Boundary element simulation of bone tissue

Duarte, Vannessa; González, Y.; Cerrolaza, M.

doi:10.1504/ijbet.2011.039199

Cited by 5 publications

(2 citation statements)

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“…The generalized displacement vector contains the displacements and the electric potential . Using effective coefficients (elastic coefficients , piezoelectric coefficients , and dielectric coefficients ) and average state values (stress Cauchy tensor , strain tensor , electrical displacements , and electric fields ), the constitutive equations for homogeneous material can be expressed as [12][13][14] = − ,…”

Section: Boundary Element Formulationmentioning

confidence: 99%

“…These properties are changed according to the density for each element in the geometry. The fundamental solutions are calculated numerically using the Radon Transformation [14,17,20]. Finally, the density can be computed from the stress energy density at every point in the geometry and all values in the system can be updated, until the end of the simulation time T sim .…”

Section: Algorithm For Piezoelectric Bonementioning

confidence: 99%

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A Simplified Scheme for Piezoelectric Anisotropic Analysis in Human Vertebrae Using Integral Methods

Duarte

Thoeni

Garzón‐Alvarado

et al. 2018

Mathematical Problems in Engineering

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This paper outlines a computational model for the analysis of the piezoelectric behaviour of the vertebral body remodelling process. Particular attention is paid to the algorithms for the simulation of the stress energy density for each point of the geometry and the distribution of the density in the bone. In addition, the model takes into account the piezoelectric effect and the anisotropy (transversal isotropy) of the bone. A model for internal anisotropic piezoelectric bone remodelling of a human vertebra is discussed in detail. The model consists of the implementation of an algorithm which includes the elastic and electric variables in a single equation using boundary element method. The presented results show a good agreement with biological data and the model does not include any electric additional charge.

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Section: Boundary Element Formulationmentioning

confidence: 99%

Section: Algorithm For Piezoelectric Bonementioning

confidence: 99%