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Anisotropic damage model for collagenous tissues and its application to model fracture and needle insertion mechanics

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Abstract

The analysis of tissue mechanics in biomedical applications demands nonlinear constitutive models able to capture the energy dissipation mechanisms, such as damage, that occur during tissue deformation. Furthermore, implementation of sophisticated material models in finite element models is essential to improve medical devices and diagnostic tools. Building on previous work toward microstructure-driven models of collagenous tissue, here we show a constitutive model based on fiber orientation and waviness distributions for skin that captures not only the anisotropic strain-stiffening response of this and other collagen-based tissues, but, additionally, accounts for tissue damage directly as a function of changes in the microstructure, in particular changes in the fiber waviness distribution. The implementation of this nonlinear constitutive model as a user subroutine in the popular finite element package Abaqus enables large-scale finite element simulations for biomedical applications. We showcase the performance of the model in fracture simulations during pure shear tests, as well as simulations of needle insertion into skin relevant to auto-injector design.

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Data and code sharing

The codes associated with this publication are available at https://github.com/abuganza/UMAT_anisotropic_damage under the GNU license.

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Acknowledgements

This work was supported by a Grant from Eli Lilly and company.

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Authors and Affiliations

  1. School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA

    John D. Toaquiza Tubon, Omar Moreno-Flores, Vivek D. Sree & Adrian B. Tepole

  2. Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA

    Adrian B. Tepole

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  1. John D. Toaquiza Tubon
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  2. Omar Moreno-Flores
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  3. Vivek D. Sree
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  4. Adrian B. Tepole
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Correspondence to Adrian B. Tepole.

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Toaquiza Tubon, J.D., Moreno-Flores, O., Sree, V.D. et al. Anisotropic damage model for collagenous tissues and its application to model fracture and needle insertion mechanics. Biomech Model Mechanobiol 21, 1–16 (2022). https://doi.org/10.1007/s10237-022-01624-y

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