-
2
-
-
0000514542
-
Additamentum I de curvis elasticis, methodus inveniendi lineas curvas maximi minimivi proprietate gaudentes
-
L. Euler, Additamentum I de curvis elasticis, methodus inveniendi lineas curvas maximi minimivi proprietate gaudentes, Opera Omnia, 1, 24, 245 (1744).
-
(1744)
Opera Omnia, 1
, vol.24
, pp. 245
-
-
Euler, L.1
-
4
-
-
34548186125
-
Pattern Transformation Triggered by Deformation
-
T. Mullin, S. Deschanel, K. Bertoldi, and M.C. Boyce, Pattern Transformation Triggered by Deformation, Phys. Rev. Lett. 99, 084301 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.084301
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 084301
-
-
Mullin, T.1
Deschanel, S.2
Bertoldi, K.3
Boyce, M.C.4
-
5
-
-
76649124880
-
Negative Poisson's ratio behavior induced by an elastic instability
-
K. Bertoldi, P.M. Reis, S. Willshaw, and T. Mullin, Negative Poisson's ratio behavior induced by an elastic instability, Adv. Mater. 22, 361 (2010). ADVMEW 0935-9648 10.1002/adma.200901956
-
(2010)
Adv. Mater.
, vol.22
, pp. 361
-
-
Bertoldi, K.1
Reis, P.M.2
Willshaw, S.3
Mullin, T.4
-
6
-
-
44649151065
-
Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures
-
K. Bertoldi, M. Boyce, S. Deschanel, S. Prange, and T. Mullin, Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures, J. Mech. Phys. Solids 56, 2642 (2008). JMPSA8 0022-5096 10.1016/j.jmps.2008.03.006
-
(2008)
J. Mech. Phys. Solids
, vol.56
, pp. 2642
-
-
Bertoldi, K.1
Boyce, M.2
Deschanel, S.3
Prange, S.4
Mullin, T.5
-
7
-
-
84860328961
-
Compaction through buckling in 2D periodic, soft and porous structures: Effect of pore shape
-
J.T.B. Overvelde, S. Shan, and K. Bertoldi, Compaction through buckling in 2D periodic, soft and porous structures: Effect of pore shape, Adv. Mater. 24, 2337 (2012). ADVMEW 0935-9648 10.1002/adma.201104395
-
(2012)
Adv. Mater.
, vol.24
, pp. 2337
-
-
Overvelde, J.T.B.1
Shan, S.2
Bertoldi, K.3
-
8
-
-
84908190333
-
Programmable Mechanical Metamaterials
-
B. Florijn, C. Coulais, and M. van Hecke, Programmable Mechanical Metamaterials, Phys. Rev. Lett. 113, 175503 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.175503
-
(2014)
Phys. Rev. Lett.
, vol.113
, pp. 175503
-
-
Florijn, B.1
Coulais, C.2
Van Hecke, M.3
-
9
-
-
84898893785
-
Low porosity metallic periodic structures with negative Poisson's ratio
-
M. Taylor, L. Francesconi, M. Gerendás, A. Shanian, C. Carson, and K. Bertoldi, Low porosity metallic periodic structures with negative Poisson's ratio, Adv. Mater. 26, 2365 (2014). ADVMEW 0935-9648 10.1002/adma.201304464
-
(2014)
Adv. Mater.
, vol.26
, pp. 2365
-
-
Taylor, M.1
Francesconi, L.2
Gerendás, M.3
Shanian, A.4
Carson, C.5
Bertoldi, K.6
-
10
-
-
6344258584
-
Elastic instabilities in rubber
-
A.N. Gent, Elastic instabilities in rubber, Int. J. Nonlinear Mech. 40, 165 (2005). IJNMAG 0020-7462 10.1016/j.ijnonlinmec.2004.05.006
-
(2005)
Int. J. Nonlinear Mech.
, vol.40
, pp. 165
-
-
Gent, A.N.1
-
11
-
-
34547949538
-
Kink Instability of a Highly Deformable Elastic Cylinder
-
A. Ghatak and A.L. Das, Kink Instability of a Highly Deformable Elastic Cylinder, Phys. Rev. Lett. 99, 076101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.076101
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 076101
-
-
Ghatak, A.1
Das, A.L.2
-
12
-
-
79952425923
-
Unfolding the Sulcus
-
E. Hohlfeld and L. Mahadevan, Unfolding the Sulcus, Phys. Rev. Lett. 106, 105702 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.105702
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 105702
-
-
Hohlfeld, E.1
Mahadevan, L.2
-
13
-
-
84863694348
-
Scale and Nature of Sulcification Patterns
-
E. Hohlfeld and L. Mahadevan, Scale and Nature of Sulcification Patterns, Phys. Rev. Lett. 109, 025701 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.025701
-
(2012)
Phys. Rev. Lett.
