A note on the elasticity of soft biological tissues

Demı́ray, Hilmi

doi:10.1016/0021-9290(72)90047-4

Cited by 349 publications

(165 citation statements)

References 4 publications

Supporting

Mentioning

163

Contrasting

Unclassified

Order By: Relevance

“…The incompressible hypothesis has been widely used in soft tissue biomechanics, e.g. (DeHoff et al, 1966;Demiray, 1972;Veronda and Westmann, 1970;Weiss, 1994). The physical motivation behind this assumption is that soft tissues such as ligaments and tendons are mainly composed of water which is nearly incompressible.…”

Section: Discussionmentioning

confidence: 99%

Non-linear viscoelastic laws for soft biological tissues

Pioletti

Rakotomanana

2000

European Journal of Mechanics - A/Solids

147

View full text Add to dashboard Cite

-The development of a conceptual framework to test different viscoelastic constitutive laws is presented. This framework has the advantage of satisfying a priori the thermodynamic restrictions and is valid for large deformations. In addition, the different mechanical contributions are separated according to the time scale of their effects. As an illustration of its ability to model the immediate, short time memory and long time memory contributions, the framework is used to identify mechanical tests performed on human patellar tendons. The resulting viscoelastic law is then proposed to model the soft biological tissues as these tissues present an important viscoelastic behaviour.

show abstract

Section: Discussionmentioning

confidence: 99%

Non-linear viscoelastic laws for soft biological tissues

Pioletti

Rakotomanana

2000

European Journal of Mechanics - A/Solids

147

View full text Add to dashboard Cite

show abstract

“…For that reason one must know the constitutive relation of the tube material. In this work we shall utilize the constitutive relation proposed by Demiray [17] for soft biological tissues. Following Demiray [17], the strain energy density function may be expressed as…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

The Effects of Higher-Order Approximations in a Fluid-Filled Elastic Tube with Stenosis

Demı́ray

2006

Zeitschrift Für Naturforschung A

Self Cite

View full text Add to dashboard Cite

Treating arteries as thin-walled prestressed elastic tubes with a narrowing (stenosis) and blood as an inviscid fluid, we study the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method in the long wave approximation. It is shown that the evolution equation of the first-order term in the perturbation expansion may be described by the conventional Korteweg-de Vries (KdV) equation. The evolution equation for the second-order term is found to be the linearized KdV equation with a nonhomogeneous term, which contains the contribution of the stenosis. A progressive wave type solution is sought for the evolution equation, and it is observed that the wave speed is variable, which results from the stenosis. We study the variation of the wave speed with the distance parameter τ for various amplitude values of the stenosis. It is observed that near the center of the stenosis the wave speed decreases with increasing stenosis amplitude. However, sufficiently far from the center of the stenosis stenosis amplitude becomes negligibly small.

show abstract

“…The incompressible hypothesis is a convenient way to simplify the identification process and has been used in several works (Demiray, 1972;Veronda and Westmann, 1970;Weiss, 1994). A recent study has shown that the water contained in the ligament can flow out of the specimen during tensile stretch (e.g.…”

Section: Discussionmentioning

confidence: 99%

Viscoelastic constitutive law in large deformations

Pioletti

Rakotomanana

Benvenuti

et al. 1998

Journal of Biomechanics

228

View full text Add to dashboard Cite

Traction tests on soft tissues show that the shape of the stress-strain curves depends on the strain rate at which the tests are performed. Many of the constitutive models that have been proposed fail to properly consider the effect of the strain rate when large deformations are encountered. In the present study, a framework based on elastic and viscous potentials is developed. The resulting constitutive law is valid for large deformations and satisfies the principles of thermodynamics. Three parameters -two for the elasticity and one for the viscosity -were enough to precisely fit the non-linear stress-strain curves obtained at different strain rates with human cruciate ligaments and patellar tendons. The identification results then in a realistic, three-dimensional viscoelastic constitutive law. The developed constitutive law can be used regardless of the strain or rotation values. It can be incorporated into a finite element program to model the viscoelastic behavior of ligaments and tendons under dynamic situations.

show abstract

A note on the elasticity of soft biological tissues

Cited by 349 publications

References 4 publications

Non-linear viscoelastic laws for soft biological tissues

Non-linear viscoelastic laws for soft biological tissues

The Effects of Higher-Order Approximations in a Fluid-Filled Elastic Tube with Stenosis

Viscoelastic constitutive law in large deformations

Contact Info

Product

Resources

About