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

abstract

• 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. 2012 Elsevier Inc.

authors

• Reddy, Junuthula

published proceedings

• APPLIED MATHEMATICAL MODELLING

author list (cited authors)

• Roque, C., Ferreira, A., & Reddy, J. N.

citation count

• 77

complete list of authors

• Roque, CMC||Ferreira, AJM||Reddy, JN

publication date

• April 2013

publisher

• Elsevier  Publisher

published in

• Applied Mathematical Modelling: simulation and computation for engineering and environmental systems  Journal

keywords

• Couple Stress Theory
• Mesh Less Methods
• Mindlin Plates

Digital Object Identifier (DOI)

• 10.1016/j.apm.2012.09.063

start page

• 4626

end page

• 4633

volume

• 37

issue

• 7

URL

• http://dx.doi.org/10.1016/j.apm.2012.09.063