Plane waves in cubically nonlinear elastic media

被引：12

作者：

Cattani, C ^{[1
]}

Rushchitskii, YY

机构：

[1] Univ Roma La Sapienza, Rome, Italy

[2] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2002年 / 38卷 / 11期

关键词：

Wave Equation; Plane Wave; Transverse Plane; Elastic Medium; Interaction Analysis;

D O I：

10.1023/A:1022649319505

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The theory of plane waves in nonlinear materials described by the Murnaghan potential is proposed. The theory takes into account both the classical quadratic nonlinearity and the cubic nonlinearity of the basic wave equations. Some new opportunities for the wave interaction analysis are commented on: in addition to the second harmonics, a longitudinal plane wave generates the third one, a transverse plane wave generates the third harmonics, and horizontally and vertically polarized transverse plane waves jointly generate new waves.

引用

页码：1361 / 1365

页数：5

共 13 条

[1]

[Anonymous], 1999, APPL MECH REV, DOI DOI 10.1115/1.3098925

[2]

Goldberg Z.A., 1960, Akust. Zh, V6, P307

[3]

Guz A.N., 1999, FUNDAMENTALS 3 DIMEN

[4]

Guz AN., 1986, ELASTIC WAVES PRESTR