Effective Diffusivity of Porous Materials with Microcracks: Self-Similar Mean-Field Homogenization and Pixel Finite Element Simulations
Effective Diffusivity of Porous Materials with Microcracks: Self-Similar Mean-Field Homogenization and Pixel Finite Element Simulations
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DOI：
10.1007/s11242-018-1126-y
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发表时间：
2018-07
影响因子：
2.7
通讯作者：
J. Timothy;G. Meschke
中科院分区：
文献类型：
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作者：
J. Timothy;G. Meschke
我们调查的影响，分布式微裂纹的整体扩散性能的多孔材料使用自相似级联连续微观力学模型的框架内的平均场均匀化和计算均匀化的扩散模拟，使用高分辨率像素有限元方法。除了各向同性，也被认为是各向异性裂纹分布。级联连续介质微观力学模型和数值模拟结果的比较提供了一个更深入的了解定性的输运特性，如裂纹密度的复杂性和裂纹网络的连通性的影响。分析表明，无序微裂纹分布的有效扩散系数与裂纹的绝对长度尺度无关。据观察，微裂纹材料的总体有效扩散率与微裂纹在运输方向上的取向不一定高于具有随机取向的微裂纹的材料，独立的微裂纹密度。
We investigate the influence of distributed microcracks on the overall diffusion properties of a porous material using the self-similar cascade continuum micromechanics model within the framework of mean-field homogenization and computational homogenization of diffusion simulations using a high-resolution pixel finite element method. In addition to isotropic, also anisotropic crack distributions are considered. The comparison of the results from the cascade continuum micromechanics model and the numerical simulations provides a deeper insight into the qualitative transport characteristics such as the influence of the crack density on the complexity and connectivity of crack networks. The analysis shows that the effective diffusivity for a disordered microcrack distribution is independent of the absolute length scale of the cracks. It is observed that the overall effective diffusivity of a microcracked material with the microcracks oriented in the direction of transport is not necessarily higher than that of a material with a random orientation of microcracks, independent of the microcrack density.