Accession Number:

ADA128138

Title:

A New Model for Thin Plates with Rapidly Varying Thickness. II. A Convergence Proof.

Descriptive Note:

Final rept.,

Corporate Author:

MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS

Personal Author(s):

Report Date:

1983-03-01

Pagination or Media Count:

44.0

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

Subject Categories:

  • Theoretical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE