Programmed buckling by controlled lateral swelling in a thin elastic sheet

Marcelo A. Dias, James A. Hanna, Christian D. Santangelo

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.
Original languageUndefined/Unknown
Article number036603
Number of pages1
JournalPhysical Review E
Volume84
Issue number3
DOIs
Publication statusPublished - 16 Sept 2011

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