Isogeometric Buckling Analysis of The Magneto-electro-elastic Foam Plates Resting on An Elastic Foundation

Abstract

This study combines the isogeometric approach (IGA) and refined plate theory (RPT) with two variables to investigate buckling behavior of magneto-electro-elastic (MEE) foam plates resting on an elastic foundation. The pores in the MEE foam plates are arranged in three patterns: uniform, symmetric, and asymmetric distributions across the plate thickness. The elastic foundation supported by Winkler and Pasternak is utilized to approach computational model. The governing equations are derived by using RPT and Hamilton’s principle. The Non-Uniform Rational B-Splines (NURBS) basic functions in the IGA method are used to approximate the displacement fields, magnetic and electric potentials. The critical buckling load of the MEE foam plates is determined by solving the above governing equations with the help of the IGA. The study investigates and discusses the influence of various parameters such as the porosity distributions, porous coefficient, external electric voltage and magnetic potential, spring/shear coefficients of the elastic foundation, and the geometry of the MEE foam plates on the critical buckling load. The results show that these parameters significantly influence the buckling behavior of the MEE foam plates. This study provides valuable insights into the buckling behavior of magneto-electro-elastic foam plates and can inform the design of novel materials and structures with tailored properties.

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