Document type
Journal articles
Document subtype
Full paper
Title
Is Objectivity Really an Objective Concept?
Participants in the publication
Nicolas Van Goethem (Author)
Dep. Matemática
Summary
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.
Date of Submisson/Request
2022-04-22
Date of Acceptance
2022-10-12
Date of Publication
2022-06
Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA
Where published
Annals of Applied Mathematics
Publication Identifiers
ISSN - 2096-0174
Publisher
Global Science Press
Number of pages
52
Starting page
441
Last page
492
Document Identifiers
DOI -
https://doi.org/10.4208/aam.oa-2022-0003
URL -
http://dx.doi.org/10.4208/aam.oa-2022-0003