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2006 | 09 | 1 |

Tytuł artykułu

A contribution to the modelling of periodically laminated elastic solids

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
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.

Wydawca

-

Rocznik

Tom

09

Numer

1

Opis fizyczny

http://www.ejpau.media.pl

Twórcy

autor
  • Czestochowa University of Technology, Dabrowskiego 73, 42-200 Czestochowa, Poland
autor

Bibliografia

  • 1. Bakhvalov N.C., Panasenko G.P., Averaging processes in periodic media (in Russian), Nauka, Moscow, 1984.
  • 2. Bensoussan A., Lions J. L., Papanicolau G., Asymptotic analysis for periodic structures. North-Holland,Amsterdam, 1978.
  • 3. Boutin C., Auriault J. L., Ralyeigh scattering in elastic composite materials, Int. J. Engng Sci., 227, 1993,1669-1683.
  • 4. Fish J., Wen-Chen, Higher-order homogenization of initial-boundary value problems, J. Eng. Mech., 127,2001, 1223-1230.
  • 5. Maeval A., Construction of models of dispersive elastodynamic behavior of periodic composites; a computational approach, Comp.Math.Appl.Mech.Engng, 57, 1986, 191-205.
  • 6. Sanchez-Palencia E, Zaoui A., Homogenization technics for composite media, Lecture Notes in Physics,272, Springer Verlag, 1985.
  • 7. Wierzbicki E., Woźniak Cz., Łacińska L., Boundary and initial fluctuation effect on dynamic behavior of a laminated solid, Arch. Appl. Mech., 74, 2005, 618-628.
  • 8. Woźniak Cz., Wierzbicki E., Averaging techniques in thermomechanics of composite solids, Wyd.Politechniki Częstochowskiej, Częstochowa, 2000.

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.agro-article-0802115b-dd88-446d-87f8-50269a29729a
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