Elastic-Plastic Deformations in a Body under the Impact of a Cavitation Bubble
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 131-143
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The paper presents a mathematical model of, a calculation technique for and some results of investigation of elastic-plastic deformations in a body when a load is applied to its surface which simulates the pulse action of a high-speed cumulative liquid jet arising during the collapse of a cavitation bubble attached to the body. The body is considered to be a semi-space of perfect elastic-plastic material. While constructing the law of loading, the liquid jet is represented as a cylindrical column with a semi-spherical end. The jet strikes the body orthogonally to its surface. The plastic state is described by the continuous correction of stresses so that the yield strength of the material is not exceeded. Main attention in the study is drawn to the variation of the position and configuration of yielding zones arising in the body and to the influence of the plasticity of the material and the non-uniformity of the load in the circular area of its application.
Keywords:
cavitation bubble, elastic-plastic body, plasticity, stress intensity.
@article{UZKU_2013_155_2_a11,
author = {A. A. Aganin and M. A. Ilgamov and N. A. Khismatullina},
title = {Elastic-Plastic {Deformations} in a {Body} under the {Impact} of a {Cavitation} {Bubble}},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {131--143},
publisher = {mathdoc},
volume = {155},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a11/}
}
TY - JOUR AU - A. A. Aganin AU - M. A. Ilgamov AU - N. A. Khismatullina TI - Elastic-Plastic Deformations in a Body under the Impact of a Cavitation Bubble JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2013 SP - 131 EP - 143 VL - 155 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a11/ LA - ru ID - UZKU_2013_155_2_a11 ER -
%0 Journal Article %A A. A. Aganin %A M. A. Ilgamov %A N. A. Khismatullina %T Elastic-Plastic Deformations in a Body under the Impact of a Cavitation Bubble %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2013 %P 131-143 %V 155 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a11/ %G ru %F UZKU_2013_155_2_a11
A. A. Aganin; M. A. Ilgamov; N. A. Khismatullina. Elastic-Plastic Deformations in a Body under the Impact of a Cavitation Bubble. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 131-143. http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a11/