Analysis of Mindlin micro plates with a modified couple stress theory and a meshless method

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Roque, CMC (Author) FEUP; Ferreira, AJM (Author) FEUP; Reddy, JN (Author) Other

Journal

Title: Applied Mathematical Modelling

Vol. 37

Pages: 4626-4633

ISSN: 0307-904X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 53 Citations

Scopus - 74 Citations

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

Authenticus ID: P-005-288

DOI: 10.1016/j.apm.2012.09.063

Abstract (EN): A modified couple stress theory and a meshless method is used to study the bending of simply supported micro isotropic plates according to the first-order shear deformation plate theory, also known as the Mindlin plate theory. The modified couples tress theory involves only one length scale parameter and thus simplifies the theory, since experimentally it is easier to determine the single scale parameter. The equations governing bending of the first-order shear deformation theory are implemented using a meshless method based on collocation with radial basis functions. The numerical method is easy to implement, and it provides accurate results that are in excellent agreement with the analytical solutions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8