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Pàgina inicial > Articles > Articles publicats > Quasi-homothetic transformation for comparing the mechanical performance of planar models in biological research |
Data: | 2013 |
Resum: | The potential of Finite Element Analysis (FEA) as an analytical technique in biological research has been widely highlighted in recent years. In spite of its great power, only in the best of circumstances one can compare the behaviour of models that differ in size and shape. Here, a new and easy procedure to scale FE models of plane elasticity is presented for several species of extant bovids that significantly differ in size and morphology. The method is based on the modification of the values of the forces applied by taking into account the particularities of the elasticity plane models (plane strain and plane stress equations) using quasi-homothetic transformations. This approach is shown to be extremely useful when exploring the effect of the shape in front of the strength and the stiffness of vertebrate bone structures. Thus, the quasihomothetic concept is a new and interesting proposal to be used in plane elasticity models of biological, and specifically of vertebrate, structures which can be modelled as two-dimensional finite element models. |
Ajuts: | Ministerio de Economía y Competitividad CGL2010-19116 Ministerio de Economía y Competitividad CGL2010-21672 Ministerio de Economía y Competitividad CGL2011-30069-C02-01 |
Drets: | Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la comunicació pública de l'obra i la creació d'obres derivades, sempre que no sigui amb finalitats comercials i que es distribueixin sota la mateixa llicència que regula l'obra original. Cal que es reconegui l'autoria de l'obra original. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Matèria: | FEA ; Homothetic transformation ; Plane elasticity ; Size ; Morphology ; Continuum mechanics |
Publicat a: | Palaeontologia electronica, Vol. 16, issue 3 (Nov. 2013) , ISSN 1094-8074 |
15 p, 3.0 MB |