The Effect of Preloaded Compressive Stress and Curvature of Defect on Blast-Induced Fracture Behavior by Caustic and Numerical Models
In this study, the effects of preloaded uniaxial compressive stress and defect (prefabricated by laser cutting) curvature on blast-induced cracks and stress wave propagation were investigated in polymethyl methacrylate (PMMA) specimens using caustics theory. Based on the mathematical relationship be...
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MDPI AG
2023-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/21/4532 |
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| author | Chen Huang Zong-Xian Zhang Adeyemi Aladejare Xianbo Guan Bingbing Yu Liyun Yang |
| author_facet | Chen Huang Zong-Xian Zhang Adeyemi Aladejare Xianbo Guan Bingbing Yu Liyun Yang |
| author_sort | Chen Huang |
| collection | DOAJ |
| description | In this study, the effects of preloaded uniaxial compressive stress and defect (prefabricated by laser cutting) curvature on blast-induced cracks and stress wave propagation were investigated in polymethyl methacrylate (PMMA) specimens using caustics theory. Based on the mathematical relationship between stress and optics, the fracture behavior (the propagation path, dynamic stress intensity factors (DSIFs), propagation velocity, initiation angle of the main crack, and damage degree between the defect and the blasthole) was calculated and analyzed quantitatively. The results show that the preloaded stress could mainly restrain the main crack propagation in the horizontal direction and reduce the initiation angle and damage degree at the defects. Meanwhile, the crack initiation position of the positive curvature defect was not at the end of the defect. In addition, the curvature of the defect significantly affected the blast-induced fracture compared to preloaded stresses. Comparing the main crack with other curvature defects, the DSIFs, velocity, crack arrest time, crack length, and horizontal offset distance of the main crack with negative curvature defect were the largest. The variation in the full stress field in the specimen under blasting and preloaded stress was simulated by a numerical model. The results show that the curvature of the defect has a significant effect on tensile waves at the end of defects, and the tensile stress from high to low was <i>C</i><sub>-25</sub>, <i>C</i><sub>0</sub>, and <i>C</i><sub>25</sub>, in that order. |
| first_indexed | 2024-03-11T11:25:09Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T11:25:09Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-36cd957a0bd54b8e9a2f8a8bc2e3fe242023-11-10T15:08:12ZengMDPI AGMathematics2227-73902023-11-011121453210.3390/math11214532The Effect of Preloaded Compressive Stress and Curvature of Defect on Blast-Induced Fracture Behavior by Caustic and Numerical ModelsChen Huang0Zong-Xian Zhang1Adeyemi Aladejare2Xianbo Guan3Bingbing Yu4Liyun Yang5School of Mechanics and Civil Engineering, China University of Mining and Technology-Beijing, Beijing 100083, ChinaOulu Mining School, University of Oulu, 90570 Oulu, FinlandOulu Mining School, University of Oulu, 90570 Oulu, FinlandOulu Mining School, University of Oulu, 90570 Oulu, FinlandSchool of Mechanics and Civil Engineering, China University of Mining and Technology-Beijing, Beijing 100083, ChinaSchool of Mechanics and Civil Engineering, China University of Mining and Technology-Beijing, Beijing 100083, ChinaIn this study, the effects of preloaded uniaxial compressive stress and defect (prefabricated by laser cutting) curvature on blast-induced cracks and stress wave propagation were investigated in polymethyl methacrylate (PMMA) specimens using caustics theory. Based on the mathematical relationship between stress and optics, the fracture behavior (the propagation path, dynamic stress intensity factors (DSIFs), propagation velocity, initiation angle of the main crack, and damage degree between the defect and the blasthole) was calculated and analyzed quantitatively. The results show that the preloaded stress could mainly restrain the main crack propagation in the horizontal direction and reduce the initiation angle and damage degree at the defects. Meanwhile, the crack initiation position of the positive curvature defect was not at the end of the defect. In addition, the curvature of the defect significantly affected the blast-induced fracture compared to preloaded stresses. Comparing the main crack with other curvature defects, the DSIFs, velocity, crack arrest time, crack length, and horizontal offset distance of the main crack with negative curvature defect were the largest. The variation in the full stress field in the specimen under blasting and preloaded stress was simulated by a numerical model. The results show that the curvature of the defect has a significant effect on tensile waves at the end of defects, and the tensile stress from high to low was <i>C</i><sub>-25</sub>, <i>C</i><sub>0</sub>, and <i>C</i><sub>25</sub>, in that order.https://www.mdpi.com/2227-7390/11/21/4532blastpreloaded compressive stressdefectcrack propagationstress intensity factors |
| spellingShingle | Chen Huang Zong-Xian Zhang Adeyemi Aladejare Xianbo Guan Bingbing Yu Liyun Yang The Effect of Preloaded Compressive Stress and Curvature of Defect on Blast-Induced Fracture Behavior by Caustic and Numerical Models Mathematics blast preloaded compressive stress defect crack propagation stress intensity factors |
| title | The Effect of Preloaded Compressive Stress and Curvature of Defect on Blast-Induced Fracture Behavior by Caustic and Numerical Models |
| title_full | The Effect of Preloaded Compressive Stress and Curvature of Defect on Blast-Induced Fracture Behavior by Caustic and Numerical Models |
| title_fullStr | The Effect of Preloaded Compressive Stress and Curvature of Defect on Blast-Induced Fracture Behavior by Caustic and Numerical Models |
| title_full_unstemmed | The Effect of Preloaded Compressive Stress and Curvature of Defect on Blast-Induced Fracture Behavior by Caustic and Numerical Models |
| title_short | The Effect of Preloaded Compressive Stress and Curvature of Defect on Blast-Induced Fracture Behavior by Caustic and Numerical Models |
| title_sort | effect of preloaded compressive stress and curvature of defect on blast induced fracture behavior by caustic and numerical models |
| topic | blast preloaded compressive stress defect crack propagation stress intensity factors |
| url | https://www.mdpi.com/2227-7390/11/21/4532 |
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