Successive approximation method applying to obtain the transient elastic medium deformations
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...
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EDP Sciences
2019-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/35/e3sconf_rmget18_00081.pdf |
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doaj-0be0aa0607494b038f470610bb52ae3e2021-02-02T08:10:22ZengEDP SciencesE3S Web of Conferences2267-12422019-01-011090008110.1051/e3sconf/201910900081e3sconf_rmget18_00081Successive approximation method applying to obtain the transient elastic medium deformationsSapehin Volodymyr0Institute of Geotechnical Mechanics named by N. Poljakov of National Academy of Sciences of UkraineTherein 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/35/e3sconf_rmget18_00081.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sapehin Volodymyr |
| spellingShingle |
Sapehin Volodymyr Successive approximation method applying to obtain the transient elastic medium deformations E3S Web of Conferences |
| author_facet |
Sapehin Volodymyr |
| author_sort |
Sapehin Volodymyr |
| title |
Successive approximation method applying to obtain the transient elastic medium deformations |
| title_short |
Successive approximation method applying to obtain the transient elastic medium deformations |
| title_full |
Successive approximation method applying to obtain the transient elastic medium deformations |
| title_fullStr |
Successive approximation method applying to obtain the transient elastic medium deformations |
| title_full_unstemmed |
Successive approximation method applying to obtain the transient elastic medium deformations |
| title_sort |
successive approximation method applying to obtain the transient elastic medium deformations |
| publisher |
EDP Sciences |
| series |
E3S Web of Conferences |
| issn |
2267-1242 |
| publishDate |
2019-01-01 |
| description |
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. |
| url |
https://www.e3s-conferences.org/articles/e3sconf/pdf/2019/35/e3sconf_rmget18_00081.pdf |
| work_keys_str_mv |
AT sapehinvolodymyr successiveapproximationmethodapplyingtoobtainthetransientelasticmediumdeformations |
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