Numerical modeling of the indentation of cancellous bone

Eremina, Galina M.; Smolin, A. Yu.; Shilko, Evgeny V.

doi:10.1063/1.5131957

Cited by 7 publications

(4 citation statements)

References 20 publications

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“…Herein, to describe the strength properties of the sold skeleton of the bone tissues, we used the model of elastic-brittle medium with von Mises' criterion of fracture. Previously, the verification and validation of poroelastic models of tissues of the femur and tibia based on the MCA method were carried out by Shilko et al (2021), Eremina et al (2019), andChirkov et al (2020).…”

Section: Methods Of Movable Cellular Automatamentioning

confidence: 99%

Convergence analysis and validation of a discrete element model of the human lumbar spine

2022

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Degenerative diseases of the spine can lead to or hasten the onset of additional spinal problems that significantly reduce human mobility. The spine consists of vertebral bodies and intervertebral discs. The most degraded are intervertebral discs. The vertebral body consists of a shell (cortical bone tissue) and an internal content (cancellous bone tissue). The intervertebral disc is a complex structural element of the spine, consisting of the nucleus pulposus, annulus fibrosus, and cartilaginous plates. To develop numerical models for the vertebral body and intervertebral disc, first, it is necessary to verify and validate the models for the constituent elements of the lumbar spine. This paper, for the first time, presents discrete elements-based numerical models for the constituent parts of the lumbar spine, and their verification and validation. The models are validated using uniaxial compression experiments available in the literature. The model predictions are in good qualitative and quantitative agreement with the data of those experiments. The loading rate sensitivity analysis revealed that fluid-saturated porous materials are highly sensitive to loading rate: a 1000-fold increase in rate leads to the increase in effective stiffness of 130 % for the intervertebral disc, and a 250-fold increase in rate leads to the increase in effective stiffness of 50 % for the vertebral body. The developed model components can be used to create an L4-L5 segment model, which, in the future, will allow investigating the mechanical behavior of the spine under different types of loading.

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Section: Methods Of Movable Cellular Automatamentioning

confidence: 99%

Convergence analysis and validation of a discrete element model of the human lumbar spine

2022

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“…A three-dimensional version of the method has been implemented in the in-house code MCA3D, which is written in C++ programming language and utilizes Qt library for the pre-and post-processing stages. This code was used in many papers of the authors and their colleagues, in particular, the verification and validation of poroelastic models of tissues of the femur and tibia, based on the MCA method, were carried out in [36][37][38]. A free code for the MCA method solver is also available as a part of the LIGGGHTS package [39]; however, it now provides a reduced functionality for elastic-plastic materials only.…”

Section: Methods Of Movable Cellular Automatamentioning

confidence: 99%

“…The validation of the used poroelastic models of materials for the bone tissues of the knee joint was performed and published in the authors' previous papers [36,37,44].…”

Section: Model Validationmentioning

confidence: 99%

Numerical Modeling of Shockwave Treatment of Knee Joint

Eremina¹,

Smolin²

2021

Materials

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Arthritis is a degenerative disease that primarily affects the cartilage and meniscus of the knee joint. External acoustic stimulation is used to treat this disease. This article presents a numerical model of the knee joint aimed at the computer-aided study of the regenerative effects of shockwave treatment. The presented model was verified and validated. A numerical analysis of the conditions for the regeneration of the tissues of the knee joint under shockwave action was conducted. The results allow us to conclude that to obtain the conditions required for the regeneration of cartilage tissues and meniscus (compressive stresses above the threshold value of 0.15 MPa to start the process of chondrogenesis; distortional strains above the threshold value of 0.05% characterized by the beginning of the differentiation of the tissues in large volumes; fluid pressure corresponding to the optimal level of 68 kPa to transfer tissue cells in large volumes), the energy flux density of therapeutic shockwave loading should exceed 0.3 mJ/mm2.

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“…Here we describe a numerical model of the mechanical behavior of fluid-saturated cancellous tissue during indentation used for validation of the developed model of fluid-saturated bone tissues [70].…”

Section: Validation Of the Materials Modelmentioning

confidence: 99%

A Tool for Studying the Mechanical Behavior of the Bone–Endoprosthesis System Based on Multi-scale Simulation

Smolin

Eremina

Shilko

2020

Springer Tracts in Mechanical Engineering

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The chapter presents recent advances in developing numerical models for multiscale simulation of the femur–endoprosthesis system for the case of hip resurfacing arthroplasty. The models are based on the movable cellular automaton method, which is a representative of the discrete element approach in solid mechanics and allows correctly simulating mechanical behavior of a variety of elastoplastic materials including fracture and mass mixing. At the lowest scale, the model describes sliding friction between two rough surfaces of TiN coatings, which correspond to different parts of the friction pair of hip resurfacing endoprosthesis. At this scale, such parameters of the contacting surfaces as the thickness, roughness, and mechanical properties are considered explicitly. The next scale of the model corresponds to a resurfacing cap for the femur head rotating in the artificial acetabulum insert. Here, sliding friction is explicitly computed based on the effective coefficient of friction obtained at the previous scale. At the macroscale, the proximal part of the femur with a resurfacing cap is simulated at different loads. The bone is considered as a composite consisting of outer cortical and inner cancellous tissues, which are simulated within two approaches: the first implies their linear elastic behavior, the second considers these tissues as Boit’s poroelastic bodies. The later allows revealing the role of the interstitial biological fluid in the mechanical behavior of the bone. Based on the analysis of the obtained results, the plan for future works is proposed.

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Numerical modeling of the indentation of cancellous bone

Cited by 7 publications

References 20 publications

Convergence analysis and validation of a discrete element model of the human lumbar spine

Convergence analysis and validation of a discrete element model of the human lumbar spine

Numerical Modeling of Shockwave Treatment of Knee Joint

A Tool for Studying the Mechanical Behavior of the Bone–Endoprosthesis System Based on Multi-scale Simulation

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