Path - Independent Integrals in Finite Elasticity and Inelasticity, with Body Forces, Inertia, and Arbitrary Crack - Face Conditions.

Abstract

In this paper, certain path-independent integrals, of relevance in the presence of cracks, in elastic and inelastic solids are considered. The hypothesized material constitutive properties include: (i) finite and infinitesimal elasticity, (ii) rate-independent incremental flow theory of elasto-plasticity, and (iii) rate-sensitive behaviour including elasto-viscoplasticity, and creep. In each case, finite deformations are considered, along with the effects of body forces, materials acceleration, and arbitrary traction/displacement conditions on the crack-face. Also the physical interpretations of each of the integrals either in terms of crack-tip energy release rates or simply energy-rate differences in two comparison cracked-bodies are explored. Several differences between the results in the present work and those currently considered well established in literature are pointed out and discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1981
Accession Number
ADA103079

Entities

People

  • Satya N. Atluri

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mechanics
  • Cartesian Coordinates
  • Civil Engineering
  • Computational Mechanics
  • Crack Propagation
  • Crack Tips
  • Elastic Properties
  • Engineering
  • Equations
  • Fracture (Mechanics)
  • Kinetic Energy
  • Materials
  • Mechanics
  • Plastic Properties
  • Steady State
  • Strain Rate
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).
  • Mechanical Engineering/Mechanics of Materials.