In this study, a new mathematical model based on fractal theory has been developed to predict the servicelife of cracks. The model covers the entire life cycle of a crack, from its initiation to its critical length. A mathematicalmodel grounded in kinetic theory has been formulated and expressed as a differential equation, and its integral form hasbeen solved. The main innovation of the model is the introduction of the fractal dimension parameter Dₛ, which makesit possible to account for the complex geometry of the crack surface. The accuracy of the model has been confirmedthrough computer experiments, showing R² = 0.96. The proposed model is an effective tool for assessing the long-termbehavior of construction materials.
| Mualliflar | Sh. A. Anarova, M. N. Samidov |
|---|---|
| Jurnal | Innovation science and technologiy |
| Nashr sanasi | 2025-11-01 |
| Jild | 1 |
| Son | 11 |
| Til | Ingliz |
| DOI | 10.5281/zenodo.17780993 |
DOI: 10.5281/zenodo.17780993 · Maqolaning asl sahifasi
fractal, criterion, strength, mathematical model, crack, critical stress
Ushbu maqolada mamlakatimizda turizm sohasini rivojlantirishda innovatsion texnologiyalardan, xususan,bugungi kunda ushbu sohada tizimli ma’lumotlar bilan ishlash uchun eng qulay bo‘lgan Big Data…
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