A nonlinear poroelastic model for the periodontal ligament

Marco Favino; Christoph Bourauel; Rolf Krause

doi:10.1080/15502287.2015.1082677

A nonlinear poroelastic model for the periodontal ligament

Marco Favino^*, Christoph Bourauel, Rolf Krause

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

ABSTRACT: A coupled elastic-poroelastic model for the simulation of the PDL and the adjacent tooth is presented. A poroelastic constitutive material model for the periodontal ligament (PDL) is derived. The solid phase is modeled by means of a Fung material law, accounting for large displacements and strains. Numerical solutions are performed by means of a multigrid Newton method to solve the arising large nonlinear system. Finally, by means of numerical experiments, the biomechanical response of the PDL is studied. In particular, the effect of the hydraulic conductivity and of the mechanical parameters of a Fung potential is investigated in two realistic applications.

Original language	English (US)
Pages (from-to)	172-181
Number of pages	10
Journal	International Journal for Computational Methods in Engineering Science and Mechanics
Volume	17
Issue number	3
DOIs	https://doi.org/10.1080/15502287.2015.1082677
State	Published - May 3 2016

Bibliographical note

Publisher Copyright:
© 2016 Taylor & Francis Group, LLC.

Keywords

Periodontal ligament; Porous medium; Poroelastic model; non-linear mechanics; coupled model; saddle; point problems

ASJC Scopus subject areas

Computational Mechanics
Computational Mathematics

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10.1080/15502287.2015.1082677

Cite this

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title = "A nonlinear poroelastic model for the periodontal ligament",

abstract = "ABSTRACT: A coupled elastic-poroelastic model for the simulation of the PDL and the adjacent tooth is presented. A poroelastic constitutive material model for the periodontal ligament (PDL) is derived. The solid phase is modeled by means of a Fung material law, accounting for large displacements and strains. Numerical solutions are performed by means of a multigrid Newton method to solve the arising large nonlinear system. Finally, by means of numerical experiments, the biomechanical response of the PDL is studied. In particular, the effect of the hydraulic conductivity and of the mechanical parameters of a Fung potential is investigated in two realistic applications.",

keywords = "Periodontal ligament; Porous medium; Poroelastic model; non-linear mechanics; coupled model; saddle; point problems",

author = "Marco Favino and Christoph Bourauel and Rolf Krause",

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doi = "10.1080/15502287.2015.1082677",

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T1 - A nonlinear poroelastic model for the periodontal ligament

AU - Favino, Marco

AU - Bourauel, Christoph

AU - Krause, Rolf

PY - 2016/5/3

Y1 - 2016/5/3

N2 - ABSTRACT: A coupled elastic-poroelastic model for the simulation of the PDL and the adjacent tooth is presented. A poroelastic constitutive material model for the periodontal ligament (PDL) is derived. The solid phase is modeled by means of a Fung material law, accounting for large displacements and strains. Numerical solutions are performed by means of a multigrid Newton method to solve the arising large nonlinear system. Finally, by means of numerical experiments, the biomechanical response of the PDL is studied. In particular, the effect of the hydraulic conductivity and of the mechanical parameters of a Fung potential is investigated in two realistic applications.

AB - ABSTRACT: A coupled elastic-poroelastic model for the simulation of the PDL and the adjacent tooth is presented. A poroelastic constitutive material model for the periodontal ligament (PDL) is derived. The solid phase is modeled by means of a Fung material law, accounting for large displacements and strains. Numerical solutions are performed by means of a multigrid Newton method to solve the arising large nonlinear system. Finally, by means of numerical experiments, the biomechanical response of the PDL is studied. In particular, the effect of the hydraulic conductivity and of the mechanical parameters of a Fung potential is investigated in two realistic applications.

KW - Periodontal ligament; Porous medium; Poroelastic model; non-linear mechanics; coupled model; saddle; point problems

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DO - 10.1080/15502287.2015.1082677

M3 - Article

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SN - 1550-2287

VL - 17

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EP - 181

JO - International Journal for Computational Methods in Engineering Science and Mechanics

JF - International Journal for Computational Methods in Engineering Science and Mechanics

IS - 3

ER -

A nonlinear poroelastic model for the periodontal ligament

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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