verlag
,
New York
.
22.
Cadman
,
J. E.
,
Zhou
,
S.
,
Chen
,
Y.
, and
Li
,
Q.
,
2013
, “
On Design of Multi-Functional Microstructural Materials
,”
J. Mater. Sci.
,
48
(
1
), pp.
51
66
.
23.
Czech
,
C.
,
Guarneri
,
P.
,
Thyagaraja
,
N.
, and
Fadel
,
G.
,
2015
, “
Systematic Design Optimization of the Metamaterial Shear Beam of a Nonpneumatic Wheel for Low Rolling Resistance
,”
ASME J. Mech. Des.
,
137
(
4
), p.
041404
.
24.
Sigmund
,
O.
,
1994
, “
Materials With Prescribed Constitutive Parameters: An Inverse Homogenization Problem
,”
Int. J. Solids Struct.
,
31
(
17
), pp.
2313
2329
.
25.
Sigmund
,
O.
,
1995
, “
Tailoring Materials With Prescribed Elastic Properties
,”
Mech. Mater.
,
20
(
4
), pp.
351
368
.
26.
Czech
,
C.
,
2012
,
Design of Meta-Materials Outside the Homogenization Limit Using Multiscale Analysis and Topology Optimization
,
Clemson University
,
Clemson, SC
.
27.
Hassani
,
B.
, and
Hinton
,
E.
,
1998
, “
A Review of Homogenization and Topology Optimization I-Homogenization Theory for Media With Periodic Structure
,”
Comput. Struct.
,
69
(
6
), pp.
707
717
.
28.
Chu
,
C.
,
Graf
,
G.
, and
Rosen
,
D. W.
,
2008
, “
Design for Additive Manufacturing of Cellular Structures
,”
Comput. Aided. Des. Appl.
,
5
(
5
), pp.
686
696
.
29.
Chu
,
J.
,
Engelbrecht
,
S.
,
Graf
,
G.
, and
Rosen
,
D. W.
,
2010
, “
A Comparison of Synthesis Methods for Cellular Structures With Application to Additive Manufacturing
,”
Rapid Prototyp. J.
,
16
(
4
), pp.
275
283
.
30.
Stowe
,
D.
,
Conger
,
K.
,
Summers
,
J. D.
,
Joseph
,
P.
,
Thompson
,
B.
, and
Matthews
,
J.
,
2008
, “
Designing a Lunar Wheel
,”
Proceedings of the ASME 2008 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
,
Brooklyn, NY
,
ASME
Paper No. DETC2008-49981.
31.
Fazelpour
,
M.
, and
Summers
,
J. D.
,
2013
, “
A Comparison of Design Approaches to Meso-Structure Development
,”
International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Portland, OR
,
ASME
Paper No. V03AT03A052.
32.
Shah
,
J. J.
,
1998
, “
Experimental Investigation of Progressive Idea Generation Techniques in Engineering Design
,”
Design Engineering Technical Conference
,
Atlanta, GA
, pp.
1
15
.
33.
Pahl
,
G.
,
Beitz
,
W.
,
Wallace
,
K.
, and
Blessing
,
L.
,
2007
,
Engineering Design: A Systematic Approach
,
Springer-Verlag London Limited
,
London
.
34.
Boothroyd
,
G.
,
Dewhurst
,
P.
, and
Knight
,
W. A.
,
2011
,
Product Design for Manufacture and Assembly
,
CRC Press
,
New York
.
35.
Greer
,
J. L.
,
Jensen
,
D. D.
,
Wood
,
J. J.
, and
Wood
,
K. L.
,
2002
, “
Guidelines for Product Evolution Using Effort Flow Analysis: Results of an Empirical Study
,”
International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Montreal, Canada
, pp.
139
150
.
36.
Perez
,
K. B.
,
Anderson
,
D. S.
, and
Wood
,
K. L.
,
2015
, “
Crowdsourced Design Principles for Leveraging the Capabilities of Additive Manufacturing
,”
International Conference of Engineering Design
,
Milan, Italy
, pp.
1
10
.
37.
Otto
,
K.
, and
Wood
,
K.
,
2001
,
Product Design
,
Prentice Hall
,
Englewood Cliffs, NJ
.
38.
Thyagaraja
,
N.
,
Shankar
,
P.
,
Fadel
,
G. M.
, and
Guarneri
,
P.
,
2011
, “
Optimizing the Shear Beam of a Non-Pneumatic Wheel for Low Rolling Resistance
,”
ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
WA, D.C.
, pp.
33
42
.
39.
Berglind
,
L. A.
,
Ju
,
J.
, and
Summers
,
J. D.
,
2012
, “
Aluminum Taper Bristle-Shaped Shear Band for a Nonpneumatic Tire
,” ,
40
(
3
), pp.
152
170
.
40.
Ju
,
J.
