A New Model for Thin Plates with Rapidly Varying Thickness. II. A Convergence Proof.
Abstract
A recent paper presented a model for thin plates with rapidly varying thickness, distinguishing between thickness variation on a length scale longer than ('a < 1'), on the order of ('a = 1'), or shorter than ('a < 1') the mean thickness. We review the model here, and identify the 'a < 1' case as an asymptotic limit of the case 'a = 1' case, showing that the model correctly represents the solution of the equations of linear elasticity on the three-dimensional plate domain, asymptotically as the mean thickness tends to zero. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1983
- Accession Number
- ADA128138
Entities
People
- Michael Vogelius
- Robert V. Kohn
Organizations
- University of Maryland