Visco-hyperelastic constitutive modeling of soft tissues based on short and long-term internal variables

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dc.contributor.authorAhsanizadeh, Sahand
dc.contributor.authorLi, LePing
dc.date.accessioned2015-05-13T22:42:37Z
dc.date.available2015-05-13T22:42:37Z
dc.date.issued2015-03-30
dc.descriptionPublisher version of article deposited according to publisher policy posted on BioMed Central, May 13, 2015. http://www.biomedcentral.com/authors/licenseen_US
dc.description.abstractBackground Differential-type and integral-type formulations are two common approaches in modeling viscoelastic materials. A differential-type theory is often derived from a Helmholtz free energy function and is usually more suitable for the prediction of strain-rate dependent mechanical behavior during rapid loading, while an integral-type theory usually captures stress relaxation more efficiently than a differential-type theory. A modeling approach is needed to predict the viscoelastic responses during both rapid loading and relaxation phases. Methods A constitutive modeling methodology based on the short and long-term internal variables was proposed in the present study in order to fully use the better features of the two types of theories. The short-term variables described the loading rate, while the long-term variables involving time constants characterized loading history and stress relaxation. Results The application of the methodology was demonstrated with particular formulations for ligament and articular cartilage. Model parameters were calibrated for both tissues with experimental data from the literature. It was found that the proposed model could well predict a wide range of strain-rate dependent load responses during both loading and relaxation phases. Conclusion Introducing different internal variables in terms of their time scales reduced the difficulties in the material characterization process and enabled the model to predict the experimental data more accurately, in particular at high strain-rates.en_US
dc.description.sponsorshipFunding provided by the Open Access Authors Fund.en_US
dc.identifier.citationAhsanizadeh, S., & Li, L. (2015). Visco-hyperelastic constitutive modeling of soft tissues based on short and long-term internal variables. Biomedical Engineering Online, 14(1), 29. http://doi.org/10.1186/s12938-015-0023-7en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/30177
dc.identifier.urihttp://hdl.handle.net/1880/50428
dc.language.isoenen_US
dc.publisherBioMedical Engineering OnLineen_US
dc.publisher.corporateUniversity of Calgaryen_US
dc.publisher.departmentMechanical and Manufacturing Engineeringen_US
dc.publisher.facultySchulich School of Engineeringen_US
dc.publisher.institutionUniversity of Calgaryen_US
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectArticular cartilageen_US
dc.subjectConstitutive modelingen_US
dc.subjectLigamenten_US
dc.subjectStrain-rate sensitivityen_US
dc.subjectViscoelasticityen_US
dc.titleVisco-hyperelastic constitutive modeling of soft tissues based on short and long-term internal variablesen_US
dc.typejournal article
thesis.degree.disciplineMechanical and Manufacturing Engineeringen_US
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