Temat: mode III crack - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A mode-III crack with variable surface effects
Autorzy:: Wang, X.
Schiavone, P.
Powiązania:: https://bibliotekanauki.pl/articles/282009.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: surface elasticity
variable surface moduli
mode-III crack
Cauchy singular integro-differential equation
Opis:: We study the contribution of variable surface effects to the antiplane deformation of a linearly elastic material with a mode-III crack. The surface elasticity is incorporated using a modified version of the continuum based surface/interface model of Gurtin and Murdoch. In our discussion, the surface moduli are not constant but vary along the crack surfaces. Using Green’s function method, the problem is reduced to a single first-order Cauchy singular integro-differential equation, which is solved numerically using Chebyshev polynomials and a collocation method. Our results indicate that the gradient of the surface shear modulus exerts a significant influence on the crack opening displacement and on the singular stress field at the crack tips.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 4; 1319-1327
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Uniform stress field inside a non-parabolic open inhomogeneity interacting with a mode III crack
Autorzy:: Wang, X.
Schiavone, P.
Powiązania:: https://bibliotekanauki.pl/articles/38612202.pdf
Data publikacji:: 2021
Wydawca:: Instytut Podstawowych Problemów Techniki PAN
Tematy:: non-parabolic inhomogeneity
mode III crack
uniform stress field
antiplane elasticity
conformal mapping
singular integral equation
Opis:: Using conformal mapping techniques, analytic continuation and the theory of Cauchy singular integral equations, we prove that a non-parabolic open inhomogeneity embedded in an elastic matrix subjected to a uniform remote anti-plane stress nevertheless admits an internal uniform stress field despite the presence of a finite mode III crack in its vicinity. Our analysis indicates that: (i) the internal uniform stress field is independent of the specific shape of the inhomogeneity and the presence of the finite crack; (ii) the existence of the finite crack plays a key role in the non-parabolic open shape of the inhomogeneity and in the non-uniform stresses in the surrounding matrix; (iii) the two-term asymptotic expansion at infinity of the stress field in the matrix is independent of the presence of the finite crack. Detailed numerical results are presented to demonstrate the proposed theory.
Źródło:: Archives of Mechanics; 2021, 73, 1; 67-81
0373-2029
Pojawia się w:: Archives of Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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