A valid inhomogeneous cell-based smoothed finite element model for the transient characteristics of functionally graded magneto-electro-elastic structures

作者：Zhou, Liming; Ren, Shuhui; Liu, Changyi; Ma, Zhichao^*

来源：Composite Structures, 2019, 208: 298-313.

DOI：10.1016/j.compstruct.2018.09.074

• Inhomogeneous cell-based smoothed finite element method
• Modified Newmark method
• Functionally graded magneto-electro-elastic material
• Transient response

For the sake of surmounting defect of over-stiffness of finite element model (FEM) and accurately solving the transient response problems of structures comprise functionally graded magneto-electro-elastic (FGMEE) materials, we put forward an inhomogeneous cell-based smoothed finite element model (ICS-FEM) and a modified Newmark method. By employing the inhomogeneous gradient smoothing technique into FEM, the mass matrix M and the equivalent stiffness matrix K(eq )are derived, ICS-FEM that provides a stiffness coinciding with the actual condition is also obtained. Moreover, this model can be carried out with user-defined subroutines in the existing FEM software. Several numerical examples including cantilever beams, a layered FGMEE sensor and an FGMEE energy harvester are analyzed, which prove that ICS-FEM could achieve results with higher accuracy and reliability than FEM. ICS-FEM are applied to more complex structures such as FGMEE layered sensor and energy harvester. Therefore, such method to solve the transient characteristics of FGMEE structures can be a reference for the design of smart structures.

• 出版日期2019-1-15
• 单位吉林大学