A heterogeneous orientation criterion for crack modelling in cortical bone using a phantom-node approach

Marco, Miguel; Belda, Ricardo; Miguélez, M.H.; Giner, Eugenio

doi:10.1016/j.finel.2018.04.009

Cited by 24 publications

(17 citation statements)

References 59 publications

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“…The inclusion of a BMD dependent criterion allows the development of true specimen-specific numerical models that take into account the actual state of each specimen. The importance of considering different strength limits to model fracture in a heterogeneous material, such as bone, has been emphasized in [50].…”

Section: Mechanical Properties: Constitutive Model and Failure Criterionmentioning

confidence: 99%

“…Using this method, each crack increment is considered a new analysis and it is possible to predict long fracture paths, reducing convergence problems [36]. A similar procedure, although based on XFEM, has been used by the authors for long fracture paths prediction in other applications [50,52]. With this methodology, convergence problems found using the built-in XFEM capability available in Abaqus are circumvented [6,33].…”

Section: Mechanical Properties: Constitutive Model and Failure Criterionmentioning

confidence: 99%

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Numerical modelling of hip fracture patterns in human femur

Marco

Giner

Caeiro-Rey

et al. 2019

Computer Methods and Programs in Biomedicine

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Background and Objective Hip fracture morphology is an important factor determining the ulterior surgical repair and treatment, because of the dependence of the treatment on fracture morphology. Although numerical modelling can be a valuable tool for fracture prediction, the simulation of femur fracture is not simple due to the complexity of bone architecture and the numerical techniques required for simulation of crack propagation. Numerical models assuming homogeneous fracture mechanical properties commonly fail in the prediction of fracture patterns. This paper focuses on the prediction of femur fracture based on the development of a finite element model able to simulate the generation of long crack paths. Methods The finite element model developed in this work demonstrates the capability of predicting fracture patterns under stance loading configuration, allowing the distinction between the main fracture paths: intracapsular and extracapsular fractures. It is worth noting the prediction of different fracture patterns for the same loading conditions, as observed during experimental tests. Código de campo cambiado 2 Results and conclusions The internal distribution of bone mineral density and femur geometry strongly influences the femur fracture morphology and fracture load. Experimental fracture paths have been analysed by means of micro-computed tomography allowing the comparison of predicted and experimental crack surfaces, confirming the good accuracy of the numerical model.

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Section: Mechanical Properties: Constitutive Model and Failure Criterionmentioning

confidence: 99%

Section: Mechanical Properties: Constitutive Model and Failure Criterionmentioning

confidence: 99%

Numerical modelling of hip fracture patterns in human femur

Marco

Giner

Caeiro-Rey

et al. 2019

Computer Methods and Programs in Biomedicine

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“…To handle this problem, we recently proposed an XFEM interface damage model that is able to capture both crack deflections along cement line interfaces and crack propagation through osteons (Gustafsson et al 2018a). Additionally, Marco et al (2018a) proposed heterogeneous maximum tangential stress criteria to model crack propagation along cement lines. However, the lack of experimental data is reflected in the computational models, where material parameters governing crack propagation are loosely defined and based on assumptions.…”

Section: Introductionmentioning

confidence: 99%

“…As an effect, one set of damage parameters (e.g., parameters used in Abdel-Wahab et al 2012) has been used in almost all XFEM models simulating crack propagation in cortical bone. Furthermore, there is a large uncertainty regarding the cement line stiffness where values used in recent modeling studies range from more than 160 times lower (Marco et al 2018a) to 20% higher (Gustafsson et al 2018a) than the matrix stiffness. Hence, there is a need to thoroughly evaluate the parameters used to model crack propagation in cortical bone.…”

Section: Introductionmentioning

confidence: 99%

Crack propagation in cortical bone is affected by the characteristics of the cement line: a parameter study using an XFEM interface damage model

Gustafsson

Wallin

Khayyeri

et al. 2019

Biomech Model Mechanobiol

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Bulk properties of cortical bone have been well characterized experimentally, and potent toughening mechanisms, e.g., crack deflections, have been identified at the microscale. However, it is currently difficult to experimentally measure local damage properties and isolate their effect on the tissue fracture resistance. Instead, computer models can be used to analyze the impact of local characteristics and structures, but material parameters required in computer models are not well established. The aim of this study was therefore to identify the material parameters that are important for crack propagation in cortical bone and to elucidate what parameters need to be better defined experimentally. A comprehensive material parameter study was performed using an XFEM interface damage model in 2D to simulate crack propagation around an osteon at the microscale. The importance of 14 factors (material parameters) on four different outcome criteria (maximum force, fracture energy, crack length and crack trajectory) was evaluated using ANOVA for three different osteon orientations. The results identified factors related to the cement line to influence the crack propagation, where the interface strength was important for the ability to deflect cracks. Crack deflection was also favored by low interface stiffness. However, the cement line properties are not well determined experimentally and need to be better characterized. The matrix and osteon stiffness had no or low impact on the crack pattern. Furthermore, the results illustrated how reduced matrix toughness promoted crack penetration of the cement line. This effect is highly relevant for the understanding of the influence of aging on crack propagation and fracture resistance in cortical bone. Electronic supplementary material The online version of this article (10.1007/s10237-019-01142-4) contains supplementary material, which is available to authorized users.

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“…Este tema faz parte da área de biomecânica, que envolve o estudo do comportamento estrutural de sistemas biológicos. Segundo Marco et al (2018), o entendimento do processo de fissuração de estruturas ósseas em diferentes escalas ainda é um desafio e sua modelagem computacional pode fornecer resultados promissores para prevenção e reabilitação de estruturas ósseas. Além disso, segundo Taylor e Prendergast (1997) e O 'Brien et al (2005), o emprego de modelos numéricos têm sido muito importantes para remodelação e na reparação do tecido ósseo.…”

Section: Motivação E Justificativaunclassified

Modelagem do processo de fissuração em osso cortical através da técnica de fragmentação de malha de elementos finitos.

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In this work, the crack initiation and propagation process in the microstructure of the cortical bone is simulated using the finite element method combined with a mesh fragmentation technique. Thus, triangular finite elements with high aspect ratio (elements with the base much greater than the height) are inserted in pairs between the interfaces of regular triangular elements, after the fragmentation process to describe the possible crack path trajectories. The microstructure of the cortical bone is modeled as a 4-phased composite material: interstitial matrix, cement line, osteon and Haversian canal. The material non-linearity is represented by the behavior of the high aspect ratio elements via a combined damage model with adequate mechanical properties assigned to each phase of the material. The methodology is employed in the numerical simulations of 6 conceptual representations of the microarchitecture of the cortical bone and 1 model based on the geometry extracted from a digital picture. The mechanical behavior is assessed in tension and bending tests while considering geometries with one or multiple osteons. The results demonstrated that the proposed technique based on the mesh fragmentation process is suitable to represent the crack initiation and propagation process in the cortical bone, with results in good agreement with those available in the literature, including the mechanical influence of the cement line in the cracking process.

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A heterogeneous orientation criterion for crack modelling in cortical bone using a phantom-node approach

Cited by 24 publications

References 59 publications

Numerical modelling of hip fracture patterns in human femur

Numerical modelling of hip fracture patterns in human femur

Crack propagation in cortical bone is affected by the characteristics of the cement line: a parameter study using an XFEM interface damage model

Modelagem do processo de fissuração em osso cortical através da técnica de fragmentação de malha de elementos finitos.

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