G-space theory and weakened-weak form for micropolar media: Application to smoothed point interpolation methods

Autor:	Lapo Gori, Samuel Silva Penna, Roque Luiz da Silva Pitangueira
Rok vydání:	2019
Předmět:	Continuum (topology) Applied Mathematics Mathematical analysis General Engineering Order (ring theory) Cartesian product Displacement (vector) Physics::Fluid Dynamics Computational Mathematics symbols.namesake symbols Point (geometry) Uniqueness Analysis Weakened weak form Mathematics Interpolation
Zdroj:	Engineering Analysis with Boundary Elements. 101:318-329
ISSN:	0955-7997
DOI:	10.1016/j.enganabound.2019.01.013
Popis:	The concepts of G-space and weakened-weak form already available for the classic continuum model are extended to the case of the micropolar theory, in order to allow the use of smoothed point interpolation methods for the analysis of micropolar media. A new G-space, defined as a cartesian product of standard G-spaces, is introduced in order to represent both the displacement and the microrotation fields of a micropolar medium. Based on this G-space, a micropolar weakened-weak form is formulated, and the existence and uniqueness of its solution are proven.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::20941d7787727169bf9d239caca87190 https://doi.org/10.1016/j.enganabound.2019.01.013 Zobrazit plný text záznamu Full Text from ScienceDirect