2002
DOI: 10.1002/ecjc.10024
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A visualization of nonlinear elasticity property of tissues by ultrasound

Abstract: Imaging of tissue elasticity is promising as a technique for visualizing tissue variations such as tumors from the point of view of hardness. Evaluation of the elasticity has hitherto been carried out mainly in the range in which the stress and strain generated within the tissue under infinitesimal deformation are related linearly. Under a finite deformation, such a linear relationship does not hold but a nonlinear phenomenon (strain hardening) takes place, in which Young's modulus increases with the strain. S… Show more

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Cited by 12 publications
(8 citation statements)
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“…In this study, homogeneous and isotropic silicone phantoms were fabricated so as to simplify the mechanical behavior of the specimen. The stiffness coefficient or Young’s modulus was obtained with the constraint of 3% of the deformation/thickness ratio or strain, which was thought to be a linear elasticity region for most soft tissues [49]. The viscosity was neglected in the study because it was not so obviously observed for the silicone phantoms fabricated in this study.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…In this study, homogeneous and isotropic silicone phantoms were fabricated so as to simplify the mechanical behavior of the specimen. The stiffness coefficient or Young’s modulus was obtained with the constraint of 3% of the deformation/thickness ratio or strain, which was thought to be a linear elasticity region for most soft tissues [49]. The viscosity was neglected in the study because it was not so obviously observed for the silicone phantoms fabricated in this study.…”
Section: Discussionmentioning
confidence: 99%
“…We assumed homogeneity of the compressive properties of the phantom, so one value of Young’s modulus would represent all at each specific point. The deformation ratio (deformation/initial thickness) or strain was constrained to be within 3% in all the calculations in order to obtain a coefficient within the linear elasticity region of compression of the phantoms [49]. Due to low viscosity of the silicone phantoms, data of both the loading and unloading processes were utilized for the calculation of the stiffness coefficient.…”
Section: Methodsmentioning
confidence: 99%
“…Within this strain range, a linear elasticity for most soft tissues could be assumed [30]. A force of 0.04 N was used as a preload for extracting the stiffness coefficient.…”
Section: Discussionmentioning
confidence: 99%
“…The stiffness coefficient was calculated by a linear regression of the force-deformation curve of the indentation in the loading phase [23]. Only the data within a 3% strain level [30] were adopted to obtain the curve-fitted stiffness for all the three indentations. Because the stiffness coefficient was obtained under specific experimental conditions used in this study, that is, the selected indentation speed, air-jet diameter, applied deformation and reflected the mechanical property of the whole cartilage layer, it should be interpreted as "apparent stiffness", considering that cartilage is viscoelastic, inhomogeneous, and anisotropic [24].…”
Section: Parameters Calculation and Statistical Analysismentioning
confidence: 99%
“…Their treatment of quantitative reconstruction [6] accounts for large deformation, but assumes a linear (neoHookean) stress-strain law. Nitta and Shiina [9], on the other hand, present “nonlinear elasticity” images that show tissue nonlinear stiffening. These represent the slope of the Young’s modulus with strain, based on two assumptions not made in Skovoroda’s work: stress is uniaxial and constant, and the stress-strain law is quadratic.…”
Section: Introductionmentioning
confidence: 99%