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On the microdynamics of composite plates

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Summary

The subject of the contribution is an investigation of elastic composite plates with a microperiodic structure along the plate's midsurface. The computational models of the plates are largely based on the homogenization procedures leading to equations with constant coefficients. However, the homogenization theories neglect the microstructure length-scale effect on the plate's dynamic behaviour. The objective of this research is to formulate and investigate a refined theory of the composite plates under consideration, which would describe the microdynamic plate behaviour caused by the microstructure. The possible applications of the proposed theory are shown by an example.

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References

  1. Huber, M. T.: Probleme der Statik technisch wichtiger orthotroper Platten. Warszawa: PWN 1956

    Google Scholar 

  2. Babuška, J.: Homogenisation approach in engineering. In: Computing methods in applied sciences and engineering, pp. 137–153, Berlin: Springer 1973

    Google Scholar 

  3. Sanchez-Palencia, E.: Non-homogeneous media and vibration theory. Lecture Notes in Physics No. 127. Berlin Springer 1980

    Google Scholar 

  4. Caillerie, D.: Thin elastic and periodic plates. Math. Meth. Appl. Sci. 8 (1984) 159–191

    Google Scholar 

  5. Kohn, R. V.;Vogelius, M.: A new model for thin plates with rapidly varying thickness. Int. J. Solids Struct. 20 (1984) 333–350

    Google Scholar 

  6. Lewiński, T.: A note on averaging of stiffness of thin elastic periodic plates. Eng. Trans. 34 (1986) 337–352

    Google Scholar 

  7. Matysiak, S. J.;Nagórko, W.: Microlocal parameters in the modelling of micro-periodic plates. Ing. Arch. 59 (1989) 434–444

    Google Scholar 

  8. Woźniak, Cz.: Refined macrodynamics of periodic structures. Arch. Mech. 45 (1993) 295–304

    Google Scholar 

  9. Woźniak, Cz.;Woźniak, M.;Konieczny, S.; A note on dynamic modelling of periodic composites. Arch. Mech. 45 (1993) 779–783

    Google Scholar 

  10. Jedrysiak, J.;Woźniak, Cz.: On the elastodynamics of thin plates with periodic structure. J. Theor. Appl. Mech. 33 (1995) 337–349

    Google Scholar 

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Authors and Affiliations

  1. Department of Theoretical Mechanics, Silesian Technical University, Krzywoustego 7, PL-44 100, Gliwice, Poland

    E. Baron

  2. Institute of Fundamental Technological Research, Polish Academy of Sciences, Center of Mechanics, Świ etokrzyska 21, PL-00 049, Warszawa, Poland

    Cz. Woźniak

Authors
  1. E. Baron
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  2. Cz. Woźniak
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Additional information

This research was partly supported by KBN, Warsaw, under grant 3 3310 92 03.

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Baron, E., Woźniak, C. On the microdynamics of composite plates. Arch. Appl. Mech. 66, 126–133 (1995). https://doi.org/10.1007/BF00786695

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  • DOI: https://doi.org/10.1007/BF00786695

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