An isotropic self-consistent homogenization scheme for chemo-mechanical healing driven by pressure solution in halite

An isotropic self-consistent homogenization scheme for chemo-mechanical healing driven by pressure solution in halite
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岩盐压力溶液驱动化学机械愈合的各向同性自洽均质化方案

DOI:
10.1016/j.ijsolstr.2018.11.010
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发表时间:
2019
影响因子:
3.6
通讯作者:
Arson, Chloé
Arson, Chloé
中科院分区:
工程技术2区
文献类型:
--
作者:
Shen, Xianda;Arson, Chloé

文献摘要

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机械愈合是指受损材料恢复机械硬度和强度的过程。加压溶液是一种非常有效的愈合机制,在晶体介质中很常见。化学反应开始于微结构缺陷的位置,这在分离固体和气孔相的均化方案中很难解释,这是经典的情况。在这里,我们提出了一个新的化学-机械均一化模型,其中包裹体不是一个颗粒,而是一个包含孔洞和间断的空间,在那里发生了化学过程。严格建立了质量和能量平衡方程来预测每个夹杂物的化学本征应变,再加上弹性变形,得到了每个夹杂物的微观应变。从那里,希尔的包含-矩阵相互作用定律被用来在代表性基本体积(REV)的尺度上提升应变和应力。根据发表在盐岩文献中的实验结果,对该模型进行了校准。随后的敏感性分析表明,在具有相同孔隙率但夹杂物具有不同初始空隙大小的样品中,具有较大空隙的夹杂物的愈合率可以忽略不计,它们正在减慢REV的总体愈合率。孔洞大小均匀分布的试件具有最高的愈合率。此外,愈合速度随着初始孔隙率的增加而增加,但最终孔隙率的变化并不取决于样品的初始孔隙率。作为高初始孔隙度的转数的一部分,包裹体中存在较高的主应力。夹杂物越小(即颗粒越小),主应力分布越广,愈合率越高。所提出的均化方法为在非均质介质中扩大化学机械过程的许多未来发展铺平了道路,并可用于设计自修复材料。
Mechanical healing is the process by which a damaged material recovers mechanical stiffness and strength. Pressure solution is a very effective healing mechanism, common in crystalline media. Chemical reactions initiate at the location of microstructure defects, which would be very difficult to account for in a homogenization scheme that separates the solid and the pore phases, as is classically the case. Here, we propose a novel chemo-mechanical homogenization model in which the inclusion is not a grain, but rather, a space that contains a pore and discontinuities, where chemical processes take place. Mass and energy balance equations are rigorously established to predict the chemical eigenstrain of each inclusion, which, added to the elastic deformation, provides the microstrain of each inclusion. From there, Hill’s inclusion-matrix interaction law is used to upscale strains and stresses at the scale of a Representative Elementary Volume (REV). The model was calibrated against experimental results published in the literature for salt rock. Subsequent sensitivity analyses show that in samples with same porosity but with inclusions that have different initial void sizes, inclusions with larger voids have a negligible healing rate and they are slowing down the overall healing rate of the REV. The highest healing rate is reached in samples with uniformly distributed void sizes. In addition, the healing rate increases with the initial porosity, but the final porosity change does not depend on the initial porosity of the sample. Principal stresses of higher magnitude are noted in the inclusions that are part of REVs of high initial porosity. In specimens with smaller inclusions (i.e., smaller grains), principal stresses are more widely distributed in magnitude and the healing rate is higher. The proposed homogenization method paves the way to many future developments for upscaling chemo-mechanical processes in heterogeneous media, and can be used to design self-healing materials.
DOI: 10.1115/1.3162609
发表时间: 1982-12
期刊: Journal of Applied Mechanics
影响因子: --
作者:
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通讯作者: G. Weng
DOI: --
发表时间: 1990
期刊: Geological Society Special Publication
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作者:
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影响因子: 1.6
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DOI: 10.1002/2015jb012087
发表时间: 2015
期刊: Journal of Geophysical Research: Solid Earth
影响因子: --
作者:
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通讯作者: T. Vanorio
DOI: 10.1144/gsjgs.134.1.0057
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影响因子: 2.7
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