LONGITUDINAL SHIFT OF CONNECTING AND INCLUSION IN COMPOSITES, DECOMPOSED BY TWO–PERIODIC RECTANGULAR CRACKS

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Название журнала: Восточно Европейский Научный Журнал, Выпуск: , Том: , Страницы в выпуске: -
Автор: Mehtiyev R.K. сandidate of Physical and Mathematical sciences, рrofessor сathedral of тechnology of materials, Azerbaijan Technical University
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Анотация: Abstract: A doubly periodic lattice with circular apertures of a plane filled with washers without tension from an isotropic elastic material whose surface is uniformly covered with a uniform film is considered. Each fiber and medium (binder) is weakened by straight-line cracks. Each washer has a centrally located crack, the length of which is less than the diameter of the washer. The presented stresses and their displacements are expressed in terms of the analytical function. The solution is based on the well-known proposition that the displacement in the case of anti-plane shear is a harmonic function. The well-known representation of the solution in each area is applied through the corresponding complex analytic function. Three analytic functions are represented by Laurent series. Satisfying the boundary condition on the contours of the holes and the cracks, the problem reduces to two infinite algebraic systems with respect to the desired coefficients and two singular integral equations with a Cauchy – type kernel. Then the singular integral equation by the Multhopp –Qalandia method is reduced to a finite algebraic system of equations. The procedure for calculating the stress intensity factors is given. For the numerical implementation of the described method, we took the cases of the location of the holes at the vertices of the triangular and square grids. The numerical implementation of the above method is given at IBM. The results of calculations of the critical load depending on the crack length and elastic geometric parameters of the perforated medium are presented.
Ключевые слова: Keywords: isotropically elastic material, doubly periodic lattice, rectilinear cracks, stress intensity factor, average stress, critical load, circular hole, longitudinal shift:  
Данные для цитирования: Mehtiyev R.K. сandidate of Physical and Mathematical sciences, рrofessor сathedral of тechnology of materials, Azerbaijan Technical University, . LONGITUDINAL SHIFT OF CONNECTING AND INCLUSION IN COMPOSITES, DECOMPOSED BY TWO–PERIODIC RECTANGULAR CRACKS. Восточно Европейский Научный Журнал. Физико-математические науки. ; ():-.



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