Load Diffusion in Linear and Nonlinear Solid Mechanics

Abstract

The asymptotic behavior of solutions in solid mechanics is a broad topic of considerable mathematical and technological interest. Safe efficient operation of aircraft structures and components requires accurate assessment of the rate of diffusion of end effects, particularly for anisotropic and composite materials. This requires study of the spatial decay of solutions of elliptic partial differential equations (or systems of equations). In this research. we have investigated a sequence of boundary-value problems for second-order and fourth-order elliptic partial differential equations. Both linear and nonlinear, isotropic and anisotropic problems have been considered. The results of such investigations have widespread impact on the AFOSR mission. In particular, rigorously obtained asymptotic estimates for the rate of load diffusion in solids are immediately applicable in engineering analysis and design and have been used, for example, by the Boeing Commercial Airplane Group in application to composite structures.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2001
Accession Number
ADA398141

Entities

People

  • Cornelius O. Horgan

Organizations

  • University of Virginia

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Human Systems
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aircraft Equipment
  • Aircraft Industry
  • Aircrafts
  • Airframes
  • Applied Mathematics
  • Boundary Value Problems
  • Commercial Aircraft
  • Composite Materials
  • Composite Structures
  • Differential Equations
  • Engineering
  • Equations
  • Fuselages
  • Materials
  • Materials Science
  • Mechanics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Health Monitoring of Composite Structures.
  • Technical Research and Report Writing.