An IGA based nonlocal gradient-enhanced damage model for failure analysis of cortical bone

Soni, Aakash; Negi, Alok; Kumar, Sachin; Kumar, Navin

doi:10.1016/j.engfracmech.2021.107976

Cited by 11 publications

(8 citation statements)

References 63 publications

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“…More recently, Soni et al [ 49 ] examined the fracture behavior of cortical bone, which is significantly affected by its hierarchical structure and a high degree of material anisotropy. A nonlocal gradient-enhanced damage model, as mentioned in Equation (9), was implemented in an iso-geometric setting to predict the fracture behavior of cortical bone.…”

Section: Nonlocal Theories In Fatigue Evaluationmentioning

confidence: 99%

A Review on Nonlocal Theories in Fatigue Assessment of Solids

2023

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A review of nonlocal theories utilized in the fatigue and fracture modeling of solid structures is addressed in this paper. Numerous papers have been studied for this purpose, and various nonlocal theories such as the nonlocal continuum damage model, stress field intensity model, peridynamics model, elastic-plastic models, energy-based model, nonlocal multiscale model, microstructural sensitive model, nonlocal lattice particle model, nonlocal high cycle fatigue model, low cycle fatigue model, nonlocal and gradient fracture criteria, nonlocal coupled damage plasticity model and nonlocal fracture criterion have been reviewed and summarized in the case of fatigue and fracture of solid structures and materials.

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Section: Nonlocal Theories In Fatigue Evaluationmentioning

confidence: 99%

A Review on Nonlocal Theories in Fatigue Assessment of Solids

2023

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“…The cortical bone fracture can also be simulated using the continuum damage mechanics theory and the extended finite element method. Both methods can simulate the complete failure process in the cortical bone structure by defining the crack initiation, softening model, and element failure, and can simulate both brittle and ductile fractures by setting different softening models ( Ng et al, 2017 ; Soni et al, 2021 ; Yadav et al, 2021 ; Kumar et al, 2022 ).…”

Section: Introductionmentioning

confidence: 99%

“…However, different strain judging criteria were used among the fracture models discussed above. One part applied the principal strain as the element damage and failure criterion in the cortical bone FE model, while the other part used the equivalent strain ( Ng et al, 2017 ; Remache et al, 2020 ; Soni et al, 2021 ; Kumar et al, 2022 ). Because no standardized strain judging criterion for cortical bone fracture simulation was provided, it is unclear which strain is more suitable for judging the element mechanical state in the FE models under different loading conditions.…”

Section: Introductionmentioning

confidence: 99%

Biomechanical evaluation of different strain judging criteria on the prediction precision of cortical bone fracture simulation under compression

Fan

Liu

Jia

2023

Front. Bioeng. Biotechnol.

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Introduction: The principal strain or equivalent strain is mainly used in current numerical studies to determine the mechanical state of the element in the cortical bone finite element model and then perform fracture simulation. However, it is unclear which strain is more suitable for judging the element mechanical state under different loading conditions due to the lack of a general strain judging criterion for simulating the cortical bone fracture.Methods: This study aims to explore a suitable strain judging criterion to perform compressive fracture simulation on the rat femoral cortical bone based on continuum damage mechanics. The mechanical state of the element in the cortical bone finite element model was primarily assessed using the principal strain and equivalent strain separately to carry out fracture simulation. The prediction accuracy was then evaluated by comparing the simulated findings with different strain judging criteria to the corresponding experimental data.Results: The results showed that the fracture parameters predicted using the principal strain were closer to the experimental values than those predicted using the equivalent strain.Discussion: Therefore, the fracture simulation under compression was more accurate when the principal strain was applied to control the damage and failure state in the element. This finding has the potential to improve prediction accuracy in the cortical bone fracture simulation.

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“…Extended Isogeometric Analysis (XIGA) is the other recently developed computational technique to analyse the moving discontinuities. XIGA is the extension of IGA which has been proposed as a tool to bridge the gap between design and analysis by using the non-uniform rational B-splines [48][49]. In IGA, the basis functions that are used to define the geometry of the domain are also used for the analysis part.…”

Section: Introductionmentioning

confidence: 99%