A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Bending, vibration and buckling isogeometric analysis of functionally graded porous microplates based on the TSDT incorporating size and surface effects
https://orcid.org/0000-0001-9149-9748
Abstract This paper presents a new microplate model for the static bending, free vibration, and buckling analysis of functionally graded (FG) porous plates. The model is based on the third-order shear deformation theory (TSDT) and incorporates the microstructural effect using the modified couple stress theory (MCST), as well as the surface stress effect using the Gurtin–Murdoch theory. The accuracy and reliability of the proposed model are evaluated using NURBS-based isogeometric analysis (IGA), which demonstrates excellent validation results. Furthermore, this study provides new insights into the mechanical behavior of FG porous microplates, investigating the influences of boundary conditions, surface effects, length scale parameters, porosity coefficients, plate aspect ratios, and buckling load conditions. Novel conclusions are drawn based on the analysis of deflection, stress, natural frequency, and buckling load.
Highlights A new TSDT microplate model combined with microstructural effect and surface effect is established for the FG porous plates. The microstructural effect is described by MCST, and the surface stress effect is captured by Gurtin–Murdoch theory. The present model is assessed with the NURBS based isogeometric analysis. Validation studies show that the present theory has excellent accuracy and reliability. Some new results are presented, and some novel conclusions are drawn.
Bending, vibration and buckling isogeometric analysis of functionally graded porous microplates based on the TSDT incorporating size and surface effects
https://orcid.org/0000-0001-9149-9748
Abstract This paper presents a new microplate model for the static bending, free vibration, and buckling analysis of functionally graded (FG) porous plates. The model is based on the third-order shear deformation theory (TSDT) and incorporates the microstructural effect using the modified couple stress theory (MCST), as well as the surface stress effect using the Gurtin–Murdoch theory. The accuracy and reliability of the proposed model are evaluated using NURBS-based isogeometric analysis (IGA), which demonstrates excellent validation results. Furthermore, this study provides new insights into the mechanical behavior of FG porous microplates, investigating the influences of boundary conditions, surface effects, length scale parameters, porosity coefficients, plate aspect ratios, and buckling load conditions. Novel conclusions are drawn based on the analysis of deflection, stress, natural frequency, and buckling load.
Highlights A new TSDT microplate model combined with microstructural effect and surface effect is established for the FG porous plates. The microstructural effect is described by MCST, and the surface stress effect is captured by Gurtin–Murdoch theory. The present model is assessed with the NURBS based isogeometric analysis. Validation studies show that the present theory has excellent accuracy and reliability. Some new results are presented, and some novel conclusions are drawn.
Bending, vibration and buckling isogeometric analysis of functionally graded porous microplates based on the TSDT incorporating size and surface effects
https://orcid.org/0000-0001-9149-9748
Abstract This paper presents a new microplate model for the static bending, free vibration, and buckling analysis of functionally graded (FG) porous plates. The model is based on the third-order shear deformation theory (TSDT) and incorporates the microstructural effect using the modified couple stress theory (MCST), as well as the surface stress effect using the Gurtin–Murdoch theory. The accuracy and reliability of the proposed model are evaluated using NURBS-based isogeometric analysis (IGA), which demonstrates excellent validation results. Furthermore, this study provides new insights into the mechanical behavior of FG porous microplates, investigating the influences of boundary conditions, surface effects, length scale parameters, porosity coefficients, plate aspect ratios, and buckling load conditions. Novel conclusions are drawn based on the analysis of deflection, stress, natural frequency, and buckling load.
Highlights A new TSDT microplate model combined with microstructural effect and surface effect is established for the FG porous plates. The microstructural effect is described by MCST, and the surface stress effect is captured by Gurtin–Murdoch theory. The present model is assessed with the NURBS based isogeometric analysis. Validation studies show that the present theory has excellent accuracy and reliability. Some new results are presented, and some novel conclusions are drawn.
Bending, vibration and buckling isogeometric analysis of functionally graded porous microplates based on the TSDT incorporating size and surface effects
Shi, Peng (author) / Dong, Chunying (author) / Shou, Haoge (author) / Li, Baobo (author)
Thin-Walled Structures ; 191
2023-07-13
Article (Journal)
Electronic Resource
English
Post-buckling Analysis of Circular Functionally Graded Microplates Based on Isogeometric Analysis
| Springer Verlag | 2022