The study of porous elastic plates by Mesh-free methods

Abstract

Analytical formulae have been derived for the effective Young modulus and Poisson ratio of a homogeneous isotropic continuum used for replacing the porous linear elastic medium involving vacant elliptic pores. A strong formulation with the meshless approximation of field variables has been developed for a numerical solution to bending problems within three theories: Kirchhoff–Love theory, 1st order and 3rd order Shear Deformation Plate Theory. The influence of porosity on bending is studied numerically and presented for a circular plate.