Abstract:
:A new strain energy function for the hyperelastic modelling of ligaments and tendons based on the geometrical arrangement of their fibrils is derived. The distribution of the crimp angles of the fibrils is used to determine the stress-strain response of a single fascicle, and this stress-strain response is used to determine the form of the strain energy function, the parameters of which can all potentially be directly measured via experiments - unlike those of commonly used strain energy functions such as the Holzapfel-Gasser-Ogden (HGO) model, whose parameters are phenomenological. We compare the new model with the HGO model and show that the new model gives a better match to existing stress-strain data for human patellar tendon than the HGO model, with the average relative error in matching this data when using the new model being 0.053 (compared with 0.57 when using the HGO model), and the average absolute error when using the new model being 0.12 MPa (compared with 0.31 MPa when using the HGO model).
journal_name
J Biomechjournal_title
Journal of biomechanicsauthors
Shearer Tdoi
10.1016/j.jbiomech.2014.11.031subject
Has Abstractpub_date
2015-01-21 00:00:00pages
290-7issue
2eissn
0021-9290issn
1873-2380pii
S0021-9290(14)00619-8journal_volume
48pub_type
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