학술논문
SOLUTION OF PERIODIC BOUNDARY-VALUE PROBLEMS OF THE SPATIAL THEORY OF ELASTICITY IN THE VECTOR FORM
Document Type
Academic Journal
Author
Source
Journal of Mathematical Sciences. September 1, 2019, Vol. 241 Issue 3, p306, 12 p.
Subject
Language
English
ISSN
1072-3374
Abstract
We discuss boundary-value problems for the system of equations of the spatial theory of elasticity in the class of double-periodic functions and obtain a general solution of the system. We distinguish six types of elementary Floquet waves and examine their energy characteristics. We consider fundamental boundary-value problems in the half-space in the vector form. The diffraction problem for an elastic wave on a periodic system of defects in the vector form is reduced to the paired summator functional equation. Keywords and phrases: periodic system, theory of elasticity, Floquet wave.
UDC 517.912, 517.958:539.3 CONTENTS 1. Solutions Quasiperiodic on Two Variables of the Equations of Three-Dimensional Elasticity Theory 2. Energetic Characteristics of Elastic Waves 3. Boundary-Value Problems for the System of [...]
UDC 517.912, 517.958:539.3 CONTENTS 1. Solutions Quasiperiodic on Two Variables of the Equations of Three-Dimensional Elasticity Theory 2. Energetic Characteristics of Elastic Waves 3. Boundary-Value Problems for the System of [...]