Prediction of the mechanical response of the femur with uncertain elastic properties

Wille, H.; Rank, Ernst; Yosibash, Zohar

doi:10.1016/j.jbiomech.2012.02.006

Cited by 32 publications

(19 citation statements)

References 32 publications

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“…Wille et al, [36] used the stochastic operations to pool data cited in the literature based on the relationship between Young's modulus and bone density. All the experiments were pooled over time regarding the E-d (Young's modulus-density) relationship a stochastic relationship between them was developed.…”

Section: Using Stochastic Operatorsmentioning

confidence: 99%

Effect of using different types of methods for the derivation of elastic modulus of bone - A critical survey

2017

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Abstract. The purpose of this paper is to critically review and address the cause of variation in the values of elastic modulus (E) of bone. Properties used for materials (especially) bones is one of the crucial factors in modeling and simulation experiments with sensitive procedures such as Finite Elements. The values of elastic modulus acquired from secondary databases, literature and online repositories differ in many ways. This is due to an underlying fact that different methods are used for one definite set of species and vice versa. According to a human understanding, this might bar the perceptive of use of elastic modulus in the research when (especially) insightful procedures are in question for example Finite Element Analysis (FEA) of materials with sensitive procedures. The means and the methods, through which the values are obtained, do not follow a standard methodology. Thus, this area needs attention. Despite the advances in technology and state-of-the-art methods in the field of biomechanics and biomedical engineering there is a need to formulate a standard method which can produce reliable set of E-values. Through this paper, we seek to raise an important scientific question as to what systemic methodology should be adapted to achieve a value of elastic modulus that is not only reliable, but reasonable as well. The paper also, focus briefly on the sources of error responsible for this variation and the significance of elastic modulus values in important numerical methods such as Finite Elements (FE).

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Section: Using Stochastic Operatorsmentioning

confidence: 99%

Effect of using different types of methods for the derivation of elastic modulus of bone - A critical survey

2017

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“…In Basaruddin et al , both geometrical and material randomness were taken into account by means of perturbation techniques. Wille et al also studied the impact of the variability of the material properties on the mechanical response of femurs. This approach was relying on a simple product of the deterministic response by an identified stochastic function.…”

Section: Introductionmentioning

confidence: 99%

Prediction of apparent properties with uncertain material parameters using high‐order fictitious domain methods and PGD model reduction

Legrain

Chevreuil

Takano

2016

Numerical Meth Engineering

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International audienceThis contribution presents a numerical strategy to evaluate the effective properties of image-based microstructures in the case of random material properties. The method relies on three points: (i) a high-order fictitious domain method; (ii) an accurate spectral stochastic model and (iii) an efficient model reduction method based on the Proper Generalized Decomposition in order to decrease the computational cost introduced by the stochastic model. A feedback procedure is proposed for an automatic estimation of the random effective properties with a given confidence. Numerical verifications highlight the convergence properties of the method for both deterministic and stochastic models. The method is finally applied to a real 3D bone microstructure where the empirical probability density function of the effective behaviour could be obtained

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“…A key parameter limiting accurate calculation of bone strength from CT images remains the accurate assessment of local BMD [41]. Numerous studies were conducted to explore the influence of element size [42], mesh type [43], load configuration and application [44][45][46][47], failure criteria [48], material anisotropy [49][50][51][52][53][54][55], material mapping [56][57][58], and non-linear material behavior [59][60][61][62]. For proximal femur strength, the short term in vivo precision error including repositioning of the subjects reported as coefficient of variation of a given FEA procedure was estimated at 1.85% and the detectable limit at 5.85% [63].…”

Section: Introductionmentioning

confidence: 99%

Comparison of proximal femur and vertebral body strength improvements in the FREEDOM trial using an alternative finite element methodology

Zysset

Pahr

Engelke³

et al. 2015

Bone

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Prediction of the mechanical response of the femur with uncertain elastic properties

Cited by 32 publications

References 32 publications

Effect of using different types of methods for the derivation of elastic modulus of bone - A critical survey

Effect of using different types of methods for the derivation of elastic modulus of bone - A critical survey

Prediction of apparent properties with uncertain material parameters using high‐order fictitious domain methods and PGD model reduction

Comparison of proximal femur and vertebral body strength improvements in the FREEDOM trial using an alternative finite element methodology

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