Nanoindentation testing and finite element simulations of cortical bone allowing for anisotropic elastic and inelastic mechanical response

Carnelli, Davide; Lucchini, Riccardo; Ponzoni, Matteo; Contro, R.; Vena, Pasquale

doi:10.1016/j.jbiomech.2011.04.020

Cited by 58 publications

(44 citation statements)

References 27 publications

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“…Literature studies on human and bovine bone found an anisotropy ratio of around 1.5 for the elastic properties at the microscale [13,14,17,18,43–45]. Hardness was investigated in significantly less studies with anisotropy ratios varying from 1.1 to 1.3 [17,18,44]. The mentioned ratios are similar to what is obtained in our study on mouse femurs (see Results section and figure 3).…”

Section: Discussionsupporting

confidence: 85%

“…Rodent bone does not present an osteonal structural organization, but their collagen fibres are also mainly oriented in an axial direction in their long bones [42]. Literature studies on human and bovine bone found an anisotropy ratio of around 1.5 for the elastic properties at the microscale [13,14,17,18,43–45]. Hardness was investigated in significantly less studies with anisotropy ratios varying from 1.1 to 1.3 [17,18,44].…”

Section: Discussionmentioning

confidence: 99%

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Nanoindentation analysis of the micromechanical anisotropy in mouse cortical bone

et al. 2017

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Studies investigating micromechanical properties in mouse cortical bone often solely focus on the mechanical behaviour along the long axis of the bone. Therefore, data on the anisotropy of mouse cortical bone is scarce. The aim of this study is the first-time evaluation of the anisotropy ratio between the longitudinal and transverse directions of reduced modulus and hardness in mouse femurs by using the nanoindentation technique. For this purpose, nine 22-week-old mice (C57BL/6) were sacrificed and all femurs extracted. A total of 648 indentations were performed with a Berkovich tip in the proximal (P), central (C) and distal (D) regions of the femoral shaft in the longitudinal and transverse directions. Higher values for reduced modulus are obtained for indentations in the longitudinal direction, with anisotropy ratios of 1.72 ± 0.40 (P), 1.75 ± 0.69 (C) and 1.34 ± 0.30 (D). Hardness is also higher in the longitudinal direction, with anisotropic ratios of 1.35 ± 0.27 (P), 1.35 ± 0.47 (C) and 1.17 ± 0.19 (D). We observed a significant anisotropy in the micromechanical properties of the mouse femur, but the correlation for reduced modulus and hardness between the two directions is low (r2 < 0.3) and not significant. Therefore, we highly recommend performing independent indentation testing in both the longitudinal and transverse directions when knowledge of the tissue mechanical behaviour along multiple directions is required.

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Section: Discussionsupporting

confidence: 85%

Section: Discussionmentioning

confidence: 99%

Nanoindentation analysis of the micromechanical anisotropy in mouse cortical bone

et al. 2017

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“…Several studies have considered von Mises plasticity which neglects pressure dependent yield (Lotz et al, 1991;Keyak and Rossi, 2000;Keyak, 2001;Mullins et al, 2009;Adam and Swain, 2011). Additionally, several studies have focused on the Drucker-Prager (DP) (Mercer et al, 2006;Bessho et al, 2007;Mullins et al, 2009;Carnelli et al, 2010;Adam and Swain, 2011;Carnelli et al, 2011) and MohrCoulomb (MC) (Tai et al, 2006;Wang et al, 2008) constitutive formulations. Through the definition of a friction angle the DP and MC models allow for an increasing yield stress for increasing pressure.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical characterisation of the elasto-plastic properties of bovine trabecular bone and a trabecular bone analogue

Kelly

McGarry

2012

Journal of the Mechanical Behavior of Biomedical Materials

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“…In addition to its applications in nanomedicine, nanoindentation is increasingly being used to probe the microstructural components of human and mammalian bones [49][50][51][52][53]. Nanoindentation provides a powerful experimental technique in order to assess bone tissue mechanical resistance at the material level, and FE modelling and analysis of the indentation allows inverse determination of elastoplastic constitutive properties [49].…”

Section: Nanoindentation In Nanomedicine and Dentistrymentioning

confidence: 99%

Finite-Element Modeling and Analysis in Nanomedicine and Dentistry

2014

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This article aims to provide a brief background to the current applications of finite-element analysis (FEA) in nanomedicine and dentistry. FEA was introduced in orthopedic biomechanics in the 1970s in order to assess the stresses and deformation in human bones during functional loadings and in the design and analysis of implants. Since then, it has been applied with great frequency in orthopedics and dentistry in order to analyze issues such as implant design, bone remodeling and fracture healing, the mechanical properties of biomedical coatings on implants and the interactions at the bone-implant interface. More recently, FEA has been used in nanomedicine to study the mechanics of a single cell and to gain fundamental insights into how the particulate nature of blood influences nanoparticle delivery.

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Nanoindentation testing and finite element simulations of cortical bone allowing for anisotropic elastic and inelastic mechanical response

Cited by 58 publications

References 27 publications

Nanoindentation analysis of the micromechanical anisotropy in mouse cortical bone

Nanoindentation analysis of the micromechanical anisotropy in mouse cortical bone

Experimental and numerical characterisation of the elasto-plastic properties of bovine trabecular bone and a trabecular bone analogue

Finite-Element Modeling and Analysis in Nanomedicine and Dentistry

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