Applications of Generalized Derivatives to Viscoelasticity.

Abstract

Generalized derivatives of fractional order are used to construct stress-strain constitutive relations for viscoelastic materials, based on the observed sinusoidal behavior of the materials. The non-periodic behavior of one material is observed in the laboratory and compares favorably with the non-periodic behavior of the material predicted by its generalized derivative constitutive relation. Having established that the generalized derivative constitutive relation is an appropriate mathematical model for the general motion of at least one viscoelastic material, the tools for the analysis of structures of engineering interest are put forward. In particular, attention is focused on a finite element formulation of and solutions to the equations of motion for structures containing elastic and viscoelastic componets. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1979
Accession Number
ADA071726

Entities

People

  • Ronald L. Bagley

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Complex Variables
  • Differential Equations
  • Eigenvalues
  • Elastic Materials
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Frequency
  • Materials
  • Materials Laboratories
  • Mechanical Properties
  • Mechanics
  • Modal Analysis
  • Shear Modulus
  • Transfer Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.