Details
| Original language | English |
|---|---|
| Pages (from-to) | 776-789 |
| Number of pages | 14 |
| Journal | Applied mathematical modelling |
| Volume | 123 |
| Early online date | 25 Jul 2023 |
| Publication status | Published - 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
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Applied mathematical modelling, Vol. 123, 11.2023, p. 776-789.
Research output: Contribution to journal › Article › Research › 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 -