Babcock,
C. D.
, 1983, “
Shell Stability,” ASME J. Appl. Mech.,
50(4b), pp. 935–940.

[CrossRef]
Samuelson,
L. Å.
, and
Eggwertz,
S.
, 1992, Shell Stability Handbook,
Elsevier Applied Science,
London.

Elishakoff,
I.
, 2014, Resolution of the Twentieth Century Conundrum in Elastic Stability,
World Scientific Publishing,
Singapore.

Zoelly,
R.
, 1915, “
Ueber ein knickungsproblem an der kugelschale,” Ph.D. thesis, ETH Zürich, Zürich, Switzerland.

Tsien,
H.-S.
, 1942, “
A Theory for the Buckling of Thin Shells,” J. Aeronaut. Sci.,
9(10), pp. 373–384.

[CrossRef]
Kaplan,
A.
, and
Fung,
Y. C.
, 1954, “
A Nonlinear Theory of Bending and Buckling of Thin Elastic Shallow Spherical Shells,” National Advisory Committee for Aeronautics, Washington, DC, Technical Note 3212.

Homewood,
R. H.
,
Brine,
A. C.
, and
Johnson,
A. E., Jr.
, 1961, “
Experimental Investigation of the Buckling Instability of Monocoque Shells,” Exp. Mech.,
1(3), pp. 88–96.

[CrossRef]
Seaman,
L.
, 1962, “
The Nature of Buckling in Thin Spherical Shells,” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.

Krenzke,
M. A.
, and
Kiernan,
T. J.
, 1963, “
Elastic Stability of Near-Perfect Shallow Spherical Shells,” AIAA J.,
1(12), pp. 2855–2857.

[CrossRef]
Carlson,
R. L.
,
Sendelbeck,
R. L.
, and
Hoff,
N. J.
, 1967, “
Experimental Studies of the Buckling of Complete Spherical Shells,” Exp. Mech.,
7(7), pp. 281–288.

[CrossRef]
Thompson,
J. M. T.
, 1960, “
Making of Thin Metal Shells for Model Stress Analysis,” J. Mech. Eng. Sci.,
2(2), pp. 105–108.

[CrossRef]
von Kármán,
T.
, and
Tsien,
H.-S.
, 1939, “
The Buckling of Spherical Shells by External Pressure,” J. Aeronaut. Sci.,
7(2), pp. 43–50.

[CrossRef]
von Kármán,
T.
,
Dunn,
L. G.
, and
Tsien,
H.-S.
, 1940, “
The Influence of Curvature on the Buckling Characteristics of Structures,” J. Aeronaut. Sci.,
7(7), pp. 276–289.

[CrossRef]
von Kármán,
T.
, and
Tsien,
H.-S.
, 1941, “
The Buckling of Thin Cylindrical Shells Under Axial Compression,” J. Aeronaut. Sci.,
8(8), pp. 303–312.

[CrossRef]
Koiter,
W. T.
, 1945, “
Over de stabiliteit van het elastisch evenwicht,” Ph.D. thesis, Delft University of Technology, Delft, The Netherlands.

Hutchinson,
J. W.
, and
Koiter,
W. T.
, 1970, “
Postbuckling Theory,” ASME Appl. Mech. Rev.,
23(12), pp. 1353–1366.

Bijlaard,
P. P.
, and
Gallagher,
R. H.
, 1960, “
Elastic Instability of a Cylindrical Shell Under Arbitrary Circumferential Variation of Axial Stress,” J. Aerosp. Sci.,
27(11), pp. 854–859.

[CrossRef]
Kobayashi,
S.
, 1968, “
The Influence of the Boundary Conditions on the Buckling Load of Cylindrical Shells Under Axial Compression,” J. Jpn. Soc. Aeronaut. Eng.,
16(170), pp. 74–82.

[CrossRef]
Almroth,
B. O.
, 1966, “
Influence of Edge Conditions on the Stability of Axially Compressed Cylindrical Shells,” AIAA J.,
4(1), pp. 134–140.

[CrossRef]
Budiansky,
B.
, and
Hutchinson,
J. W.
, 1972, “
Buckling of Circular Cylindrical Shells Under Axial Compression,” Contributions to the Theory of Aircraft Structures,
Delft University Press, The Netherlands, pp. 239–259.

Chen,
W. L.
, 1959, “
Effect of Geometrical Imperfection on the Elastic Buckling of Thin Shallow Spherical Shells,” Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA.

Lee,
A.
,
Brun,
P.-T.
,
Marthelot,
J.
,
Balestra,
G.
,
Gallaire,
F.
, and
Reis,
P. M.
, 2016, “
Fabrication of Slender Elastic Shells by the Coating of Curved Surfaces,” Nat. Commun.,
7, p. 11155.

