A Brief Review of Elasticity and Viscoelasticity

Abstract

There are a number of interesting applications where modeling elastic and/or viscoelastic materials is fundamental, including uses in civil engineering, the food industry land mine detection and ultrasonic imaging. Here we provide an overview of the subject for both elastic and viscoelastic materials in order to understand the behavior of these materials. We begin with a brief introduction of some basic terminology and relationships in continuum mechanics, and a review of equations of motion in a continuum in both Lagrangian and Eulerian forms. To complete the set of equations, we then proceed to present and discuss a number of specific forms for the constitutive relationships between stress and strain proposed in the literature for both elastic and viscoelastic materials. In addition, we discuss some applications for these constitutive equations. Finally, we give a computational example describing the motion of soil experiencing dynamic loading by incorporating a specific form of constitutive equation into the equation of motion.

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Document Details

Document Type
Technical Report
Publication Date
May 27, 2010
Accession Number
ADA556870

Entities

People

  • H. Thomas Banks
  • Shuhua Hu
  • Zackary R. Kenz

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Civil Engineering
  • Computational Science
  • Constitutive Equations
  • Continuum Mechanics
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Materials
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Physical Properties
  • Stress Strain Relations
  • Stresses

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design