Accession Number : ADA184423

Title :   A Probabilistic Model of Brittle Crack Formation.

Descriptive Note : Interim rept. Apr 86-Mar 87,

Corporate Author : CASE-WESTERN RESERVE UNIV CLEVELAND OH

Personal Author(s) : Chudnovsky,Alexander ; Kunin,Boris ; Moet,Abdelsamie

PDF Url : ADA184423

Report Date : Jun 1987

Pagination or Media Count : 30

Abstract : Probability of a brittle crack formation in an elastic solid with fluctuating strength is considered. A set omega of all possible crack trajectories reflecting the fluctuation of the strength field is introduced. The probability P(X) that crack penetration depth exceeds X is expressed as a functional integral over omega of a conditional probability of the same event taking place along a particular path. Various techniques are considered to evaluate the integral. Under rather non-restrictive assumptions we reduce the integral to solving a diffusion type equation. Here a new characteristic of fracture process, 'crack diffusion coefficient', is introduced. Then an illustrative example is considered where the integration is reduced to solving an ordinary differential equation.

Descriptors :   *CRACK PROPAGATION, BRITTLENESS, PROBABILITY, MATHEMATICAL MODELS, CRYSTAL DEFECTS, DEFECTS(MATERIALS), WEIBULL DENSITY FUNCTIONS, MATHEMATICAL ANALYSIS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE