Registration Number
0224U032977,
(0121U111664)
, R & D reports
Title
Static and dynamic problems for canonical bodies with defects
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Статичні та динамічні задачі для тіл канонічної форми з дефектами
Head
Vaisfeld Nataliia D., Доктор фізико-математичних наук
Registration Date
13-12-2024
Organization
Odesa I.I. Mechnikov National University
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Development of the new methods for solving static and dynamic elasticity problems for canonical bodies with defects
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The new methods for solving static and dynamic elasticity problems for canonical bodies with defects, so as porous mediums, have been developed. It was proposed to solve problems by the method of integral transformations, due to which the initial problem was reduced to a vector one-dimensional boundary value problem. This problem can be solved using matrix differential calculus. The singular integral equation obtained in the process with respect to the unknown displacement or stress was solved using the method of orthogonal polynomials, resulting in an infinite system of linear algebraic equations of the first or second kind. The application of the inverse integral transformation gives the solution of the initial problem.
Product Description
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Vaisfeld Nataliia D.
Zhuravlova Zinaida Yu.
Protserov Yurii S.
Tolkachev Andrii V.
Fesenko Hanna A.
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2024-12-13
