Statistical Mechanics of Fracture and Embrittlement. 1. A Hard-Core Lattice Model

Abstract

The report presents the qualitative features of a first-order, hard- core lattice model for fracture and embrittlement. The specific statistical mechanical technique used involves the evaluation of the classical configurational partition function using the cell-cluster approximation scheme. The philosophy behind such a geometric approach, precedent for it, and some consequences of it are outlined. The formalism of the statistical mechanics of closed-packed lattices of hard-core systems which is employed is sketched The report alludes to specific calculations that are currently in progress using this formalism and comments on other prospects for study which are inclusive within the domain of applicability of the model.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1970
Accession Number
AD0874729

Entities

People

  • Russell D. Larsen

Organizations

  • Illinois Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Science
  • Continuum Mechanics
  • Crystal Lattices
  • Crystal Structure
  • Crystals
  • Engineering
  • Free Energy
  • Grain Boundaries
  • Materials
  • Mechanics
  • Particles
  • Physics Laboratories
  • Statistical Mechanics
  • Tensile Strength
  • Thermodynamic Properties
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Artificial Intelligence
  • Materials Science (Mechanical Engineering).
  • Materials Science and Engineering.