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Swelling and folding as mechanisms o...

Dias, Marcelo A.

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Swelling and folding as mechanisms of 3D shape formation in thin elastic sheets.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Swelling and folding as mechanisms of 3D shape formation in thin elastic sheets./
Author:	Dias, Marcelo A.
Description:	134 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-04(E), Section: B.
Contained By:	Dissertation Abstracts International74-04B(E).
Subject:	Physics, Condensed Matter. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3545917
ISBN:	9781267786227

Swelling and folding as mechanisms of 3D shape formation in thin elastic sheets.
Dias, Marcelo A.

Swelling and folding as mechanisms of 3D shape formation in thin elastic sheets. - 134 p.

Source: Dissertation Abstracts International, Volume: 74-04(E), Section: B.

Thesis (Ph.D.)--University of Massachusetts Amherst, 2012.

We work with two different mechanisms to generate geometric frustration on thin elastic sheets; isotropic differential growth and folding. We describe how controlled growth and prescribing folding patterns are useful tools for designing three-dimensional objects from information printed in two dimensions. The first mechanism is inspired by the possibility to control shapes by swelling polymer films, where we propose a solution for the problem of shape formation by asking the question, "what 2D metric should be prescribed to achieve a given 3D shape?"', namely the reverse problem. We choose two different types of initial configurations of sheets, disk-like with one boundary and annular with two boundaries. We demonstrate our technique by choosing four examples of 3D axisymmetric shapes and finding the respective swelling factors to achieve the desired shape. Second, we present a mechanical model for a single curved fold that explains both the buckled shape of a closed fold and its mechanical stiffness. The buckling arises from the geometrical frustration between the prescribed crease angle and the bending energy of the sheet away from the crease. This frustration increases as the sheet's area increases. Stiff folds result in creases with constant space curvature while softer folds inherit the broken symmetry of the buckled shape. We extend the application of our numerical model to show the potential to study multiple fold structures.

ISBN: 9781267786227Subjects--Topical Terms:

1018743
Physics, Condensed Matter.

Swelling and folding as mechanisms of 3D shape formation in thin elastic sheets.
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020 $a 9781267786227
035 $a (MiAaPQ)AAI3545917
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040 $a MiAaPQ $c MiAaPQ
100 1 $a Dias, Marcelo A. $3 2106361
245 1 0 $a Swelling and folding as mechanisms of 3D shape formation in thin elastic sheets.
300 $a 134 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-04(E), Section: B.
500 $a Adviser: Christian D. Santangelo.
502 $a Thesis (Ph.D.)--University of Massachusetts Amherst, 2012.
520 $a We work with two different mechanisms to generate geometric frustration on thin elastic sheets; isotropic differential growth and folding. We describe how controlled growth and prescribing folding patterns are useful tools for designing three-dimensional objects from information printed in two dimensions. The first mechanism is inspired by the possibility to control shapes by swelling polymer films, where we propose a solution for the problem of shape formation by asking the question, "what 2D metric should be prescribed to achieve a given 3D shape?"', namely the reverse problem. We choose two different types of initial configurations of sheets, disk-like with one boundary and annular with two boundaries. We demonstrate our technique by choosing four examples of 3D axisymmetric shapes and finding the respective swelling factors to achieve the desired shape. Second, we present a mechanical model for a single curved fold that explains both the buckled shape of a closed fold and its mechanical stiffness. The buckling arises from the geometrical frustration between the prescribed crease angle and the bending energy of the sheet away from the crease. This frustration increases as the sheet's area increases. Stiff folds result in creases with constant space curvature while softer folds inherit the broken symmetry of the buckled shape. We extend the application of our numerical model to show the potential to study multiple fold structures.
590 $a School code: 0118.
650 4 $a Physics, Condensed Matter. $3 1018743
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Physics, Theory. $3 1019422
690 $a 0611
690 $a 0346
690 $a 0753
710 2 $a University of Massachusetts Amherst. $b Physics. $3 2091997
773 0 $t Dissertation Abstracts International $g 74-04B(E).
790 $a 0118
791 $a Ph.D.
792 $a 2012
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3545917