heterogeneous composite strip, the method of initial functions, integral transform of Fourier.

In articles [1], [2] for the various examples the effectiveness of applying the method of initial functions [3] recorded in the space of Fourier transforms to solve boundary value problems of the theory of elasticity in an infinite strip was demonstrated. Thanks to the representability of operators of infinite differentiation of the method of initial functions in minimized form, the solution of the boundary value problem for strip is very simple written in the form of improper integrals of compact expressions which is the inverse Fourier transforms of meromorphic functions. The numerators and denominators of these functions are linear combinations of compositions of operators. As a rule, the integrals converge well, and their numerical implementation, for example, by means of MATHCAD is not difficult. The solution can also be represented in the form of series in the functions of Fadle – Papkovich (eigenfunctions of the considered boundary value problem) using the theorem of residues.

In this work, the same approach is applied to the solution of the problem for an infinite strip, glued together from strips with different modulus of elasticity. Fundamental difficulties in solving this task does not exist. However, even in the case of two strips with different modulus of elasticity, the intermediate calculations appear to be very cumbersome, and for a larger number of strips is practically not feasible. The fact that operators of the method of initial functions are represented in closed form, enables the use of symbolic mathematics of MATHCAD, not particularly worrying about the number of bonded strips and without worrying about intermediate transformations. Regardless of the number of plies, type of an entire function, standing in the denominator meromorphic function included under the sign of the integral in inverse Fourier transformation, will always be higher the type of an entire function in the numerator. Therefore, the integrals converge. They can diverge only at zero. In this case, the singularity at zero is necessary to select, as it was shown in articles [1], [2].

Menshova Irina Vladimirovna

e-mail: menshovairina@yandex.ru, Candidate of Phys. & Math., Senior Researcher, Laboratory of Geodynamics, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia.

Kerzhaev Alexandr Petrovich

e-mail: alex_kerg@mail.ru, Candidate of Phys. & Math., Senior Researcher, Laboratory of Geodynamics, Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences, Moscow, Russia.

Nikitin Andrey Vital’evich

e-mail: Ligalas5@mail.ru, Candidate of Phys. & Math., lecturer of Informatics and Computer Engineering Department, I. Yakovlev Chuvash State Pedagogical University, Cheboksary, Russia.