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- Title
Model of a Plane Strain-State of a Two-Dimensional Plate with Small Periodic Areas of Fixed Edge.
- Authors
Nazarov, S. A.; Taskinen, J.
- Abstract
We construct the asymptotics, as the small positive parameters h and ε tend to zero, of the displacement and stress fields in a planar isotropic body whose boundary is rigidly fixed at hperiodially posed boundary parts of length O(hε). We propose an asymptotic model that involves the Winkler–Robin boundary conditions connecting the displacement vector and the vector of normal stresses at the boundary, and provides acceptable approximation for the solution of the original problem for a wide range of the parameters h and ε. Error estimates are based on various weighted inequalities.
- Subjects
DISPLACEMENT (Psychology); MODEL airplanes
- Publication
Journal of Mathematical Sciences, 2024, Vol 283, Issue 4, p586
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-024-07295-7