Yield strain behavior of trabecular bone

Kopperdahl, David L.; Keaveny, Tony M.

doi:10.1016/s0021-9290(98)00057-8

Cited by 555 publications

(386 citation statements)

References 28 publications

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“…[39][40][41][42][43] Additionally, our low measurements could be due to differences in testing methodologies, anatomic site and/or donor age. 33,34,[39][40][41][42][43][44][45] We note that our relationship between BV/TV and elastic modulus appears weaker than that in several other studies, where 60-80% of the variability in elastic modulus is explained by volume fraction. This FACTORS INFLUENCING HUMAN VERTEBRAL TRABECULAR BONE MECHANICS may be due to the limited age range (and therefore bone density) of our donors compared to previously published studies, as a broader age (and density) range would likely lead to a higher correlation coefficient.…”

Section: Discussioncontrasting

confidence: 91%

“…By design, the mean age of our donors was higher than other studies, and the age range was smaller than previous studies. 33,[39][40][41][42][43][44]46 Because we limited our sample to elderly donors, our results are not likely to be representative of the general population, but rather of an elderly population. This is important to consider when interpreting our results, as a study with a larger age range (i.e., young to old) may have different findings.…”

Section: Discussionmentioning

confidence: 99%

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Effects of preexisting microdamage, collagen cross‐links, degree of mineralization, age, and architecture on compressive mechanical properties of elderly human vertebral trabecular bone

Follet

Viguet-Carrin

Burt‐Pichat

et al. 2010

Journal Orthopaedic Research

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Previous studies have shown that the mechanical properties of trabecular bone are determined by bone volume fraction (BV/ TV) and microarchitecture. The purpose of this study was to explore other possible determinants of the mechanical properties of vertebral trabecular bone, namely collagen cross-link content, microdamage, and mineralization. Trabecular bone cores were collected from human L2 vertebrae (n ¼ 49) from recently deceased donors 54-95 years of age (21 men and 27 women). Two trabecular cores were obtained from each vertebra, one for preexisting microdamage and mineralization measurements, and one for BV/TV and quasi-static compression tests. Collagen cross-link content (PYD, DPD, and PEN) was measured on surrounding trabecular bone. Advancing age was associated with impaired mechanical properties, and with increased microdamage, even after adjustment by BV/TV. BV/TV was the strongest determinant of elastic modulus and ultimate strength (r 2 ¼ 0.44 and 0.55, respectively). Microdamage, mineralization parameters, and collagen cross-link content were not associated with mechanical properties. These data indicate that the compressive strength of human vertebral trabecular bone is primarily determined by the amount of trabecular bone, and notably unaffected by normal variation in other factors, such as crosslink profile, microdamage and mineralization. Keywords: bone strength; microdamage; microarchitecture; mineralization; collagen cross-links; vertebral trabecular bone Several studies have shown that the mechanical properties of trabecular bone are influenced by bone volume fraction (BV/TV) and microarchitecture. 1,2 However, additional factors, such as degree of mineralization, preexisting microdamage, and collagen cross-link profile may also play a role, yet the contribution of these factors to human trabecular bone mechanical properties remains incompletely understood.Increased mineralization of cortical bone is exponentially related to increased stiffness, but decreased energy absorption. 3 A similar trend was seen in human trabecular bone from the calcaneus, with a positive relationship between mineralization and elastic modulus, after adjusting for BV/TV. 4 It has also been suggested that a reduction in the heterogeneity of mineralization density distribution leads to increased bone fragility, 5 but there are few data to support this assertion.Microdamage has been largely studied in animal models and in human cortical bone, with only a few studies reporting microdamage in human trabecular bone either naturally occurring 6-11 or due to loading ex-vivo. 12 In cortical bone, microdamage accumulation leads to decreased mechanical properties, 13,14 and therefore has been implicated in skeletal fragility and stress fractures. 15 However, the association between microdamage and cortical bone fracture toughness was weak, 16 raising questions as to the role of microdamage in cortical bone. Increased microdamage has also been associated with decreased strength in human vertebral cancellous bone; 1...

