Application of poroelastic boundary element method for biomechanic analysis


Abstract:

Boundary element method was first applied to problems of steady-state axisymmetric thermoelasticity by Cruse et al. The thermoelastic 3D formulation is now written using cylindrical co-ordinate system and they are provided as a function of the complete elliptic integrals of first a second order. Emphasis should be placed on the numerical treatment of the kernels in singular cases. This work shows the axisymmetric fundamental solutions implementation for steady-state poroelastic problems in a lineal-elastic, isotropic and non-homogeneous media, following Biot's consolidation theory. The analytical kernels and their asymptotic behavior were taken from Boundary element method quasiestatic axisymmetric thermoelastic approach, summarizing the strong analogy between uncoupled termoelasticity and poroelasticity. The kernels were implemented into a multi-zone, thermoelastic axisymmetric, stationary-spatial boundary element framework. Some numerical examples are provided to illustrate the validity of the implementation, including a differentiation callus tissue problem during bone healing process. The results were in good agreement with those reported in previous works.

Año de publicación:

2008

Keywords:

  • Bone healing
  • Boundary Element Method
  • poroelasticity
  • Thermoelasticity

Fuente:

scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

    Áreas temáticas:

    • Fisiología humana