Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials

Xi Yanan; Wang Lijie; Gao YunLei Dong

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Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials

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The design of a novel material necessitates a fundamental understanding of its structure-property relation. Inorganic porous materials (media) such as natural soil and rock, and artificial ceramic and cement, exhibit multifractal characteristics in view of their structural heterogeneity. This paper presents a numerical investigation of the effective elastic modulus of multifractal porous materials. Two types of deterministic and stochastic cascading algorithms are employed to synthesize the multifractal fields, and then a mathematical formula is proposed to perform the conversion from the intensity of a multifractal field to the local elastic modulus of a multifractal porous material. Furthermore, a finite element method is used to achieve the homogenization of the local elastic modulus. Special attention is paid to the dependence of the effective elastic modulus on the structural heterogeneity of multifractal porous materials.

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《fractal and fractional》 |2023年第1期|共19页
作者
Xi Yanan; Wang Lijie; Gao YunLei Dong;
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作者单位

Hohai Univ;

Xi An Jiao Tong Univ;

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原文格式 PDF
正文语种英语
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numerical investigation; multifractal porous materials; elastic modulus; structural heterogeneity; finite element method; INFINITELY DIVISIBLE CASCADES; WAVELET-BASED METHOD; CEMENT PASTE; EFFECTIVE PERMEABILITY; IMAGE-ANALYSIS; YOUNG MODULUS; PORE NETWORK; MODEL; POROSITY; MICROSTRUCTURE;

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机译：Effective elastic modulus of wet granular materials derived from modified effective medium approximation and proposal of an equation for the friction coefficient between the object and wet granular materials surfaces
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机译：Correlation Between Elastic Modulus, Shear Modulus, Poisson's Ratio and Porosity in Porous Materials
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机译：Correlation between elastic modulus, shear modulus, Poisson's ratio and porosity in porous materials
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机译：使用射频电浆辅助化学束磊晶成长氮化铟磊晶材料于表面氮化处理矽(111)基板之研究 =Investigation of Epi-InN Materials Grown on Surface Nitride Si (111) Substrate by RF-CBE
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机译：materialmodell没有。 72 foer Betong：Erfarenheter fran en Experimentell och Numberisk studie（material modell no.72 for concrete-Experience from a Experimental and Numerical study）。

Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials

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