Міжфазне пластичне відшаровування прямокутного включення за умови його однобічного контакту з середовищем: Fìz.-mat. model. ìnf. tehnol. 2018, 27:80-87

• Дата: 2019
• Автори: Kryven’, Vasyl, Valiashek, Volodymyr, Tsymbaliuk, Lubov, Boyko, Andriy
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2019
• Теми: прямокутне включення; пластичне відшаровування; аналітичний розв’язок; конформне відображення
• Онлайн доступ: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/117
• Назва журналу: Physico-mathematical modeling and informational technologies

The numerical-analytic solution of the problem for quasi-static plastic exfoliation of the rigid rectangular inclusion is found, one pair of parallel planes free from contact with the basic medium, and the second one to the load is in the ideal mechanical contact with it. The material of the basic medium is perfectly elastic-plastic.The strain-stress state (SSS) is caused by shear loads applied at the infinity parallel to the contactless inclusion planes. Plastic deformations are localized on the boundary of the inclusion-medium and are developed from the inclusion peaks along the planes, previously adhesively bound to the medium.Plasticity conditions are achieved only in the bands of the interphase exfoliation. The SSS definition is reduced to the nonlinear boundary value problem of the analytical functions theory solved due to the angle diagrams. The function of stresses is determined, the dependence of the lengths between the phase plastic bands on the load rate is found.It is shown that the development of plastic deformations according to the scheme of single-band plastic peeling is possible only in case when the length of the contactless plane pair is not less than the length of their second pair. References Kryven', V. A., Sulym, H. T. (2002). Rozvytok zon plastychnosti bilia odnostoronno vidsharovanoho tonkoho vkliuchennia pry zsuvi, paralelnomu vkliuchenniu. Mashynoznavstvo, 1, 26-30. Kryven’, V., Valyashek, V. (2010). Initial stage of plastic exfoliation of a rectangular inclusion under conditions of one-sided contact with a medium. Journal of Mathematical Sciences, 171(4), 107–116. Kryven', V. A., Boiko, A. R. (2014). Plastychne vidsharuvannia zhorstkoho pivbezmezhnoho vkliuchennia skinchennoi shyryny pid zsuvnym navantazhenniam za naiavnosti mizhfaznykh trishchyn. Fizyko-matematychne modeliuvannia ta informatsiini tekhnolohii, 19, 84–92. Kryven', V. A., Valiashek, V. B. (2010). Pochatkova stadiia plastychnoho vidsharovuvannia priamokutnoho vkliuchennia za umovy odnobichnoho kontaktu z seredovyshchem. Matematychni metody ta fizyko-mekhanichni polia, 53(4), 107-116. Savruk, M. P., Kazberuk, A. & Panasiuk, V. V. (Ed.). (2012). Mekhanika ruinuvannia ta mitsnist materialiv: Kontsentratsiia napruzhen u tverdykh tilakh z vyrizamydovidn. Lviv : SPOLOM. Sylovaniuk, V. P., Yukhym, R. Ya. (2007). Deformatsiia ta ruinuvannia materialiv bilia vkliuchen pid statychnym navantazhenniam tila. Fizyko-khimichna mekhanika materialiv, 6, 31–35. Koppenfels, V., Shtalman, F. & Volkovyiskiy, L. I. (Ed.). (1963). Praktika konformnyih otobrazheniy. Moskva: IL. Kryven', V. A., Hnatiuk, O. B., Hromiak,R. S. (2000). Antyploska deformatsiia idealno pruzhnoplastychnoho tila z zhorstkym priamokutnym vkliuchenniam. Fiz-khim. mekhanika materialiv, 6, 19-23.