Damping Capacity of Soil during Dynamic Loading. Report 1. Review of Mathematical Material Models

Abstract

To establish basic definitions and to serve as a reference for future theoretical and applied research efforts, the fundamental concepts of the theory of continuous mass media are reviewed, and the mathematical foundations of constitutive equations for isotropic and homogeneous materials are presented. The results are restricted to deformation for which isothermal behavior prevails and displacement gradients are small. Seven types of mathematical material models are discussed that can be used to describe the stress-strain-time behavior of physically nonlinear materials. The models are given in three- dimensional tensorial representation. The energy-dissipation properties of engineering materials are discussed within the framework of the above-mentioned mathematical material models, and the damping models used in engineering analyses of vibratory systems are summarized.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0742647

Entities

People

  • Behzad Rohani

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Bulk Modulus
  • Civil Engineering
  • Constitutive Equations
  • Continuum Mechanics
  • Differential Equations
  • Elastic Properties
  • Fluid Dynamics
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • Plastic Properties
  • Shear Modulus
  • Stress Strain Relations
  • Three Dimensional
  • Two Dimensional

Readers

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