Temat: integral equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: P-wave interaction with a pair of rigid strips embedded in an orthotropic strip
Autorzy:: Basu, S.
Mandal, S. C.
Powiązania:: https://bibliotekanauki.pl/articles/281710.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: P-wave
Fourier transform
Hilbert transform
Fredholm integral equation
stress intensity factor
Opis:: The present paper is concerned with the problem of scattering of the P-wave by two co- -planer finite rigid strips placed symmetrically in an infinitely long orthotropic strip. Using the Hilbert transform technique, the mixed boundary value problem has been reduced to the solution of dual integral equations which has finally been reduced to the solution of a Fredholm integral equation of the second kind. Solving this integral equation numerically, stress intensity factors have been calculated at the inner and outer edges of the rigid strips, and the vertical displacement outside the strips has been calculated and plotted graphically to show the effect of material orthotropy.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 2; 579-592
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Skocz do pozycji: 2.

Tytuł:: Fourier, Laguerre, Laplace Transforms with applications
Autorzy:: Aghili, Arman
Powiązania:: https://bibliotekanauki.pl/articles/2052384.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: Fourier transform
Laplace transform
Laguerre transform
singular integral equation
Bessel's functions
fractional heat equation
przekształcenie Fouriera
przekształcenie Laplace'a
przekształcenie Laguerre'a
osobliwe równanie całkowe
funkcje Bessela
ułamkowe równanie ciepła
Opis:: In this article, the author considered certain time fractional equations using joint integral transforms. Transform method is a powerful tool for solving singular integral equations, integral equation with retarded argument, evaluation of certain integrals and solution of partial fractional differential equations. The obtained results reveal that the transform method is very convenient and effective. Illustrative examples are also provided.
Źródło:: Journal of Mathematics and Applications; 2021, 44; 5-17
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Skocz do pozycji: 3.

Tytuł:: Anti – plane crack emanating from the interface in a bounded smart PEMO- elastic structure
Autorzy:: Rogowski, B.
Powiązania:: https://bibliotekanauki.pl/articles/955285.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: interfejs
natężenie pola
transformacja Fouriera
równanie Cauchy'ego
interface
anti-plane shear crack
singularity of power law
field intensity factors
magnetoelectroelastic behaviour
Fourier transform
Cauchy singular integral equation
exact solution
Opis:: The magnetoelectroelastic analysis of two bonded dissimilar piezo-electro-magneto-elastic ceramics with a crack perpendicular to and terminating at the interface is made. By using the Fourier integral transform (in perpendicular directions in each materials), the mixed boundary conditions and continuity conditions are transformed to a singular integral equation with generalized Cauchy kernel, the solution of which has been well studied, and classical methods are directly applicable here to obtain the closed form solution. The results are presented for a permeable crack under anti-plane shear loading and in-plane electric and magnetic loadings, as prescribed electric displacement and magnetic inductions or electric and magnetic fields. The results indicate that the magnetoelectroelastic field near the crack tip in the homogeneous PEMO- elastic ceramic is dominated by a traditional inverse square-root singularity, while the coupled field near the crack tip at the interface exhibits the singularity of the power law r--α , r being the distance from the interface crack tip and α depending on the material constants of a bimaterial. In particular, electric and magnetic fields have no singularity at the crack tip in a homogeneous solid, whereas they are singular around the interface crack tip. Numerical results are given graphically to show the effects of the material properties on the singularity order, field intensity factors and energy release rates. The results presented in this paper should have potential applications to the design of multilayered magnetoelectroelastic structures.
Źródło:: International Journal of Applied Mechanics and Engineering; 2013, 18, 4; 1165-1199
1734-4492
2353-9003
Pojawia się w:: International Journal of Applied Mechanics and Engineering
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Skocz do pozycji: 4.

Tytuł:: Limited contact dynamic solution tasks of horizontal vibrations of the stamp on the elastic half-space
Ogranichennoe reshenie dinamicheskojj kontaktnojj zadachi gorizontalnykh kolebanijj shtampa na uprugom poluprastranstve
Autorzy:: Starchenko, V.
Buryak, V.
Powiązania:: https://bibliotekanauki.pl/articles/793732.pdf
Data publikacji:: 2013
Wydawca:: Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:: elastic half-space
integral transform
horizontal vibration
dynamic contact
equation
Fourier transform
Źródło:: Teka Komisji Motoryzacji i Energetyki Rolnictwa; 2013, 13, 3
1641-7739
Pojawia się w:: Teka Komisji Motoryzacji i Energetyki Rolnictwa
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Informacja

Wyszukujesz frazę "integral equation" wg kryterium: Temat

Źródło danych

Dostawca treści

Kolekcja

Rok wydania

Wydawca

Temat

Autor

Typ dokumentu

Język