- Tytuł:
- Nonlinear surface elastic waves in materials
- Autorzy:
- Rushchitsky, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/128024.pdf
- Data publikacji:
- 2014
- Wydawca:
- Politechnika Poznańska. Instytut Mechaniki Stosowanej
- Tematy:
-
surface nonlinear elastic harmonic waves
Rayleigh wave
Love wave
Stoneley wave
Mozhaev wave
fale powierzchniowe
fale nieliniowe
fale harmoniczne
fale sprężyste
fala Rayleigha
fala Love'a
fala Stoneley'a
fala Mozhaeva - Opis:
- This paper is devoted to analysis of the surface nonlinear elastic harmonic waves of four types (Rayleigh and Stoneley harmonic waves within the framework of plane strain state; Love and Mozhaev harmonic wave within the framework of anti-plane strain state). The nonlinear model is based on introducing the Murnaghan elastic potential, which includes both geometrical and physical nonlinearities. Each type of surface waves is discussed in four steps: statement of the problem, nonlinear wave equations, approximate solution (first two approximations), so-me conclusions. A nonlinear analysis of waves required many novelties: new variants of the Murnaghan potential, new nonlinear wave equations and new nonlinear boundary conditions. The nonlinear wave equations were solved by the method of successive approximations. A new approach to analyze the boundary conditions is offered. Some new nonlinear wave effects are observed theoretically: a wave picture is reached by the 2nd harmonic and becomes changing in time of propagation, the wave numbers become depending on the initial amplitude.
- Źródło:
-
Vibrations in Physical Systems; 2014, 26; 33-40
0860-6897 - Pojawia się w:
- Vibrations in Physical Systems
- Dostawca treści:
- Biblioteka Nauki
Artykuł