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Wyświetlanie 1-4 z 4
Tytuł:
An interface crack with mixed electro-magnetic conditions at it faces in a piezoelectric / piezomagnetic bimaterial under anti-plane mechanical and in-plane electric loadings
Autorzy:
Onopriienko, O.
Loboda, V.
Sheveleva, A.
Lapusta, Y.
Powiązania:
https://bibliotekanauki.pl/articles/387097.pdf
Data publikacji:
2018
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
piezoelectromagnetic material
mode-iii interface crack
analytical solution
Opis:
An interface crack between two semi-infinite piezoelectric/piezomagnetic spaces under out-of-plane mechanical load and in-plane electrical and magnetic fields parallel to the crack faces is considered. Some part of the crack faces is assumed to be electrically conductive and having uniform distribution of magnetic potential whilst the remaining part of the crack faces is electrically and magnetically permeable. The mechanical, electrical, and magnetic factors are presented via functions which are analytic in the whole plane except the crack region. Due to these representations the combined Dirichlet-Riemann and Hilbert boundary value problems are formulated and solved in rather simple analytical form for any relation between conductive and permeable zone lengths. Resulting from this solution the analytical expressions for stress, electric and magnetic fields as well as for the crack faces displacement jump are presented. The singularities of the obtained solution at the crack tips and at the separation point of the mention zones are investigated and the formulas for the corresponding intensity factors are presented. The influence of external electric and magnetic fields upon the mechanic, electric and magnetic quantities at the crack region are illustrated in graph and table forms.
Źródło:
Acta Mechanica et Automatica; 2018, 12, 4; 301-310
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of HPM to find analytical solution of coette flow with variable viscosity
Autorzy:
Azimi, A.
Azimi, M.
Javanfar, A.
Powiązania:
https://bibliotekanauki.pl/articles/386372.pdf
Data publikacji:
2015
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
analytical solution
HPM
coette flow
viscosity
rozwiązanie analityczne
lepkość
przepływ Couette'a
Opis:
In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM). At first the basic idea of Homotopy Pertubation Method (HPM) is presented. The mathematical formulation and application of HPM to nonlinear problem are presented in section three. In order to check the validity of solution the analytical results are compared with exact ones for various numerical cases. The good agreement between exact method and Homotopy Pertubation Method has been assures us about the solution accuracy.
Źródło:
Acta Mechanica et Automatica; 2015, 9, 1; 5-8
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transient Plane Waves in Multilayered Half-Space
Autorzy:
Turchyn, I.
Turchyn, O.
Powiązania:
https://bibliotekanauki.pl/articles/386919.pdf
Data publikacji:
2013
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
dynamika
elastyczność
rozwiązanie analityczne
transformacja Fouriera
dynamical problem of elasticity
multilayered half-space
analytical solution
Fourier integral transformation
Opis:
Considered the dynamic problem of the theory of elasticity for multilayered half-space. Boundary surface of inhomogeneous half-space loaded with normal load, and the boundaries of separation layers are in conditions of ideal mechanical contact. The formulation involves non-classical separation of equations of motion using two functions with a particular mechanical meaning volumetric expansion and function of acceleration of the shift. In terms of these functions obtained two wave equation, written boundary conditions and the conditions of ideal mechanical contact of layers. Using the Laguerre and Fourier integral transformations was obtained the solution of the formulated problem. The results of the calculation of the stress-strain state in the half-space with a coating for a local impact loading are presented.
Źródło:
Acta Mechanica et Automatica; 2013, 7, 1; 53-57
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transient vibrations of an elastic cylinder inserted in the elastic medium
Autorzy:
Sulym, H.
Timar, I.
Turchyn, I.
Powiązania:
https://bibliotekanauki.pl/articles/386792.pdf
Data publikacji:
2016
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
transient wave propagation
nonhomogeneous medium
analytical solution
Laguerre polynomials
propagacji fal
rozwiązanie analityczne
wielomiany Laguerre'a
teoria sprężystości
szczelinowanie hydrauliczne
gaz łupkowy
Opis:
Using method of Laguerre polynomials we have obtained the solution of the dynamic problem of the theory of elasticity for elastic cylinder inserted into massive body modeled as a space. The source of non-stationary processes in composite is high intensity force load of the inner surface of the cylinder. On the surface separation of materials of space and cylinder the conditions of ideal mechanical contact are satisfied. The solution is obtained as series of Laguerre polynomials, which coefficients are found from recurrent relations. The results of numerical analysis of transient stress-strain state in elastic space with cylindrical insertion might be used for the technological process of hydraulic fracturing during shale gas extraction.
Źródło:
Acta Mechanica et Automatica; 2016, 10, 2; 133-136
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-4 z 4

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