Математичне моделювання электронапруженого стану ортотропного п’єзоелектричного тіла з довільно орієнтованою круговою тріщиною за одновісного розтягу

• Дата: 2018
• Автори: Kirilyuk, V. S., Levchuk, Olga I.
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2018
• Теми: mathematical modeling; coupled equations systems of electroelasticity; orthotropic piezoelectric materials; circular crack; arbitrary orientation; uniaxial tension; stress state; математическое моделирование; связанная система уравнений электроупругости; ортотропный пьезоэлектрический материал; круговая трещина; призвольная ориентация; однородные нагрузки; напряженное состояние; математичне моделювання; зв’язана система рівнянь електропружності; ортотропний п’єзоелектричний матеріал; кругова тріщина; довільна орієнтація; одновісний розтяг; напружений стан
• Онлайн доступ: http://journal.iasa.kpi.ua/article/view/150075
• Назва журналу: System research and information technologies

A mathematical model for the analysis of the stress state in an orthotropic electroelastic material with an arbitrary orientated circular crack is developed. The model is based on the consideration of the coupled system of equations of static electroelasticity. The problem on electric and stress states in orthotropic piezoelectric space with an arbitrary orientated circular crack under homogeneous loads was considered. The solution of the problem was obtained by means of the triple Fourier transform and Fourier image of Green's function for an infinite anisotropic piezoelectric medium. This 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 efficiency of the used approach. Numerical experiments were carried out and distributions of stress intensity factors along the front of the arbitrary orientated circular crack in orthotropic piezoelectric materials under the uniaxial tension were studied.