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Modeling Soft Tissue Damage and Failure Using a Combined Particle/Continuum Approach

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Abstract

Biological soft tissues experience damage and failure as a result of injury, disease, or simply age; examples include torn ligaments and arterial dissections. Given the complexity of tissue geometry and material behavior, computational models are often essential for studying both damage and failure. Yet, because of the need to account for discontinuous phenomena such as crazing, tearing, and rupturing, continuum methods are limited. Therefore, we model soft tissue damage and failure using a particle/continuum approach. Specifically, we combine continuum damage theory with Smoothed Particle Hydrodynamics (SPH). Because SPH is a meshless particle method, and particle connectivity is determined solely through a neighbor list, discontinuities can be readily modeled by modifying this list. We show, for the first time, that an anisotropic hyperelastic constitutive model commonly employed for modeling soft tissue can be conveniently implemented within a SPH framework and that SPH results show excellent agreement with analytical solutions for uniaxial and biaxial extension as well as finite element solutions for clamped uniaxial extension in 2D and 3D. We further develop a simple algorithm that automatically detects damaged particles and disconnects the spatial domain along rupture lines in 2D and rupture surfaces in 3D. We demonstrate the utility of this approach by simulating damage and failure under clamped uniaxial extension and in a peeling experiment of virtual soft tissue samples. In conclusion, SPH in combination with continuum damage theory may provide an accurate and efficient framework for modeling damage and failure in soft tissues.

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Acknowledgments

This research was supported, in parts, by NIH Grants R01 HL086418, U01 HL116323, and T32 HL007974.

Conflict of interest

The authors declare that they have no conflict of interest.

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Authors and Affiliations

  1. Department of Biomedical Engineering, Yale University, 55 Prospect Street, New Haven, CT, 06511, USA

    M. K. Rausch & J. D. Humphrey

  2. Division of Applied Mathematics, Brown University, 170 Hope Street, Providence, RI, 02912, USA

    G. E. Karniadakis

Authors
  1. M. K. Rausch
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  2. G. E. Karniadakis
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  3. J. D. Humphrey
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Correspondence to M. K. Rausch.

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Rausch, M.K., Karniadakis, G.E. & Humphrey, J.D. Modeling Soft Tissue Damage and Failure Using a Combined Particle/Continuum Approach. Biomech Model Mechanobiol 16, 249–261 (2017). https://doi.org/10.1007/s10237-016-0814-1

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  • DOI: https://doi.org/10.1007/s10237-016-0814-1

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