Solution of Periodic Boundary-Value Problems of the Spatial Theory of Elasticity in the Vector Form

Journal Article · Sat Sep 07 00:00:00 EDT 2019 · Journal of Mathematical Sciences

DOI:https://doi.org/10.1007/S10958-019-04425-4· OSTI ID:22921153

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.

• OSTI ID: 22921153
• Journal Information: Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 3 Vol. 241; ISSN JMTSEW; ISSN 1072-3374
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
BOUNDARY-VALUE PROBLEMS
DIFFRACTION
ELASTICITY
EQUATIONS
FUNCTIONS
MATHEMATICAL SOLUTIONS
PERIODIC SYSTEM
PERIODICITY
SPACE
VECTORS