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Publikācija: A Transversally Isotropic Hyperelastic Constitutive Model of the PDL. Analytical and Computational Aspects

Publication Type Scientific article indexed in SCOPUS or WOS database
Funding for basic activity Unknown
Defending: ,
Publication language English (en)
Title in original language A Transversally Isotropic Hyperelastic Constitutive Model of the PDL. Analytical and Computational Aspects
Field of research 2. Engineering and technology
Sub-field of research 2.6 Medical engineering
Authors Ivars Knēts
Modris Dobelis
Jānis Laizāns
John Middleton
Georges Limbert
Keywords Hyperelasticity, Anisotropy, Elasticity Tensor, Soft Tissue, PDL, Finite Element
Abstract This study describes the development of a constitutive law for the modelling of the periodontal ligament (PDL) and its practical implementation into a commercial finite element code. The constitutive equations encompass the essential mechanical features of this biological soft tissue: non-linear behaviour, large deformations, anisotropy, distinct behaviour in tension and compression and the fibrous characteristics. The approach is based on the theory of continuum fibre-reinforced composites at finite strain where a compressible transversely isotropic hyperelastic strain energy function is defined. This strain energy density function is further split into volumetric and deviatoric contributions separating the bulk and shear responses of the material. Explicit expressions of the stress tensors in the material and spatial configurations are first established followed by original expressions of the elasticity tensors in the material and spatial configurations. As a simple application of the constitutive model, two finite element analyses simulating the mechanical behaviour of the PDL are performed. The results highlight the significance of integrating the fibrous architecture of the PDL as this feature is shown to be responsible for the complex strain distribution observed.
DOI: 10.1080/10255840310001637572
Hyperlink: http://www.tandfonline.com/doi/full/10.1080/10255840310001637572#.Uywmi7eKC1s 
Reference Knēts, I., Dobelis, M., Laizāns, J., Middleton, J., Limbert, G. A Transversally Isotropic Hyperelastic Constitutive Model of the PDL. Analytical and Computational Aspects. Computer Methods in Biomechanics and Biomedical Engineering, 2003, Vol.6, Iss.5-6, pp.337-345. ISSN 1025-5842. e-ISSN 1476-8259. Available from: doi:10.1080/10255840310001637572
Additional information Citation count:
ID 3604