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

• Type: Article in International Scientific Journal
• Date: 2016

Authors

Giunta, G (Author) Other; Belouettar, S (Author) Other; Ferreira, AJM (Author) FEUP

Journal

Title: Acta Mechanica

Vol. 227

Pages: 969-991

ISSN: 0001-5970

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 13 Citations

Scopus - 26 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23