Probabilistic Mesomechanical Fatigue Crack Nucleation Model

Author:

Tryon R. G.1,Cruse T. A.1

Affiliation:

1. Mechanical Engineering Department, Vanderbilt University, Nashville, TN 37235

Abstract

A probabilistic mesomechanical crack nucleation model is proposed to link the microstructural material heterogeneities to the statistical scatter in the macro structural response. The macrostructure is modeled as an ensemble of microelements. Cracks nucleate within the microelements and grow from the microelements to final fracture. Variations of the microelement properties are defined using statistical parameters. A micromechanical slip band decohesion model along with a Paris law crack growth model are used with first order reliability methods and Monte Carlo simulation to determine the distribution of fatigue life for the macrostructure. The modeled response is compared to trends in experimental observations from the literature.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference33 articles.

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2. Schijve J. , “Fatigue Predictions and Scatter,” Fat. Fract. Eng. Mat. Struct., Vol. 17, No. 4, 1994, pp. 381–396.

3. Sasaki S. , OchiY., IshiiA., HirofumlA., “Effects of Material Structures on Statistical Scatter in Initiation and Growth Lives of Surface Cracks and Failure Life in Fatigue,” JSME Inter. J., Series I, Vol. 32, No. 1, 1989, pp. 155–161.

4. Bastenaire, F. A., “New Method for the Statistical Evaluation of Constant Stress Amplitude Fatigue-Test Results,” Probabilistic Aspects of Fatigue, ed., Heller, R. A., ASTM STP 511, 1972, pp. 3–28.

5. Axelrad, D. R., “The Mechanics of Discrete Media,” Continuum Models of Discrete Systems (CMDS3), ed., Kro¨ner, E., Anthony, K.-H., Univ. Waterloo, 1980, pp. 3–34.

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