, vol.109
, pp. 025701
-
-
Hohlfeld, E.1
Mahadevan, L.2
-
15
-
-
44249087635
-
Stress and fold localization in thin elastic membranes
-
L. Pocivavsek, R. Dellsy, A. Kern, S. Johnson, B. Lin, K.Y.C. Lee, and E. Cerda, Stress and fold localization in thin elastic membranes, Science 320, 912 (2008). SCIEAS 0036-8075 10.1126/science.1154069
-
(2008)
Science
, vol.320
, pp. 912
-
-
Pocivavsek, L.1
Dellsy, R.2
Kern, A.3
Johnson, S.4
Lin, B.5
Lee, K.Y.C.6
Cerda, E.7
-
16
-
-
80053987964
-
Compression Induced Folding of a Sheet: An Integrable System
-
H. Diamant and T.A. Witten, Compression Induced Folding of a Sheet: An Integrable System, Phys. Rev. Lett. 107, 164302 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.164302
-
(2011)
Phys. Rev. Lett.
, vol.107
, pp. 164302
-
-
Diamant, H.1
Witten, T.A.2
-
17
-
-
79961149672
-
Localized buckling of a floating elastica
-
B. Audoly, Localized buckling of a floating elastica, Phys. Rev. E 84, 011605 (2011). PRESCM 1539-3755 10.1103/PhysRevE.84.011605
-
(2011)
Phys. Rev. E
, vol.84
, pp. 011605
-
-
Audoly, B.1
-
18
-
-
0034216714
-
Constitutive models of rubber elasticity: A review
-
M.C. Boyce and E.M. Arruda, Constitutive models of rubber elasticity: A review, Rubber Chem. Technol. 73, 504 (2000). RCTEA4 0035-9475 10.5254/1.3547602
-
(2000)
Rubber Chem. Technol.
, vol.73
, pp. 504
-
-
Boyce, M.C.1
Arruda, E.M.2
-
20
-
-
84999305039
-
-
See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.115.044301 for details about the numerical scheme.
-
-
-
-
21
-
-
84999305039
-
-
Clearly this expansion cannot be extended down to (Equation presented). See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.115.044301 for the details about the calculation of (Equation presented) in the simple case of uniaxial compression.
-
-
-
-
23
-
-
0035834460
-
Behaviour of the extensible elastica solution
-
A. Magnusson, M. Ristinmaa, and C. Ljung, Behaviour of the extensible elastica solution, Int. J. Solids Struct. 38, 8441 (2001). IJSOAD 0020-7683 10.1016/S0020-7683(01)00089-0
-
(2001)
Int. J. Solids Struct.
, vol.38
, pp. 8441
-
-
Magnusson, A.1
Ristinmaa, M.2
Ljung, C.3
-
24
-
-
84879690394
-
Exact solutions for the buckling and postbuckling of shear-deformable beams
-
A. Humer, Exact solutions for the buckling and postbuckling of shear-deformable beams, Acta Mech. 224, 1493 (2013). AMHCAP 0001-5970 10.1007/s00707-013-0818-1
-
(2013)
Acta Mech.
, vol.224
, pp. 1493
-
-
Humer, A.1
-
25
-
-
84999305039
-
-
See the Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.115.044301 for movies.
-
-
-
-
27
-
-
0042191911
-
Optimal design of a bistable switch
-
M.P. Brenner, J.H. Lang, J. Li, J. Qiu, and A.H. Slocum, Optimal design of a bistable switch, Proc. Natl. Acad. Sci. U.S.A. 100, 9663 (2003). PNASA6 0027-8424 10.1073/pnas.1531507100
-
(2003)
Proc. Natl. Acad. Sci. U.S.A.
, vol.100
, pp. 9663
-
-
Brenner, M.P.1
Lang, J.H.2
Li, J.3
Qiu, J.4
Slocum, A.H.5
-
28
-
-
84862086387
-
On the practicability of pentamode mechanical metamaterials
-
M. Kadic, T. Bückmann, N. Stenger, M. Thiel, and M. Wegener, On the practicability of pentamode mechanical metamaterials, Appl. Phys. Lett. 100, 191901 (2012). APPLAB 0003-6951 10.1063/1.4709436
-
(2012)
Appl. Phys. Lett.
