Dynamic Equations for the Propagation of Acoustic Waves in Pre-Deformed Materials

IF 0.6 4区工程技术 Q4 MECHANICS

Mechanics of Solids Pub Date : 2024-09-12 DOI:10.1134/S0025654423601350

A. A. Markin, M. Yu. Sokolova

引用次数: 0

Abstract

Two approaches to obtaining dynamic equations for the propagation of small displacement disturbances, based on the use of models of hyperelastic and hypoelastic materials, are considered. It is shown that these equations are interrelated. For the case of a plane monochromatic wave, expressions for the acoustic tensors are obtained. A comparative analysis of the influence of preliminary deformations on the speed of propagation of acoustic waves in isotropic and anisotropic materials was carried out. Effects have been identified that can only be described within the framework of a hypoelastic medium model.

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声波在预变形材料中传播的动态方程

在使用超弹性和低弹性材料模型的基础上，考虑了获得小位移扰动传播动态方程的两种方法。结果表明，这些方程是相互关联的。在平面单色波的情况下，得到了声学张量的表达式。对各向同性和各向异性材料中初步变形对声波传播速度的影响进行了比较分析。发现了一些只能在低弹性介质模型框架内描述的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mechanics of Solids 医学-力学

CiteScore

1.20

自引率

42.90%

发文量

112

审稿时长

6-12 weeks

期刊介绍： Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.