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

authored by: Lu Hai, Jie Li, Peter Wriggers
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Ocean University of China
Tongji University
Type: Article
Journal: Applied mathematical modelling
Volume: 123
Pages: 776-789
No. of pages: 14
ISSN: 0307-904X
Publication date: 11.2023
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Modelling and Simulation, Applied Mathematics
Electronic version(s): https://doi.org/10.1016/j.apm.2023.07.027 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{880a11d565cc40bb9464126c398b0c33,
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. ",
year = "2023",
month = nov,
doi = "10.1016/j.apm.2023.07.027",
language = "English",
volume = "123",
pages = "776--789",
journal = "Applied mathematical modelling",
issn = "0307-904X",
publisher = "Elsevier Inc.",
}