Academic Journal
FRACTAL MODEL OF DAMAGE ACCUMULATION IN SOLID BODES
| العنوان: | FRACTAL MODEL OF DAMAGE ACCUMULATION IN SOLID BODES |
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| المؤلفون: | Alim. Abed Al-Zobaede, Yu. V. Chigareva |
| المصدر: | Наука и техника, Vol 0, Iss 6, Pp 42-48 (2014) |
| بيانات النشر: | Belarusian National Technical University, 2014. |
| سنة النشر: | 2014 |
| المجموعة: | LCC:Technology |
| مصطلحات موضوعية: | structure damage, macdonald function, cantor model, damage accumulation, Technology |
| الوصف: | The paper considers a model of damage accumulation in parts of machines and structures which is based on a theory of fractals. Hidden process of destruction prior to the formation of macroscopic cracks is usually associated with the accumulation of micro-damages. Various models of damage accumulation and crack growth under the influence of power and thermal loads. However, models describing the accumulation process of micro-damages and their outgrowth into macro-crack are practically non-existent. Fractal structures with self-similarity are an adequate model of the fracture process. The MacDonald correlation function describing the medium structure allows to present the self-similarity of structures within a certain range of scales.The paper reviews models of damage accumulation near an opening in a composite medium and at layer boundaries. The Cantor model in a forward algorithm and a backward algorithm have been used in order to describe the model of damage accumulation. As it is known, the Cantor fractal (Cantor dust) is obtained by using a recursive algorithm being applied to fracture mechanics can be regarded as a model of stepwise formation of dispersed micro-damages. The process of damage accumulation (latent destruction phase) and its transition in the formation process of macro-cracks and their unification in a through-thickness crack can be described, for example, by the Paris' law. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | Russian |
| تدمد: | 2227-1031 2414-0392 |
| Relation: | https://sat.bntu.by/jour/article/view/12; https://doaj.org/toc/2227-1031; https://doaj.org/toc/2414-0392 |
| URL الوصول: | https://doaj.org/article/5ac06df475014af4b90c96fe38f3c811 |
| رقم الانضمام: | edsdoj.5ac06df475014af4b90c96fe38f3c811 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 22271031 24140392 |
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