Influences of elastic foundation on bending analysis of multidirectional porous functionally graded plate under industrial used loading: a meshfree approach

• Published in: Multiscale and Multidisciplinary Modeling, Experiments and Design Experiments and Design, 2023-12, Vol.6 (4), p.519-535
• Main Authors: Srivastava, M. C., Singh, Jeeoot
• Format: Article
• Language: English
• Subjects: Characterization and Evaluation of Materials; Engineering; Mathematical Applications in the Physical Sciences; Mechanical Engineering; Numerical and Computational Physics; Original Paper; Simulation; Solid Mechanics
• ISSN: 2520-8160; 2520-8179
• DOI: 10.1007/s41939-023-00156-x

In the present work, the bending analysis of a multi-directional porous functionally graded plate (MDPFG) resting on an elastic foundation involves determining the deflection and stress distribution of the plate under I, T and L loads. The material properties of MDPFG plates are to be graded in the thickness and length directions according to modified power-law distribution considering uniformly and nonuniformly types of porosity distributions. The energy principle produces the plate’s governing differential equations (GDEs). The strong form formulation is discretized using Wendland radial basis function (WRBF) is used to solve GDEs and determine the deflection and stress distribution of the plate under applied loading. To generate the numerical results, a code has been computed in MATLAB (2019). The normalized deflection and stresses of MDPFG plates are investigated with respect to the grading index, span-to-thickness ratio, aspect ratio, transverse loading type, porosity fraction, and porosity distribution. Future investigations of MDPFG plates may use new numerical results as standards.