The magneto-electro-elastic multi-physics coupling element free Galerkin method for smart structures in statics and dynamics problems

Zhou, Liming; Wang, Jiye; Li, Xiaolin; Liu, Changyi; Liu, Peng; Ren, Shuhui; Li, Ming

doi:10.1016/j.tws.2021.108431

Cited by 19 publications

(2 citation statements)

References 65 publications

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“…In practical engineering applications, the geometries of the involved MEE structures are usually quite complicated. In these cases, the corresponding exact/analytical solutions are usually not available and we have to resort to the numerical approaches [13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of the three-phase magneto-electro-elastic (MEE) structures with the finite element method enriched by proper enrichment functions

Chai,

Huang,

Wang

et al. 2024

Smart Mater. Struct.

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In this work, a carefully designed enriched finite element method (EFEM) is presented to improve the solution accuracy of the conventional FEM in analyzing the dynamic behaviors of the magnetic-electric-elastic (MEE) composite structures which are frequently used in designing various smart and intelligent devices. In formulating the proper EFEM with ideal numerical performance, different enrichment functions are considered and the corresponding solution quality of different versions of the EFEM are compared and examined in great detail. When the Lagrange polynomial basis functions together with the harmonic trigonometric functions are used as the enrichment functions, the obtained EFEM shows extremely powerful and ideal numerical performance, which are obviously better than the other versions of EFEM and the conventional FEM, in studying the free vibration and harmonic frequency responses of the MEE structures. The nearly exact numerical solutions for three-phase physical fields of MEE structures can be generated by the proposed EFEM even if very coarse mesh patterns are used. Intensive numerical studies are conducted to confirm and verify the excellent properties of the proposed EFEM in performing dynamic analysis of the MEE structures.

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Section: Introductionmentioning

confidence: 99%

Dynamic analysis of the three-phase magneto-electro-elastic (MEE) structures with the finite element method enriched by proper enrichment functions

Chai,

Huang,

Wang

et al. 2024

Smart Mater. Struct.

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“…28–30 Zhao et al 31 predicted the nonlinear response of multiphase MEE plates reinforced with CNTs. Zhou et al 32 proposed an element-free Galerkin method to investigate the MEE structural problems. Quang et al 33 presented an analytical model to assess the static buckling of MEE sandwich structure subjected to Multi-physics loads.…”

Section: Introductionmentioning

confidence: 99%

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

Mahesh

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This work presents a detailed investigation of the effect of auxeticity synergised with the pyro-coupling behaviour of multiphase magneto-electro-elastic (M-MEE) composites using a finite element (FE) framework. The nonlinear deflection and bending problems of sandwich plates with auxetic core and M-MEE skins subjected to multi-physics load (electric, magnetic and thermal) are probed. The plate kinematics is governed by Reddy’s higher-order shear deformation theory (HSDT). The nonlinear relation between the strains and displacements is established through von-Karman’s nonlinear relations. The temperature profiles are considered linearly and nonlinearly varying across the thickness of the plate. Various parametric studies presented in this article highlight the influence of the auxetic cell inclination angle, rib-length ratio, rib thickness, the plate-to-core ratio etc., associated with the pyro-coupling on the nonlinear deflection and bending of sandwich plates. The results reveal that the plate deflection, bending behaviour and degree of pyro-coupling significantly depend on the auxetic unit cell dimensions and magnitude of electro-magnetic loads. The significant influence of temperature profiles on the pyro-coupling are witnessed at lower auxetic cell angle. The nonlinear deflections of the sandwich plate and hence the potentials developed tend to improve with the lower values of plate-to-core ratio and rib thickness. The prominent outcomes of this work related to integrated effects of auxeticity and pyro-coupling are not yet reported in the open literature and are deemed to be utilised as a future reference.

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A Galerkin meshless framework for static and vibration analysis of magneto-electro-elastic structures in hygrothermal environment

Jiang,

Gao,

Liu

2024

Engineering with Computers

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The magneto-electro-elastic multi-physics coupling element free Galerkin method for smart structures in statics and dynamics problems

Cited by 19 publications

References 65 publications

Dynamic analysis of the three-phase magneto-electro-elastic (MEE) structures with the finite element method enriched by proper enrichment functions

Dynamic analysis of the three-phase magneto-electro-elastic (MEE) structures with the finite element method enriched by proper enrichment functions

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

A Galerkin meshless framework for static and vibration analysis of magneto-electro-elastic structures in hygrothermal environment

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