Case studies in numerical simulation of crack trajectories in brittle materials
Statistical Fracture Mechanics, formalism of few natural ideas is applied to simulation of cracktrajectories in brittle material. The “diffusion approximation” of the crack diffusion model represents cracktrajectories as a one-dimensional Wiener process with advantage of well-developed mathematical...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2012-03-01
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| Series: | Fracture and Structural Integrity |
| Online Access: | https://212.237.37.202/index.php/fis/article/view/135 |
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| author | H. Jasarevic S. Gagula |
| author_facet | H. Jasarevic S. Gagula |
| author_sort | H. Jasarevic |
| collection | DOAJ |
| description | Statistical Fracture Mechanics, formalism of few natural ideas is applied to simulation of cracktrajectories in brittle material. The “diffusion approximation” of the crack diffusion model represents cracktrajectories as a one-dimensional Wiener process with advantage of well-developed mathematical formalismand simplicity of creating computer generated realizations (fractal dimension d = 1.5). However, the most ofreported d values are in the range 1.1-1.3. As a result, fractional integration of Wiener processes is applied forlowering d and to generate computer simulated trajectories. Case studies on numerical simulation ofexperimentally observed crack trajectories in sandstone (discs tested in indirect tensile strength test) andconcrete (compact tension specimens tested in the quasi-static splitting tensile test) are presented here. |
| format | Article |
| id | doaj-art-0183f03dce994007a16f38ebc2835a41 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2012-03-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-0183f03dce994007a16f38ebc2835a412025-01-02T23:00:55ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932012-03-01620Case studies in numerical simulation of crack trajectories in brittle materialsH. JasarevicS. GagulaStatistical Fracture Mechanics, formalism of few natural ideas is applied to simulation of cracktrajectories in brittle material. The “diffusion approximation” of the crack diffusion model represents cracktrajectories as a one-dimensional Wiener process with advantage of well-developed mathematical formalismand simplicity of creating computer generated realizations (fractal dimension d = 1.5). However, the most ofreported d values are in the range 1.1-1.3. As a result, fractional integration of Wiener processes is applied forlowering d and to generate computer simulated trajectories. Case studies on numerical simulation ofexperimentally observed crack trajectories in sandstone (discs tested in indirect tensile strength test) andconcrete (compact tension specimens tested in the quasi-static splitting tensile test) are presented here.https://212.237.37.202/index.php/fis/article/view/135 |
| spellingShingle | H. Jasarevic S. Gagula Case studies in numerical simulation of crack trajectories in brittle materials Fracture and Structural Integrity |
| title | Case studies in numerical simulation of crack trajectories in brittle materials |
| title_full | Case studies in numerical simulation of crack trajectories in brittle materials |
| title_fullStr | Case studies in numerical simulation of crack trajectories in brittle materials |
| title_full_unstemmed | Case studies in numerical simulation of crack trajectories in brittle materials |
| title_short | Case studies in numerical simulation of crack trajectories in brittle materials |
| title_sort | case studies in numerical simulation of crack trajectories in brittle materials |
| url | https://212.237.37.202/index.php/fis/article/view/135 |
| work_keys_str_mv | AT hjasarevic casestudiesinnumericalsimulationofcracktrajectoriesinbrittlematerials AT sgagula casestudiesinnumericalsimulationofcracktrajectoriesinbrittlematerials |