University of Minnesota Digital Conservancy >
University of Minnesota - Twin Cities >
School of Mathematics >
Please use this identifier to cite or link to this item:
|Title: ||Reduced theories in nonlinear elasticity|
|Authors: ||Lewicka, Marta|
|Keywords: ||non-Euclidean plates|
calculus of variations
|Issue Date: ||9-Jun-2010|
|Abstract: ||The purpose of this note is to report on the recent development concerning
the analysis and the rigorous derivation of
thin film models for structures with nontrivial geometry.
This includes: (i) shells with mid-surface of arbitrary curvature, and
(ii) plates exhibiting residual stress at free equilibria.
In the former setting, we derive a full range of models, some of them
previously absent from the physics and engineering literature.
The latter phenomenon has been observed in
different contexts: growing leaves,
torn plastic sheets and specifically engineered polymer gels.
After reviewing available results, we
list open problems with a promising angle of approach.|
|Appears in Collections:||Preprints|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.