Relationship between probabilistic characteristics of microscopic and macroscopic strength within the stochastic phase-field model

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  • Ocean University of China
  • Tongji University
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Original languageEnglish
Pages (from-to)776-789
Number of pages14
JournalApplied mathematical modelling
Volume123
Early online date25 Jul 2023
Publication statusPublished - Nov 2023

Abstract

Stochastic phase-field models can reproduce the nonlinearity and randomness of the mechanical behavior of quasi-brittle materials within a unified macroscopic continuum framework. To study the probabilistic characteristics of microscopic and macroscopic strength within the stochastic phase-field model and their relationship, a series of numerical results of a specimen subjected to uniaxial tension using a stochastic phase-field model is presented. The probabilistic characteristics of the macroscopic responses and the underlying mechanisms are discussed. Based on the numerical results, a probabilistic model is developed, which can effectively determine the probability information of the macroscopic structural strength of quasi-brittle uniaxial tensile specimens. In particular, the interaction of several characteristic scales involved in the stochastic phase-field model can be demonstrated.

Keywords

    Characteristic scales, First-passage probability, Probabilistic failure, Quasi-brittle solids, Stochastic phase-field model

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Cite this

Relationship between probabilistic characteristics of microscopic and macroscopic strength within the stochastic phase-field model. / Hai, Lu; Li, Jie; Wriggers, Peter.

In: Applied mathematical modelling, Vol. 123, 11.2023, p. 776-789.

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title = "Relationship between probabilistic characteristics of microscopic and macroscopic strength within the stochastic phase-field model",
abstract = "Stochastic phase-field models can reproduce the nonlinearity and randomness of the mechanical behavior of quasi-brittle materials within a unified macroscopic continuum framework. To study the probabilistic characteristics of microscopic and macroscopic strength within the stochastic phase-field model and their relationship, a series of numerical results of a specimen subjected to uniaxial tension using a stochastic phase-field model is presented. The probabilistic characteristics of the macroscopic responses and the underlying mechanisms are discussed. Based on the numerical results, a probabilistic model is developed, which can effectively determine the probability information of the macroscopic structural strength of quasi-brittle uniaxial tensile specimens. In particular, the interaction of several characteristic scales involved in the stochastic phase-field model can be demonstrated.",
keywords = "Characteristic scales, First-passage probability, Probabilistic failure, Quasi-brittle solids, Stochastic phase-field model",
author = "Lu Hai and Jie Li and Peter Wriggers",
note = "Funding Information: The support from the National Natural Science Foundation of China (Grant No. 51538010 ) and the Education Commission of Shanghai China (Grant No. 2017–01–07–00–07-E00006 ) is gratefully appreciated. The first author Lu Hai gratefully acknowledges support for this research by “Overseas Training Program for Young Talents” of Ocean University of China. ",
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T1 - Relationship between probabilistic characteristics of microscopic and macroscopic strength within the stochastic phase-field model

AU - Hai, Lu

AU - Li, Jie

AU - Wriggers, Peter

N1 - Funding Information: The support from the National Natural Science Foundation of China (Grant No. 51538010 ) and the Education Commission of Shanghai China (Grant No. 2017–01–07–00–07-E00006 ) is gratefully appreciated. The first author Lu Hai gratefully acknowledges support for this research by “Overseas Training Program for Young Talents” of Ocean University of China.

PY - 2023/11

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N2 - Stochastic phase-field models can reproduce the nonlinearity and randomness of the mechanical behavior of quasi-brittle materials within a unified macroscopic continuum framework. To study the probabilistic characteristics of microscopic and macroscopic strength within the stochastic phase-field model and their relationship, a series of numerical results of a specimen subjected to uniaxial tension using a stochastic phase-field model is presented. The probabilistic characteristics of the macroscopic responses and the underlying mechanisms are discussed. Based on the numerical results, a probabilistic model is developed, which can effectively determine the probability information of the macroscopic structural strength of quasi-brittle uniaxial tensile specimens. In particular, the interaction of several characteristic scales involved in the stochastic phase-field model can be demonstrated.

AB - Stochastic phase-field models can reproduce the nonlinearity and randomness of the mechanical behavior of quasi-brittle materials within a unified macroscopic continuum framework. To study the probabilistic characteristics of microscopic and macroscopic strength within the stochastic phase-field model and their relationship, a series of numerical results of a specimen subjected to uniaxial tension using a stochastic phase-field model is presented. The probabilistic characteristics of the macroscopic responses and the underlying mechanisms are discussed. Based on the numerical results, a probabilistic model is developed, which can effectively determine the probability information of the macroscopic structural strength of quasi-brittle uniaxial tensile specimens. In particular, the interaction of several characteristic scales involved in the stochastic phase-field model can be demonstrated.

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KW - First-passage probability

KW - Probabilistic failure

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