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We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as… Click to show full abstract
We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gravity and surface tension. By studying a suitable Gamma-limit, we identify a parameter regime in which the sheet is inextensible, and the bending energy and weight of the sheet are negligible. In this regime, the problem simplifies to one with a simple and explicit solution.
Keywords:
problem modeling;
variational problem;
sheet;
elastic sheet;
lifted one;
problem
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!