Wave equations in linear viscoelastic materials
作者:
Jean‐Paul Charlier,
Françoise Crowet,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1986)
卷期:
Volume 79,
issue 4
页码: 895-900
ISSN:0001-4966
年代: 1986
DOI:10.1121/1.393685
出版商: Acoustical Society of America
关键词: WAVE EQUATIONS;WAVE PROPAGATION;ULTRASONIC WAVES;TISSUES;FLUIDS;VISCOELASTICITY
数据来源: AIP
摘要:
Conditions for writing wave equations in linear viscoelastic materials are investigated. The study is restricted to the infinitesimal theory and an application is suggested in modeling ultrasound propagation in soft biological tissues. First, a general wave equation is obtained for the displacement field in an inhomogeneous medium. Second, the propagation of ‘‘the mean principal stress’’ (i.e., minus the arithmetical mean of the principal stresses) is examined. That quantity is particularly relevant when the force per unit area is detected at the surface of a nondissipative coupling medium. If the material is homogeneous, a wave equation is always obtained for the mean principal stress. Otherwise, supplementary conditions have to be assumed on the material and possibly on the motion. Results are illustrated by examples which present linearly elastic perfect fluids and linearly elastic Newtonian viscous fluids as particular viscoelastic materials.
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