The effect of initial stress on the propagation of surface waves in a layered half-space

Nam, Nguyen Thanh; Merodio, J.; Ogden, Ray W.; Vinh, Pham Chi

doi:10.1016/j.ijsolstr.2016.03.019

Cited by 53 publications

(16 citation statements)

References 24 publications

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“…The dispersion relation is generally sensitive to the BCs, geometrical parameters and pre-stresses in the soft tissues [100,117–119,127,128], which should be addressed during the development of a robust inverse method.…”

Section: Ultrasound-based Elastography Methodsmentioning

confidence: 99%

Mechanics of ultrasound elastography

Li¹,

Cao²

2017

Proc. R. Soc. A.

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Ultrasound elastography enables in vivo measurement of the mechanical properties of living soft tissues in a non-destructive and non-invasive manner and has attracted considerable interest for clinical use in recent years. Continuum mechanics plays an essential role in understanding and improving ultrasound-based elastography methods and is the main focus of this review. In particular, the mechanics theories involved in both static and dynamic elastography methods are surveyed. They may help understand the challenges in and opportunities for the practical applications of various ultrasound elastography methods to characterize the linear elastic, viscoelastic, anisotropic elastic and hyperelastic properties of both bulk and thin-walled soft materials, especially the in vivo characterization of biological soft tissues.

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Section: Ultrasound-based Elastography Methodsmentioning

confidence: 99%

Mechanics of ultrasound elastography

Li¹,

Cao²

2017

Proc. R. Soc. A.

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“…However, these papers dealing with bulging did not include residual stresses which are the main focus of this chapter. The same residual stress formulation exists in [95] and [99] and in the context of helical buckling bifurcation analysis due to torsion in [128].…”

Section: Introductionmentioning

confidence: 93%

Mechanical modeling of poroelastic and residually stressed hyperelastic materials and its application to biological tissues

Dehghani¹

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The knowledge I learned during this period will benefit the rest of my life. Lots of support and help have been given by family, colleagues, and friends during these years. I would like to express my sincere gratitude to all of them. First of all, I would like to thank my supervisor, Prof. Jose Merodio, for his strong and kind support, giving me the opportunity of working in a group with a great and friendly environment, and for sharing his knowledge and experience with me. I would also like to thank my colleague and my good friend Dr. Raimondo Penta, for guiding me into the entrance of the multiscale analysis, his generous support in many aspects, and hosting me in Glasgow. I am very grateful to have had the chance to work in the welcoming and professional atmosphere of the University of Glasgow, provided by the staff of School of Mathematics and Statistics, especially, Prof. Raymond Ogden who helped me to continue collaboration with Dr. Raimondo Penta. A sincere thank you is given to Dr. Javier Rodríguez for his helpful advice about Abaqus. Special thanks to Prof. Andreas Menzel who gave me the chance to work in the very friendly and professional environment of the Division of Mechanics at the Technical University of Dortmund and vii viii also to start a fruitful collaboration with him and his Ph.D. student, Isabelle Guschke.Finally, my heartfelt thanks to my family for their everlasting love and support. My wife, Fateme, no words in the world can express my thankfulness for your endless love.My Ph.D. journey finally came to an end. However, "This is not the end. It is not even the beginning of the end. But it is, perhaps, the end of the beginning." (Winston Churchill, 1942

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“…Sham [15] investigated propagation of wave under the initial stress at the boundary between a layer and a half-space. Nam et al [16] showed the impact of initial stress in the layered half-space on the propagation of surface waves. Ejaz and Shams [17] analyzed the initial stress in compressible elastic materials on the wave propagation.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model

et al. 2021

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Irregularity may occur on the earth’s surface in the form of mountains due to the imperfection of the earth’s crust. To explore the influence of horizontally polarized shear waves on mountains, we considered the fluid-saturated porous medium (superficial layer) over an orthotropic semi-infinite medium with rigid (Model-I) and soft (Model-II) mountain surfaces for wave propagation. The mountain surface is defined mathematically as a periodic function of the time domain. The physical interpretation of materials’ structure has been explained in rectangular Cartesian coordinate system originated at the contact interface of layer and half-space. The displacement of the mountains has been derived by solving energy equations analytically. The influence of rigid and soft mountain surfaces on the phase velocity of shear waves has been demonstrated graphically (we used MATLAB software for graphical representations).

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The effect of initial stress on the propagation of surface waves in a layered half-space

Cited by 53 publications

References 24 publications

Mechanics of ultrasound elastography

Mechanics of ultrasound elastography

Mechanical modeling of poroelastic and residually stressed hyperelastic materials and its application to biological tissues

Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model

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