Electronic Journal of Polish Agricultural Universities (EJPAU) founded by all Polish Agriculture Universities presents original papers and review articles relevant to all aspects of agricultural sciences. It is target for persons working both in science and industry,regulatory agencies or teaching in agricultural sector. Covered by IFIS Publishing (Food Science and Technology Abstracts), ELSEVIER Science - Food Science and Technology Program, CAS USA (Chemical Abstracts), CABI Publishing UK and ALPSP (Association of Learned and Professional Society Publisher - full membership). Presented in the Master List of Thomson ISI.
2006
Volume 9
Issue 1
Topic:
Civil Engineering
ELECTRONIC
JOURNAL OF
POLISH
AGRICULTURAL
UNIVERSITIES
Szymczyk J. , Wo╝niak C. 2006. A CONTRIBUTION TO THE MODELLING OF PERIODICALLY LAMINATED ELASTIC SOLIDS, EJPAU 9(1), #22.
Available Online: http://www.ejpau.media.pl/volume9/issue1/abs-22.html

A CONTRIBUTION TO THE MODELLING OF PERIODICALLY LAMINATED ELASTIC SOLIDS

Jolanta Szymczyk1, Czes│aw Wo╝niak2
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

Czes│aw Wo╝niak
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.