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arXiv 2008.02056physics.geo-ph
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基于非关联流动规则的粘土弹粘塑性模型

Non-Associated Flow Rule-Based Elasto-Viscoplastic Model for Clay

Mohammad Islam, Carthigesu Gnanendran

摘要:

提出了一种基于非关联流动法则(NAFR)的各向同性粘土弹粘塑性(EVP)模型。对于模型的建立,我们引入了临界状态土力学理论(CSSMT),边界面理论和Perzyna的过应力理论。基于NAFR的EVP模型包括三个面:势面、参考面和加载面。此外,在模型制定,假设潜在的表面和参考表面是相同的,我们得到了相关的流动规则为基础的EVP模型。两个EVP模型都需要七个参数,其中五个与修正凸轮粘土模型相同。另外两个参数是表面形状参数和二次压缩指数。此外,我们在模型中引入形状参数来控制表面形状,并考虑粘土的超固结状态。此外,我们还引入了二次压缩指数来引入粘土的粘度。此外,我们验证了上海粘土,旧金山湾泥(SFBM)粘土和高岭土EVP模型的性能。此外,我们使用EVP模型预测的长期现场监测测量的Nerang Broadbeach公路路堤在澳大利亚。从模型预测的比较,我们发现,非关联流动规则EVP模型捕捉以及广泛的实验结果和现场监测堤防数据。此外,我们还观察到,天然粘土表现出的流动规则的效果相比,再造粘土。

英文摘要:

We develop a non-associated flow rule (NAFR) based elasto-viscoplastic (EVP) model for isotropic clays. For the model formulation, we introduce the critical state soil mechanics theory (CSSMT), the bounding surface theory and Perzyna's overstress theory. The NAFR based EVP model comprises three surfaces: the potential surface, the reference surface and the loading surface. Additionally, in the model formulation, assuming the potential surface and the reference surface are identical, we obtain the associated flow rule-based EVP model. Both EVP models require seven parameters and five of them are identical to the Modified Cam Clay model. The other two parameters are the surface shape parameter and the secondary compression index. Moreover, we introduce the shape parameter in the model formulation to control the surface shape and to account for the overconsolidation state of clay. Additionally, we incorporate the secondary compression index to introduce the viscosity of clay. Also, we validate the EVP model performances for the Shanghai clay,the San Francisco Bay Mud (SFBM) clay and the Kaolin clay. Furthermore, we use the EVP models to predict the long-term field monitoring measurement of the Nerang Broadbeach roadway embankment in Australia. From the comparison of model predictions, we find that the non-associated flow rule EVP model captures well a wide range of experimental results and field monitoring embankment data. Furthermore, we also observe that the natural clay exhibits the flow rule effect more compared to the reconstituted clay.

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