Geodesic
Refined estimatation of the mode~II crack tip stress field at plane stress conditions for a~steady state creep linear-fractional law
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 94-109

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

The approximate solution of the mode II crack problem in a linear-fractional law of creeping material under plane stress conditions is demonstrated. The stress field in the vicinity of the mode II crack tip is obtained. It is demonstrated that the near crack tip fields consist of four wedge-shape regions. The sectors can be assembled subject to the boundary conditions and continuity of tractions across the sectors boundaries. The comparison of the analytical and numerical solutions is given. The creep strain rate tensor components in the neighborhood of the crack tip are shown to be singular $\dot\varepsilon\sim r^{-\alpha}.$ The singularity exponent $\alpha$ varies discretely from 1 to 1/2.
Keywords: fracture mechanics, mode II crack, linear-fractional steady-state creep law, stress-strain state near a crack tip. 
@article{VSGTU_2008_2_a10,
     author = {L. V. Stepanova},
     title = {Refined estimatation of the {mode~II} crack tip stress field at plane stress conditions for a~steady state creep linear-fractional law},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {94--109},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a10/}
}
TY  - JOUR
AU  - L. V. Stepanova
TI  - Refined estimatation of the mode~II crack tip stress field at plane stress conditions for a~steady state creep linear-fractional law
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2008
SP  - 94
EP  - 109
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a10/
LA  - ru
ID  - VSGTU_2008_2_a10
ER  - 
%0 Journal Article
%A L. V. Stepanova
%T Refined estimatation of the mode~II crack tip stress field at plane stress conditions for a~steady state creep linear-fractional law
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2008
%P 94-109
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a10/
%G ru
%F VSGTU_2008_2_a10
L. V. Stepanova. Refined estimatation of the mode~II crack tip stress field at plane stress conditions for a~steady state creep linear-fractional law. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 94-109. http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a10/