Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 776-789 |
| Seitenumfang | 14 |
| Fachzeitschrift | Applied mathematical modelling |
| Jahrgang | 123 |
| Frühes Online-Datum | 25 Juli 2023 |
| Publikationsstatus | Veröffentlicht - 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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Modellierung und Simulation
- Mathematik (insg.)
- Angewandte Mathematik
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in: Applied mathematical modelling, Jahrgang 123, 11.2023, S. 776-789.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
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
Y1 - 2023/11
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.
KW - Characteristic scales
KW - First-passage probability
KW - Probabilistic failure
KW - Quasi-brittle solids
KW - Stochastic phase-field model
UR - http://www.scopus.com/inward/record.url?scp=85165904581&partnerID=8YFLogxK
U2 - 10.1016/j.apm.2023.07.027
DO - 10.1016/j.apm.2023.07.027
M3 - Article
AN - SCOPUS:85165904581
VL - 123
SP - 776
EP - 789
JO - Applied mathematical modelling
JF - Applied mathematical modelling
SN - 0307-904X
ER -