, vol.100
, pp. 191901
-
-
Kadic, M.1
Bückmann, T.2
Stenger, N.3
Thiel, M.4
Wegener, M.5
-
29
-
-
84888035666
-
Metamaterials beyond electromagnetism
-
M. Kadic, T. Bückmann, R. Schittny, and M. Wegener, Metamaterials beyond electromagnetism, Rep. Prog. Phys. 76, 126501 (2013). RPPHAG 0034-4885 10.1088/0034-4885/76/12/126501
-
(2013)
Rep. Prog. Phys.
, vol.76
, pp. 126501
-
-
Kadic, M.1
Bückmann, T.2
Schittny, R.3
Wegener, M.4
-
30
-
-
84911421713
-
Optimal Fractal-Like Hierarchical Honeycombs
-
R. Oftadeh, B. Haghpanah, D. Vella, A. Boudaoud, and A. Vaziri, Optimal Fractal-Like Hierarchical Honeycombs, Phys. Rev. Lett. 113, 104301 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.104301
-
(2014)
Phys. Rev. Lett.
, vol.113
, pp. 104301
-
-
Oftadeh, R.1
Haghpanah, B.2
Vella, D.3
Boudaoud, A.4
Vaziri, A.5
-
31
-
-
84903823876
-
Harnessing Buckling to Design Tunable Locally Resonant Acoustic Metamaterials
-
P. Wang, F. Casadei, S. Shan, J.C. Weaver, and K. Bertoldi, Harnessing Buckling to Design Tunable Locally Resonant Acoustic Metamaterials, Phys. Rev. Lett. 113, 014301 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.113.014301
-
(2014)
Phys. Rev. Lett.
, vol.113
, pp. 014301
-
-
Wang, P.1
Casadei, F.2
Shan, S.3
Weaver, J.C.4
Bertoldi, K.5
-
32
-
-
84893734717
-
Relating pore shape to the nonlinear response of periodic elastomeric structures
-
J.T.B. Overvelde and K. Bertoldi, Relating pore shape to the nonlinear response of periodic elastomeric structures, J. Mech. Phys. Solids 64, 351 (2014). JMPSA8 0022-5096 10.1016/j.jmps.2013.11.014
-
(2014)
J. Mech. Phys. Solids
, vol.64
, pp. 351
-
-
Overvelde, J.T.B.1
Bertoldi, K.2
-
33
-
-
84859966320
-
Buckling-induced encapsulation of structured elastic shells under pressure
-
J. Shim, C. Perdigou, E.R. Chen, K. Bertoldi, and P.M. Reis, Buckling-induced encapsulation of structured elastic shells under pressure, Proc. Natl. Acad. Sci. U.S.A. 109, 5978 (2012). PNASA6 0027-8424 10.1073/pnas.1115674109
-
(2012)
Proc. Natl. Acad. Sci. U.S.A.
, vol.109
, pp. 5978
-
-
Shim, J.1
Perdigou, C.2
Chen, E.R.3
Bertoldi, K.4
Reis, P.M.5
-
34
-
-
84884907704
-
3D soft metamaterials with negative Poisson's ratio
-
S. Babaee, J. Shim, J.C. Weaver, N. Patel, and K. Bertoldi, 3D soft metamaterials with negative Poisson's ratio, Adv. Mater. 25, 5044 (2013). ADVMEW 0935-9648 10.1002/adma.201301986
-
(2013)
Adv. Mater.
, vol.25
, pp. 5044
-
-
Babaee, S.1
Shim, J.2
Weaver, J.C.3
Patel, N.4
Bertoldi, K.5
-
35
-
-
84917705993
-
Engineering the shape and structure of materials by fractal cut
-
Y. Cho, et al. Engineering the shape and structure of materials by fractal cut, Proc. Natl. Acad. Sci. U.S.A. 111, 17390 (2014). PNASA6 0027-8424 10.1073/pnas.1417276111
-
(2014)
Proc. Natl. Acad. Sci. U.S.A.
, vol.111
, pp. 17390
-
-
Cho, Y.1
-
36
-
-
10644284474
-
Materials with structural hierarchy
-
R. Lakes, Materials with structural hierarchy, Nature (London) 361, 511 (1993). NATUAS 0028-0836 10.1038/361511a0
-
(1993)
Nature (London)
, vol.361
, pp. 511
-
-
Lakes, R.1
|