Monte Carlo simulation of creep-fatigue small cracks based on a three-dimensional model of random fracture resistance of grain boundaries

Naoya Tada, Takayuki Kitamura, Ryuichi Ohtani

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Numerical simulation was conducted on the initiation and growth of multiple small cracks under creep fatigue condition based on a three-dimensional stochastic model. It was assumed in the model that (1) (quasi) three-dimensional polycrystal grains were numerically generated on the basis of an isotropic grain growth model; (2) the fracture driving force on each grain boundary was given as a function of the grain boundary's angle to the stress axis; (3) each grain had a different fracture resistance, and (4) cracks did not initiate and grow inside the stress relaxation zone of the preexistent crack. Crack density, angle of an initiated crack, crack propagation rate, and cumulative probability of crack length were examined by the simulation.

Original languageEnglish
Pages (from-to)708-714
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume56
Issue number524
Publication statusPublished - Apr 1990
Externally publishedYes

Fingerprint

Fracture toughness
Creep
Grain boundaries
Fatigue of materials
Cracks
Polycrystals
Stress relaxation
Stochastic models
Grain growth
Monte Carlo simulation
Crack propagation
Computer simulation

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

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AU - Tada, Naoya

AU - Kitamura, Takayuki

AU - Ohtani, Ryuichi

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Y1 - 1990/4

N2 - Numerical simulation was conducted on the initiation and growth of multiple small cracks under creep fatigue condition based on a three-dimensional stochastic model. It was assumed in the model that (1) (quasi) three-dimensional polycrystal grains were numerically generated on the basis of an isotropic grain growth model; (2) the fracture driving force on each grain boundary was given as a function of the grain boundary's angle to the stress axis; (3) each grain had a different fracture resistance, and (4) cracks did not initiate and grow inside the stress relaxation zone of the preexistent crack. Crack density, angle of an initiated crack, crack propagation rate, and cumulative probability of crack length were examined by the simulation.

AB - Numerical simulation was conducted on the initiation and growth of multiple small cracks under creep fatigue condition based on a three-dimensional stochastic model. It was assumed in the model that (1) (quasi) three-dimensional polycrystal grains were numerically generated on the basis of an isotropic grain growth model; (2) the fracture driving force on each grain boundary was given as a function of the grain boundary's angle to the stress axis; (3) each grain had a different fracture resistance, and (4) cracks did not initiate and grow inside the stress relaxation zone of the preexistent crack. Crack density, angle of an initiated crack, crack propagation rate, and cumulative probability of crack length were examined by the simulation.

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