A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory
HighlightsA robust numerical model is proposed for the nonlinear analysis of functionally graded microplates under static and dynamic loads.The size effect is captured using the strain gradient theory.Shear deformation effect and geometric nonlinearity are included using Reddy’s plate theory with von Karman assumption.The effect of small-scale on the nonlinear behaviour of microplates is examined.
AbstractThe objective of this study is to develop an effective numerical model within the framework of an isogeometric analysis (IGA) to investigate the geometrically nonlinear responses of functionally graded (FG) microplates subjected to static and dynamic loadings. The size effect is captured based on the modified strain gradient theory with three length scale parameters. The third-order shear deformation plate theory is adopted to represent the kinematics of plates, while the geometric nonlinearity is accounted based on the von Kármán assumption. Moreover, the variations of material phrases through the plate thickness follow the rule of mixture. By using Hamilton’s principle, the governing equation of motion is derived and then discretized based on the IGA technique, which tailors the non-uniform rational B-splines (NURBS) basis functions as interpolation functions to fulfil the -continuity requirement. The nonlinear equations are solved by the Newmark’s time integration scheme with Newton-Raphson iterative procedure. Various examples are also presented to study the influences of size effect, material variations, boundary conditions and shear deformation on the nonlinear behaviour of FG microplates.
Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory
HighlightsA robust numerical model is proposed for the nonlinear analysis of functionally graded microplates under static and dynamic loads.The size effect is captured using the strain gradient theory.Shear deformation effect and geometric nonlinearity are included using Reddy’s plate theory with von Karman assumption.The effect of small-scale on the nonlinear behaviour of microplates is examined.
AbstractThe objective of this study is to develop an effective numerical model within the framework of an isogeometric analysis (IGA) to investigate the geometrically nonlinear responses of functionally graded (FG) microplates subjected to static and dynamic loadings. The size effect is captured based on the modified strain gradient theory with three length scale parameters. The third-order shear deformation plate theory is adopted to represent the kinematics of plates, while the geometric nonlinearity is accounted based on the von Kármán assumption. Moreover, the variations of material phrases through the plate thickness follow the rule of mixture. By using Hamilton’s principle, the governing equation of motion is derived and then discretized based on the IGA technique, which tailors the non-uniform rational B-splines (NURBS) basis functions as interpolation functions to fulfil the -continuity requirement. The nonlinear equations are solved by the Newmark’s time integration scheme with Newton-Raphson iterative procedure. Various examples are also presented to study the influences of size effect, material variations, boundary conditions and shear deformation on the nonlinear behaviour of FG microplates.
Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory
Thai, Son (author) / Thai, Huu-Tai (author) / Vo, Thuc P. (author) / Nguyen-Xuan, H. (author)
Engineering Structures ; 153 ; 598-612
2017-10-02
15 pages
Article (Journal)
Electronic Resource
English
Post-buckling Analysis of Circular Functionally Graded Microplates Based on Isogeometric Analysis
| Springer Verlag | 2022