用于多尺度异质材料建模的随机周期微结构

IF 2.7 3区 工程技术 Q3 ENGINEERING, CHEMICAL
Evan John Ricketts
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引用次数: 0

摘要

摘要普鲁里高斯模拟是一种离散随机场生成方法,可用于生成许多描绘现实世界结构的复杂几何图形。虽然它通常应用于较大尺度的地质现象,但这种高度灵活的方法适用于生成各种尺度的结构。本文介绍了将多高斯模拟扩展到周期多高斯模拟(P-PGS)的方法,从而使生成的场具有周期性。通过使用周期性高斯随机场作为该方法的组成部分,生成的结构具有周期性。为了证实 P-PGS 能够以一种有物理意义的方式捕捉复杂的异质性,对水泥浆的孔隙尺度微观结构进行了表示,以便通过计算均质化方法计算其有效特性。采用有限元法模拟干燥和饱和孔隙条件下热量在介质中的扩散,并通过数值均质化计算介质的有效热导率。计算值与实验观测值的比较表明,生成的微观结构与孔隙尺度非常接近,因此适合用于表示孔隙尺度。根据数值计算得出的砂浆膏的有效导热率,在充满空气的孔隙中,最大误差为 1.38%,而在充满水的孔隙中,最大误差为 0.41%。文章亮点将 P-PGS 集成到数值均质化框架中可增强复杂异质材料的表示P-PGS 的灵活性可准确表示各种材料的微观结构使用生成的结构可通过数值均质化准确估算材料特性
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Stochastic Periodic Microstructures for Multiscale Modelling of Heterogeneous Materials

Stochastic Periodic Microstructures for Multiscale Modelling of Heterogeneous Materials

Plurigaussian simulation is a method of discrete random field generation that can be used to generate many complex geometries depicting real world structures. Whilst it is commonly applied at larger scales to represent geological phenomena, the highly flexible approach is suitable for generating structures at all scales. Here, an extension of plurigaussian simulation to periodic plurigaussian simulation (P-PGS) is presented, such that the resulting fields are periodic in nature. By using periodic Gaussian random fields as components of the method, periodicity is enforced in the generated structures. To substantiate the use of P-PGS in capturing complex heterogeneities in a physically meaningful way, the pore-scale microstructure of cement paste was represented such that its effective properties can be calculated through a computational homogenisation approach. The finite element method is employed to model the diffusion of heat through the medium under dry and saturated pore conditions, where numerical homogenisation is conducted to calculate the effective thermal conductivity of the medium. Comparison of the calculated values with experimental observations indicated that the generated microstructures are suitable for pore-scale representation, given their close match. A maximal error of 1.38% was observed in relation to the numerically determined effective thermal conductivity of mortar paste with air filled pores, and 0.41% when considering water filled pores. As the assumption of a periodic domain is often an underlying feature of numerical homogenisation, this extension of plurigaussian simulation enables a path for its integration into such computational schemes.

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来源期刊
Transport in Porous Media
Transport in Porous Media 工程技术-工程:化工
CiteScore
5.30
自引率
7.40%
发文量
155
审稿时长
4.2 months
期刊介绍: -Publishes original research on physical, chemical, and biological aspects of transport in porous media- Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)- Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications- Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes- Expanded in 2007 from 12 to 15 issues per year. Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).
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