You need JavaScript to view this

Modeling of multibranched crosslike crack growth

Technical Report:

Abstract

Multibranched crosslike crack patterns formed in concentrically loaded square plates are studied in terms of fractal geometry, where the associated fractal dimension d{sub f} is calculated for their characterization. We apply simplest deterministic and stochastic approaches at a phenomenological level in an attempt to find generic features as guidelines for future experimental and theoretical work. The deterministic model for fracture propagation we apply, which is a variant of the discretized Laplace approach for randomly ramified fractal cracks proposed by Takayasu, reproduces the basic ingredients of observed complex fracture patters. The stochastic model, although is not strictly a model for crack propagation, is based on diffusion-limited aggregation (DLA) for fractal growth and produces slightly more realistic assessment of the crosslike growth of the cracks in asymmetric multibranches. Nevertheless, this simple ad-hoc DLA-version for modeling the present phenomena as well as the deterministic approach for fracture propagation give fractal dimensionality for the fracture pattern in accord with our estimations made from recent experimental data. It is found that there is a crossover of two fractal dimensions, corresponding to the core (higher d{sub f}) and multibranched crosslike (lower D{sub f}) regions, that contains loops, that are interpreted as representing different symmetry regions within  More>>
Publication Date:
Jun 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/138
Reference Number:
SCA: 665000; PA: AIX-22:081834; SN: 91000608925
Resource Relation:
Other Information: PBD: Jun 1991
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CRACK PROPAGATION; FRACTALS; SIMULATION; STOCHASTIC PROCESSES; 665000; PHYSICS OF CONDENSED MATTER
OSTI ID:
10105082
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92609236; TRN: XA9129659081834
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
30 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Canessa, E, and Tanatar, B. Modeling of multibranched crosslike crack growth. IAEA: N. p., 1991. Web.
Canessa, E, & Tanatar, B. Modeling of multibranched crosslike crack growth. IAEA.
Canessa, E, and Tanatar, B. 1991. "Modeling of multibranched crosslike crack growth." IAEA.
@misc{etde_10105082,
title = {Modeling of multibranched crosslike crack growth}
author = {Canessa, E, and Tanatar, B}
abstractNote = {Multibranched crosslike crack patterns formed in concentrically loaded square plates are studied in terms of fractal geometry, where the associated fractal dimension d{sub f} is calculated for their characterization. We apply simplest deterministic and stochastic approaches at a phenomenological level in an attempt to find generic features as guidelines for future experimental and theoretical work. The deterministic model for fracture propagation we apply, which is a variant of the discretized Laplace approach for randomly ramified fractal cracks proposed by Takayasu, reproduces the basic ingredients of observed complex fracture patters. The stochastic model, although is not strictly a model for crack propagation, is based on diffusion-limited aggregation (DLA) for fractal growth and produces slightly more realistic assessment of the crosslike growth of the cracks in asymmetric multibranches. Nevertheless, this simple ad-hoc DLA-version for modeling the present phenomena as well as the deterministic approach for fracture propagation give fractal dimensionality for the fracture pattern in accord with our estimations made from recent experimental data. It is found that there is a crossover of two fractal dimensions, corresponding to the core (higher d{sub f}) and multibranched crosslike (lower D{sub f}) regions, that contains loops, that are interpreted as representing different symmetry regions within the square plates of finite size. (author). 26 refs, 5 figs.}
place = {IAEA}
year = {1991}
month = {Jun}
}