Thermodynamics-based modelling of undrained viscoplastic flow deformation in granular material

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science Pub Date : 2025-03-18 DOI:10.1016/j.ijengsci.2025.104251

Yang Xiao , Fang Liang , Zhichao Zhang

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Abstract

In this paper, the thermodynamics of granular material is developed to get constitutive relations for unified modelling of undrained viscoplastic flow behavior with complex combined effects of state, rate, time, and path. The proposed formulations of energy storages and dissipations lead to the state-dependent hyperelasticity with an elastic instable region and the viscoplasticity with considerations of the granular kinetic flow. Subjected to strict thermodynamic restraints, a generalized law of viscoplastic shear flow is proposed for granular material as the combination of state-based and rate-based viscoplastic flows, which predictively captures the diversity of undrained granular flow pattern with elastic-plastic coupled non-coaxialities among stresses, (total/viscoplastic/elastic) strains, and their increments. The viscoplastic flow is also linked with the granular temperature that accounts for the granular kinetic fluctuation varying from dilative dense flow to large unlimited flow under shear-induced static liquefaction. This enables predictions of the creep and the stress relaxation as well as the over- and -under shooting of stress under stepwise changes in strain rate. The model is well validated by predicting the flow potential, phase transformation, critical state, and rate/time effects under undrained conventional triaxial shearing and simple shearing for Toyoura sand, which are strongly related to the void ratio, the confining pressure, the shear stress, and the shear mode.

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颗粒材料不排水粘塑性流动变形的热力学建模

本文利用粒状材料的热力学原理，建立了具有状态、速率、时间、路径等复杂组合效应的不排水粘塑性流动行为的统一模型。所提出的能量储存和耗散公式导致具有弹性不稳定区域的状态依赖超弹性和考虑颗粒动力学流动的粘塑性。在严格的热力学约束下，提出了颗粒材料粘塑性剪切流动的广义规律，即基于状态和基于速率的粘塑性流动的结合，预测了不排颗粒流动模式的多样性，即应力、（总/粘塑性/弹性）应变及其增量之间的弹塑性耦合非同轴性。粘塑性流动还与颗粒温度有关，这是导致颗粒动力学波动从膨胀密集流动到剪切诱导静态液化下的大无限制流动的原因。这可以预测蠕变和应力松弛，以及在应变速率逐步变化下的应力的过射和下射。通过对不排水常规三轴剪切和简单剪切作用下的渗流、相变、临界状态和速率/时间效应的预测，验证了该模型的有效性。这些效应与孔隙比、围压、剪应力和剪切方式密切相关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

期刊介绍： The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.