Abstract
To overcome the overstiffness and imprecise magnetoelectroelastic coupling effects of finite element method (FEM), we present an inhomogeneous cell-based smoothed FEM (ICS-FEM) of functionally graded magnetoelectroelastic (FGMEE) structures. Then the ICS-FEM formulations for free vibration calculation of FGMEE structures were deduced. In FGMEE structures, the true parameters at the Gaussian integration point were adopted directly to replace the homogenization in an element. The ICS-FEM provides a continuous system with a close-to-exact stiffness, which could be automatically and more easily generated for complicated domains, thus significantly decreasing the numerical error. To verify the accuracy and trustworthiness of ICS-FEM, we investigated several numerical examples and found that ICS-FEM simulated more accurately than the standard FEM. Also the effects of various equivalent stiffness matrices and the gradient function on the inherent frequency of FGMEE beams were studied.
Highlights
Graded magnetoelectroelastic (FGMEE) materials are generally multiphase composites with continuously varying mechanical properties
The frequencies of clamp-free CoFe2O4 Functionally graded magnetoelectroelastic (FGMEE) beams with different values of exponential factor are shown in Figure 9; the first eleven natural frequencies calculated by ICS-finite element method (FEM) are smaller than those calculated by FEM
inhomogeneous cell-based smoothed FEM (ICS-FEM) for FGMEE materials was formulated by incorporating gradient smoothing into the FEM-based computation for the FGMEE multi-physics field
Summary
Graded magnetoelectroelastic (FGMEE) materials are generally multiphase composites with continuously varying mechanical properties. Several computational techniques were proposed to investigate the electroelastic, magnetoelastic, and electromagnetic coupling effects of smart structures, such as finite element method (FEM), mesh-free method, and scaled boundary FEM [5,6,7,8,9,10]. Buchanan used FEM to study the free vibrations of infinite magnetoelectroelastic cylinders [15] These FEMs overestimated the stiffness of solid structures and were limited by low accuracy. Sladek et al proposed a mesh-free method to more accurately study the static behavior of a circular FGMEE plate [16], but this method reduced the computational effectiveness. By incorporating the nonlocal theory into scaled boundary FEM, Ke and Wang more accurately and effectively studied the free vibrations of MEE beams [18].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
