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On the Rule of Mixtures for Predicting Stress-Softening and Residual Strain Effects in Biological Tissues and Biocompatible Materials

In this work, we use the rule of mixtures to develop an equivalent material model in which the total strain energy density is split into the isotropic part related to the matrix component and the anisotropic energy contribution related to the fiber effects. For the isotropic energy part, we select the amended non-Gaussian strain energy density model, while the energy fiber effects are added by considering the equivalent anisotropic volumetric fraction contribution, as well as the isotropized representation form of the eight-chain energy model that accounts for the material anisotropic effects. Furthermore, our proposed material model uses a phenomenological non-monotonous softening function that predicts stress softening effects and has an energy term, derived from the pseudo-elasticity theory, that accounts for residual strain deformations. The model’s theoretical predictions are compared with experimental data collected from human vaginal tissues, mice skin, poly(glycolide-co-caprolactone) (PGC25 3-0) and polypropylene suture materials and tracheal and brain human tissues. In all cases examined here, our equivalent material model closely follows stress-softening and residual strain effects exhibited by experimental data

Materials, 2014, vol. 7, núm.1, p. 441-456

MDPI (Multidisciplinary Digital Publishing Institute)

Author: Elías-Zúñiga, Alex
Baylon, Karen
Ferrer Real, Inés
Serenó, Lídia
Garcia-Romeu, Maria Luisa
Bagudanch Frigolé, Isabel
Grabalosa Saubí, Jordi
Perez Recio, Tania
Martínez-Romero, Oscar
Ortega-Lara, Wendy
Date: 2014
Abstract: In this work, we use the rule of mixtures to develop an equivalent material model in which the total strain energy density is split into the isotropic part related to the matrix component and the anisotropic energy contribution related to the fiber effects. For the isotropic energy part, we select the amended non-Gaussian strain energy density model, while the energy fiber effects are added by considering the equivalent anisotropic volumetric fraction contribution, as well as the isotropized representation form of the eight-chain energy model that accounts for the material anisotropic effects. Furthermore, our proposed material model uses a phenomenological non-monotonous softening function that predicts stress softening effects and has an energy term, derived from the pseudo-elasticity theory, that accounts for residual strain deformations. The model’s theoretical predictions are compared with experimental data collected from human vaginal tissues, mice skin, poly(glycolide-co-caprolactone) (PGC25 3-0) and polypropylene suture materials and tracheal and brain human tissues. In all cases examined here, our equivalent material model closely follows stress-softening and residual strain effects exhibited by experimental data
Format: application/pdf
Citation: 019196
ISSN: 1996-1944
Document access: http://hdl.handle.net/10256/10189
Language: eng
Publisher: MDPI (Multidisciplinary Digital Publishing Institute)
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.3390/ma7010441
Articles publicats (D-EMCI)
info:eu-repo/grantAgreement/EC/FP7/247476
Is part of: Materials, 2014, vol. 7, núm.1, p. 441-456
Rights: Attribution 3.0 Spain
Rights URI: http://creativecommons.org/licenses/by/3.0/es/
Subject: Materials biomèdics -- Biocompatibilitat
Biomedical materials -- Biocompatibility
Title: On the Rule of Mixtures for Predicting Stress-Softening and Residual Strain Effects in Biological Tissues and Biocompatible Materials
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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