The wave energy in nonlinearly deformable composites

被引：5

作者：

Rushchitskii, YY ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, UA-252143 Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2001年 / 37卷 / 01期

关键词：

Longitudinal Wave; Classical Model; Energy Propagation; Elastic Body; Energy Characteristic;

D O I：

10.1023/A:1011372416108

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The energy characteristics of waves propagating in composites are discussed. To describe the deformation of materials, two models are used - the classical model of an elastic body and the microstructural model of a two-phase elastic mixture. Both models take into account the quadratic nonlinearity of deformation based on the Murnaghan elastic potential. Analytical expressions for the velocity at which the energy of travelling plane longitudinal waves propagates are derived. It is shown that the nonlinearity of composite deformation decreases the velocities of energy propagation of both nondispersive and dispersive waves.

引用

页码：107 / 113

页数：7

共 11 条

[1]

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

[2]

KRASILNIKOV VA, 1986, INTRO PHYSICAL ACOUS

[3]

KUDRYAVTSEV PS, 1974, COURSE PHYSICS HIST

[4] Extension of the microstructural theory of two-phase mixtures to composite materials [J].

Rushchitskii, YY .

INTERNATIONAL APPLIED MECHANICS, 2000, 36 (05) :586-614

[5]

RUSHCHITSKII YY, 1998, WAVES MAT MICROSTRUC

[6]

RUSHCHITSKII YY, 1991, ELEMENTS THEORY MIXT

[7]

RUSHCHITSKII YY, 1998, PRIKL MEKH, V34, P3

[8]

Skudrzyk E., 1971, FDN ACOUSTICS BASIC

[9]

Vinogradova M. B., 1990, THEORY WAVES

[10]

WHITMAN JB, 1974, LINEAR NONLINEAR WAV

← 1 2 →