A quasi-3D hyperbolic shear deformation theory for functionally graded plates [PDF]
A quasi-3D hyperbolic shear deformation theory for functionally graded plates is developed. The theory accounts for both shear deformation and thickness-stretching effects by a hyperbolic variation of all displacements across the thickness, and satisfies
Bui, Tinh +3 more
core +1 more source
On the Calculus of Functionally Graded Plates
Abstract This paper presents some of our results regarding calculus of the functionally graded plates (FGPs). Such plates are made of Functionally Graded Materials (FGMs), which represent a new material class belonging to the composite materials. Our paper presents some material laws in a comparative way.
Vasile Năstăsescu +2 more
openaire +1 more source
A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates [PDF]
A new inverse trigonometric shear deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates.
Nguyen, Trung-Kien +3 more
core +1 more source
Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements [PDF]
A three-dimensional modelling of free vibrations and static response of functionally graded material (FGM) sandwich plates is presented. Natural frequencies and associated mode shapes as well as displacements and stresses are determined by using the ...
Burlayenko, V. N., Sadowski, Tomasz
core
Out-of-Plane Bending of Functionally Graded Thin Plates with a Circular Hole
The out-of-plane bending problems of functionally graded thin plates with a circular hole are studied for two-dimensional deformations. The thin plates have arbitrary variations of elastic properties along the radial direction.
Quanquan Yang +3 more
doaj +1 more source
Theories and analyses of functionally graded circular plates
This paper presents the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded axisymmetric circular plates. The classical, first-order, and third-order shear deformation theories are presented,
J.N. Reddy +3 more
doaj +1 more source
Three-dimensional free vibration analysis of thermally loaded fgm sandwich plates [PDF]
Using the finite element code ABAQUS and the user-defined material utilities UMAT and UMATHT, a solid brick graded finite element is developed for three-dimensional (3D) modeling of free vibrations of thermally loaded functionally gradient material (FGM)
Burlayenko, V. N. +2 more
core
State-space Levy solution for size-dependent static, free vibration and buckling behaviours of functionally graded sandwich plates [PDF]
The size-dependent static, free vibration and buckling behaviours of functionally graded (FG) sandwich plates are analysed in this study. Utilising the modified couple stress theory and variational principle, governing equations of motion are developed ...
Nguyen, Kien +4 more
core +1 more source
Based on the strain assumption and linear mixing rate of Vogit, the physical property parameter expression of functionally graded material plates is obtained.
Xin Wang, Jun Han Zhi, Li Wu Ya
doaj +1 more source
Boundary element method applied to the bending analysis of thin functionally graded plates
The present work introduces the boundary element method applied to the bending analysis of functionally graded plates. It is assumed that material properties are graded through the thickness direction of the plate according to a power law distribution ...
A. R. Damanpack +3 more
doaj +1 more source

