TY - GEN
T1 - Phase fielding modeling of crack propagation
AU - Wang, Y. C.
AU - Shen, M. W.
N1 - Funding Information:
The authors would like to acknowledge a partial financial support of the Taiwan Ministry of Science and Technology (MOST).
Publisher Copyright:
© 2017 ICF 2017 - 14th International Conference on Fracture. All rights reserved.
PY - 2017
Y1 - 2017
N2 - Crack propagation is modeled via a phase field method with the consideration of the linear elastic behavior of metallic materials. A scalar order parameter is introduced to identify the intact phase and broken phase. A Ginzburg-Landau type free energy function is constructed to include the energy terms associated with elastic deformation, gradient of the order parameter and local energy contribution due to the order parameter. Evolution of the order parameter is modeled by the Allen-Cahn equation with a mobility parameter. The free energy function is then solved with the finite element method in accordance with the minimal energy principle. Two-dimensional examples of the mode I and II fracture problem are illustrated, and compared with analytical solutions.
AB - Crack propagation is modeled via a phase field method with the consideration of the linear elastic behavior of metallic materials. A scalar order parameter is introduced to identify the intact phase and broken phase. A Ginzburg-Landau type free energy function is constructed to include the energy terms associated with elastic deformation, gradient of the order parameter and local energy contribution due to the order parameter. Evolution of the order parameter is modeled by the Allen-Cahn equation with a mobility parameter. The free energy function is then solved with the finite element method in accordance with the minimal energy principle. Two-dimensional examples of the mode I and II fracture problem are illustrated, and compared with analytical solutions.
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M3 - Conference contribution
AN - SCOPUS:85065993426
T3 - ICF 2017 - 14th International Conference on Fracture
SP - 11
EP - 12
BT - ICF 2017 - 14th International Conference on Fracture
A2 - Gdoutos, Emmanuel E.
PB - International Conference on Fracture
T2 - 14th International Conference on Fracture, ICF 2017
Y2 - 18 June 2017 through 20 June 2017
ER -