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dc.contributor.authorLi, Guo-Yang
dc.contributor.authorZheng, Yang
dc.contributor.authorLiu, Yanlin
dc.contributor.authorDestrade, Michel
dc.contributor.authorCao, Yanping
dc.identifier.citationLi, Guo-Yang, Zheng, Yang, Liu, Yanlin, Destrade, Michel, & Cao, Yanping. (2016). Elastic Cherenkov effects in transversely isotropic soft materials-I: Theoretical analysis, simulations and inverse method. Journal of the Mechanics and Physics of Solids, 96, 388-410. doi:
dc.description.abstractA body force concentrated at a point and moving at a high speed can induce shear-wave Mach cones in dusty-plasma crystals or soft materials, as observed experimentally and named the elastic Cherenkov effect (ECE). The ECE in soft materials forms the basis of the supersonic shear imaging (SSI) technique, an ultrasound-based dynamic elastography method applied in clinics in recent years. Previous studies on the ECE in soft materials have focused on isotropic material models. In this paper, we investigate the existence and key features of the ECE in anisotropic soft media, by using both theoretical analysis and finite element (FE) simulations, and we apply the results to the non-invasive and non-destructive characterization of biological soft tissues. We also theoretically study the characteristics of the shear waves induced in a deformed hyperelastic anisotropic soft material by a source moving with high speed, considering that contact between the ultrasound probe and the soft tissue may lead to finite deformation. On the basis of our theoretical analysis and numerical simulations, we propose an inverse approach to infer both the anisotropic and hyperelastic parameters of incompressible transversely isotropic (TI) soft materials. Finally, we investigate the properties of the solutions to the inverse problem by deriving the condition numbers in analytical form and performing numerical experiments. In Part II of the paper, both ex vivo and in vivo experiments are conducted to demonstrate the applicability of the inverse method in practical use.en_IE
dc.description.sponsorshipYPC acknowledges the financial support from the National Natural Science Foundation of China (Grant nos. 11172155 and 11432008).en_IE
dc.relation.ispartofJournal of the Mechanics and Physics of Solidsen
dc.subjectElastic Cherenkov effect (ECE)en_IE
dc.subjectAnisotropic soft materialsen_IE
dc.subjectDynamic elastographyen_IE
dc.subjectSupersonic shear imaging (SSI) techniqueen_IE
dc.subjectInverse methoden_IE
dc.titleElastic Cherenkov effects in transversely isotropic soft materials-I: Theoretical analysis, simulations and inverse methoden_IE
dc.local.contactMichel Destrade, Room Adb-1002, Áras De Brun, School Of Mathematics, Nui Galway. 2344 Email:

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