PSI - Issue 13

Zhengkun Liu et al. / Procedia Structural Integrity 13 (2018) 787–792 Z. Liu et al. / Structural Integrity Procedia 00 (2018) 000–000

792 6

Fig. 3. (a) angle of the direction of anisotropy; (b) crack phase-field at final failure stage.

References

Amor, H., Marigo, J-J., Maurini, C., 2009. Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments. Journal of the Mechanics and Physics of Solids, 1209–1229. Ambati, M., Gerasimov, T., De Lorenzis, L., 2014. A review on phase-field models of brittle fracture and a new fast hybrid formulation. Computa tional Mechanics, 383–405. Ambati, M., Gerasimov, T., De Lorenzis, L., 2015. Phase-field modeling of ductile fracture. Computational Mechanics, 1017–1040. Ambati, M., Kruse, R., De Lorenzis, L., 2016. A phase-field model for ductile fracture at finite strains and its experimental verification. Computa tional Mechanics, 149-167. Clayton, JD., Knap, J., 2016. Phase field modeling and simulation of coupled fracture and twinning in single crystals and polycrystals. Computer Methods in Applied Mechanics and Engineering, 447–467. Heister, T., Wheeler, MF., Wick, T., 2015. A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propa gation using a phase-field approach. Computer Methods in Applied Mechanics and Engineering, 466–495. Kuhn, C., M¨ uller, R., 2010. A continuum phase field model for fracture. Engineering Fracture Mechanics, 3625–3634. Li, B., Peco, C., Millan, D., Arias, I., Arroyo, M., 2015. Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy. International Journal for Numerical Methods in Engineering, 711–727. Paggi, M., Corrado, M., Reinoso, J., 2018. Fracture of solar-grade anisotropic polycrystalline Silicon: A combined phase field cohesive zone model approach. Computer Methods in Applied Mechanics and Engineering, 123–148. Taylor, R. L., Govindjee, S., 2017. FEAP - finite element analysis program. Wick, T., 2017. An Error-Oriented Newton / Inexact Augmented Lagrangian Approach for Fully Monolithic Phase-Field Fracture Propagation. SIAM Journal on Scientific Computing, 589–617. Wick, T., 2017. Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation. Computer Methods in Applied Mechanics and Engineering, 577–611. Zienkiewicz, O.C., Taylor, R.L., Fox, D., 2014. The Finite Element Method for Solid and Structural Mechanic (7th Edition), Butterworth Heinemann, Oxford, UK.