A quasi-brittle continuum damage finite element model of the human proximal femur based on element deletion

Hambli, Ridha

doi:10.1007/s11517-012-0986-5

Cited by 66 publications

(43 citation statements)

References 93 publications

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“…The structural integrity of quasi-brittle materials, such as graphite [1][2][3], ceramic composites [4] and bone and bone replacements [5], is commonly assessed with the conservative assumption of brittle fracture (e.g. [6,7]).…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional crack observation, quantification and simulation in a quasi-brittle material

et al. 2013

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To investigate the fracture behaviour of polygranular graphite (a quasi-brittle material), crack propagation in a short bar chevron notched specimen was studied by synchrotron X-ray computed tomography combined with digital volume correlation. Displacements were measured within the loaded test specimen, particularly the three-dimensional (3-D) profile of crack opening displacement. Analysis of the 3-D displacement field confirmed the existence of distributed damage in a fracture process zone, which significantly increased the effective crack length. Finite element simulations affirmed that the measured crack opening profiles could be reproduced using a cohesive zone model, but not with a linear elastic analysis. Comparing the simulation to the experimental results, it was deduced that the critical strain energy release rate varied across the crack front, i.e. the fracture toughness is constraint-dependent. This is proposed to be a general characteristic of quasi-brittle materials.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional crack observation, quantification and simulation in a quasi-brittle material

et al. 2013

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“…The form of the equation is similar to that used in a previous quasi‐brittle damage model of bone . The damage exponent of 1.25 was adopted from a study of microdamage in trabecular bone, and the damage coefficient of 100 was selected based on compression tests of trabecular bone . This combination of parameters was chosen because it caused ultimate stress and strain predicted by the material model (Equations and ) to closely match the average measured ultimate stress and strain (<1% difference), and reasonably predicted the 0.5% offset yield stress and strain (<10% difference).…”

Section: Methodsmentioning

confidence: 99%

Previous Damage Accumulation Can Influence Femoral Fracture Strength: A Finite Element Study

Haider

Frei

2019

Journal Orthopaedic Research

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To manage osteoporotic hip fracture risk, it is necessary to understand failure mechanisms of bone at both the material and organ level. The structural response of bone is dependent on load history. Repeated loading causes progressive microstructural cracking, resulting in reduced apparent‐level stiffness and, if damage is significant, reductions to peak load bearing capability. However, the effect of previous damage accumulation has not been well explored at the organ level. It was hypothesized that femoral fracture load and fracture pattern may be sensitive to damage accumulation from previous loading events. Six cadaveric specimens were used to develop patient specific finite element (FE) models from quantitative tomographic (qCT) scans. Material properties were assigned from qCT intensity at each element location, and damage evolution was predicted using a previously validated quasi‐brittle FE model. Three scenarios were investigated: stumble followed by another stumble (S‐S), fall followed by another fall (F‐F), and stumble followed by a fall (S‐F). Fracture load and pattern were compared to FE predictions for a single stumble (S) or single fall (F) loading event. Most specimens were resilient to accumulated damage, showing little (<5%) change in fracture load from the multiple‐load scenarios (S‐S, F‐F, and S‐F) compared to an equivalent single load scenario (S or F). Only one specimen demonstrated moderate (5–15%) reductions in strength from all three multiple‐load scenarios. However, two specimens experienced moderate (20–30%) increase in fracture load in some load cases. In these cases, initial damage caused the load to be more evenly distributed upon subsequent loading events. © 2019 Orthopaedic Research Society. Published by Wiley Periodicals, Inc. J Orthop Res 37:2197–2203, 2019

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“…Next, we will briefly outline several representative studies modelling strength, damage, fracture and softening mechanisms of a single trabecula and trabecular bone. Different approaches have been employed including elastic-plastic constitutive laws and progressive damage evolution by element deletion [187][188][189][190][191][192][193][194][195][196][197][198][199][200][201]. Due to the complex architecture of trabecular bone, many of the models used micro-computed tomography (mCT) based three-dimensional voxel FEM models, which give an accurate representation of trabecular bone geometry [192][193][194][195].…”

Section: Models At the Microscale And Larger Scalesmentioning

confidence: 99%

“…More recently, some studies used fracture mechanics concepts to investigate bone fracture. For instance, Hambli et al [196,222,223] modelled the behaviour from initiation of a crack up to a total separation of bone. They developed an FEM model of the proximal femur (figure 17) based on continuum damage mechanics to obtain force-displacement curves under a one-leg stance, from the beginning of loading to complete fracture.…”

Section: Models At the Microscale And Larger Scalesmentioning

confidence: 99%

Modelling of bone fracture and strength at different length scales: a review

Sabet¹,

Najafi²,

Hamed³

et al. 2016

Interface Focus.

113

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In this paper, we review analytical and computational models of bone fracture and strength. Bone fracture is a complex phenomenon due to the composite, inhomogeneous and hierarchical structure of bone. First, we briefly summarize the hierarchical structure of bone, spanning from the nanoscale, sub-microscale, microscale, mesoscale to the macroscale, and discuss experimental observations on failure mechanisms in bone at these scales. Then, we highlight representative analytical and computational models of bone fracture and strength at different length scales and discuss the main findings in the context of experiments. We conclude by summarizing the challenges in modelling of bone fracture and strength and list open topics for scientific exploration. Modelling of bone, accounting for different scales, provides new and needed insights into the fracture and strength of bone, which, in turn, can lead to improved diagnostic tools and treatments of bone diseases such as osteoporosis.

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A quasi-brittle continuum damage finite element model of the human proximal femur based on element deletion

Abstract: To cite this version:Ridha

Cited by 66 publications

References 93 publications

Three-dimensional crack observation, quantification and simulation in a quasi-brittle material

Three-dimensional crack observation, quantification and simulation in a quasi-brittle material

Previous Damage Accumulation Can Influence Femoral Fracture Strength: A Finite Element Study

Modelling of bone fracture and strength at different length scales: a review

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