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2005 | 08 | 4 |

Tytuł artykułu

On the dynamic behaviour of uniperiodic plates made of orthotropic elements

Autorzy

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
The aim of this contribution is to propose a new non-asymptotic 2D-model of non-homogeneous Reissner type elastic plates with one-directional periodic (uniperiodic) structure. This model was obtained by tolerance averaging technique (TAA) describing effect of repetitive cell size l (and at the same time the period-length of in-homogeneity) on the overall plate behaviour. The new feature of the proposed model is the possibility to apply the analysis of plates having thickness of an order of the period-length. So far, the non-asymptotic 2Dmodel of Reissner-type uniperiodic plates was formulated under assumption that the plate thickness is very small compared to the period-length.

Wydawca

-

Rocznik

Tom

08

Numer

4

Opis fizyczny

http://www.ejpau.media.pl

Twórcy

autor
  • Silesian University of Technology, Akademicka 5, 44-100 Gliwice, Poland

Bibliografia

  • 1. Baron E., On modelling of medium thickness plates with a uniperiodic structure, Journal of Theoretical and Applied Mechanics 1, 40,( 2002), 7-22,
  • 2. Baron E On dynamic behaviour of medium-thickness plates with uniperiodic structure, Archive of Applied Mechanics, 73,( 2003), 505-516. (Springer-Verlag)
  • 3. Baron E., On a certain model of uniperiodic medium thickness plates subjected to initial stresses, Jour. of Theor. And Appl. Mech., 43, 1 ,( 2005) 93 – 110.
  • 4. Bensoussan A., Lions J.L., Papanicolau G.,: Asymptotic analysis for periodic structures. Amsterdam, North Holland . 1980
  • 5. Caillerie D., Thin elastic and periodic plates, Math. Meth. in the Appl. Sci. 6, (1984), 159 – 191
  • 6. Jędrysiak J. On the dynamic of thin plates with a periodic microstructure, Eng. Trans. 46, (1998)
  • 7. Kohn R., Vogelius M., A new model of thin plates with rapidly varying thickness, Int. J. Solids Structures, 20,( 1984) 333-350
  • 8. .Lekhnitskij S.G., Anisotropic plates, 2nd ed. N. Y., Gordon & Breach, 1968
  • 9. Lewiński T., Effective models of composite periodic plates: I. Asymptotic solutions, II. Simplifications due to symmetries, III. Two dimensional approaches, Int, J. Solids Structures, 27,( 1991) ,1155-1172, 1173-1184, 1185-1203.
  • 10. Lewiński T., Homogenizing stiffness of plates with periodic structure. Int. J. Solids Structures, 21,( 1992), 309-326
  • 11. Lewiński T., Telega J.J., Plates, laminates and shells, Singapore, World Scientific Publishing Company, 2000
  • 12. Mazur-Śniady K.,On the modelling of dynamic problems for plates with a periodic structure, Archive of Applied mechanics, 74, (2004), 179-190
  • 13. Woźniak C.,Wierzbicki E., Averaging techniques in thermomechanics of composite solids. Wydawnictwo Politechniki Częstochowskiej, Poland 2000
  • 14. Woźniak M., Wierzbicki E., Woźniak Cz., „Macroscopic modelling of prestressed microperiodic media”, Acta Mechanica, 173 ,( 2004) 107-117.
  • 15. Baron E., On modelling of periodic plates having the in-homogeneity period of an order of the plate thickness, (in course of edition procedures)

Typ dokumentu

Bibliografia

Identyfikatory

Identyfikator YADDA

bwmeta1.element.agro-article-8e6b1b18-c8c8-413b-bdd9-e74c208843db
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