| Abstracts: | The article considers the application of the method of initial functions in the space of Fourier transforms to solving problems for a plane with a displacement discontinuity. Evensymmetric and odd-symmetric deformations relative to the crack axis are considered. The final solutions to all the problems are represented in the form of improper integrals. Examples are given in which three types of discontinuities are considered, differing in the smoothness of the discontinuity contour near its ends. The solutions are obtained quickly, simply and, unlike the classical solution, without using the theory of functions of a complex variable.
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| The contact details of authors: | Kerzhaev Alexander Petrovich,
Cand. Sc. (Phys.-Math.), Senior Researcher, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia.
Menshova Irina Vladimirovna,
Cand. Sc. (Phys.-Math.), Senior Researcher, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia; Associate Professor, Bauman Moscow State Technical University, Moscow, Russia.
Nikitin Andrey Vitalievich,
Cand. Sc. (Phys.-Math.), Associate Professor, Cheboksary Institute (Branch) of the Moscow Polytechnic University, Cheboksary, Russia.
Samsonov Alexey Mikhailovich,
Senior Lecturer, Cheboksary Institute (Branch) of the Moscow Polytechnic University, Cheboksary, Russia.
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Russian
English