Abstract

In this paper, we consider the interlayer slidable friction structures on soft-substrate as the hardcover book-like-laminated-plates with internal friction on the Winkler foundation. For a quasi-static problem, a detailed analysis of the bending response and energy dissipation is carried out for a three-point-supported layered plate on the Winker foundation. Our numerical investigations show that the hardcover, friction, and substrate have a great influence on bending response, and in particular, the friction can cause a considerable amount of energy dissipation within per loading–unloading cycle. The study is not only to predict the mechanical interactions behavior in-between of geometry, friction, elasticity, and substrate but also as a representative case to help finding some clue on the universal behaviors of interlayer slidable friction structures on soft-substrate.

References

1.
Poincloux
,
S.
,
Chen
,
T.
,
Audoly
,
B.
, and
Reis
,
P. M.
,
2021
, “
Bending Response of a Book With Internal Friction
,”
Phys. Rev. Lett.
,
126
(
21
), p.
218004
.
2.
Vinson
,
J. R.
,
2001
, “
Sandwich Structures
,”
ASME Appl. Mech. Rev.
,
54
(
3
), pp.
201
214
.
3.
Jackson
,
A.
,
Vincent
,
J. F.
, and
Turner
,
R.
,
1988
, “
The Mechanical Design of Nacre
,”
Proc. R. Soc. Lond. B Biol. Sci.
,
234
(
1277
), pp.
415
440
.
4.
Tang
,
Z.
,
Kotov
,
N.
, and
Magonov
,
S.
,
2003
, “
Nanostructured Artificial Nacre
,”
Nat. Mater.
,
2
(
6
), pp.
413
418
.
5.
Yin
,
Z.
,
Hannard
,
F.
, and
Barthelat
,
F.
,
2019
, “
Impact-Resistant Nacre-Like Transparent Materials
,”
Science
,
364
(
6447
), pp.
1260
1263
.
6.
Wang
,
G.
,
Dai
,
Z.
,
Xiao
,
J.
,
Feng
,
S.
,
Weng
,
C.
,
Liu
,
L.
,
Xu
,
Z.
,
Huang
,
R.
, and
Zhang
,
Z.
,
2019
, “
Bending of Multilayer van der Waals Materials
,”
Phys. Rev. Lett.
,
123
(
11
), p.
116101
.
7.
Bruet
,
B.
,
Song
,
J.
,
Boyce
,
M.
, and
Ortiz
,
C.
,
2008
, “
Contact Kinematics of Biomimetic Scales
,”
Nat. Mater.
,
7
, pp.
748
756
.
8.
Ali
,
H.
,
Ebrahimi
,
H.
, and
Ghosh
,
R.
,
2019
, “
Frictional Damping From Biomimetic Scales
,”
Sci. Rep.
,
9
, p.
14628
.
9.
Badrakhan
,
F.
,
1994
, “
Slip Damping in Vibrating Layered Beams and Leaf Springs: Energy Dissipated and Optimum Considerations
,”
J. Sound Vib.
,
174
(
1
), pp.
91
103
.
10.
Osipenko
,
M.
,
Nyashin
,
Y. I.
, and
Rudakov
,
R.
,
2003
, “
A Contact Problem in the Theory of Leaf Spring Bending
,”
Int. J. Solids Struct.
,
40
(
12
), pp.
3129
3136
.
11.
Hansen
,
S. W.
, and
Spies
,
R. D.
,
1997
, “
Structural Damping in Laminated Beams Due to Interfacial Slip
,”
J. Sound Vib.
,
204
(
2
), pp.
183
202
.
12.
Sedighi
,
H. M.
,
Shirazi
,
K. H.
, and
Naderan-Tahan
,
K.
,
2013
, “
Stick-Slip Vibrations of Layered Structures Undergoing Large Deflection and Dry Friction at the Interface
,”
ASME J. Vib. Acoust.
,
135
(
6
), p.
061006
.
13.
Sun
,
B.-H.
,
Dang
,
W.
,
Liu
,
X.-T.
, and
Guo
,
X.-L.
,
2022
, “
Bending Response and Energy Dissipation of Interlayered Slidable Friction Booklike-Plates
,”
Preprints
, p.
2022040178
.
14.
Sun
,
B.-H.
, and
Guo
,
X.-L.
,
2022
, “
Clamping Force of a Multilayered Cylindrical Clamp With Internal Friction
,”
Theor. Appl. Mech. Lett.
,
12
, p.
100355
.
15.
Alarcón
,
H.
,
Salez
,
T.
,
Poulard
,
C.
,
Bloch
,
J.-F.
, and
Restagno
,
F.
,
2016
, “
Self-amplification of Solid Friction in Interleaved Assemblies
,”
Phys. Rev. Lett.
,
116
(
1
), p.
015502
.
16.
Jawed
,
M. K.
,
Dieleman
,
P.
,
Audoly
,
B.
, and
Reis
,
P. M.
,
2015
, “
Untangling the Mechanics and Topology in the Frictional Response of Long Overhand Elastic Knots
,”
Phys. Rev. Lett.
,
115
(
11
), p.
118302
.
17.
Shlomai
,
H.
,
Kammer
,
D. S.
,
Adda-Bedia
,
M.
, and
Fineberg
,
J.
,
2020
, “
The Onset of the Frictional Motion of Dissimilar Materials
,”
Proc. Natl. Acad. Sci. U.S.A.
,
117
(
24
), pp.
13379
13385
.
18.
Audoly
,
B.
, and
Pomeau
,
Y.
,
2010
,
Elasticity and Geometry: From Hair Curls to the Non-linear Response of Shells
,
Oxford University Press
,
New York
.
You do not currently have access to this content.