Skip to main content
Log in

Boundary and initial fluctuation effect on dynamic behaviour of a laminated solid

  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

Two problems will be studied in this contribution. First, we analyse some phenomena which take place in a laminated solid and are caused by a fluctuation of time-dependent boundary tractions. Second, we investigate the transient effect of initial displacement fluctuations on the behaviour of a laminate. To solve the above problems we propose a new macroscopic 3D model for investigations of initial-boundary value problems in elastodynamics of a laminated medium.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Achenbach, J.D., Sun, C.-T., Herrmann, G.: Continuum theory for a laminated medium. J. Appl. Mech. 35, 467–475 (1968)

    Google Scholar 

  2. Achenbach, J.D., Sun, C.-T.: The directionally reinforced composite as a homogeneous continuum with microstructure. In: Lee, E.H. (ed) Dynamics of composite materials. American Society of Mechanical Engineers, New York (1972)

  3. Boutin, C., Auriault, J.L.: Rayleigh scattering in elastic composite materials. Int. J. Eng. Sci. 31, 1669–1689 (1993)

    Google Scholar 

  4. Bakhvalov, N.C., Panasenko, G.P.: Averaging processes in periodic media (in Russian). Nauka, Moskow (1984)

  5. Baron, E., Woźniak, Cz.: On microdynamics of composite plates. Arch. Appl. Mech. 66, 126–133 (1995)

    Google Scholar 

  6. Bensoussan, A., Lions, J.L., Papanicolau, G.: Asymptotic analysis for periodic structures. North-Holland, Amsterdam (1978)

  7. Callerie, D.: Thin elastic and periodic plates. Math. Methods Appl. Sci. 6, 159–191 (1984)

    Google Scholar 

  8. Jikov, V.V., Kozlov, S.M., Oleinik, O.A.: Homogenization of differential operators and integral functionals. Springer, Berlin Heidelberg New York (1994)

  9. Jedrysiak, J.: On dynamics of thin plates with a periodic structure. Eng. Trans. 46, 73–87 (1998)

    Google Scholar 

  10. Fish, J., Wen-Chen.: Higher-order homogenization of initial/boundary-value problems. J. Eng. Mech. 1223–1230 (2001)

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

    Google Scholar 

  12. Michalak, B., Woźniak, Cz., Woźniak, M.: The dynamic modeling of elastic wavy plates. Arch. Appl. Mech. 66, 177–186 (1995)

    Google Scholar 

  13. Sun, C.T., Achenbach, J.D., Hermann, G.: The harmonic waves in a stratified medium propagating in direction of layering. J. Appl. Mech. 35, 408–411 (1968)

    Google Scholar 

  14. Sun, C.T., Achenbach, J.D., Hermann, G.: Continuum theory for a laminated medium. 35, 467–475 (1968)

  15. Woźniak, Cz., Wierzbicki E.: Averaging techniques in thermomechanics of composite solids. Tolerance averaging versus homogenization, Wyd. Pol. Częstochowskiej, Częstochowa, 2000

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cz. Woźniak.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wierzbicki, E., Woźniak, C. & Łacińska, L. Boundary and initial fluctuation effect on dynamic behaviour of a laminated solid. Arch Appl Mech 74, 618–628 (2005). https://doi.org/10.1007/s00419-005-0378-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-005-0378-5

Keywords

Navigation