A microstructure-dependent plate model for orthotropic functionally graded micro-plates. Issue 14 (18th July 2019)

• Record Type: Journal Article
• Authors: Zihao, Yang; He, Dan
• Is Part Of: Mechanics of advanced materials and structures. Volume 26:Issue 14(2019)
• Page Start: 1218
• Page End: 1225
• Publication Date: 2019-07-18
• Subjects: Functionally graded materials -- orthotropic -- scale effect -- material length scale parameter -- modified couple stress theory; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2018.1432794
• Languages: English
• ISSNs: 1537-6494

Abstract

ABSTRACT: A microstructure-dependent plate model for bending of orthotropic functionally graded micro-plates was proposed on the basis of a re-modified couple stress theory. The proposed model contributed a consideration of micro- as well as macroscopic anisotropy of the plate. Meanwhile these two category material attributes are also assumed to vary continuously through the thickness direction by a power law. From a detailed process of variation the equilibrium equations and related boundary conditions are derived. A simply supported square plate subjected to a double sinusoidal distributed load is taken as the illustrative example and analytically solved. Numerical results demonstrated that the developed micro-plate model predict smaller deflections and stresses than classical model. In addition, the magnitudes of additional bending stiffness in two orthogonal directions caused by scale effect are different.