Evaluating continuum level descriptions of the medial collateral ligament

Marchi, Benjamin C.; Luetkemeyer, Callan M.; Arruda, Ellen M.

doi:10.1016/j.ijsolstr.2018.01.017

Cited by 7 publications

(3 citation statements)

References 129 publications

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“…Material parameters were determined based on the optimization framework presented in Marchi et al [22]. The mechanical behavior of the ACL along its preferred material direction was assumed to be an average of uniaxial responses from each of its constituent bundles [23].…”

Section: Methodsmentioning

confidence: 99%

Femoral entheseal shape and attachment angle as potential risk factors for anterior cruciate ligament injury

Luetkemeyer

Marchi

Ashton‐Miller

et al. 2018

Journal of the Mechanical Behavior of Biomedical Materials

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Although non-contact human ACL tears are a common knee injury, little is known about why they usually fail near the femoral enthesis. Recent histological studies have identified a range of characteristic femoral enthesis tidemark profiles and ligament attachment angles. We tested the effect of the tidemark profile and attachment angle on the distribution of strain across the enthesis, under a ligament stretch of 1.1. We employed a 2D analytical model followed by 3D finite element models using three constitutive forms and solved with ABAQUS/Standard. The results show that the maximum equivalent strain was located in the most distal region of the ACL femoral enthesis. It is noteworthy that this strain was markedly increased by a concave (with respect to bone) entheseal profile in that region as well as by a smaller attachment angle, both of which are features more commonly found in females. Although the magnitude of the maximum equivalent strain predicted was not consistent among the constitutive models used, it did not affect the relationship observed between entheseal shape and maximum equivalent strain. We conclude that a concave tidemark profile and acute attachment angle at the femoral ACL enthesis increase the risk for ACL failure, and that failure is most likely to begin in the most distal region of that enthesis.

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Section: Methodsmentioning

confidence: 99%

Femoral entheseal shape and attachment angle as potential risk factors for anterior cruciate ligament injury

Luetkemeyer

Marchi

Ashton‐Miller

et al. 2018

Journal of the Mechanical Behavior of Biomedical Materials

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“…In recent years, some significant papers devoted to the use of an approximation formula for the inverse Langevin function in diverse research contexts have been published. Our survey shows the great popularity of rational and Pade´approximants ( [3,6,10,11,[16][17][18][19][20][21][22][23]). We can also note an increased interest in finding a new approximation to the inverse Langevin function ( [1,[24][25][26][27][28]).…”

Section: Introductionmentioning

confidence: 93%

A comprehensive study of the mathematical methods used to approximate the inverse Langevin function

Jedynak

2018

Mathematics and Mechanics of Solids

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This paper is motivated by Marchi and Arruda (Math Mech Solids, 2018), who developed numerous approximations to the inverse Langevin function, minimizing their maximum relative error with the help of special software. We are convinced that this method, together with the minimax approximation, is the most robust and versatile approximation algorithm. It uses one of the first objective functions developed by differential evolution. It guarantees the best solution in one trial. In previous papers, a constraint on the error function of the inverse Langevin function was imposed, but here we discuss the approximants resulting from various types of constraint. The evolution of the different mathematical methods that have been used to approximate the inverse Langevin function will also be treated, providing a useful starting point for researchers beginning to work in the field of approximation theory. To categorize the existing solutions, we find the optimal approximations of the inverse Langevin function for a given complexity and for different constraints on the error function.

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“…Because of its complex components, mechanical behaviours of ACL need be modelled as anisotropic nonlinear materials. Recently Marchi et al [13] built a hybrid constitutive model for medial collateral ligament (MCL) by superposing a slightly compressible, isotropic eight-chain Mackintosh network model with a phenomenological directional component. Since many knee injuries happen when attending sports, time dependent mechanical properties of ligaments cannot be ignored.…”

Section: Besidesmentioning

confidence: 99%

Theoretical and Numerical Analysis of Anterior Cruciate Ligament Injury and its Prevention

Yang¹

2020

GJRE

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Anterior cruciate ligament (ACL) injury is one of major risks for most athletes. ACL injury can be caused by many risk factors such as anatomic risk factors, biomechanical risk factors and environmental risk factors. In this article, numerical and theoretical analysis is conducted to investigate biomechanical risk factors. An entire threedimensional finite element knee model is built based on MRI data. Anterior Tibial Translations (ATT) at different knee flexion angles are simulated by finite element models. In the simulations, more attention is given to material properties of different knee components and their effects on ACL injury. Mechanical response of ACL during sport activities is highly determined by its viscoelastic properties. Unfortunately, viscoelastic properties of two bundles of ACL will change dramatically even with several hours' physical aging. As a consequence, ACL will experience mechanical ductile to brittle transition due to daily physical aging. Theory of physical aging from polymer science is, for the first time, introduced to understand ACL injury and its prevention. By analogy to physical aging of amorphous polymer materials, we think physical aging of two bundles of ACL will largely increase risk of ACL injury. Besides, physical aging will also build a heterogeneous stress and strain in ACL due to its natural anatomic structure, which is a large risk for athletes. The specific designed prevention programs for ACL injury such as plyometrics, strengthening and other neuromuscular training exercises [1] are believed to erase physical aging of ACL. ACL with less physical aging is less likely to get injured in sport activities. In this article, a virtual physical aging simulation is built to validate current hypothesis. Erasing physical aging of ACL may provide an accurate and quantitative way to prevent ACL injury.lobal Journal of Researches in Engineering ( ) Volume Xx X Issue I Ve rsion I 43Year 2020 J Gl risks for most athletes. ACL injury can be caused by many risk factors such as anatomic risk factors, biomechanical risk factors and environmental risk factors. In this article, numerical and theoretical analysis is conducted to investigate biomechanical risk factors. An entire three-dimensional finite element knee model is built based on MRI data. Anterior Tibial Translations (ATT) at different knee flexion angles are simulated by finite element models. In the simulations, more attention is given to material properties of different knee components and their effects on ACL injury. Mechanical response of ACL during sport activities is highly determined by its viscoelastic properties. Unfortunately, viscoelastic properties of two bundles of ACL will change dramatically even with several hours' physical aging. As a consequence, ACL will experience mechanical ductile to brittle transition due to daily physical aging. Theory of physical aging from polymer science is, for the first time, introduced to understand ACL injury and its prevention. By analogy to physical aging of amorphous polymer ma...

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Evaluating continuum level descriptions of the medial collateral ligament

Cited by 7 publications

References 129 publications

Femoral entheseal shape and attachment angle as potential risk factors for anterior cruciate ligament injury

Femoral entheseal shape and attachment angle as potential risk factors for anterior cruciate ligament injury

A comprehensive study of the mathematical methods used to approximate the inverse Langevin function

Theoretical and Numerical Analysis of Anterior Cruciate Ligament Injury and its Prevention

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