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A modified strain rate dependent constitutive model for chalk and porous rock
International Journal of Rock Mechanics and Mining Sciences ( IF 7.2 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.ijrmms.2020.104406
Mohammad Reza Hajiabadi , Hamidreza M. Nick

Abstract This paper modifies a 3D geomechanical constitutive model that uses two independent yield surfaces composed of shear failure and a strain rate-dependent pore collapse yield surfaces in order to describe the dilation and compaction mechanism of deformation. The model is developed based on the combination of non-associated shear failure and the viscoplastic consistency model relying on empirical formulation originally developed by J.A. de Waal and coworkers in the late 1980s. The model has the capability of representing the compaction deformation due to the creep phase. The model is also capable of predicting the softening in shear failure, which offers the option to use the model for stability analyses. A fully implicit stress-update algorithm for the multi-mechanism consistency model is used to determine the viscoplastic strain components. Several simulations are considered using a single element model in uniaxial and triaxial conditions to illustrate the behavior of the proposed model. Comparing the results with laboratory data indicates that the proposed model can reproduce the rate-dependent behavior in chalk.

中文翻译:

白垩和多孔岩石的修正应变率相关本构模型

摘要 本文修改了一个 3D 地质力学本构模型,该模型使用由剪切破坏和应变率相关的孔隙坍塌屈服面组成的两个独立屈服面,以描述变形的膨胀和压实机制。该模型是基于非关联剪切破坏和粘塑性一致性模型的组合而开发的,该模型依赖于最初由 JA de Waal 及其同事在 1980 年代后期开发的经验公式。该模型具有表示由于蠕变阶段引起的压实变形的能力。该模型还能够预测剪切破坏中的软化,从而提供使用该模型进行稳定性分析的选项。多机构一致性模型的全隐式应力更新算法用于确定粘塑性应变分量。考虑在单轴和三轴条件下使用单元模型进行多次模拟,以说明所提出模型的行为。将结果与实验室数据进行比较表明,所提出的模型可以重现粉笔中的速率相关行为。
更新日期:2020-10-01
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