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A modified damage and fracture phase field model considering heterogeneity for rock‐like materials

Deep Underground Science and Engineering 2023年第3期2卷 286-294页

作者： Xuxin Chen Zhe Qin North China Municipal Engineering Design and Research Institute Co.Ltd. TianjinChina School of Civil Engineering Beijing Jiaotong UniversityBeijingChina School of Civil Engineering Tianjin UniversityTianjinChina School of Civil Engineering and Architecture Shandong University of Science and TechnologyQingdaoChina

Damage and fracture are the most extensive failure modes of rock materials,which may easily induce disaster and instability of engineering *** study developed a nonlocal damage fracture phase field model for rocks considering the heterogeneity of *** modified phase field model introduced the heterogeneity of fracture parameters and modified the governing ***,the free energy was constructed by the elastic strain energy sphere‐bias decomposition and the plastic strain *** for the numerical implementation,the three layers finite elements method structure was used in the frame of the finite element *** ability of the modified phase field model has been illustrated by reproducing the experiment results of rock samples with pre‐existing cracks under compression.

关键词： crack propagation heterogeneity numerical implementation phase field method rock‐like materials

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A Generalized Non-Linear Flow Law Based on Modified Zerilli-Armstrong Model and Its implementation into Abaqus/Explicit FEM Code

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World Journal of Engineering and Technology 2022年第2期10卷 334-362页

作者： Pierre Tize Mha Amèvi Tongne Olivier Pantalé Production Engineering Laboratory INPT/ENIT Toulouse University Tarbes France

Non-linear numerical modeling, widely used in research and development to understand many complex processes such as forming or machining, does not guarantee the success of a study to be performed. Indeed, the numerical simulation uses finite element codes where the models already integrated are not based on shapes adjustable to any type of study. In this study, a new form of non-linear constitutive flow law based on the Modified Zerilli-Armstrong model, which can answer the above problem, has been developed to apply it to the numerical simulation of two different tests (a quasi-static compression test, the necking of a circular bar). This flow law is based on the modified Zerilli-Armstrong model, which, together with the new modified Johnson-Cook model, has been compared to appreciate the relevance of the proposal. For that, an implementation of this new law via the VUHARD subroutine into the Abaqus/Explicit finite element code was made to model the two tests. The comparison of the results obtained (from identification) by our proposed law with those obtained using the NMJC shows that this new law better approaches the experiments than the other one. This is also shown through the numerical results using the Abaqus software. It can be said that this way of formulating a flow law allows highlighting the great performance of the proposed approach. Although this law has been only used for quasi-static tests, we can say that it can also be used in dynamic tests.

关键词： Zerilli-Armstrong Flow Law Constitutive Behavior Finite Element Method numerical implementation Johnson-Cook Flow Law

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