Concentrated force acting near the tip of an interface crack with a~rigid overlay on its side
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 191-195.

Voir la notice de l'article provenant de la source Math-Net.Ru

Plane stress state near the tip of an interface crack induced by specified concentrated force is considered. One of the crack faces is partially reinforced by a rigid straight line overlay. The complex potentials, the stress intensity factors at the crack-tip are found, corresponding plots are presented.
Keywords: crack, rigid overlay, concentrated force, piecewise-homogeneous elastic plane, stresses, stress intensity factors, hypergeometric function.
@article{VSGTU_2011_1_a25,
     author = {Yu. O. Vasilieva and V. V. Sil'vestrov},
     title = {Concentrated force acting near the tip of an interface crack with a~rigid overlay on its side},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {191--195},
     publisher = {mathdoc},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a25/}
}
TY  - JOUR
AU  - Yu. O. Vasilieva
AU  - V. V. Sil'vestrov
TI  - Concentrated force acting near the tip of an interface crack with a~rigid overlay on its side
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2011
SP  - 191
EP  - 195
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a25/
LA  - ru
ID  - VSGTU_2011_1_a25
ER  - 
%0 Journal Article
%A Yu. O. Vasilieva
%A V. V. Sil'vestrov
%T Concentrated force acting near the tip of an interface crack with a~rigid overlay on its side
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2011
%P 191-195
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a25/
%G ru
%F VSGTU_2011_1_a25
Yu. O. Vasilieva; V. V. Sil'vestrov. Concentrated force acting near the tip of an interface crack with a~rigid overlay on its side. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 191-195. http://geodesic.mathdoc.fr/item/VSGTU_2011_1_a25/

[1] Cherepanov G. P., Fracture Mechanics of composite materials, Nauka, Moscow, 1983, 296 pp. | Zbl

[2] Sil'vestrov V. V., “The method of Riemann surfaces in the problem of interfacial cracks and inlcusions in the presence of point forces.”, Russian Math. (Iz. VUZ), 48:7 (2004), 75–88 | MR | Zbl

[3] Khvoshchinskaya L. A., “To the Riemann problem in the case of an arbitrary number of singular points”, Boundary value problems, special functions and fractional calculus, Proceedings of the International Conference (February 16–20, 1996), ed. A. A. Kilbas, Belorus. Un-t, Minsk, 1996, 377–382 | MR