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Quasi-homothetic transformation for comparing the mechanical performance of planar models in biological research
Marcé Nogué, Jordi (Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria)
De Miguel, Daniel (Institut Català de Paleontologia Miquel Crusafont)
Fortuny Terricabras, Josep (Institut Català de Paleontologia Miquel Crusafont)
De Esteban-Trivigno, Soledad (Institut Català de Paleontologia Miquel Crusafont)
Gil Espert, Lluís (Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria)

Date: 2013
Abstract: 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.
Note: Número d'acord de subvenció MINECO/CGL2010-19116
Note: Número d'acord de subvenció MINECO/CGL2010-21672
Note: Número d'acord de subvenció MINECO/CGL2011-30069-C02-01
Rights: 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. Creative Commons
Language: Anglès.
Document: article ; recerca ; publishedVersion
Subject: FEA ; Homothetic transformation ; Plane elasticity ; Size ; Morphology ; Continuum mechanics
Published in: Palaeontologia electronica, Vol. 16, issue 3 (Nov. 2013) , ISSN 1094-8074

DOI: 10.26879/365


15 p, 3.0 MB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Experimental sciences > Institut Català de Paleontologia Miquel Crusafont (ICP)
Articles > Research articles
Articles > Published articles

 Record created 2018-07-13, last modified 2019-07-21



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