固体夹杂物诱导内部相互作用的孔隙力学框架

IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL
Yifan Yang, Giuseppe Buscarnera
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引用次数: 0

摘要

将孔隙力学框架推广到模拟由固体夹杂物生长引起的内载荷作用下多孔介质的多尺度行为。这种推广旨在研究孔隙中固体生长产生的各向异性内应力,同时恢复各向同性流体诱导加载作为特殊情况。为此,提出了一种以热力学一致形式定义本构张量的数学策略,从而为通过先进的实验或微观力学模型确定多孔固体的孔隙力学特性提供了新的机会。该框架是通过建立单一孔隙-基质相互作用的弹性解,以及通过考虑相同孔隙之间相互作用的均匀化方案来实现的。特别地,采用第二Eshelby溶液和Tanaka-Mori-Benveniste均质格式推导了微孔弹性模型。在元素尺度上,通过复制不同的地质材料测试场景,在混合控制条件下对模型进行了测试。此外,模型特征概述了参考非弹性微观载荷复制化学机械强迫,如膨胀晶体的形成。通过一系列参数分析表明,孔隙的微观结构对多孔介质的性能有显著影响。最值得注意的是,研究表明,孔隙内固体形成的影响以一种高度非线性的方式取决于非均质性的本构特征,因此,如果没有模型捕捉孔隙、非均质性和基体之间不同的多尺度相互作用,则无法轻易量化或预测。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

A Poromechanical Framework for Internal Interactions Induced by Solid Inclusions

A Poromechanical Framework for Internal Interactions Induced by Solid Inclusions

The framework of poromechanics is generalized to simulate the multiscale behavior of porous media subjected to internal loadings stemming from the growth of solid inclusions. This generalization is designed to enable the study of anisotropic internal stress generation from solid growth within the pores, while recovering isotropic fluid-induced loading as a particular case. For this purpose, a mathematical strategy to define constitutive tensors in a thermodynamically consistent form is proposed, thus offering new opportunities for determining the poromechanical properties of a porous solid through advanced experimentation or micromechanical models. The framework is specialized by means of established elastic solutions for single pore–matrix interaction, as well as through homogenization schemes considering the interaction among congruent pores. In particular, the second Eshelby solution and the Tanaka–Mori–Benveniste homogenization scheme are used to derive a microporoelastic model. At an elemental scale, the model is tested under mixed control conditions by replicating different scenarios of geomaterial testing. In addition, the model characteristics are outlined with reference to inelastic microscopic loadings replicating chemo-mechanical forcing, such as expansive crystal formation. Through a series of parametric analyses, it is shown that the microstructure of the pores significantly influences the properties of porous media. Most notably, it is shown that the effects of a solid forming within the pores depend in a highly nonlinear fashion on the constitutive characteristics of the inhomogeneities and can therefore not be readily quantified or predicted without models capturing the diverse multiscale interactions among pores, inhomogeneities, and matrix.

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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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