Volume 9
Issue 1
Civil Engineering
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES
Available Online: http://www.ejpau.media.pl/volume9/issue1/abs-22.html
A CONTRIBUTION TO THE MODELLING OF PERIODICALLY LAMINATED ELASTIC SOLIDS
Jolanta Szymczyk1, Czes³aw Wo¼niak2
1 Institute of Mathematics and Computer Science,
Cz?ochowa University of Technology, Poland
2 Institute of Mathematics and Computer Science,
Czestochowa University of Technology, Poland
ABSTRACT
In the modern civil engineering an important role play new materials like composites and laminates. In this paper the object of analysis is a behaviour of periodic, micro-laminated two-component elastic solids. The modelling question is how to describe both micro- and macro-response of linear elastic periodic laminate. In order to answer this question we propose a new model of the solid under consideration. In contrast to the higher-order homogenization model, [3,4], the model is based on some heuristic physical assumptions rather than on the formal asymptotic expansions. The main result is that under certain conditions the obtained model equations can be decomposed into equations describing behaviour of a laminate independently on a macro- and micro-level. This decomposition holds for the laminates with a weak transversal inhomogeneity which will be defined in the paper.
Key words: laminates, mathematical modelling.
Jolanta Szymczyk
Institute of Mathematics and Computer Science,
Cz?ochowa University of Technology, Poland
D±browskiego 73, 42-200 Cz?ochowa, Poland
phone: (034) 325 03 24
email: panda@imi.pcz.pl
Czes³aw Wo¼niak
Institute of Mathematics and Computer Science,
Czestochowa University of Technology, Poland
Dabrowskiego 73, 42-200 Czestochowa, Poland
phone: (034) 325 03 24
Responses to this article, comments are invited and should be submitted within three months of the publication of the article. If accepted for publication, they will be published in the chapter headed 'Discussions' and hyperlinked to the article.