Phase field modeling of brittle fracture of periodic structures based on ubstructuring and damage identification

WANG Bochen; HOU Yuliang; XIA Liang; SHI Tielin

doi:10.7527/S1000-6893.2022.25159

ACTA AERONAUTICAET ASTRONAUTICA SINICA >

2022 , Vol. 43 >Issue 3: 225159 - 225159

DOI: https://doi.org/10.7527/S1000-6893.2022.25159

Phase field modeling of brittle fracture of periodic structures based on ubstructuring and damage identification

WANG Bochen ,
HOU Yuliang ,
XIA Liang ,
SHI Tielin

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1. State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China;
2. School of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou 450001, China

Received date: 2020-12-25

Revised date: 2021-04-08

Online published: 2022-04-02

Supported by

National Natural Science Foundation of China (11972166);Natural Science Foundation for Distinguished Young Scholars of Hubei Province of China (2020CFA080);Fundamental Research Funds for the Central Universities (2019kfyXKJC044)

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Abstract

Phase field models for fracturing approximate the crack as a globally diffused scalar field.The crack nucleation and propagation are simulated by solving partial differential equations, which avoids the numerical challenges in describing and tracking cracks in the discontinuous displacement field, and exhibits several advantages in modeling conventionally challenging problems, such as crack bifurcation, multiple cracks, fracture problems within heterogeneous materials and three-dimensional cases.However, fracture modeling based on the phase field method requires a refined finite element mesh near the crack, resulting in enormous computational costs.With substructuring and damage identification, this work proposes a highly efficient phase field method for brittle fracturing simulation of periodic structures.Firstly, the structure is partitioned into identical substructures according to its periodicity, and their internal nodes are statically condensed by means of substructuring.Secondly, an elastic strain energy threshold is identified by representative off-line tests of the substructure.Moreover, only the internal displacement and crack phase field of the substructures whose strain energies are above the threshold are further analyzed during the on-line fracturing simulation.Therefore, not only the structural periodicity contributes to the reduction of computational costs through sbustructuring, but the non-crack propagation substructures are prevented from repetitive FE analysis by virtue of damage identification.

Key words： phase field; fracture modeling; computation reduction; substructuring; damage identification

Cite this article

WANG Bochen , HOU Yuliang , XIA Liang , SHI Tielin . Phase field modeling of brittle fracture of periodic structures based on ubstructuring and damage identification[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022 , 43(3) : 225159 -225159 . DOI: 10.7527/S1000-6893.2022.25159

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