Interaction of Punches of Canonical Shape with an Elastic Foundation with Two Bedding Coefficients

被引：0
|
作者：
Maksymuk O.V. [1 ]
Sachuk Y. [2 ]
Muzychuk Y. [3 ]
机构：
[1] I. Franko National University of Lviv, Lviv
[2] L. Ukrainka Volyn National University, Lutsk
[3] Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv
来源：
Journal of Mathematical Sciences | 2024年 / 278卷 / 5期
关键词：
contact pressure; displacements of the punch; Fredholm integral equations of the first kind; punches of canonical shape;
D O I：
10.1007/s10958-024-06969-6
中图分类号：
学科分类号：
摘要：
We solve the problem of contact interaction of the punches of canonical (cylindrical, elliptic, or hyperbolic) shape with an elastic foundation with two bedding coefficients (plane problem). The problem is reduced to the solution of Fredholm integral equations of the first kind, and its analytic solution is obtained. We perform the numerical analyses of contact pressure, the displacements of the punch, the displacements in the elastic foundation, and the dependence of width of the contact zone on the level of loading of the contact pair and the shape of the punch. The accumulated results are compared with the results obtained for similar problems in the case of elastic half plane. © Springer Nature Switzerland AG 2024.
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页码：918 / 927
页数：9
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