title: Updated Lagrangian finite element formulations of various biological soft tissue non-linear material models: a comprehensive procedure and review.
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.
authors.affiliation: a Biomedical Engineering Department , University of California , Davis , CA , USA.
authors.forename: Molly T
authors.initials: MT
authors.lastname: Townsend
authors.affiliation: a Biomedical Engineering Department , University of California , Davis , CA , USA.|b Mechanical and Aerospace Engineering Department , University of California , Davis , CA , USA.
authors.forename: Nesrin
authors.initials: N
authors.lastname: Sarigul-Klijn
mesh_terms: D003198:Computer Simulation; D004563:Electrochemistry; D020342:Finite Element Analysis; D008954:Models, Biological; D017711:Nonlinear Dynamics; D009928:Organ Specificity; D009997:Osmotic Pressure; D016062:Porosity; D014867:Water
chemical_list: D014867:Water
keywords: Biological soft tissue; multiphasic; pore pressure; poro-hyperelastic non-linear material model; updated Lagrangian finite element formulation