Updated Lagrangian finite element formulations of various biological soft tissue non-linear material models: a comprehensive procedure and review

Molly T. Townsend, Nesrin Sarigul-Klijn

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Simplified material models are commonly used in computational simulation of biological soft tissue as an approximation of the complicated material response and to minimize computational resources. However, the simulation of complex loadings, such as long-duration tissue swelling, necessitates complex models that are not easy to formulate. This paper strives to offer the updated Lagrangian formulation comprehensive procedure of various non-linear material models for the application of finite element analysis of biological soft tissues including a definition of the Cauchy stress and the spatial tangential stiffness. The relationships between water content, osmotic pressure, ionic concentration and the pore pressure stress of the tissue are discussed with the merits of these models and their applications.

Original languageEnglish (US)
Pages (from-to)1137-1142
Number of pages6
JournalComputer Methods in Biomechanics and Biomedical Engineering
Volume19
Issue number11
DOIs
StatePublished - Aug 17 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Bioengineering
  • Biomedical Engineering
  • Human-Computer Interaction
  • Computer Science Applications

Keywords

  • Biological soft tissue
  • multiphasic
  • pore pressure
  • poro-hyperelastic non-linear material model
  • updated Lagrangian finite element formulation

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