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Modeling Large-deformation-induced Microflow in Soft Biological Tissues

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Abstract

The homogenization approach to multiscale modeling of soft biological tissues is presented. The homogenized model describes the relationship between the macroscopic hereditary creep behavior and the microflow in a fluid-saturated dual-porous medium at the microscopic level. The micromodel is based on Biot’s system for quasistatic deformation processes, modified for the updated Lagrangian formulation to account for coupling the fluid diffusion through a porous solid undergoing large deformation. Its microstructure is constituted by fluid-filled inclusions embedded in the porous matrix. The tangential stiffness coefficients and the retardation stress for the macromodel are derived for a time-stepping algorithm. Numerical examples are discussed, showing the strong potential of the model for simulations of deformation-driven physiological processes at the microscopic scale.

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Authors and Affiliations

  1. Department of Mechanics and New Technologies Research Centre, University of West Bohemia, Univerzitní 22, 306 14, Plzeň, Czech Republic

    Eduard Rohan

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  1. Eduard Rohan
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Correspondence to Eduard Rohan.

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Communicated by O.E. Jensen and J. Malek

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Rohan, E. Modeling Large-deformation-induced Microflow in Soft Biological Tissues. Theor. Comput. Fluid Dyn. 20, 251–276 (2006). https://doi.org/10.1007/s00162-006-0020-3

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  • DOI: https://doi.org/10.1007/s00162-006-0020-3

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