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Determination and Finite Element Validation of the WYPIWYG Strain Energy of Superficial Fascia from Experimental Data

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Abstract

What-You-Prescribe-Is-What-You-Get (WYPIWYG) procedures are a novel and general phenomenological approach to modelling the behavior of soft materials, applicable to biological tissues in particular. For the hyperelastic case, these procedures solve numerically the nonlinear elastic material determination problem. In this paper we show that they can be applied to determine the stored energy density of superficial fascia. In contrast to the usual approach, in such determination no user-prescribed material parameters and no optimization algorithms are employed. The strain energy densities are computed solving the equilibrium equations of the set of experiments. For the case of superficial fascia it is shown that the mechanical behavior derived from such strain energies is capable of reproducing simultaneously the measured load-displacement curves of three experiments to a high accuracy.

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Acknowledgments

Partial financial support for this work has been given by Grants DPI2015-69801-R and DPI2013-44391-P from the Dirección General de Proyectos de Investigación of the Ministerio de Economía y Competitividad of Spain. F.J. Montáns also acknowledges the support of the Department of Mechanical and Aerospace Engineering of University of Florida during the sabbatical period in which this paper was finished, and Ministerio de Educación Cultura y Deporte of Spain for the financial support for that stay under Grant PRX15/00065. The ADINA program license used for this work has been a courtesy of ADINA R&D to the Universidad Politécnica de Madrid.

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Authors and Affiliations

  1. Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros, 3, 28040, Madrid, Spain

    Marcos Latorre & Francisco J. Montáns

  2. Aragón Institute of Engineering Research (I3A), Mechanical Engineering Department, University of Zaragoza, Zaragoza, Spain

    Estefanía Peña

  3. CIBER de Bioingeniera, Biomateriales y Nanomedicina (CIBER-BBN), Zaragoza, Spain

    Estefanía Peña

Authors
  1. Marcos Latorre
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  2. Estefanía Peña
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  3. Francisco J. Montáns
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Corresponding author

Correspondence to Francisco J. Montáns.

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Communicated by Eiji Tanaka.

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Latorre, M., Peña, E. & Montáns, F.J. Determination and Finite Element Validation of the WYPIWYG Strain Energy of Superficial Fascia from Experimental Data. Ann Biomed Eng 45, 799–810 (2017). https://doi.org/10.1007/s10439-016-1723-2

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  • DOI: https://doi.org/10.1007/s10439-016-1723-2

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