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Backward Mach cone of shear waves induced by a moving force in soft anisotropic materials
Journal of the Mechanics and Physics of Solids ( IF 5.3 ) Pub Date : 2020-02-07 , DOI: 10.1016/j.jmps.2020.103896
Guo-Yang Li , Yanping Cao

When a point force travels in a solid with a speed greater than the velocity of the elastic wave induced, the interfering elastic wave fronts will form a Mach cone. This phenomenon is called the elastic Cherenkov effect (ECE). In this study, the ECE in soft matter was investigated with emphasis on backward Mach cone formation. Phase diagrams were proposed based on the theoretical analysis to elucidate key features of the ECE in a wide material parameter space, including the critical conditions for the onset of backward Mach cones and the cone angles. Subsequently, finite element models were developed to validate the theoretical solutions. Our results show that backward Mach cones can be formed in some typical soft tissues under the described conditions, which is important for the use of the ECE in characterizing the mechanical properties of these soft tissues in vivo. Our method and results also illustrate that backward Mach cones can be generated in soft phononic crystals with periodic microstructures, indicating that they are promising material systems for studying the ECE in soft matter.



中文翻译:

软各向异性材料中的运动力引起的剪切波的后马赫锥

当点力在固体中传播的速度大于所感应的弹性波的速度时,干涉的弹性波阵面将形成马赫锥。这种现象称为弹性切伦科夫效应(ECE)。在这项研究中,对软物质的ECE进行了研究,重点是向后的马赫锥形成。在理论分析的基础上提出了相图,以阐明在广泛的材料参数空间中ECE的关键特征,包括向后马赫锥和锥角开始的临界条件。随后,开发了有限元模型以验证理论解。我们的结果表明,在上述条件下,一些典型的软组织中可以形成向后的马赫锥,体内。我们的方法和结果还表明,可以在具有周期性微结构的软声子晶体中生成后向马赫锥,表明它们是研究软质ECE的有前途的材料系统。

更新日期:2020-02-07
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