On stress analysis of load for microperiodic composite half-plane with slant lamination

Piotr Sebestianiuk , Dariusz Mariusz Perkowski , Roman Kulchytskyy


The paper deals with the plane problem of normal and tangential load for microperiodic composite with slant lamination. The boundary condition was considered as a normal and tangential load given on the surface of the composite half-plane. Microperiodic composite consisted of two components, differing in their Young’s modules. The homogenized model with microlocal parameters, which is presented by Woźniak (Int J Eng Sci 25:483–498, 1987. https://doi.org/10.1016/0020-7225(87)90102-9), Jędrysiak (Compos Struct 202:1253–1262, 2018. https://doi.org/10.1016/J.COMPSTRUCT.2018.05.155) was used to solve the considered problem. The problem was formulated and solved using the averaged boundary condition given by Perkowski et al. (Compos Sci Technol 67:2683–2690, 2007. https://doi.org/10.1016/J.COMPSCITECH.2007.02.013). The considered boundary value problem will be solved using the Fourier transform method. An analytical solution was obtained in a general form for any form of the function describing normal and tangential loads on the surface of a half-plane. An analytical solution was determined for the special cases of an elliptical, normal and tangential loads and for the special case of the concentrated force. The results are shown in the form of figures.
Author Piotr Sebestianiuk (FME)
Piotr Sebestianiuk,,
- Faculty of Mechanical Engineering
, Dariusz Mariusz Perkowski (FME / DMACS)
Dariusz Mariusz Perkowski,,
- Department of Mechanics and Applied Computer Science
, Roman Kulchytskyy (FME / DMACS)
Roman Kulchytskyy,,
- Department of Mechanics and Applied Computer Science
Journal seriesMeccanica, ISSN 0025-6455, (N/A 100 pkt)
Issue year2019
Publication size in sheets1
Keywords in Englishmicroperiodic composite, displacements, stress, slant lamination, normal load, tangential load, homogenized model
ASJC Classification2210 Mechanical Engineering; 2211 Mechanics of Materials; 3104 Condensed Matter Physics
Internal identifierROC 19-20
Languageen angielski
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 18-03-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2017 = 1.201; WoS Impact Factor: 2018 = 2.316 (2) - 2018=2.208 (5)
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