Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests
Crushing of rock particles is a phenomenon commonly encountered in geotechnical engineering practice. It is however difficult to study the crushing of rock particles using classical theory because the physical structure of the particles is complex and irregular. This paper aims at evaluating fractal...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/537692 |
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| author | Yidong Wang Wenjiao Dan Yongfu Xu Yue Xi |
| author_facet | Yidong Wang Wenjiao Dan Yongfu Xu Yue Xi |
| author_sort | Yidong Wang |
| collection | DOAJ |
| description | Crushing of rock particles is a phenomenon commonly encountered in geotechnical engineering practice. It is however difficult to study the crushing of rock particles using classical theory because the physical structure of the particles is complex and irregular. This paper aims at evaluating fractal and morphological characteristics of single rock particle. A large number of particle crushing tests are conducted on single rock particle. The force-displacement curves and the particle size distributions (PSD) of crushed particles are analysed based on particle crushing tests. Particle shape plays an important role in both the micro- and macroscale responses of a granular assembly. The PSD of an assortment of rocks are analysed by fractal methods, and the fractal dimension is obtained. A theoretical formula for particle crushing strength is derived, utilising the fractal model, and a simple method is proposed for predicting the probability of particle survival based on the Weibull statistics. Based on a few physical assumptions, simple equations are derived for determining particle crushing energy. The results of applying these equations are tested against the actual experimental data and prove to be very consistent. Fractal theory is therefore applicable for analysis of particle crushing. |
| format | Article |
| id | doaj-art-36568c4829974c5a974f7c207bea9357 |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-36568c4829974c5a974f7c207bea93572025-02-03T06:42:01ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422015-01-01201510.1155/2015/537692537692Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression TestsYidong Wang0Wenjiao Dan1Yongfu Xu2Yue Xi3Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaDepartment of Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaCrushing of rock particles is a phenomenon commonly encountered in geotechnical engineering practice. It is however difficult to study the crushing of rock particles using classical theory because the physical structure of the particles is complex and irregular. This paper aims at evaluating fractal and morphological characteristics of single rock particle. A large number of particle crushing tests are conducted on single rock particle. The force-displacement curves and the particle size distributions (PSD) of crushed particles are analysed based on particle crushing tests. Particle shape plays an important role in both the micro- and macroscale responses of a granular assembly. The PSD of an assortment of rocks are analysed by fractal methods, and the fractal dimension is obtained. A theoretical formula for particle crushing strength is derived, utilising the fractal model, and a simple method is proposed for predicting the probability of particle survival based on the Weibull statistics. Based on a few physical assumptions, simple equations are derived for determining particle crushing energy. The results of applying these equations are tested against the actual experimental data and prove to be very consistent. Fractal theory is therefore applicable for analysis of particle crushing.http://dx.doi.org/10.1155/2015/537692 |
| spellingShingle | Yidong Wang Wenjiao Dan Yongfu Xu Yue Xi Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests Advances in Materials Science and Engineering |
| title | Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests |
| title_full | Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests |
| title_fullStr | Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests |
| title_full_unstemmed | Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests |
| title_short | Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests |
| title_sort | fractal and morphological characteristics of single marble particle crushing in uniaxial compression tests |
| url | http://dx.doi.org/10.1155/2015/537692 |
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