Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 3617-3628 |
| Seitenumfang | 12 |
| Fachzeitschrift | Engineering with computers |
| Jahrgang | 39 |
| Ausgabenummer | 5 |
| Frühes Online-Datum | 2 Jan. 2023 |
| Publikationsstatus | Veröffentlicht - Okt. 2023 |
Abstract
In this paper, a nonlocal operator method combined with an explicit phase field method is applied to model the propagation of quasi-static fracture and show the computational efficiency of the proposed model compared with numerical models based on implicit method in the literature. Based on the energy form of the phase field model, the nonlocal strong form of governing equations are derived. In the implementation, both the mechanical field and phase field are updated with an explicit time integration. Several numerical benchmark problems including L-shape panel, Three-point bending, Notched plate with holes are carried out and compared with other methods, which show good agreement with previous works. Furthermore, a hybrid implicit/explicit model is proposed to improve the computational efficiency of the explicit model. This paper also presents a local damping, which decreases the ratio of kinetic energy to internal energy of the explicit phase field model to apply mass scaling method. The mass scaling for the cases studied here is examined and the computational time is saved.
ASJC Scopus Sachgebiete
- Informatik (insg.)
- Software
- Mathematik (insg.)
- Modellierung und Simulation
- Ingenieurwesen (insg.)
- Informatik (insg.)
- Angewandte Informatik
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in: Engineering with computers, Jahrgang 39, Nr. 5, 10.2023, S. 3617-3628.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Computational modeling of quasi static fracture using the nonlocal operator method and explicit phase field model
AU - Sahin, Umut
AU - Ren, Huilong
AU - Imrak, Cevat Erdem
AU - Rabczuk, Timon
PY - 2023/10
Y1 - 2023/10
N2 - In this paper, a nonlocal operator method combined with an explicit phase field method is applied to model the propagation of quasi-static fracture and show the computational efficiency of the proposed model compared with numerical models based on implicit method in the literature. Based on the energy form of the phase field model, the nonlocal strong form of governing equations are derived. In the implementation, both the mechanical field and phase field are updated with an explicit time integration. Several numerical benchmark problems including L-shape panel, Three-point bending, Notched plate with holes are carried out and compared with other methods, which show good agreement with previous works. Furthermore, a hybrid implicit/explicit model is proposed to improve the computational efficiency of the explicit model. This paper also presents a local damping, which decreases the ratio of kinetic energy to internal energy of the explicit phase field model to apply mass scaling method. The mass scaling for the cases studied here is examined and the computational time is saved.
AB - In this paper, a nonlocal operator method combined with an explicit phase field method is applied to model the propagation of quasi-static fracture and show the computational efficiency of the proposed model compared with numerical models based on implicit method in the literature. Based on the energy form of the phase field model, the nonlocal strong form of governing equations are derived. In the implementation, both the mechanical field and phase field are updated with an explicit time integration. Several numerical benchmark problems including L-shape panel, Three-point bending, Notched plate with holes are carried out and compared with other methods, which show good agreement with previous works. Furthermore, a hybrid implicit/explicit model is proposed to improve the computational efficiency of the explicit model. This paper also presents a local damping, which decreases the ratio of kinetic energy to internal energy of the explicit phase field model to apply mass scaling method. The mass scaling for the cases studied here is examined and the computational time is saved.
KW - Explicit phase field model
KW - Implicit NOM
KW - Local damping
KW - Mass scaling
KW - Nonlocal operator method
UR - http://www.scopus.com/inward/record.url?scp=85145503456&partnerID=8YFLogxK
U2 - 10.1007/s00366-022-01777-5
DO - 10.1007/s00366-022-01777-5
M3 - Article
AN - SCOPUS:85145503456
VL - 39
SP - 3617
EP - 3628
JO - Engineering with computers
JF - Engineering with computers
SN - 0177-0667
IS - 5
ER -