A Thin Elastic Membrane Conformed to a Soft and Rough Substrate Subjected to Stretching/Compression
نویسندگان
چکیده
Nanshu Lu Department of Aerospace Engineering and Engineering Mechanics, Center for Mechanics of Solids, Structures and Materials, The University of Texas at Austin, 210 E. 24th Street, Austin, TX 78712; Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, TX 78712; Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX 78712; Texas Materials Institute, The University of Texas at Austin, Austin, TX 78712 e-mail: [email protected] A Thin Elastic Membrane Conformed to a Soft and Rough Substrate Subjected to Stretching/Compression
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Equilibrium shapes of planar elastic membranes.
Using a rod theory formulation, we derive equations of state for a thin elastic membrane subjected to several different boundary conditions-clamped, simply supported, and periodic. The former is applicable to membranes supported on a softer substrate and subjected to uniaxial compression. We show that a wider family of quasistatic equilibrium shapes exist beyond the previously obtained analytic...
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