Main relationships for calculating an elastic field in a medium with spheric embeddings

• Date: 2017
• Author Affiliations: Ю. Ф. Дiденко — Київський нацiональнiй торговельно-економiчний унiверситет; В. I. Денисенко — Київський нацiональнiй торговельно-економiчний унiверситет
• Keywords: keywords
• Main Authors: Didenko, Yu. F., Denysenko, V. I., Диденко, Ю. Ф., Денисенко, В. И., Дiденко, Ю. Ф., Денисенко, В. I.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/44
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

The task of equilibrium in elastic medium containing an infinite set of rigid spherical particles led to infinite systems of algebraic equations when conversion formula of external solution of the Lame’s equation was used for transition to a new coordinate system. It is shown how to simplify express...