Bone Anisotropy - Analytical and Finite Element Analysis

Vignoli, Lucas L.; Kenedi, Paulo Pedro

doi:10.1590/1679-78251814

Cited by 6 publications

(2 citation statements)

References 18 publications

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“…where E, n, and G are Young's moduli, Poisson's ratio, and shear moduli of cortical bone, respectively; the value of Poisson's ratio and shear modulus was considered as discussed in earlier published studies. 32,33 It can be seen from equation (10) that the term include the multiplication of two Poisson's ratio is very less and affect negligibly small. Thus, the differences in the values obtained through the analysis of plane stress and plane strain are very less.…”

Section: Fracture Mechanics Formulation For Anisotropic Bonementioning

confidence: 99%

Experimental and numerical comparisons between finite element method, element-free Galerkin method, and extended finite element method predicted stress intensity factor and energy release rate of cortical bone considering anisotropic bone modelling

Kumar

Shitole

Ghosh

et al. 2019

Proc Inst Mech Eng H

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Stress intensity factor and energy release rate are important parameters to understand the fracture behaviour of bone. The objective of this study is to predict stress intensity factor and energy release rate using finite element method, element-free Galerkin method, and extended finite element method and compare these results with the experimentally determined values. For experimental purpose, 20 longitudinally and transversely fractured single-edge notched bend specimens were prepared and tested according to ASTM standard. All specimens were tested using the universal testing machine. For numerical simulations (finite element method, element-free Galerkin method, and extended finite element method), two-dimensional model of cortical bone was developed by assuming plane strain condition. Material properties of the cortical bone were considered as anisotropic and homogeneous. The values obtained through finite element method, element-free Galerkin method, and extended finite element method are well corroborated to experimentally determined values and earlier published data. However, element-free Galerkin method and extended finite element method predict more accurate results as compared to finite element method. In the case of the transversely fractured specimen, the values of stress intensity factor and energy release rate were found to be higher as compared to the longitudinally fractured specimen, which shows consistency with earlier published data. This study also indicates element-free Galerkin method and extended finite element method predicted stress intensity factor and energy release rate results are more close to experimental results as compared to finite element method, and therefore, these methods can be used in the different field of biomechanics, particularly to predict bone fracture.

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Section: Fracture Mechanics Formulation For Anisotropic Bonementioning

confidence: 99%

Experimental and numerical comparisons between finite element method, element-free Galerkin method, and extended finite element method predicted stress intensity factor and energy release rate of cortical bone considering anisotropic bone modelling

Kumar

Shitole

Ghosh

et al. 2019

Proc Inst Mech Eng H

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“…By considering that the pressure vessel is subjected to internal pressure p , the following boundary conditions related to the normal stress on the radial directions must be satisfied for closed-ends. Note that, in general, the normal stress distribution is neither uniform on the cross section nor for pure axial load for anisotropic materials due to equilibrium requirements Vignoli and Kenedi, 2016 .…”

Section: Laminate Homogenization -Asymptotic Homogenizationmentioning

confidence: 99%

Multiscale Failure Analysis of Cylindrical Composite Pressure Vessel: A Parametric Study

Vignoli

Savi

2018

Lat. Am. j. solids struct.

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This paper deals with a multiscale approach to model thick-walled laminate cylinder with internal pressure. Micromechanics defines material homogenization considering two steps: determination of equivalent properties of each lamina from matrix and fiber properties according to the Mori-Tanaka model for elastic properties and to the Bridging model for strengths; and determination of anisotropic homogeneous properties of the laminate built with a set of laminae using asymptotic homogenization. On the other hand, macromechanics determines stress and failure analysis. Lekhnitskii formalism is used to obtain the elastic solution of the stress and strain distributions and failure is analyzed employing the Tsai-Wu criterion. Three different pressure vessel configurations are analyzed according to end conditions: restrained-ends, open-ends and closed-ends. Angle-ply laminates made of carbon fibers and epoxy matrix are considered to evaluate the influence of lay-up angle, fiber volume fraction, wall thickness and end-conditions. The optimum angles as well as the maximum internal pressure are obtained and a parametric analysis is presented. The main results indicate that the optimum angle is almost constant for restrained and closed-ends. On the other hand, for open-end, angle varies in a significant way. Besides, results show that the increase the fiber volume fraction is more effective to increase vessel strength than the increase of the number of layers.

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