International Congress on New Trends In Science, Engineering and Technology, 7 - 09 July 2020, pp.46
A static analysis of a plate-strip made from functionally graded material (FGM) containing a rectangular hole has been investigated under bending forces acting on the upper face-plane of the plate-strip. The plate-strip is simply supported at two opposite ends. Young’s modulus varies continuously in the horizontal and vertical directions according to power law distribution, but the Poisson's ratio and material density are assumed to be constant. The following functional forms are used for the nodal values of Young’s modulus for horizontal direction and vertical direction, respectively.These cases are solved for an half of the domain, because of the symmetry of the geometry and loading with respect to the planes .
The classical linear elasticity theory and
the generalized plane-strain conditions are assumed for the modelling of the
theoretical investigations [1]. The
solution of the considered problem is obtained numerically with the help of the
Finite Element Method (FEM). Finite number of sub-domains (FEs) are used for
the discretization of the solution domain and the solution in each sub-domain
is considered as a polynomial function. Employing the Ritz technique, we are
obtained the FEM modelling of the boundary value problem [2]. The solution
domain is discretized a certain number of rectangular elements having nine
nodes. We have used displacement-based finite elements for the FEM modeling
[2].
Numerical results of distributions
of the displacements and stresses are presented and discussed for various
problem parameters such as, material property, hole size, and position of the
hole.