Fabric-based Tsai–Wu yield criteria for vertebral trabecular bone in stress and strain space

Wolfram, Uwe; Groß, Thomas; Pahr, Dieter H.; Schwiedrzik, Jakob; Wilke, Hans–Joachim; Zysset, Philippe

doi:10.1016/j.jmbbm.2012.07.005

Cited by 65 publications

(103 citation statements)

References 32 publications

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“…The selection of this criterion is based on mechanical properties of the bone, which seem to behave as a ductile material (Dreischarft et al, 2014; Wolfram et al, 2012).…”

Section: Problem Formulationmentioning

confidence: 99%

The Finite Element Analysis of Osteoporotic Lumbar Vertebral Body by Influence of Trabecular Bone Apparent Density and Thickness of Cortical Shell

Ardatov

Maknickas

Alekna

et al. 2017

Acta Mechanica Et Automatica

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Abstract:Osteoporosis causes the bone mass loss and increased fracture risk. This paper presents the modelling of osteoporotic human lumbar vertebrae L1 by employing finite elements method (FEM). The isolated inhomogeneous vertebral body is composed by cortical outer shell and cancellous bone. The level of osteoporotic contribution is characterised by reducing the thickness of cortical shell and elasticity modulus of cancellous bone using power-law dependence with apparent density. The strength parameters are evaluated on the basis of von Mises-Hencky yield criterion. Parametric study of osteoporotic degradation contains the static and nonlinear dynamic analysis of stresses that occur due to physiological load. Results of our investigation are presented in terms of nonlinear interdependence between stress and external load.

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“…The selection of this criterion is based on mechanical properties of the bone, which seem to behave as a ductile material (Dreischarft et al, 2014; Wolfram et al, 2012).…”

Section: Problem Formulationmentioning

confidence: 99%

The Finite Element Analysis of Osteoporotic Lumbar Vertebral Body by Influence of Trabecular Bone Apparent Density and Thickness of Cortical Shell

Ardatov

Maknickas

Alekna

et al. 2017

Acta Mechanica Et Automatica

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show abstract

“…The selection of this criterion is based on mechanical properties of the bone, which seem to behave as a ductile material [4], [5]. Also, the structure of model is continuous, so the Von Mises stress criterion is applied on research of stresses, which occur on cortical shell of the model.…”

Section: Modelling Problem Formulationmentioning

confidence: 99%

Finite element analysis of osteoporotic lumbar vertebrae L1 under dynamic loading

Ardatov¹,

Alekna²,

Maknickas³

et al. 2016

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“…Based on high-resolution threedimensional images from CT [11], micro-magnetic resonance imaging [12], or serial reconstructions [13], FE models of trabecular bone structures can be generated and analyzed in any desired loading configuration. Results of such simulations shed light on the biomechanics of trabecular bone by revealing the morphology-property relationships for stiffness [14,15] or strength [16,17].…”

Section: Introductionmentioning

confidence: 99%

“…No broad consensus has been reached yet on which mechanical model describes the tissue postelastic behavior best. While it has been widely agreed upon that bone shows a distinct tension-compression asymmetry in its yield properties, several different yield surfaces have been used in the past to model trabecular bone tissue such as principal-strain-based [25,26], cast iron [17,27], eccentric von Mises [28,29], or Drucker-Lode plasticity [30]. The use of plasticity models to determine apparent yield properties of trabecular bone from CT datasets is in line with the finding of elastoplastic deformation of bone tissue on the lamellar level up to moderate strains of 10-20%, which has been recently found in micropillar compression tests [31].…”

Section: Introductionmentioning

confidence: 99%

Experimental validation of a nonlinear μFE model based on cohesive‐frictional plasticity for trabecular bone

Schwiedrzik

Groß

Bina

et al. 2015

Numer Methods Biomed Eng

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Trabecular bone is a porous mineralized tissue playing a major load bearing role in the human body. Prediction of age-related and disease-related fractures and the behavior of bone implant systems needs a thorough understanding of its structure-mechanical property relationships, which can be obtained using microcomputed tomography-based finite element modeling. In this study, a nonlinear model for trabecular bone as a cohesive-frictional material was implemented in a large-scale computational framework and validated by comparison of μFE simulations with experimental tests in uniaxial tension and compression. A good correspondence of stiffness and yield points between simulations and experiments was found for a wide range of bone volume fraction and degree of anisotropy in both tension and compression using a non-calibrated, average set of material parameters. These results demonstrate the ability of the model to capture the effects leading to failure of bone for three anatomical sites and several donors, which may be used to determine the apparent behavior of trabecular bone and its evolution with age, disease, and treatment in the future.

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Fabric-based Tsai–Wu yield criteria for vertebral trabecular bone in stress and strain space

Cited by 65 publications

References 32 publications

The Finite Element Analysis of Osteoporotic Lumbar Vertebral Body by Influence of Trabecular Bone Apparent Density and Thickness of Cortical Shell

The Finite Element Analysis of Osteoporotic Lumbar Vertebral Body by Influence of Trabecular Bone Apparent Density and Thickness of Cortical Shell

Finite element analysis of osteoporotic lumbar vertebrae L1 under dynamic loading

Experimental validation of a nonlinear μFE model based on cohesive‐frictional plasticity for trabecular bone

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