TY - JOUR
T1 - Programmed buckling by controlled lateral swelling in a thin elastic sheet
AU - Dias, M. A.
AU - Hanna, J. A.
AU - Santangelo, C. D.
PY - 2011/9/16
Y1 - 2011/9/16
N2 - Recent experiments have imposed controlled swelling patterns on thin polymer films, which subsequently buckle into three-dimensional shapes. We develop a solution to the design problem suggested by such systems, namely, if and how one can generate particular three-dimensional shapes from thin elastic sheets by mere imposition of a two-dimensional pattern of locally isotropic growth. Not every shape is possible. Several types of obstruction can arise, some of which depend on the sheet thickness. We provide some examples using the axisymmetric form of the problem, which is analytically tractable.
AB - Recent experiments have imposed controlled swelling patterns on thin polymer films, which subsequently buckle into three-dimensional shapes. We develop a solution to the design problem suggested by such systems, namely, if and how one can generate particular three-dimensional shapes from thin elastic sheets by mere imposition of a two-dimensional pattern of locally isotropic growth. Not every shape is possible. Several types of obstruction can arise, some of which depend on the sheet thickness. We provide some examples using the axisymmetric form of the problem, which is analytically tractable.
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U2 - 10.1103/PhysRevE.84.036603
DO - 10.1103/PhysRevE.84.036603
M3 - Article
C2 - 22060518
AN - SCOPUS:80053150164
SN - 1063-651X
VL - 84
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
M1 - 036603
ER -