Mixed boundary value problem for an anisotropic thermoelastic half-space containing thin inhomogeneities

• Autorzy: Sulym Heorhiy , Pasternak Iaroslav , Smal Mariia , Vasylyshyn Andrii

Identyfikatory

DOI

10.2478/ama-2019-0032

• Języki publikacji: EN

Abstrakty

EN

The paper presents a rigorous and straightforward approach for obtaining the 2D boundary integral equations for a thermoelastic half-space containing holes, cracks and thin foreign inclusions. It starts from the Cauchy integral formula and the extended Stroh formalism which allows writing the general solution of thermoelastic problems in terms of certain analytic functions. In addition, with the help of it, it is possible to convert the volume integrals included in the equation into contour integrals, which, in turn, will allow the use of the method of boundary elements. For modelling of solids with thin inhomogeneities, a coupling principle for continua of different dimensions is used. Applying the theory of complex variable functions, in particular, Cauchy integral formula and Sokhotski–Plemelj formula, the Somigliana type boundary integral equations are constructed for thermoelastic anisotropic half-space. The obtained integral equations are introduced into the modified boundary element method. A numerical analysis of the influence of boundary conditions on the half-space boundary and relative rigidity of the thin inhomogeneity on the intensity of stresses at the inclusions is carried out.

Słowa kluczowe

EN

thermoelasticity; anisotropic half-space; boundary element method; thin inclusion; crack; stress intensity factors; Stroh formalism

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2019
• Tom: Vol. 13, no. 4
• Strony: 238--244
• Opis fizyczny: Bibliogr. 17 poz., wykr.

Twórcy

autor

Sulym Heorhiy

• *Bialystok University of Technology, ul. Wiejska 45C, 15-351 Bialystok, Poland

autor

Pasternak Iaroslav

• **Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

autor

Smal Mariia

• **Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

autor

Vasylyshyn Andrii

• Ivan Franko National University of Lviv, Universytetska Str. 1, 79000 Lviv, Ukraine

Bibliografia

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Uwagi

The present paper is financially supported by the Ministry of Science and Higher Education of Poland (research project No. S/WM/4/2017) and realised in Bialystok University of Technology

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).