The stochastic properties of a ‘dense’ distribution of microcracks in an elastic body are analyzed by using a multifield continuum model describing the influence of the microcracks on the gross mechanical behavior of the body. Numerical examples are presented: the strain localization phenomena that have been already found in deterministic bodies are confirmed, and similar patterns are shown to exist also for the stochastic moments of the displacements. In particular, the patterns in the portraits of skewness and kurtosis become stronger when the correlation of the distance between neighboring microcracks increases. Such a distance is considered as a uni-variate non-Gaussian random field. Strain localization is an indicator toward the irreversible growth and coalescence of microcracks.

Elastic microcracked bodies with random properties / Paolo Maria Mariano; Massimiliano Gioffrè; Furio Lorenzo Stazi; Giuliano Augusti. - In: PROBABILISTIC ENGINEERING MECHANICS. - ISSN 0266-8920. - STAMPA. - 19:(2004), pp. 127-147. [10.1016/j.probengmech.2003.11.016]

Elastic microcracked bodies with random properties

Paolo Maria Mariano
;
2004

Abstract

The stochastic properties of a ‘dense’ distribution of microcracks in an elastic body are analyzed by using a multifield continuum model describing the influence of the microcracks on the gross mechanical behavior of the body. Numerical examples are presented: the strain localization phenomena that have been already found in deterministic bodies are confirmed, and similar patterns are shown to exist also for the stochastic moments of the displacements. In particular, the patterns in the portraits of skewness and kurtosis become stronger when the correlation of the distance between neighboring microcracks increases. Such a distance is considered as a uni-variate non-Gaussian random field. Strain localization is an indicator toward the irreversible growth and coalescence of microcracks.
2004
19
127
147
Goal 3: Good health and well-being for people
Goal 9: Industry, Innovation, and Infrastructure
Goal 11: Sustainable cities and communities
Paolo Maria Mariano; Massimiliano Gioffrè; Furio Lorenzo Stazi; Giuliano Augusti
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/216030
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