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

Report Date:

1987-06-01

Pagination or Media Count:

30.0

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 PX 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.

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE