A static analysis of three-dimensional functionally graded beams by hierarchical modelling and a collocation meshless solution method

• Tipo: Artigo em Revista Científica Internacional
• Data: 2016

Autores

Giunta, G (Autor) Outra; Belouettar, S (Autor) Outra; Ferreira, AJM (Autor) FEUP

Revista

Título: Acta Mechanica

Vol. 227

Páginas: 969-991

ISSN: 0001-5970

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 13 Citações

Scopus - 26 Citações

Outras Informações

ID Authenticus: P-00K-11V

DOI: 10.1007/s00707-015-1503-3

Abstract (EN): In this paper, a mesh-free strong-form solution is used to investigate the static response of beams made of functionally graded materials. Thanks to a compact notation, the a priori expansion order of the three-dimensional displacement field upon the cross-section can be assumed as a free parameter resulting in a hierarchical kinematic modelling. Several higher-order theories as well as Timoshenko's classical model can be formulated straightforwardly. The governing differential equations and boundary conditions are obtained as a fundamental nucleus, and an algebraic system is derived via collocation with multiquadric radial basis functions. Results are validated towards three-dimensional FEM models and also against an analytical Navier-type solution. The numerical investigations demonstrate that the presented approach yields accurate results.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23