Dynamic positional finite element method applied to nonlinear geometric 3D solids

Maciel, Daniel Nelson; Coda, Humberto B.

Dynamic positional finite element method applied to nonlinear geometric 3D solids

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dc.contributor.author	Maciel, Daniel Nelson
dc.contributor.author	Coda, Humberto B.
dc.date.accessioned	2020-11-30T23:53:20Z
dc.date.available	2020-11-30T23:53:20Z
dc.date.issued	2010-11
dc.description.resumo	This paper presents the dynamic positional nonlinear geometric formulation for tridimensional problems. The positional formulation is an alternative approach for non linear problems, since it considers nodal positions as variables of the nonlinear system instead of displacements as usual in literature. In order to avoid locking, tetrahedral third-order isoparametric finite element (20 nodes) is implemented for both displacement and stress field. Regarding to dynamic forces, it is considered the consistent mass matrix and damping effects proportional to the body mass. The well-known Newmark algorithm for time integration is applied. Some simple numerical examples are presented in order to show the accuracy of the proposed formulation	pt_BR
dc.identifier.citation	MACIEL, Daniel Nelson; CODA, Humberto Breves . Dynamic positional finite element method applied to nonlinear geometric 3D solids. Mecánica Computacional, v. XXIX, p. 4377-4387, 2010. Disponível em: https://cimec.org.ar/ojs/index.php/mc/article/view/3311. Acesso em: 19 nov. 2020.	pt_BR
dc.identifier.issn	2591-3522
dc.identifier.uri	https://repositorio.ufrn.br/handle/123456789/30795
dc.language	en	pt_BR
dc.publisher	Asociación Argentina de Mecánica Computacional	pt_BR
dc.subject	Solids	pt_BR
dc.subject	Geometric nonlinearity	pt_BR
dc.subject	Dynamic problems	pt_BR
dc.subject	Finite elements	pt_BR
dc.title	Dynamic positional finite element method applied to nonlinear geometric 3D solids	pt_BR
dc.type	article	pt_BR