On the mass discretization approach to elastodynamics of periodically stratified composites

• Autorzy: Szlachetka O. , Wągrowska M. , Witkowska-Dobrev J. , Woźniak C.
• Języki publikacji: EN

Abstrakty

EN

The object of analysis are two component periodically stratified linear elastic multilayered composites. The aim of contribution is elastodynamics of these composites subjected to the mass discretization on the interfaces between adjacent homogeneous layers. Two specific cases of the mass discretizations are taken into account. In the first case the mass is assigned uniformly to every interface. It is shown that this kind of mass discretization leads to physically completely wrong results. In the second case, the mass is discretized uniformly but on the every second interface. In this case it is shown that the obtained elastodynamics equations have a physical sense provided that the wave are sufficiently long.

Słowa kluczowe

EN

periodically stratified composites; elastodynamics

PL

elastodynamika

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 4
• Strony: 143--150
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Szlachetka O.

autor

Wągrowska M.

autor

Witkowska-Dobrev J.

autor

Woźniak C.

• Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences Warszawa, Poland,

Bibliografia

• [1] Sun C.T., Achenbach J.C., Herrmann G., Time-harmonic waves in a stratified medium propagating in the direction of the layering, J. Appl. Mech. 1968, 35, 408.
• [2] Delph T.J., Herrmann G., Kaul R.K., Harmonic wave propagation in a periodically layered, infinite elastic body: Antiplane strain, J. Appl. Mech. 1978, 45, 343.
• [3] Delph T.J., Herrmann G., Kaul R.K., Harmonic wave propagation in a periodically layered, infinite elastic body: Plane strain, Analytical results, J. Appl. Mech. 1979, 46, 113.
• [4] Delph T.J., Herrmann G., Kaul R.K., Harmonic Wave propagation in a periodically layered, infinite elastic body: Plane strain, Numerical results, J. Appl. Mech. 1980, 47, 531.
• [5] Brillouin L., Wave Propagation in Periodic Structures, McGraw-Hill Company 1946.
• [6] Woźniak C., Internal variables in dynamics of composites solids with periodic microstructure, Arch. Mech. 1997, 49, 421-441.