,
Ananthasayanam
,
B.
,
Summers
,
J. D.
, and
Joseph
,
P.
,
2010
, “
Design of Cellular Shear Bands of a Non-Pneumatic Tire—Investigation of Contact Pressure
,”
SAE Int. J. Passeng. Cars—Mech. Syst.
,
3
(
1
), pp.
598
606
.
41.
Fazelpour
,
M.
,
Shankar
,
P.
, and
Summers
,
J. D.
,
2016
, “
Developing Design Guidelines for Meso-Scaled Periodic Cellular Material Structures Under Shear Loading
,”
ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Charlotte, NC
,
ASME
Paper No. V02BT03A002.
42.
Fazelpour
,
M.
,
Summers
,
J. D.
, and
Bluoin
,
V. Y.
,
2016
, “
A Taxonomy For Representing Prismatic Cellular Materials
,”
ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Charlotte, NC
,
ASME
Paper No. V02BT03A001.
43.
Berglind
,
L.
,
Ju
,
J.
, and
Summers
,
J. D.
,
2010
, “
Method to Design Honeycombs for a Shear Flexible Structure
,”
SAE Int. J. Passeng. Cars—Mech. Syst.
,
3
(
1
), pp.
588
597
.
44.
Kolla
,
A.
,
Ju
,
J.
,
Summers
,
J.
,
Fadel
,
G.
, and
Ziegert
,
J.
,
2010
, “
Design of Chiral Honeycomb Meso-Structures for High Shear Flexure
,”
International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Montreal, Quebec, Canada
, pp.
43
49
.
45.
Ju
,
J.
,
Summers
,
J. D.
,
Ziegert
,
J.
, and
Fadel
,
G.
,
2012
, “
Design of Honeycombs for Modulus and Yield Strain in Shear
,”
ASME J. Eng. Mater. Technol.
,
134
(
1
), p.
011002
.
46.
Czech
,
C.
,
Guarneri
,
P.
,
Gibert
,
J.
, and
Fadel
,
G.
,
2012
, “
On the Accurate Analysis of Linear Elastic Meta-Material Properties for Use in Design Optimization Problems
,”
Compos. Sci. Technol.
,
72
(
5
), pp.
580
586
.
47.
Rhyne
,
T. B.
, and
Cron
,
S. M.
,
2006
, “
Development of a Non-Pneumatic Wheel
,”
Tire Sci. Technol.
,
34
(
3
), pp.
150
169
.
48.
Shankar
,
P.
,
Fazelpour
,
M.
, and
Summers
,
J.
,
2013
, “
An Energy-Based Design Approach for a Meso-Structure With High Shear Flexure
,”
ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
ASME
Paper No. V03AT03A051.
49.
Makarian
,
K.
, and
Santhanam
,
S.
,
2018
, “
Utility of 2D Finite Element Simulations for Predicting Effective Thermomechanical Properties of Particle-Reinforced Composites
,”
ASME International Mechanical Engineering Congress and Exposition
,
ASME
Paper No. V009T12A047.
50.
Silva
,
M. J.
,
Hayes
,
W. C.
, and
Gibson
,
L. J.
,
1995
, “
The Effects of Non-Periodic Microstructure on the Elastic Properties of Two-Dimensional Cellular Solids
,”
Int. J. Mech. Sci.
,
37
(
11
), pp.
1161
1177
.
51.
Wilson
,
C.
,
Phelan
,
K. T.
, and
Summers
,
J. D.
,
2014
, “
Development of a Design for Manufacturing Rules Database for Use in Instruction of DFM Practices
,”
International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Buffalo, NY
,
ASME
Paper No. DETC-34187.
52.
Rayate
,
V.
, and
Summers
,
J. D.
,
2012
, “
Representations: Reconciling Design for Disassembly Rules With Design for Manufacturing Rules
,”
ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Chicago, IL
, pp.
369
379
.
53.
Fazelpour
,
M.
,
2016
,
Developing Unit Cell Design Guidelines for Meso-Scale Periodic Cellular Materials
,
Clemson University
,
Clemson, SC
.
54.
Fazelpour
,
M.
,
Patel
,
A.
,
Shankar
,
P.
, and
Summers
,
J. D.
,
2017
, “
A User Study on Exploring the Sequencing of Unit Cell Design Guidelines
,”
ASME International Design Engineering Conferences and Computers and Information in Engineering Conference
,
ASME
Paper No. V007T06A027.
55.
Fazelpour
,
M.
,
Patel
,
A.
,
Shankar
,
P.
, and
Summers
,
J.
,
2019
, “
Design Guidelines as Ideation Tools: A User Study on Exploring the Subjectivity of Unit-Cell Design Guidelines
,”
Int. J. Des. Creat. Innov.
,
7
(
1–2
), pp.
50
69
.
You do not currently have access to this content.