Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/1/3 |
| _version_ | 1797442402825273344 |
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| author | Yanan Xi Lijie Wang Yun Gao Dong Lei |
| author_facet | Yanan Xi Lijie Wang Yun Gao Dong Lei |
| author_sort | Yanan Xi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T12:41:20Z |
| format | Article |
| id | doaj.art-d8536bb4c9ed422e83d2fd5b3827303d |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T12:41:20Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-d8536bb4c9ed422e83d2fd5b3827303d2023-11-30T22:18:40ZengMDPI AGFractal and Fractional2504-31102022-12-0171310.3390/fractalfract7010003Numerical Investigation on Effective Elastic Modulus of Multifractal Porous MaterialsYanan Xi0Lijie Wang1Yun Gao2Dong Lei3College of Mechanics and Materials, Hohai University, Nanjing 211100, ChinaChina Three Gorges Construction Engineering Corporation, Chengdu 610041, ChinaSchool of Human Settlements and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaCollege of Mechanics and Materials, Hohai University, Nanjing 211100, ChinaThe 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.https://www.mdpi.com/2504-3110/7/1/3numerical investigationmultifractal porous materialselastic modulusstructural heterogeneityfinite element method |
| spellingShingle | Yanan Xi Lijie Wang Yun Gao Dong Lei Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials Fractal and Fractional numerical investigation multifractal porous materials elastic modulus structural heterogeneity finite element method |
| title | Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials |
| title_full | Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials |
| title_fullStr | Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials |
| title_full_unstemmed | Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials |
| title_short | Numerical Investigation on Effective Elastic Modulus of Multifractal Porous Materials |
| title_sort | numerical investigation on effective elastic modulus of multifractal porous materials |
| topic | numerical investigation multifractal porous materials elastic modulus structural heterogeneity finite element method |
| url | https://www.mdpi.com/2504-3110/7/1/3 |
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