Assessment of Free Energy Functions for Sand

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL
Nazanin Irani, Luis Felipe Prada‐Sarmiento, Merita Tafili, Mohammad Salimi, Torsten Wichtmann, Theodoros Triantafyllidis
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引用次数: 0

Abstract

The advantages of constitutive models in energy‐conservation frameworks have been widely addressed in the literature. A key component is choosing an appropriate energy potential to derive the hyperelastic constitutive equations. This article investigates the advantages and limitations of different energy potentials found in the literature based on mathematical conditions to guarantee numerical stability, such as the desired order of homogeneity, positive and non‐singular stiffness within the application range, and equivalent Poisson's ratio from a constitutive modelling standpoint. Potentials meeting the aforementioned criteria are employed to simulate the response envelopes of Karlsruhe fine sand (KFS). Moreover, the performance of the potentials, in conjunction with plasticity theories, is examined. To achieve this, the hyperelastic constitutive equations have been coupled with the bounding surface plasticity model of Dafalias and Manzari to reproduce the soil response in a hyperelastic–plastic frame. Finally, one of the potentials is modified, whereas recommendations for incorporating other appropriate free energy functions into different soil constitutive models are presented. Furthermore, 100 closed elastic strain cycles have been simulated with the bounding surface plasticity model of Dafalias and Manzari considering the original hypoelastic stiffness and hyperelastic–plastic constitutive equations. Using the hypoelastic framework in the simulation led to stress accumulation after 100 closed elastic strain loops, while a reversible response was predicted using the hyperelastic stiffness tensor.
砂的自由能函数评估
文献中广泛论述了构成模型在节能框架中的优势。其中一个关键要素是选择合适的能量势来推导超弹性构造方程。本文基于保证数值稳定性的数学条件,研究了文献中不同能量势的优势和局限性,例如所需的均匀性阶数、应用范围内的正刚度和非矢量刚度,以及从构成模型角度看的等效泊松比。符合上述标准的势能用于模拟卡尔斯鲁厄细砂(KFS)的响应包络。此外,还结合塑性理论对电位的性能进行了研究。为此,将超弹性构造方程与 Dafalias 和 Manzari 的边界面塑性模型相结合,以再现超弹性塑性框架中的土壤响应。最后,对其中一个势进行了修改,并提出了将其他适当的自由能函数纳入不同土壤组成模型的建议。此外,考虑到原始的低弹性刚度和超弹塑性构成方程,利用 Dafalias 和 Manzari 的边界表面塑性模型模拟了 100 个封闭弹性应变循环。在模拟中使用次弹性框架会导致 100 个封闭弹性应变循环后的应力累积,而使用超弹性刚度张量则可预测可逆反应。
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
CiteScore
6.40
自引率
12.50%
发文量
160
审稿时长
9 months
期刊介绍: The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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