Physics

Frame (networking)

Finite element method

Mathematics

Boundary knot method

Structural engineering

Bending

Statistics

Engineering

Enhanced Data Rates for GSM Evolution

Mathematical analysis

Interpolation (computer graphics)

Trigonometric functions

Composite material

Vibration

Acoustics

Smoothed finite element method

Materials science

Geometry

Smoothing

Boundary element method

Telecommunications

Mechanical engineering

Defence Technology

The main purpose of this paper is to present numerical results of static bending and free vibration of functionally graded porous (FGP) variable-thickness plates by using an edge-based smoothed finite element method (ES-FEM) associate with the mixed interpolation of tensorial components technique for the three-node triangular element (MITC3), so-called ES-MITC3. This ES-MITC3 element is performed to eliminate the shear locking problem and to enhance the accuracy of the existing MITC3 element. In the ES-MITC3 element, the stiffness matrices are obtained by using the strain smoothing technique over the smoothing domains formed by two adjacent MITC3 triangular elements sharing an edge. Materials of the plate are FGP with a power-law index (k) and maximum porosity distributions (Ω) in the forms of cosine functions. The influences of some geometric parameters, material properties on static bending, and natural frequency of the FGP variable-thickness plates are examined in detail.

Static and free vibration analyses of functionally graded porous variable-thickness plates using an edge-based smoothed finite element method