Metadata (abstracts and keywords) for the articles in the journal
Semenova I. A. Examples of analytical solutions is inversely symmetric boundary-value problem of elasticity theory in rectangle // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2015. № 1(23). p. 85-95
Author(s):
Semenova I. A.
Index of UDK:
539.3
DOI:
Title:
Examples of analytical solutions is inversely symmetric boundary-value problem of elasticity theory in rectangle
The problem of solving the biharmonic equation in a finite canonical domains with corner points of the boundary (biharmonic problem) exists almost 200 years (see the review [1]). Interest in the decisions in the box did not cease ever, reaching a peak in 1940-1980 years. First of all, thanks to the Soviet school of mathematics and mechanics. At this time it was published not less than two thousand works, in one way or another connected with the construction of analytical solutions for the rectangle. But the exact solution was obtained. The task is usually reduced to the infinite system does not decay algebraic solutions. In this paper, based on the methods developed in [2]–[7], built analytical solution and gives two examples.
The contact details of authors:
Semenova, Irina Alexandrovna
Postgraduate student, Departament of Mathematical Analysis, I. Yakovlev Chuvash State Pedagogical University, Cheboksary
Russian
English