In the context of wave propagation in damaged composite elastic media, an analytical approach is developed to study the normal penetration of a longitudinal wave into a periodic array of interface (thin) defects between two different materials. The problem is firstly reduced to a 2x2 system of integral equations holding over the opening between adjacent cracks; then, by applying simple (but uniform) approximations valid in the given regime of propagation, some auxiliary integral equations are deduced which are independent on frequency. A linear system is finally set up whose solution leads to explicit analytical formulas for the relevant scattering parameters. By solving numerically the above equations to calculate some constants, several graphs can be provided which reflect the peculiarities of the structure. Comparison between such formulas and corresponding full-numerical solutions of the originary integral system points out very good agreement.

One-mode wave propagation through a periodic array of inteface cracks: explicit results

SCARPETTA, Edoardo;
2005

Abstract

In the context of wave propagation in damaged composite elastic media, an analytical approach is developed to study the normal penetration of a longitudinal wave into a periodic array of interface (thin) defects between two different materials. The problem is firstly reduced to a 2x2 system of integral equations holding over the opening between adjacent cracks; then, by applying simple (but uniform) approximations valid in the given regime of propagation, some auxiliary integral equations are deduced which are independent on frequency. A linear system is finally set up whose solution leads to explicit analytical formulas for the relevant scattering parameters. By solving numerically the above equations to calculate some constants, several graphs can be provided which reflect the peculiarities of the structure. Comparison between such formulas and corresponding full-numerical solutions of the originary integral system points out very good agreement.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3140397
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact