Determination and Finite Element Validation of the WYPIWYG Strain Energy of Superficial Fascia from Experimental Data.
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.
Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros, 3, 28040, Madrid, Spain.
Marcos
M
Latorre
Aragón Institute of Engineering Research (I3A), Mechanical Engineering Department, University of Zaragoza, Zaragoza, Spain.|CIBER de Bioingeniera, Biomateriales y Nanomedicina (CIBER-BBN), Zaragoza, Spain.
Estefanía
E
Peña
Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros, 3, 28040, Madrid, Spain. fco.montans@upm.es.
Francisco J
FJ
Montáns
D000818:Animals; D020342:Finite Element Analysis; D008954:Models, Biological; D012756:Sheep; D040521:Subcutaneous Tissue; D016474:Weight-Bearing
Biological tissues; Hyperelasticity; Orthotropy; WYPIWYG hyperelasticity