Details
| Original language | English |
|---|---|
| Article number | 104029 |
| Journal | Theoretical and Applied Fracture Mechanics |
| Volume | 127 |
| Early online date | 3 Aug 2023 |
| Publication status | Published - Oct 2023 |
Abstract
A computational framework to model fatigue fracture in structures based on the phase-field method and the solid-shell concept is herein presented. With the aim of achieving a locking free solid-shell finite element formulation with fracture-prediction capabilities, both the combination of the Enhanced Assumed Strain (EAS) and Assumed Natural Strain (ANS) methods with phase field of fracture is exploited. In order to achieve realistic prediction, the crack driving force is computed using positive/negative split of the stress field. Moreover, the difference between the driving forces are pinpointed. Furthermore, based on thermodynamic considerations, the free energy function is modified to introduce the fatigue effect via a degradation of the material fracture toughness. This approach retrieves the SN curves and the crack growth curve as expected. The predictive capability of the model is evaluated through benchmark examples that include a plate with a notch, a curved shell, mode II shear, and three-point bending for homogeneous materials, as well as a dogbone specimen for homogenized fiber-reinforced composites. Additionally, comparative analysis is performed with previous results for the plate with notch and mode II shear tests, while the dogbone specimen is compared with experimental data to further validate the accuracy of the present model.
Keywords
- A. Phase-field method, B. Solid-shell, C. Finite element method, D: Fatigue, E. Fracture
ASJC Scopus subject areas
- Materials Science(all)
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: Theoretical and Applied Fracture Mechanics, Vol. 127, 104029, 10.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A phase-field fracture model for fatigue using locking-free solid shell finite elements
T2 - Analysis for homogeneous materials and layered composites
AU - Asur Vijaya Kumar, Pavan Kumar
AU - Dean, Aamir
AU - Reinoso, José
AU - Pettermann, Heinz E.
AU - Paggi, Marco
N1 - Funding Information: MP would like to acknowledge funding from the Italian Ministry of University and Research to the Research Project of National Interest PRIN 2017 “XFAST-SIMS: Extra fast and accurate simulation of complex structural systems” (MUR code 20173C478N). JR is grateful to the financial support of Ministerio de Ciencia e Innovación (Projects TED2021-131649B-I00 and PID2019-109723GB-I00) and the funding received from the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No. 101086342 – Project DIAGONAL (Ductility and fracture toughness analysis of functionally graded materials; HORIZON-MSCA-2021-SE-01 action)
PY - 2023/10
Y1 - 2023/10
N2 - A computational framework to model fatigue fracture in structures based on the phase-field method and the solid-shell concept is herein presented. With the aim of achieving a locking free solid-shell finite element formulation with fracture-prediction capabilities, both the combination of the Enhanced Assumed Strain (EAS) and Assumed Natural Strain (ANS) methods with phase field of fracture is exploited. In order to achieve realistic prediction, the crack driving force is computed using positive/negative split of the stress field. Moreover, the difference between the driving forces are pinpointed. Furthermore, based on thermodynamic considerations, the free energy function is modified to introduce the fatigue effect via a degradation of the material fracture toughness. This approach retrieves the SN curves and the crack growth curve as expected. The predictive capability of the model is evaluated through benchmark examples that include a plate with a notch, a curved shell, mode II shear, and three-point bending for homogeneous materials, as well as a dogbone specimen for homogenized fiber-reinforced composites. Additionally, comparative analysis is performed with previous results for the plate with notch and mode II shear tests, while the dogbone specimen is compared with experimental data to further validate the accuracy of the present model.
AB - A computational framework to model fatigue fracture in structures based on the phase-field method and the solid-shell concept is herein presented. With the aim of achieving a locking free solid-shell finite element formulation with fracture-prediction capabilities, both the combination of the Enhanced Assumed Strain (EAS) and Assumed Natural Strain (ANS) methods with phase field of fracture is exploited. In order to achieve realistic prediction, the crack driving force is computed using positive/negative split of the stress field. Moreover, the difference between the driving forces are pinpointed. Furthermore, based on thermodynamic considerations, the free energy function is modified to introduce the fatigue effect via a degradation of the material fracture toughness. This approach retrieves the SN curves and the crack growth curve as expected. The predictive capability of the model is evaluated through benchmark examples that include a plate with a notch, a curved shell, mode II shear, and three-point bending for homogeneous materials, as well as a dogbone specimen for homogenized fiber-reinforced composites. Additionally, comparative analysis is performed with previous results for the plate with notch and mode II shear tests, while the dogbone specimen is compared with experimental data to further validate the accuracy of the present model.
KW - A. Phase-field method
KW - B. Solid-shell
KW - C. Finite element method
KW - D: Fatigue
KW - E. Fracture
UR - http://www.scopus.com/inward/record.url?scp=85167983621&partnerID=8YFLogxK
U2 - 10.1016/j.tafmec.2023.104029
DO - 10.1016/j.tafmec.2023.104029
M3 - Article
AN - SCOPUS:85167983621
VL - 127
JO - Theoretical and Applied Fracture Mechanics
JF - Theoretical and Applied Fracture Mechanics
SN - 0167-8442
M1 - 104029
ER -