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Cited by 10 publications
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“…Here the explicit expressions of the coefficients β i (i = 1, 2, ... 19) and other details of the derivation are given in reference [19], for the constitutive relation proposed by Demiray [20] for soft biological tissues. Noting the relation between r f and r 0 , i.e., r f = r 0 + u * , the equation (4) can be written as follows:…”
Section: Equations Of Tubementioning
confidence: 99%
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“…Here the explicit expressions of the coefficients β i (i = 1, 2, ... 19) and other details of the derivation are given in reference [19], for the constitutive relation proposed by Demiray [20] for soft biological tissues. Noting the relation between r f and r 0 , i.e., r f = r 0 + u * , the equation (4) can be written as follows:…”
Section: Equations Of Tubementioning
confidence: 99%
“…As is seen from the dispersion relation (20), the wave is dispersive and dissipative. The dissipative character of the wave is affected by viscosity of fluid and viscoelastic properties of the tube.…”
Section: Longwave Approximationmentioning
confidence: 99%
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“…In order to complete the fluid equations one must know the constitutive relation for tube material. In the present work we shall adopt the following type of constitutive relation proposed by Demiray [16] for soft biological tissues…”
Section: Nonlinear Waves In An Inviscid Fluid 329mentioning
confidence: 99%
“…In the present work, the latter value was used. Other researchers such as Demiray (1996), Kyriacou and Humphrey (1996), Shah and Humphrey (1999), Hademenos et al (1994), Thubrikar et al (1999), and Vorp et al (2003) used a nonlinear constitutive equation. Many of the users of the linear and nonlinear models applied a kind of thin-shell or membrane theories.…”
Section: Introductionmentioning
confidence: 98%