Simulation-based assessment of coupled frequency response of magneto-electro-elastic auxetic multifunctional structures subjected to various electromagnetic circuits

Abstract

This article deals with the modeling of magneto-electro-elastic auxetic structures and developing a methodology in COMSOL Multiphysics® to assess the free vibration response of such structures when subjected to various electromagnetic circuit conditions. The triple energy interaction between elastic, magnetic, and electric fields are established in the COMSOL Multiphysics® using structural mechanics and electromagnetic modules. The multiphase magneto-electro-elastic material with different percentages of piezoelectric and piezomagnetic phases are used as the material. In the solid mechanics module, the piezoelectric and piezomagnetic materials were created in stress-charge and stress-magnetization forms, respectively. The electric and magnetic fields are defined in COMSOL Multiphysics® through electromagnetic equations. Further, the customized controlled meshing constituted of free tetrahedral and triangular elements is adapted to trade-off between the accuracy and the computational expenses. The eigenvalue analysis is performed to obtain the natural frequencies of the MEE re-entrant auxetic structures. Also, the efficiency of smart auxetic structures over conventional honeycomb structures is presented throughout the manuscript. In addition, the discrepancy in the natural frequencies of the structures considering coupled and uncoupled state is also illustrated. It is believed that the modeling procedure and its outcomes serve as benchmark solutions for further design and analysis of smart auxetic magneto-electro-elastic structures.

Integrated effects of auxeticity and pyro-coupling on the nonlinear static behaviour of magneto-electro-elastic sandwich plates subjected to multi-field interactive loads

“…Quan et al 54 analytically studied the nonlinear dynamic response of imperfect MEE plate with volume fraction equal of 1. Mahesh et al 55 studied the influence of auxeticity on the natural frequency of MEE cell structures. The effects of CNT reinforcement and micro-topological textures on the nonlinear responses of MEE plates have been reported in Mahesh and Harursampath.…”

Machine learning assisted nonlinear deflection analysis of agglomerated carbon nanotube core smart sandwich plate with three-phase magneto-electro-elastic skin

“…32 However, finite-element methods (FEMs) are useful in investigating MEE structural responses due to a good trade-off between the computational effectiveness and the efforts involved. [33][34][35][36] Meanwhile, in contrast to the basic displacement models, the coupled field interactions of MEE structures are well captured by the higher-order shear deformation theory (HSDT) and are more reliable. [37][38][39] The evaluation of coupled responses of MEE structures in the nonlinear regime is crucial and challenging, as they are mainly used for SHM.…”