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DOI | 10.1029/2020JB020610 |
Compaction Banding in High-Porosity Carbonate Rocks: 2. A Gradient-Dependent Plasticity Model | |
Abdallah Y.; Sulem J.; Stefanou I. | |
发表日期 | 2020 |
ISSN | 21699313 |
卷号 | 125期号:12 |
英文摘要 | Based on the experimental study on Saint-Maximin limestone presented in a companion paper (Abdallah et al., 2020), a gradient-dependent plasticity model is developed to account for the key role of porosity heterogeneity in the formation and propagation of compaction bands. The constitutive law, developed in the frame of a micromorphic continuum theory, contains two hardening variables: the porosity and its second gradient. A calibration method for the additional micromechanical parameters is proposed. Data from the companion paper are used in a four-step calibration procedure. First, the standard Cauchy component is calibrated by means of the macroscopic stress-strain curves. An Asymmetric Cam-Clay (ACC) model is adopted for the yield surface. The dominant wavelength of the porosity heterogeneity of the material is evaluated by applying the fast Fourier transformation (FFT) on several porosity profiles obtained on samples before loading. This wavelength is interpreted as the material length that appears in the model. In addition to the deformation maps computed from digital volume correlation (DVC), a method that evaluates the second gradient of porosity is developed to calibrate the hardening laws. A linear stability analysis (LSA) is performed to calibrate the higher-order elastic modulus. The constitutive model is implemented in a finite element code, and triaxial loading experiments are simulated. The numerical results are consistent with the experimental data in terms of the onset of compaction bands, their thickness, and plastic strain. The size effect of the sample is explored, and a regular band spacing, comparable to the band thickness, is obtained. ©2020. American Geophysical Union. All Rights Reserved. |
英文关键词 | carbonates; compaction; gradient plasticity; microstructure; numerical modeling; strain localization |
语种 | 英语 |
来源期刊 | Journal of Geophysical Research: Solid Earth
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文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/187473 |
作者单位 | Laboratoire Navier, École des Ponts ParisTech, Université Gustave Eiffel, CNRS, Marne-la-Vallée, France; Institut de Recherche en Génie Civil et Mécanique, UMR 6183, Ecole Centrale de Nantes, Université de Nantes, CNRS, Nantes, France |
推荐引用方式 GB/T 7714 | Abdallah Y.,Sulem J.,Stefanou I.. Compaction Banding in High-Porosity Carbonate Rocks: 2. A Gradient-Dependent Plasticity Model[J],2020,125(12). |
APA | Abdallah Y.,Sulem J.,&Stefanou I..(2020).Compaction Banding in High-Porosity Carbonate Rocks: 2. A Gradient-Dependent Plasticity Model.Journal of Geophysical Research: Solid Earth,125(12). |
MLA | Abdallah Y.,et al."Compaction Banding in High-Porosity Carbonate Rocks: 2. A Gradient-Dependent Plasticity Model".Journal of Geophysical Research: Solid Earth 125.12(2020). |
条目包含的文件 | 条目无相关文件。 |
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