Dynamic stability analysis of porous functionally graded microplates using a refined isogeometric approach. (15th March 2022)

• Record Type: Journal Article
• Authors: Pham, Quoc-Hoa; Nguyen, Phu-Cuong
• Is Part Of: Composite structures. Volume 284(2022)
• Publication Date: 2022-03-15
• Subjects: Dynamic stability -- Porous microplates -- Isogeometric analysis -- Modified couple stress theory -- Refined plate theory; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2021.115086
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: This paper is devoted to analyzing dynamic stability behaviors of porous functionally graded (FG) microplates subjected to periodic uniaxial/biaxial in-plane compressions by utilizing a refined plate theory (RPT) in conjunction with modified couple stress theory (MCST) within isogeometric analysis (IGA) framework. In this setting, the displacement field of microplates is expressed based on four-variable RPT-based IGA, while the effects of microstructure could be thoroughly captured by employing MCST involving only one material length scale parameter. To define dynamic instability region boundaries, Bolotin's method is adopted in the present work. Three different dispersions of internal porosities i.e. even, uneven, and logarithmic uneven through the thickness direction are investigated in detail. In addition, porosity-dependent material properties are estimated via a modified rule of mixture. A number of numerical investigations are carried out to study, for the first time, the influences of several key factors such as porosity coefficient and porosity distribution, material length scale, power law index, static and dynamic load factors on dynamic instability characteristics of FG microplates considering internal porosity. Highlights: An efficient and robust numerical model based on RPT, MCST, and NURBS-based IGA is developed. Dynamic stability characteristics of porous functionally graded microplates are explored. Various porosity dispersion models across the thickness direction are investigated. Influences of various key factors under dynamic periodic uniaxial/biaxial compressions are performed.