Abstract
We apply a fourth order phase-field model for fracture based on local maximum entropy (LME) approximants. The higher order continuity of the meshfree LME approximants allows to directly solve the fourth order phase-field equations without splitting the fourth order differential equation into two second order differential equations. We will first show that the crack surface can be captured more accurately in the fourth order model. Furthermore, less nodes are needed for the fourth order model to resolve the crack path. Finally, we demonstrate the performance of the proposed meshfree fourth order phase-field formulation for 5 representative numerical examples. Computational results will be compared to analytical solutions within linear elastic fracture mechanics and experimental data for three-dimensional crack propagation.
| Original language | English |
|---|---|
| Journal | Computer Methods in Applied Mechanics and Engineering |
| DOIs | |
| Publication status | Accepted/In press - 2016 |
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Keywords
- Fourth order phase-field model
- Fracture
- Local maximum entropy
- Second order phase-field model
ASJC Scopus subject areas
- Computer Science Applications
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
Cite this
Fourth order phase-field model for local max-ent approximants applied to crack propagation. / Amiri, Fatemeh; Millán, Daniel; Arroyo, Marino; Silani, Mohammad; Rabczuk, Timon.
In: Computer Methods in Applied Mechanics and Engineering, 2016.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Fourth order phase-field model for local max-ent approximants applied to crack propagation
AU - Amiri, Fatemeh
AU - Millán, Daniel
AU - Arroyo, Marino
AU - Silani, Mohammad
AU - Rabczuk, Timon
PY - 2016
Y1 - 2016
N2 - We apply a fourth order phase-field model for fracture based on local maximum entropy (LME) approximants. The higher order continuity of the meshfree LME approximants allows to directly solve the fourth order phase-field equations without splitting the fourth order differential equation into two second order differential equations. We will first show that the crack surface can be captured more accurately in the fourth order model. Furthermore, less nodes are needed for the fourth order model to resolve the crack path. Finally, we demonstrate the performance of the proposed meshfree fourth order phase-field formulation for 5 representative numerical examples. Computational results will be compared to analytical solutions within linear elastic fracture mechanics and experimental data for three-dimensional crack propagation.
AB - We apply a fourth order phase-field model for fracture based on local maximum entropy (LME) approximants. The higher order continuity of the meshfree LME approximants allows to directly solve the fourth order phase-field equations without splitting the fourth order differential equation into two second order differential equations. We will first show that the crack surface can be captured more accurately in the fourth order model. Furthermore, less nodes are needed for the fourth order model to resolve the crack path. Finally, we demonstrate the performance of the proposed meshfree fourth order phase-field formulation for 5 representative numerical examples. Computational results will be compared to analytical solutions within linear elastic fracture mechanics and experimental data for three-dimensional crack propagation.
KW - Fourth order phase-field model
KW - Fracture
KW - Local maximum entropy
KW - Second order phase-field model
UR - http://www.scopus.com/inward/record.url?scp=84960154711&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84960154711&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2016.02.011
DO - 10.1016/j.cma.2016.02.011
M3 - Article
AN - SCOPUS:84960154711
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -