Nonlinear isogeometric analysis of magneto-electro-elastic porous nanoplates

We are happy to announce that Dr. Thai Hoang Chien and colleagues recently published their work entitled " Nonlinear isogeometric analysis of magneto-electro-elastic porous nanoplates" in the Applied Mathematical Modelling

Abstract:

We propose an effective approach for geometrically nonlinear analysis of magneto-electro-elastic functionally graded (MEE-FG) porous nanoplate. The key idea relies on a size-dependent isogeometric approach, which is considered as a reliable and interesting technique in this area. A generalized model for MEE-FG nanoplates with porosities satisfies assumptions of the nonlocal Eringen's theory based on von Kármán strains, isogeometric approach and the higher-order shear deformation theory, inherently addressing third derivatives in the approximations. By employing the nonlocal theory, the proposed model effectively illustrates the reduction in nanoplate stiffness under the influence of the nonlocal parameter. We also explore porous distributions across the plate thickness, employing both even and uneven functions, and note that an increase in the porous parameter leads to a more pronounced nonlinear deflection. The electric and magnetic potentials in accordance with Maxwell's equation are denoted. The generalized weak formulation of MEE-FG porous nanoplates is derived by the principle of extended virtual displacement. The influence of small-scale parameter, power law exponent, porosity coefficient and porous distributions on the nonlinear deflection of MEE-FG porous nanoplates is investigated. These findings have significant implications for future research in this field.