Метод прямого вирізування у плоских задачах теорії пружності

The direct cutting-out method, developed earlier, was extended to the class of plane problems of the elasticity theory for bodies with cracks. The basis of the method consists in modeling the initial problem for a body with thin inhomogeneities, using the problem of elastic equilibrium of a body wit...

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Bibliographic Details
Date:2018
Main Authors: Васільєв, К. В.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів, Сулим, Г. Т.; Львівський національний університет ім. Івана Франка, Львів
Format: Article
Language:Ukrainian
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2018
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Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2470
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Journal Title:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky
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Summary:The direct cutting-out method, developed earlier, was extended to the class of plane problems of the elasticity theory for bodies with cracks. The basis of the method consists in modeling the initial problem for a body with thin inhomogeneities, using the problem of elastic equilibrium of a body with simpler geometric shape and an increased number of finite defects, which form the boundaries of the investigated body. The reliability, accuracy, and effectiveness of the proposed approach were analyzed on examples of studying the problems of elastic equilibrium of a half-plane, a strip and a wedge with a crack under the action of a symmetric load. Cite as: Vasil’ev K. V., Sulym H. T. Direct cutting-out method in plane problems of elasticity theory // Appl. Probl. Mech. Math. – 2017. – No. 15. – С. 89–96. [In Ukrainian]