A study of the viscoelastic effect in a bone remodeling model

Baïotto, Sébastien; Zidi, M.

doi:10.1007/s10237-008-0123-4

Cited by 5 publications

(3 citation statements)

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“…Most of the bone remodeling models considered the bone as a linear elastic material (Cowin, 1993) or a poroelastic material (Lekszycki & dell'Isola, 2012) (Giorgio et al 2020), and didn't take the inertia into consideration. Only a few studies took viscosity into account and examined the effect of viscosity on remodeling process (Allena et al 2023) (Baïotto & Zidi, 2008) (Kumar et al, 2012). The stimuli used by these models were time dependent, periodic fluctuations in the loading were also recorded.…”

Section: Introductionmentioning

confidence: 99%

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Frequency dependent model for bone remodeling stimulated by harmonic mechanical loading

2023

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In this paper, the bone tissue was modeled as a linear viscoelastic material saturated with interstitial fluid. We considered a specific case of harmonic loading and related the mechanical stimuli to the loading frequency. In this way, we could include the inertial effect in the model while not having to deal with the perturbation during each loading period. Two types of mechanical signals were considered: strain energy and dissipation energy. A parametric study revealed the dependency of the two signals on loading frequency and material property. The evolution of the apparent mass density supported the parametric study's findings. Under the three different frequency loadings, the strain energy-stimulated samples experienced identical remodeling scenarios. The samples stimulated with dissipation energy, on the other hand, exhibited a strong frequency dependence. An additional study was performed to investigate the effect of long-term variations in the loading frequency on the remodeling process. This demonstrated the model's capabilities in designing and evaluating load regimes for rehabilitation following a bone injury or bone reconstruction.

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Section: Introductionmentioning

confidence: 99%

“…Bone appears to be viscoelastic due to the interstitial fluid flow and the inherent viscoelasticity of the solid matrix (Baïotto & Zidi, 2008). Bone is a hierarchical composite (Giorgio et al 2021).…”

Section: Introductionmentioning

confidence: 99%

Frequency dependent model for bone remodeling stimulated by harmonic mechanical loading

2023

Preprint

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“…Bone adaptation in the model is related to a mechanical stimulus derived from the dissipation energy of the poroelastic flow induced by deformation. Baïotto and Zidi (2009) propose a model of bone remodeling which take viscosity properties of the tissue into account. They employed Zener's law to describe the mechanical behavior of the bone and proposed a specific law of the apparent bone density rate.…”

Section: Introductionmentioning

confidence: 99%

A visco-poroelastic model of functional adaptation in bones reconstructed with bio-resorbable materials

Giorgio

Andreaus

Scerrato

et al. 2016

Biomech Model Mechanobiol

102

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In this paper, the phenomena of resorption and growth of bone tissue and resorption of the biomaterial inside a bicomponent system are studied by means of a numerical method based on finite elements. The material behavior is described by a poro-viscoelastic model with infiltrated voids. The mechanical stimulus that drives these processes is a linear combination of density of strain energy and viscous dissipation. The external excitation is represented by a bending load slowly variable with sinusoidal law characterized by different frequencies. Investigated aspects are the influence of the load frequency, of type of the stimulus and of the effective porosity on the time evolution of the mass densities of considered system.

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