caa a22 4500 605525366 CHVBK 20210128100758.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10958-015-2454-x doi (NATIONALLICENCE)springer-10.1007/s10958-015-2454-x Lavrenyuk M. Shevchenko Kiev National University, Kiev, Ukraine aut Application of a Modified Boundary-Element Method to Problems of the Elasticity Theory in Piecewise Homogeneous Anisotropic Media [Elektronische Daten] [M. Lavrenyuk] We study the problem of determination of the stress-strain state of a thin elastic orthotropic plate with orthotropic inclusions of any shape under loads applied to its edges. To solve the problem, we propose a modified direct boundary-element method capable of the simultaneous determination of all necessary quantities on the contact surfaces of each inclusion with the matrix by using a two-dimensional approximation of the components of the vector of displacements and stress tensor in every element of the discretization. The governing input relations are obtained for all components of the vector of displacements and stress tensor on the boundary and at inner points of the body under consideration. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/4(2015-07-01), 400-408 1072-3374 208:4<400 2015 208 10958 https://doi.org/10.1007/s10958-015-2454-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2454-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lavrenyuk M. Shevchenko Kiev National University, Kiev, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/4(2015-07-01), 400-408 1072-3374 208:4<400 2015 208 10958