A Theory of Damage in Brittle and Cementitious Materials. Part 1

Abstract

The purpose of the present study was to develop a local three- dimensional continuum theory of damage. Two materials were investigated: grey cast iron and plane concrete. The basic concepts (such as the form of the free energy in the presence of damage) were tested on cast iron, which is a brittle substantially elastic material. This approach was very fruitful. The free energy representation proved correct in view of the excellent agreement between the calculated and experimental results in elastic domains with a sharp geometric discontinuity (a crack). Since in endochronic plasticity the free energy is the basis for the derivation of the constitutive equation, this result was instrumental in the development of a damage sensitive constitutive theory for concrete where the interaction between plasticity and damage posed complex questions. Damage theory, Brittle fracture, Micromechanics, Softening, Concrete, Cast iron.

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Document Details

Document Type
Technical Report
Publication Date
Jul 17, 1989
Accession Number
ADA212940

Entities

People

  • K. C. Valanis
  • Khalid Khan

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Composite Materials
  • Constitutive Equations
  • Contracts
  • Engineering
  • Finite Element Analysis
  • Materials
  • Mechanical Properties
  • Mechanical Working
  • Mechanics
  • Modulus Of Elasticity
  • Plastic Explosives
  • Plastic Properties
  • Poisson Ratio
  • Stress Strain Relations
  • Stresses
  • Three Dimensional

Readers

  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).
  • Structural Health Monitoring of Composite Structures.