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http://hdl.handle.net/11701/44288
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Malkova, Yulia V. | - |
dc.date.accessioned | 2023-10-23T18:00:33Z | - |
dc.date.available | 2023-10-23T18:00:33Z | - |
dc.date.issued | 2023-09 | - |
dc.identifier.citation | Malkova Yu. V. Deformation of a plane modelled by John’s material with a rigid elliptical inclusion loaded by force and moment. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 3, pp. 337–347. https://doi.org/10.21638/11701/spbu10.2023.303 (In Russian) | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2023.303 | - |
dc.identifier.uri | http://hdl.handle.net/11701/44288 | - |
dc.description.abstract | An exact analytical solution is obtained for a non-linear problem of elasticity theory for a plane with a rigid elliptical inclusion. A concentrated force and a moment are applied at the center of inclusion. The elastic properties of the plane are modeled by John’s harmonic material. For this material methods of the theory of functions of a complex variable are using for solving nonlinear plane problems. Nominal stresses and displacements are expressed in terms of two analytical functions of a complex variable, which are determined from the boundary conditions on the contour of inclusion. The problems of the action of a concentrated force and moment on an elliptical core in a plane are considered separately. A comparison with a similar linear problem is made. The influence of the applied force and moment on the magnitude of stresses is studied depending on various parameters of the problem. Calculations of nominal stresses on the contour joining the plane with inclusion are performed. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 3 | - |
dc.subject | non-linear plane problem | en_GB |
dc.subject | rigid elliptical inclusion | en_GB |
dc.subject | John’s harmonic material | en_GB |
dc.subject | concentrated force and moment | en_GB |
dc.title | Deformation of a plane modelled by John’s material with a rigid elliptical inclusion loaded by force and moment | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
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