ANALYTICAL SOLUTION TO CONTACT PROBLEM ON SPHERICAL INDENTER PENETRATION INTO SOFT ELASTIC LAYER
An efficient method for constructing an approximate analytical solution to the contact problem of the penetration of a spherical indenter into the soft elastic layer lying on a rigid elastic foundation is proposed. The method permits to obtain the problem solution effective for the full range of the...
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2018-07-01
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| Series: | Вестник Донского государственного технического университета |
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| Online Access: | https://vestnik.donstu.ru/jour/article/view/643 |
| _version_ | 1818512560499982336 |
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| author | Sergey Sergeyevich Volkov |
| author_facet | Sergey Sergeyevich Volkov |
| author_sort | Sergey Sergeyevich Volkov |
| collection | DOAJ |
| description | An efficient method for constructing an approximate analytical solution to the contact problem of the penetration of a spherical indenter into the soft elastic layer lying on a rigid elastic foundation is proposed. The method permits to obtain the problem solution effective for the full range of the problem characteristic geometrical and physical parameter values. Some cases when Young’s moduli of the layer and the substrate differ more than a hundredfold are analyzed. The obtained contact stresses for different values of the foundation stiffness are compared with the formerly known results for the nondeformable foundation case. It is shown that when the elastic properties of the layer and the substrate differ a hundredfold, maximum difference between these results is less than 3%. The relationship between the pressing force and the radius of the sphere is determined. The question is put owing to the control problem of the thin coatings elastic properties. |
| first_indexed | 2024-12-10T23:48:33Z |
| format | Article |
| id | doaj.art-d6fb5ec5d85142c9a55f4b30488bb4b2 |
| institution | Directory Open Access Journal |
| issn | 1992-5980 1992-6006 |
| language | Russian |
| last_indexed | 2024-12-10T23:48:33Z |
| publishDate | 2018-07-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Вестник Донского государственного технического университета |
| spelling | doaj.art-d6fb5ec5d85142c9a55f4b30488bb4b22022-12-22T01:28:51ZrusDon State Technical UniversityВестник Донского государственного технического университета1992-59801992-60062018-07-01127510635ANALYTICAL SOLUTION TO CONTACT PROBLEM ON SPHERICAL INDENTER PENETRATION INTO SOFT ELASTIC LAYERSergey Sergeyevich Volkov0Don State Technical University.An efficient method for constructing an approximate analytical solution to the contact problem of the penetration of a spherical indenter into the soft elastic layer lying on a rigid elastic foundation is proposed. The method permits to obtain the problem solution effective for the full range of the problem characteristic geometrical and physical parameter values. Some cases when Young’s moduli of the layer and the substrate differ more than a hundredfold are analyzed. The obtained contact stresses for different values of the foundation stiffness are compared with the formerly known results for the nondeformable foundation case. It is shown that when the elastic properties of the layer and the substrate differ a hundredfold, maximum difference between these results is less than 3%. The relationship between the pressing force and the radius of the sphere is determined. The question is put owing to the control problem of the thin coatings elastic properties.https://vestnik.donstu.ru/jour/article/view/643contact problemspherical indentereffective solutionsoft elastic layerelastic foundationyoung’s moduluscontrol of elastic properties. |
| spellingShingle | Sergey Sergeyevich Volkov ANALYTICAL SOLUTION TO CONTACT PROBLEM ON SPHERICAL INDENTER PENETRATION INTO SOFT ELASTIC LAYER Вестник Донского государственного технического университета contact problem spherical indenter effective solution soft elastic layer elastic foundation young’s modulus control of elastic properties. |
| title | ANALYTICAL SOLUTION TO CONTACT PROBLEM ON SPHERICAL INDENTER PENETRATION INTO SOFT ELASTIC LAYER |
| title_full | ANALYTICAL SOLUTION TO CONTACT PROBLEM ON SPHERICAL INDENTER PENETRATION INTO SOFT ELASTIC LAYER |
| title_fullStr | ANALYTICAL SOLUTION TO CONTACT PROBLEM ON SPHERICAL INDENTER PENETRATION INTO SOFT ELASTIC LAYER |
| title_full_unstemmed | ANALYTICAL SOLUTION TO CONTACT PROBLEM ON SPHERICAL INDENTER PENETRATION INTO SOFT ELASTIC LAYER |
| title_short | ANALYTICAL SOLUTION TO CONTACT PROBLEM ON SPHERICAL INDENTER PENETRATION INTO SOFT ELASTIC LAYER |
| title_sort | analytical solution to contact problem on spherical indenter penetration into soft elastic layer |
| topic | contact problem spherical indenter effective solution soft elastic layer elastic foundation young’s modulus control of elastic properties. |
| url | https://vestnik.donstu.ru/jour/article/view/643 |
| work_keys_str_mv | AT sergeysergeyevichvolkov analyticalsolutiontocontactproblemonsphericalindenterpenetrationintosoftelasticlayer |