Updated Lagrangian finite element formulations of: a comprehensive procedure and review

Molly T. Townsend and Nesrin Sarigul-Klijn

Computer Methods in Biomechanics and Biomedical Engineering, 2016, vol. 19, issue 11, 1137-1142

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.

Date: 2016
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DOI: 10.1080/10255842.2015.1111343

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