Математичне моделювання і аналіз напруженого стану в ортотропному п’єзоелектричному середовищі з круговою тріщиною

A mathematical model for the analysis of the stress state in an orthotropic electroelastic material with a circular (penny-shaped) crack is developed. The model is based on the consideration of the coupled system of electroelasticity equations. The problem on electric and stress states in orthotropi...

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Збережено в:
Бібліографічні деталі
Дата:2017
Автори: Kirilyuk, Vitaliy, Levchuk, Olga, Gavrilenko, Olena
Формат: Стаття
Мова:rus
Опубліковано: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2017
Теми:
Онлайн доступ:http://journal.iasa.kpi.ua/article/view/106880
Теги: Додати тег
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Назва журналу:System research and information technologies

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System research and information technologies
Опис
Резюме:A mathematical model for the analysis of the stress state in an orthotropic electroelastic material with a circular (penny-shaped) crack is developed. The model is based on the consideration of the coupled system of electroelasticity equations. The problem on electric and stress states in orthotropic piezoelectric space with an elliptical crack under the force and electric loading was considered. The solution of the problem was obtained by means of using of the triple Fourier transform and Fourier image of Green's function for an infinite orthotropic piezoelectric medium. The approach was tested in the case of the location crack in the isotropy plane of transversely isotropic piezoelectric material for which there was an exact solution of the problem. The comparison of the calculated results confirmed the high efficiency of the used approach. Numerical experiments were conducted and distributions of stress intensity factors along elliptical crack front in orthotropic piezoelectric materials and elastic orthotropic materials under uniform force loading were investigated.