Spherical Wave Propagation in a Nonlinear Elastic Medium

Korneev, Valeri A.

Lawrence Berkeley National Laboratory

关键词: Vectors;    54;    Equations Of Motion;    Wave Propagation;    Wave Forms;   

DOI  :  10.2172/973095
RP-ID  :  LBNL-2509E
RP-ID  :  DE-AC02-05CH11231
RP-ID  :  973095

美国|英语

来源: UNT Digital Library

【 摘 要 】

Nonlinear propagation of spherical waves generated by a point-pressure source is considered for the cases of monochromatic and impulse primary waveforms. The nonlinear five-constant elastic theory advanced by Murnaghan is used where general equations of motion are put in the form of vector operators, which are independent of the coordinate system choice. The ratio of the nonlinear field component to the primary wave in the far field is proportional to ln(r) where r is a propagation distance. Near-field components of the primary field do not contribute to the far field of nonlinear component.