[CrossRef] [PubMed]
Hutchinson,
J. W.
, “
Buckling of Spherical Shells Revisited,” (in press).

Thompson,
J. M. T.
, 1962, “
The Elastic Instability of a Complete Spherical Shell,” Aeronaut. Q.,
13(2), pp. 189–201.

[CrossRef]
Riks,
E.
, 1979, “
An Incremental Approach to the Solution of Snapping and Buckling Problems,” Int. J. Solids Struct.,
15(7), pp. 529–551.

[CrossRef]
Koga,
T.
, and
Hoff,
N. J.
, 1969, “
The Axisymmetric Buckling of Initially Imperfect Complete Spherical Shells,” Int. J. Solids Struct.,
5(7), pp. 679–697.

[CrossRef]
Hutchinson,
J. W.
, 1967, “
Imperfection Sensitivity of Externally Pressurized Spherical Shells,” ASME J. Appl. Mech.,
34(1), pp. 49–55.

[CrossRef]
Sanders,
J. L., Jr.
, 1963, “
Nonlinear Theories for Thin Shells,” Q. Appl. Math.,
21(1), pp. 21–36.

Koiter,
W. T.
, 1966, “
On the Nonlinear Theory of Thin Elastic Shells,” Proc. K. Ned. Akad. Wet., Ser. B,
69(1), pp. 1–54.

Koiter,
W. T.
, 1967, “
General Equations of Elastic Stability for Thin Shells,” Symposium on the Theory of Shells to Honor Lloyd Hamilton Donnett, pp. 187–230.

Budiansky,
B.
, 1968, “
Notes on Nonlinear Shell Theory,” ASME J. Appl. Mech.,
35(2), pp. 393–401.

[CrossRef]IMSL, 1994, “MATH/LIBRARY: Fortran Subroutines for Mathematical Applications—Visual Numerics,” Vol.
2,
IMSL,
Houston, TX.

Berke,
L.
, and
Carlson,
R. L.
, 1968, “
Experimental Studies of the Postbuckling Behavior of Complete Spherical Shells,” Exp. Mech.,
8(12), pp. 548–553.

[CrossRef]
Vaziri,
A.
, and
Mahadevan,
L.
, 2008, “
Localized and Extended Deformations of Elastic Shells,” Proc. Natl. Acad. Sci. USA,
105(23), pp. 7913–7918.

[CrossRef]
Nasto,
A.
,
Ajdari,
A.
,
Lazarus,
A.
,
Vaziri,
A.
, and
Reis,
P. M.
, 2013, “
Localization of Deformation in Thin Shells Under Indentation,” Soft Matter,
9(29), pp. 6796–6803.

[CrossRef]
Nasto,
A.
, and
Reis,
P. M.
, 2014, “
Localized Structures in Indented Shells: A Numerical Investigation,” ASME J. Appl. Mech.,
81(12), p. 121008.

[CrossRef]
Reis,
P. M.
, 2015, “
A Perspective on the Revival of Structural (In)Stability With Novel Opportunities for Function: From Buckliphobia to Buckliphilia,” ASME J. Appl. Mech.,
82(11), p. 111001.

[CrossRef]
Reis,
P.
,
Jaeger,
H.
, and
van Hecke,
M.
, 2015, “
Designer Matter: A Perspective,” Extreme Mech. Lett.,
5(5), pp. 25–29.

[CrossRef]
Hilburger,
M. W.
,
Nemeth,
M. P.
, and
Starnes,
J. H.
, 2006, “
Shell Buckling Design Criteria Based on Manufacturing Imperfection Signatures,” AIAA J.,
44(3), pp. 654–663.

[CrossRef]
Hilburger,
M. W.
, 2012, “
Developing the Next Generation Shell Buckling Design Factors and Technologies,” AIAA Paper No. 2012-1686.

Lidmar,
J.
,
Mirny,
L.
, and
Nelson,
D. R.
, 2003, “
Virus Shapes and Buckling Transitions in Spherical Shells,” Phys. Rev. E,
68(5), p. 051910.

[CrossRef]
Dinsmore,
A. D.
,
Hsu,
M. F.
,
Nikolaides,
M. G.
,
Marquez,
M.
,
Bausch,
A. R.
, and
Weitz,
D. A.
, 2002, “
Colloidosomes: Selectively Permeable Capsules Composed of Colloidal Particles,” Science,
298(5595), pp. 1006–1009.

[CrossRef] [PubMed]
Katifori,
E.
,
Alben,
S.
,
Cerda,
E.
,
Nelson,
D. R.
, and
Dumais,
J.
, 2010, “
Foldable Structures and the Natural Design of Pollen Grains,” Proc. Natl. Acad. Sci. USA,
107(17), pp. 7635–7639.

[CrossRef]