BIBLIOS

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

Título
Is Objectivity Really an Objective Concept?

Participantes na publicação
Nicolas Van Goethem (Author)
Dep. Matemática

Resumo
Objectivity is the name given to covariance with respect to changes\nin observers by the action of the Euclidean group and is a central concept for\nmathematical modelling in Physics and Continuum mechanics. However, this\nnotion is delicate and therefore hard to understand by both mechanicians and\nmathematicians, precisely because it resides at the junction of the two disci-\nplines and hence appeals to knowledge and notions from both fields to become\nclear. In a first part (”behind objectivity”) some classical notions of objectivity\nand frame-dependence are presented, discussed and critically revisited with the\npurpose to introduce in a second part (”beyond objectivity”) a novel modelling\napproach in incompatible elasticity, based on intrinsic and geometric concepts,\nrelated but distinct from conventional objectivity. This contribution is primarily\nconceived to assist students, academics and researchers, mathematicians in par-\nticular, to find their way through some difficult and often ill-understood concepts\nof Physics and Continuum mechanics, since objectivity still remains nowadays\na profound concept that deserves our attention.


Instituição
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Suporte
Annals of Applied Mathematics

Identificadores da Publicação
ISSN - 2096-0174

Editora
Global Science Press



Identificadores do Documento
DOI - https://doi.org/10.4208/aam.oa-2022-0003
URL - http://dx.doi.org/10.4208/aam.oa-2022-0003