Comput Methods Programs Biomed - Physical modeling with orthotropic material based on harmonic fields.


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Although it is well known that human bone tissues have obvious orthotropic material properties, most works in the physical modeling field adopted oversimplified isotropic or approximated transversely isotropic elasticity due to the simplicity. This paper presents a convenient methodology based on harmonic fields, to construct volumetric finite element mesh integrated with complete orthotropic material. The basic idea is taking advantage of the fact that the longitudinal axis direction indicated by the shape configuration of most bone tissues is compatible with the trajectory of the maximum material stiffness. First, surface harmonic fields of the longitudinal axis direction for individual bone models were generated, whose scalar distribution pattern tends to conform very well to the object shape. The scalar iso-contours were extracted and sampled adaptively to construct volumetric meshes of high quality. Following, the surface harmonic fields were expanded over the whole volumetric domain to create longitudinal and radial volumetric harmonic fields, from which the gradient vector fields were calculated and employed as the orthotropic principal axes vector fields. Contrastive finite element analyses demonstrated that elastic orthotropy has significant effect on simulating stresses and strains, including the value as well as distribution pattern, which underlines the relevance of our orthotropic modeling scheme.

Resumo Limpo

although well known human bone tissu obvious orthotrop materi properti work physic model field adopt oversimplifi isotrop approxim transvers isotrop elast due simplic paper present conveni methodolog base harmon field construct volumetr finit element mesh integr complet orthotrop materi basic idea take advantag fact longitudin axi direct indic shape configur bone tissu compat trajectori maximum materi stiff first surfac harmon field longitudin axi direct individu bone model generat whose scalar distribut pattern tend conform well object shape scalar isocontour extract sampl adapt construct volumetr mesh high qualiti follow surfac harmon field expand whole volumetr domain creat longitudin radial volumetr harmon field gradient vector field calcul employ orthotrop princip axe vector field contrast finit element analys demonstr elast orthotropi signific effect simul stress strain includ valu well distribut pattern underlin relev orthotrop model scheme

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