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hyperelastic-material-models
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Effect of axonal fiber architecture on mechanical heterogeneity of the white matter—a statistical micromechanical model
, Article Computer Methods in Biomechanics and Biomedical Engineering ; 2021 ; 10255842 (ISSN) ; Farahmand, F ; Ahmadian, M. T ; Sharif University of Technology
Taylor and Francis Ltd
2021
Abstract
A diffusion tensor imaging (DTI) -based statistical micromechanical model was developed to study the effect of axonal fiber architecture on the inter- and intra-regional mechanical heterogeneity of the white matter. Three characteristic regions within the white matter, i.e., corpus callosum, brain stem, and corona radiata, were studied considering the previous observations of locations of diffuse axonal injury. The embedded element technique was used to create a fiber-reinforced model, where the fiber was characterized by a Holzapfel hyperelastic material model with variable dispersion of axonal orientations. A relationship between the fractional anisotropy and the dispersion parameter of...
Micromechanics of brain white matter tissue: a fiber-reinforced hyperelastic model using embedded element technique
, Article Journal of the Mechanical Behavior of Biomedical Materials ; Volume 80 , April , 2018 , Pages 194-202 ; 17516161 (ISSN) ; Shamloo, A ; Farahmand, F ; Sharif University of Technology
Elsevier Ltd
2018
Abstract
A transverse-plane hyperelastic micromechanical model of brain white matter tissue was developed using the embedded element technique (EET). The model consisted of a histology-informed probabilistic distribution of axonal fibers embedded within an extracellular matrix, both described using the generalized Ogden hyperelastic material model. A correcting method, based on the strain energy density function, was formulated to resolve the stiffness redundancy problem of the EET in large deformation regime. The model was then used to predict the homogenized tissue behavior and the associated localized responses of the axonal fibers under quasi-static, transverse, large deformations. Results...
Application of hyperelastic models in mechanical properties prediction of mouse oocyte and embryo cells at large deformations
, Article Scientia Iranica ; Volume 25, Issue 2B , March , 2018 , Pages 700-710 ; 10263098 (ISSN) ; Ahmadian, M. T ; Alizadeh, A ; Tarighi, S ; Sharif University of Technology
Sharif University of Technology
2018
Abstract
Biological cell studies have many applications in biology, cell manipulation, and diagnosis of diseases such as cancer and malaria. In this study, Inverse Finite Element Method (IFEM) combined with Levenberg-Marquardt optimization algorithm has been used to extract and characterize material properties of mouse oocyte and embryo cells at large deformations. Then, the simulation results have been validated using data from experimental works. In this study, it is assumed that cell material is hyperelastic, isotropic, homogenous, and axisymmetric. For inverse analysis, FEM model of cell injection experiment implemented in Abaqus software has been coupled with Levenberg-Marquardt optimization...
Investigation of the effect of high +Gz accelerations on human cardiac function
, Article Journal of the Mechanical Behavior of Biomedical Materials ; Volume 27 , 2013 , Pages 54-63 ; 17516161 (ISSN) ; Ahmadian, M. T ; Sharif University of Technology
Abstract
This study investigates the effect of body acceleration on human cardiac function. Finite element analysis is conducted to simulate geometrical and mechanical properties of human heart. Heart geometrical modeling in three-dimension is performed by segmentation of cardiac MRI images. The nonlinear mechanical behavior of myocardium is modeled by Mooney-Rivlin, Polynomial, Ogden and Yeoh hyperelastic material models. Stress-strain curves of myocardial tissue are obtained from experimental compression tests on bovine heart samples. The experimental results are employed for the evaluation of material coefficients by the nonlinear least squares method. Among hyperelastic models, the Yeoh model...