Determination of material parameters of isotropic and anisotropic hyper-elastic materials using boundary measured data
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In this paper, a method is presented to obtain the mechanical constants of Mooney-Rivlin and Holzapfel hyper-elastic material models which are employed to describe the behavior of isotropic and anisotropic hyperelastic materials, respectively.Abstract:
Identification of mechanical properties of isotropic and anisotropic materials that demonstrate non-linear elastic behavior, such as rubbers and soft tissues of human body, is critical for many industrial and medical purposes. In this paper, a method is presented to obtain the mechanical constants of Mooney-Rivlin and Holzapfel hyper-elastic material models which are employed to describe the behavior of isotropic and anisotropic hyper-elastic materials, respectively. By using boundary measured data from a sample with non-standard geometry, and by using an iterative inverse analysis technique, the material constants are obtained. The method uses the results of different experiments simultaneously to obtain the material parameters more accurately. The effectiveness of the proposed method is demonstrated through three examples. In the two first examples, the simulated measured data are used, while in the third example, the experimental data obtained from a polyvinyl alcohol sample are used.read more
Citations
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Determination of the Material Parameters in the Holzapfel-Gasser-Ogden Constitutive Model for Simulation of Age-Dependent Material Nonlinear Behavior for Aortic Wall Tissue under Uniaxial Tension
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Inverse determination of elastic constants of a hyper-elastic member with inclusions using simple displacement/length measurements:
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Proceedings ArticleDOI
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Inflation, extension and torsion analysis of compressible functionally graded hyperelastic tubes
TL;DR: In this article, the problem of inflation, extension and torsion of a functionally graded compressible hyperelastic tube is formulated as a one-dimensional problem and is solved using the finite difference method.
References
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Book
Biomechanics: Mechanical Properties of Living Tissues
Yuan-Cheng Fung,Richard Skalak +1 more
TL;DR: This chapter discusses the mechanics of Erythrocytes, Leukocytes, and Other Cells, and their role in Bone and Cartilage, and the properties of Bioviscoelastic Fluids, which are a by-product of these cells.
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A new constitutive framework for arterial wall mechanics and a comparative study of material models
TL;DR: In this paper, the authors developed a constitutive law for the description of the (passive) mechanical response of arterial tissue, where the artery is modeled as a thick-walled nonlinearly elastic circular cylindrical tube consisting of two layers corresponding to the media and adventitia.
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Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science
Journal ArticleDOI
Hyperelastic modelling of arterial layers with distributed collagen fibre orientations
TL;DR: A structural continuum framework that is able to represent the dispersion of the collagen fibre orientation is developed and allows the development of a new hyperelastic free-energy function that is particularly suited for representing the anisotropic elastic properties of adventitial and intimal layers of arterial walls.
Journal ArticleDOI
Elastic Moduli of Breast and Prostate Tissues under Compression
TL;DR: To evaluate the dynamic range of tissue imaged by elastography, the mechanical behavior of breast and prostate tissue samples subject to compression loading has been investigated and the data show that breast fat tissue has a constant modulus over the strain range tested while the other tissues have a modulus that is dependent on the strain level.