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Section: Discussioncontrasting

confidence: 91%

Section: Discussionmentioning

confidence: 99%

Effects of preexisting microdamage, collagen cross‐links, degree of mineralization, age, and architecture on compressive mechanical properties of elderly human vertebral trabecular bone

Follet

Viguet-Carrin

Burt‐Pichat

et al. 2010

Journal Orthopaedic Research

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“…At that dimensional scale a number of studies have investigated the relationships between trabecular and cortical bone apparent mechanical properties and their volume fraction, mineral density and microarchitecture (Kaneko et al, 2003;Kopperdahl and Keaveny, 1998;Li et al, 2013;Nyman et al, 2009;Ohman et al, 2007;Wolfram et al, 2011), by means of mechanical testing and micro computed tomography (µCT) scanning. However, little is known about the local distribution of stress and strain of bone under certain loads, information necessary to study how bone structure and its local mechanical competence are related.…”

Section: Introductionmentioning

confidence: 99%

About the inevitable compromise between spatial resolution and accuracy of strain measurement for bone tissue: A 3D zero-strain study

Dall’Ara

Barber

Viceconti

2014

Journal of Biomechanics

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The accurate measurement of local strain is necessary to study bone mechanics and to validate micro computed tomography (µCT) based finite element (FE) models at the tissue scale. Digital volume correlation (DVC) has been used to provide a volumetric estimation of local strain in trabecular bone sample with a reasonable accuracy. However, nothing has been reported so far for µCT based analysis of cortical bone. The goal of this study was to evaluate accuracy and precision of a deformable registration method for prediction of local zero-strains in bovine cortical and trabecular bone samples.The accuracy and precision were analyzed by comparing scans virtually displaced, repeated scans without any repositioning of the sample in the scanner and repeated scans with repositioning of the samples.The analysis showed that both precision and accuracy errors decrease with increasing the size of the region analyzed, by following power laws. The main source of error was found to be the intrinsic noise of the images compared to the others investigated. The results, once extrapolated for larger regions of interest that are typically used in the literature, were in most cases better than the ones previously reported. For a nodal spacing equal to 50 voxels (498 µm), the accuracy and precision ranges were 425-692 µ and 202-394µ , respectively. In conclusion, it was shown that the proposed method can be used to study the local deformation of cortical and trabecular bone loaded beyond yield, if a sufficiently high nodal spacing is used.3

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“…To characterise the mechanical properties of trabecular bone previous studies have primarily relied on uniaxial compression testing of representative samples of trabecular bone (Goldstein 1987;Røhl et al 1991;Kopperdahl and Keaveny 1998;Morgan and Keaveny 2001;Keaveny et al 1993;Keyak et al 1996). Few studies have performed confined compression testing Linde and Hvid 1989;Charlebois et al 2010a) or multiaxial compression testing (Fenech and Keaveny 1999;Keaveny et al 1999;Rincon-Kohli and Zysset 2009) although trabecular bone is naturally constrained in vivo by the surrounding 6 cortex.…”

Section: Introductionmentioning

confidence: 99%

An experimental and computational investigation of the post-yield behaviour of trabecular bone during vertebral device subsidence

Kelly

Harrison

McDonnell

et al. 2012

Biomech Model Mechanobiol

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PublisherSpringer-Verlag AbstractInterbody fusion device subsidence has been reported clinically. An enhanced understanding of the mechanical behaviour of the surrounding bone would allow for accurate predictions of vertebral subsidence. The multiaxial inelastic behaviour of trabecular bone is investigated at a microscale and macroscale level. The post-yield behaviour of trabecular bone under hydrostatic and confined compression is investigated using micro-computed tomography derived microstructural models, elucidating a mechanism of pressure dependent yielding at the macroscopic level. Specifically, microstructural trabecular simulations predict a distinctive yield point in the apparent stress-strain curve under uniaxial, confined and hydrostatic compression. Such distinctive apparent stress-strain behaviour results from localised stress concentrations and material yielding in the trabecular microstructure. This phenomenon is shown to be independent of the plasticity formulation employed at a trabecular level. The distinctive response can be accurately captured by a continuum model using a crushable foam plasticity formulation in which pressure dependent yielding occurs.Vertebral device subsidence experiments are also performed, providing measurements of the trabecular plastic zone. It is demonstrated that a pressure dependent plasticity formulation must be used for continuum level macroscale models of trabecular bone in order to replicate the experimental observations, further supporting the microscale investigations. Using a crushable foam plasticity formulation in the simulation of vertebral subsidence, it is shown that the predicted subsidence force and plastic zone size correspond closely with the experimental measurements. In contrast the use of von Mises, Drucker-Prager and Hill plasticity formulations for continuum trabecular bone models lead to over prediction of the subsidence force and plastic zone.

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Yield strain behavior of trabecular bone

Cited by 555 publications

References 28 publications

Effects of preexisting microdamage, collagen cross‐links, degree of mineralization, age, and architecture on compressive mechanical properties of elderly human vertebral trabecular bone

Effects of preexisting microdamage, collagen cross‐links, degree of mineralization, age, and architecture on compressive mechanical properties of elderly human vertebral trabecular bone

About the inevitable compromise between spatial resolution and accuracy of strain measurement for bone tissue: A 3D zero-strain study

An experimental and computational investigation of the post-yield behaviour of trabecular bone during vertebral device subsidence

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