| Issue |
E3S Web Conf.
Volume 109, 2019
International Conference Essays of Mining Science and Practice
|
|
|---|---|---|
| Article Number | 00081 | |
| Number of page(s) | 6 | |
| DOI | https://doi.org/10.1051/e3sconf/201910900081 | |
| Published online | 09 July 2019 | |
Successive approximation method applying to obtain the transient elastic medium deformations
Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of Ukraine, 49005, Dnipro, Simferopolska Str., 2a, Ukraine
* Corresponding author: vladimirsapegin10@gmail.com
Therein used the well-known method of successive approximation of functions for solving the problem of transient deformation of an elastic medium under the influence of variable internal pressure in wells in paper. The desired function – the maximum tensile stresses – is represented as a product of power functions, each of which depends on only one parameter. The regularity of changes in the maximum tensile stresses and the main factors influencing this process, which is fully confirmed by the independent theory of dimensions, are established.
© The Authors, published by EDP Sciences, 2019
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