20.500.12556/RUL-156415 Transverse compression of a thin elastic disc The mathematical formulations for transverse compression of a thin elastic disc are considered, including various boundary conditions along the faces of the disc. The mixed boundary conditions corresponding to the loading by normal stresses in absence of sliding are studied in detail. These conditions support an explicit solution in a Fourier series for the boundary layers localised near the edge of the disc and also do not assume making use of the Saint-Venant principle underlying the traditional asymptotic theory for thin elastic structures. As an example, an axisymmetric problem is studied. Along with the leading order solution for a plane boundary layer, a two-term outer expansion is derived. The latter is expressed through the derivatives of the prescribed stresses. Generalisations of the developed approach are addressed. thin elastic discs asymptotic compression boundary layer mixed condition tanke elastične plošče asimptotika kompresija mejna plast mešani pogoji true false true Angleški jezik Slovenski jezik Članek v reviji 2024-05-24 10:01:06 2024-05-24 10:01:09 2025-01-31 11:27:23 0000-00-00 00:00:00 2024 0 0 15 str. nr. 116 Vol. 75 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 539.3 0044-2275 10.1007/s00033-024-02238-3 196524803 Alzaidi..._-_Transverse_compression_of_a_thin_elastic_disc.pdf Alzaidi..._-_Transverse_compression_of_a_thin_elastic_disc.pdf 1 047C0BEC01E72BB5970659FB516071F6 d12b71dc38932b5358d750d6288d9ff3148729e91626ec21cb83e6296c8ccb6f 62bd4a4d-19a4-11ef-a033-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=183865 https://link.springer.com/article/10.1007/s00033-024-02238-3 1 c88916da-19a3-11ef-a033-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=183864 Fakulteta za strojništvo 0 0 0