Details
| Original language | English |
|---|---|
| Article number | 103497 |
| Journal | Probabilistic Engineering Mechanics |
| Volume | 74 |
| Early online date | 7 Aug 2023 |
| Publication status | Published - Oct 2023 |
Abstract
This paper presents a reliability analysis for fracture toughness using a multilevel refinement on a hierarchy of computational models. A 2D finite element model discretized by quadrilateral elements is developed to analyze the stress intensity with the presence of an initial edge crack. The multilevel simulations are obtained considering a non-uniform sequence of mesh refinement in the vicinity of the crack tip. We set the probabilistic problem accounting for applied stress and crack size uncertainties. We analyze several error tolerances using the standard and multilevel Monte Carlo methods combined with the selective refinement procedure. The probability of failure is estimated by expanding it in a telescoping sum of an initial approximation at the coarsest mesh and a series of incremental corrections between the subsequent levels. In our analysis, we take on two common fracture problems; a single-edge notched tension to investigate the pure mode-I and an asymmetric four-points bending to consider the mixed mode-I/II. The results show significant savings in the computation cost.
Keywords
- Fracture mechanics, Multilevel Monte Carlo, Probability of failure, Reliability analysis, Stress intensity factor
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Engineering(all)
- Civil and Structural Engineering
- Energy(all)
- Nuclear Energy and Engineering
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
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In: Probabilistic Engineering Mechanics, Vol. 74, 103497, 10.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Reliability analysis of the stress intensity factor using multilevel Monte Carlo methods
AU - Hamdia, Khader M.
AU - Ghasemi, Hamid
N1 - Funding Information: Khader M. Hamdia, thanks the support of Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - Projektnummer 492535144. Hamid Ghasemi thanks the support provided by the Center for International Scientific Studies & Collaborations (CISSC), Ministry of Science, Research and Technology of Iran .
PY - 2023/10
Y1 - 2023/10
N2 - This paper presents a reliability analysis for fracture toughness using a multilevel refinement on a hierarchy of computational models. A 2D finite element model discretized by quadrilateral elements is developed to analyze the stress intensity with the presence of an initial edge crack. The multilevel simulations are obtained considering a non-uniform sequence of mesh refinement in the vicinity of the crack tip. We set the probabilistic problem accounting for applied stress and crack size uncertainties. We analyze several error tolerances using the standard and multilevel Monte Carlo methods combined with the selective refinement procedure. The probability of failure is estimated by expanding it in a telescoping sum of an initial approximation at the coarsest mesh and a series of incremental corrections between the subsequent levels. In our analysis, we take on two common fracture problems; a single-edge notched tension to investigate the pure mode-I and an asymmetric four-points bending to consider the mixed mode-I/II. The results show significant savings in the computation cost.
AB - This paper presents a reliability analysis for fracture toughness using a multilevel refinement on a hierarchy of computational models. A 2D finite element model discretized by quadrilateral elements is developed to analyze the stress intensity with the presence of an initial edge crack. The multilevel simulations are obtained considering a non-uniform sequence of mesh refinement in the vicinity of the crack tip. We set the probabilistic problem accounting for applied stress and crack size uncertainties. We analyze several error tolerances using the standard and multilevel Monte Carlo methods combined with the selective refinement procedure. The probability of failure is estimated by expanding it in a telescoping sum of an initial approximation at the coarsest mesh and a series of incremental corrections between the subsequent levels. In our analysis, we take on two common fracture problems; a single-edge notched tension to investigate the pure mode-I and an asymmetric four-points bending to consider the mixed mode-I/II. The results show significant savings in the computation cost.
KW - Fracture mechanics
KW - Multilevel Monte Carlo
KW - Probability of failure
KW - Reliability analysis
KW - Stress intensity factor
UR - http://www.scopus.com/inward/record.url?scp=85167975877&partnerID=8YFLogxK
U2 - 10.1016/j.probengmech.2023.103497
DO - 10.1016/j.probengmech.2023.103497
M3 - Article
AN - SCOPUS:85167975877
VL - 74
JO - Probabilistic Engineering Mechanics
JF - Probabilistic Engineering Mechanics
SN - 0266-8920
M1 - 103497
ER -