The Study of Random Fields of Stress in Pure Shear Stochastically Inhomogeneous Half-Plane under Creep
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 120 (2010) no. 1, pp. 104-110
We studied the solution of a nonlinear boundary value problem of the steady-state creep at pure shear of a stochastically non-uniform half-plane. The solution of the problem is searched in correlation approximation on the basis of a spectral representation of random function method. On the basis of the received solution the statistical analysis of stress field near to half-plane boundary is carried out. It is shown, that in an interface dispensing of stress much more, than for deep layers.
Keywords:
stochastic heterogeneity, the statistical nonlinearity, the steady-state creep, pure shear, spectral representation of random function.
@article{VSGTU_2010_120_1_a10,
author = {N. N. Popov and M. A. Yashin},
title = {The {Study} of {Random} {Fields} of {Stress} in {Pure} {Shear} {Stochastically} {Inhomogeneous} {Half-Plane} under {Creep}},
journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
pages = {104--110},
year = {2010},
volume = {120},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGTU_2010_120_1_a10/}
}
TY - JOUR AU - N. N. Popov AU - M. A. Yashin TI - The Study of Random Fields of Stress in Pure Shear Stochastically Inhomogeneous Half-Plane under Creep JO - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences PY - 2010 SP - 104 EP - 110 VL - 120 IS - 1 UR - http://geodesic.mathdoc.fr/item/VSGTU_2010_120_1_a10/ LA - ru ID - VSGTU_2010_120_1_a10 ER -
%0 Journal Article %A N. N. Popov %A M. A. Yashin %T The Study of Random Fields of Stress in Pure Shear Stochastically Inhomogeneous Half-Plane under Creep %J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences %D 2010 %P 104-110 %V 120 %N 1 %U http://geodesic.mathdoc.fr/item/VSGTU_2010_120_1_a10/ %G ru %F VSGTU_2010_120_1_a10
N. N. Popov; M. A. Yashin. The Study of Random Fields of Stress in Pure Shear Stochastically Inhomogeneous Half-Plane under Creep. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 120 (2010) no. 1, pp. 104-110. http://geodesic.mathdoc.fr/item/VSGTU_2010_120_1_a10/
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