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Modeling the Behavior of Heat-Shrinkable Thin Films |
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| Authors: | Pavel Bělík Bob Jennings Mikhail M. Shvartsman Cristina U. Thomas |
| Affiliation: | 1. Mathematics Department, CB 93, Augsburg College, 2211 Riverside Ave, Minneapolis, MN, 55454, USA 2. Structural Adhesives BTO, 3M Center Bldg 230-1G-06, Maplewood, MN, 55144, USA 3. Department of Mathematics, University of St. Thomas, 2115 Summit Avenue, St. Paul, MN, 55105, USA 4. Safety, Security and Protection Services Business Laboratory, 3M Center Bldg 201-2S-05, Maplewood, MN, 55144, USA |
| Abstract: | We describe an asymptotic model for the behavior of PET-like heat-shrinkable thin films that includes both membrane and bending energies when the thickness of the film is positive. We compare the model to Koiter’s shell model and to models in which a membrane energy or a bending energy are obtained by Γ-convergence techniques. We also provide computational results for various temperature distributions applied to the films. |
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