Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials

被引：2

作者：

Xi, Yanan ^{[1
]}

Wang, Lijie ^{[2
]}

Gao, Yun ^{[3
]}

Lei, Dong ^{[1
]}

机构：

[1] Hohai Univ, Coll Mech & Mat, Nanjing 211100, Peoples R China

[2] China Three Gorges Construct Engn Corp, Chengdu 610041, Peoples R China

[3] Xi An Jiao Tong Univ, Sch Human Settlements & Civil Engn, Xian 710049, Peoples R China

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 01期

关键词：

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;

D O I：

10.3390/fractalfract7010003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：19

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