Ngoc-Duong Nguyen, Van-Tai Bui, Luan C. Trinh, Quoc-Cuong Le
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引用次数: 0
Abstract
The impact of foundation properties on the mechanical behaviour of microstructures is an essential and compelling area of research in micro/nano-electro-mechanical systems. This study examines the foundation’s influence on the buckling, bending, and free vibration responses of functionally graded (FG) porous microbeams. The beam model is based on a modified strain gradient theory and third-order shear deformation theory. A Ritz solution using Legendre functions is developed to address the governing equations of motion. FG porous microbeams with symmetric (D1) and asymmetric (D2) porosity distribution patterns and three boundary conditions (clamped–clamped, clamped-free, and simply-supported) are thoroughly investigated. A comprehensive analysis scrutinises the effects of elastic foundation, porosity ratio, porosity distribution, boundary condition, and geometry on FG porous microbeams’ buckling, bending, and vibration responses. The findings of this study suggest that the foundation effect is particularly significant for clamped-free beams and D2 beams, and it becomes more pronounced with an increase in the thickness-to-material length scale parameter ratio. This research provides valuable insights into FG porous microbeams on foundations using the modified strain gradient theory, thereby establishing a basis for future investigations. Furthermore, the present results have implications for the design of micro-structured devices.
期刊介绍：
It is the objective of this journal to provide an effective medium for the dissemination of recent advances and original works in mechanics and materials'' engineering and their impact on the design process in an integrated, highly focused and coherent format. The goal is to enable mechanical, aeronautical, civil, automotive, biomedical, chemical and nuclear engineers, researchers and scientists to keep abreast of recent developments and exchange ideas on a number of topics relating to the use of mechanics and materials in design.
Analytical synopsis of contents:
The following non-exhaustive list is considered to be within the scope of the International Journal of Mechanics and Materials in Design:
Intelligent Design:
Nano-engineering and Nano-science in Design;
Smart Materials and Adaptive Structures in Design;
Mechanism(s) Design;
Design against Failure;
Design for Manufacturing;
Design of Ultralight Structures;
Design for a Clean Environment;
Impact and Crashworthiness;
Microelectronic Packaging Systems.
Advanced Materials in Design:
Newly Engineered Materials;
Smart Materials and Adaptive Structures;
Micromechanical Modelling of Composites;
Damage Characterisation of Advanced/Traditional Materials;
Alternative Use of Traditional Materials in Design;
Functionally Graded Materials;
Failure Analysis: Fatigue and Fracture;
Multiscale Modelling Concepts and Methodology;
Interfaces, interfacial properties and characterisation.
Design Analysis and Optimisation:
Shape and Topology Optimisation;
Structural Optimisation;
Optimisation Algorithms in Design;
Nonlinear Mechanics in Design;
Novel Numerical Tools in Design;
Geometric Modelling and CAD Tools in Design;
FEM, BEM and Hybrid Methods;
Integrated Computer Aided Design;
Computational Failure Analysis;
Coupled Thermo-Electro-Mechanical Designs.
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