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On the formulation of constitutive equations for living soft tissues

William Prager
- 01 Jan 1969 - 
- Vol. 27, Iss: 1, pp 128-132
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TLDR
In this article, constitutive equations are developed that describe this kind of mechanical behavior and include Hooke's law as a limiting case, which assure uniqueness of solution for a broad class of boundary value problems.
Abstract
: Soft living tissues deform freely under negligible stresses until a certain strain level is reached at which their stiffness increases sharply. Constitutive equations are developed that describe this kind of mechanical behavior and include Hooke's law as a limiting case. It is shown that, similar to Hooke's law, these constitutive equations assure uniqueness of solution for a broad class of boundary value problems. Possible extensions of the theory are briefly indicated. (Author)

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Citations
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Journal ArticleDOI

Collagen fiber orientation at the tendon to bone insertion and its influence on stress concentrations

TL;DR: Comparison between stress concentrations in this idealized model and those in three comparison models suggests that the microstructure of the insertion serves to simultaneously reduce stress concentrations and material mass, and shield the insertion's outward splay from the highest stresses.
Journal ArticleDOI

Mathematical Modeling of Ligaments and Tendons

TL;DR: A survey of developments in mathematical modeling of ligaments and tendons over the past 20 years is presented; quasi-linear viscoelasticity (QLV), which has been widely used in the past20 years, and the recently proposed single integral finite strain (SIFS) model are discussed.
Journal ArticleDOI

Dispersion and Attenuation of Small Artificial Pressure Waves in the Canine Aorta

TL;DR: Its application to the thoracic aortas of 18 mature mongrel dogs anesthetized with pentobarbital has shown that dispersion and attenuation data for frequencies between 40 and 200 cps can be obtained without requiring either Fourier transform computations or resolution of reflection interference.
Journal ArticleDOI

Bi-material attachment through a compliant interfacial system at the tendon-to-bone insertion site

TL;DR: Numerical optimization of a mathematical model of an insertion site shows that stress concentrations can be reduced by a biomimetic grading of material properties, and suggests a new approach to functional grading for minimization of stress concentrations at interfaces.
Journal ArticleDOI

Fibrocartilage tissue engineering: the role of the stress environment on cell morphology and matrix expression

TL;DR: These studies support the hypothesis that the 3D stress environment influences cell activity and gene expression in fibrocartilage development, and develop and applied an in vitro system to determine whether fibrocartsilage can develop under a state of periodic hydrostatic tension in which only a single principal component of stress is compressive.
References
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Journal ArticleDOI

Elasticity of soft tissues in simple elongation

TL;DR: A theoretical framework is presented in which the elastic properties of soft tissues can be described and it is shown that the mathematical formulation works well also in reducing published data on the series element of the heart and striated muscles, and the skin.
Journal ArticleDOI

On Ideal Locking Materials

William Prager
- 01 Jan 1957 - 
Book ChapterDOI

On elastic, perfectly locking materials

W. Prager
TL;DR: In this article, the authors describe the mechanical behavior of the elastic, perfectly locking material considered in this paper by a finite number of scalar functions of the strain components, which are called locking functions.
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