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A Hybrid Asynchronous Variational Integrator for the Phase Field Approach to Dynamic Fracture
Zongwu Niu1, Yongxing Shen1,*
1 University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai, 200240,
China
* Corresponding Author: Yongxing Shen. Email:
The International Conference on Computational & Experimental Engineering and Sciences 2023, 26(3), 1-1. https://doi.org/10.32604/icces.2023.09037
Abstract
The phase field approach has powerful abilities to simulate complicated fracture behaviors. However, the
requirement of fine mesh near cracks leads to high computational cost, especially for dynamic cases in which
the critical time step is restricted by the smallest element size according to the CFL stability condition. In
this work, the asynchronous variational integrator (AVI) is used to alleviate the high computational cost in
the case of dynamic brittle fracture. The AVI is derived from the discrete Hamilton’s principle with
asynchronous temporal discretization, which allows each element in the mesh to have its own local time
step that is independent of other elements. The asynchrony allows the elements with smaller time steps to
be more frequently updated. A hybrid explicit-implicit staggered scheme is used to solve the coupled multifield system, in which the displacement and velocity fields are integrated with an explicit scheme while the
phase field is the solution to an inequality-constrained optimization problem. In essence, the phase field of
only one element is solved implicitly at a time based on elemental patches, it is very convenient to enforce
the upper and lower bounds strictly through the reduced-space active set strategy. In addition, two
important variants of the phase field approach are equally easily implemented. The results of several
benchmark problems show that AVI for the phase field approach captures the complicated dynamic fracture
behavior successfully and speeds up the computational efficiency significantly.
Keywords
Cite This Article
APA Style
Niu, Z., Shen, Y. (2023). A hybrid asynchronous variational integrator for the phase field approach to dynamic fracture. The International Conference on Computational & Experimental Engineering and Sciences, 26(3), 1-1. https://doi.org/10.32604/icces.2023.09037
Vancouver Style
Niu Z, Shen Y. A hybrid asynchronous variational integrator for the phase field approach to dynamic fracture. Int Conf Comput Exp Eng Sciences . 2023;26(3):1-1 https://doi.org/10.32604/icces.2023.09037
IEEE Style
Z. Niu and Y. Shen, "A Hybrid Asynchronous Variational Integrator for the Phase Field Approach to Dynamic Fracture," Int. Conf. Comput. Exp. Eng. Sciences , vol. 26, no. 3, pp. 1-1. 2023. https://doi.org/10.32604/icces.2023.09037