Conclusion
-
1.
As shown in the graphs, the stress field will be substantially nonuniform in the vicinity of the hole but remaining isotropic. At a sufficiently large distance from the edge of the hole the stress field will be statistically uniformly-isotropic.
-
2.
The influence of the hole on the statistical nonuniformity of the stress—strain state in the case of small ωR becomes negligible at a distance of 1–3r from the hole edge. With increasing ωR this distance decreases.
This is a preview of subscription content, log in via an institution to check access.
Literature Cited
G. I. Watson, Theory of the Bessel Functions [Russian translation], Part I, IL, Moscow (1949).
V. A. Lomakin, “The plane problem of the theory of elasticity of microheterogeneous bodies,” Inzhenernyi Zhurnal, Mekhanika Tverdogo Tela, No. 3 (1966).
V. A. Lomakin, Statistical Problems of the Mechanics of Solids under Strain [in Russian], Izd-vo Nauka, Moscow (1970).
N. I. Muskhelishvili, Some Problems of the Mathematical Theory of Elasticity [in Russian], Izd-vo AN SSSR, Moscow (1954).
G. N. Savin and L. P. Khoroshum, “The plane problem of physically nonlinear elastic bodies,” Prikladnaya Mekhanika,1, No. 4 (1965).
Additional information
Kiev State University. Translated from Prikladnaya Mekhanika, Vol. 9, No. 4, pp. 128–132, April, 1973.
Rights and permissions
About this article
Cite this article
Lavrenyuk, V.I. Stress distribution around a circular hole in a plane of a stochastically nonuniform material. Soviet Applied Mechanics 9, 453–456 (1973). https://doi.org/10.1007/BF00882663
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00882663