A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning Strikes
A semi-analytical solution for forecasting the soil behavior induced by lightning strikes is of great engineering significance to calculate the radius of the soil plastic zone. In this paper, a simplified two-stage method is employed to solve the shock wave pressure and the radius of the soil plasti...
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MDPI AG
2022-03-01
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| Online Access: | https://www.mdpi.com/1996-1944/15/6/2239 |
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| author | Zhilin Wu Pingping Rao Sanjay Nimbalkar Qingsheng Chen Jifei Cui Peihao Ouyang |
| author_facet | Zhilin Wu Pingping Rao Sanjay Nimbalkar Qingsheng Chen Jifei Cui Peihao Ouyang |
| author_sort | Zhilin Wu |
| collection | DOAJ |
| description | A semi-analytical solution for forecasting the soil behavior induced by lightning strikes is of great engineering significance to calculate the radius of the soil plastic zone. In this paper, a simplified two-stage method is employed to solve the shock wave pressure and the radius of the soil plastic zone. The solution is verified against experimental data. Using the present model, the major factors dominating the shock wave pressure and the radius of the soil plastic zone are investigated. The results show that (1) the radius of the soil plastic zone (<i>r<sub>p</sub></i>) induced by lightning decreases monotonically with cohesion (<i>c</i>) and internal friction angle (<i>φ</i>), while <i>c</i> has a better effect on soil properties than <i>φ</i> does; (2) increasing the initial radius of the plasma channel (<i>r<sub>i</sub></i><sub>0</sub>) can reduce the pressure (<i>P</i>) and increasing <i>r<sub>i</sub></i><sub>0</sub> has a nonnegligible effect on <i>r<sub>p</sub></i>; with <i>r<sub>i</sub></i><sub>0</sub> increasing by 100%, the radius of the soil plastic zone increases by 47.9–59.7%; (3) the plasma channel length (<i>L</i>) has a significant influence on <i>P</i> and <i>r<sub>p</sub></i>, especially when <i>L</i> is at a relatively low level; (4) the <i>r<sub>p</sub></i> induced by lightning decreases exponentially with attenuation coefficient (<i>a</i>); (5) the wavefront time is a major factor while the half-value time is a minor factor for the shock wave pressure induced by plasma explosives. |
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| language | English |
| last_indexed | 2024-03-09T13:28:06Z |
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| series | Materials |
| spelling | doaj.art-4c4789601fc345319c792014132ddc892023-11-30T21:21:39ZengMDPI AGMaterials1996-19442022-03-01156223910.3390/ma15062239A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning StrikesZhilin Wu0Pingping Rao1Sanjay Nimbalkar2Qingsheng Chen3Jifei Cui4Peihao Ouyang5Department of Civil Engineering, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, ChinaDepartment of Civil Engineering, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, ChinaSchool of Civil and Environmental Engineering, University of Technology Sydney, 15 Broadway, Ultimo, NSW 2007, AustraliaTechnology Research Center of Ecological Road Engineering, Hubei University of Technology, Wuhan 430068, ChinaDepartment of Civil Engineering, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, ChinaDepartment of Civil Engineering, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, ChinaA semi-analytical solution for forecasting the soil behavior induced by lightning strikes is of great engineering significance to calculate the radius of the soil plastic zone. In this paper, a simplified two-stage method is employed to solve the shock wave pressure and the radius of the soil plastic zone. The solution is verified against experimental data. Using the present model, the major factors dominating the shock wave pressure and the radius of the soil plastic zone are investigated. The results show that (1) the radius of the soil plastic zone (<i>r<sub>p</sub></i>) induced by lightning decreases monotonically with cohesion (<i>c</i>) and internal friction angle (<i>φ</i>), while <i>c</i> has a better effect on soil properties than <i>φ</i> does; (2) increasing the initial radius of the plasma channel (<i>r<sub>i</sub></i><sub>0</sub>) can reduce the pressure (<i>P</i>) and increasing <i>r<sub>i</sub></i><sub>0</sub> has a nonnegligible effect on <i>r<sub>p</sub></i>; with <i>r<sub>i</sub></i><sub>0</sub> increasing by 100%, the radius of the soil plastic zone increases by 47.9–59.7%; (3) the plasma channel length (<i>L</i>) has a significant influence on <i>P</i> and <i>r<sub>p</sub></i>, especially when <i>L</i> is at a relatively low level; (4) the <i>r<sub>p</sub></i> induced by lightning decreases exponentially with attenuation coefficient (<i>a</i>); (5) the wavefront time is a major factor while the half-value time is a minor factor for the shock wave pressure induced by plasma explosives.https://www.mdpi.com/1996-1944/15/6/2239semi-analytical solutionlightning strikesshock wave pressureradius of soil plastic zoneplasma explosive |
| spellingShingle | Zhilin Wu Pingping Rao Sanjay Nimbalkar Qingsheng Chen Jifei Cui Peihao Ouyang A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning Strikes Materials semi-analytical solution lightning strikes shock wave pressure radius of soil plastic zone plasma explosive |
| title | A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning Strikes |
| title_full | A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning Strikes |
| title_fullStr | A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning Strikes |
| title_full_unstemmed | A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning Strikes |
| title_short | A Semi-Analytical Solution for Shock Wave Pressure and Radius of Soil Plastic Zone Induced by Lightning Strikes |
| title_sort | semi analytical solution for shock wave pressure and radius of soil plastic zone induced by lightning strikes |
| topic | semi-analytical solution lightning strikes shock wave pressure radius of soil plastic zone plasma explosive |
| url | https://www.mdpi.com/1996-1944/15/6/2239 |
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