A multi-physics coupling cell-based smoothed finite element micromechanical model for the transient response of magneto-electro-elastic structures with the asymptotic homogenization method

Zhou, Liming; Tang, Jinghao; Tian, Weijun; Xue, Bing; Li, Xiaoying

doi:10.1016/j.tws.2021.107991

Cited by 12 publications

(2 citation statements)

References 71 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Later on, the combination of strain/gradient smoothing and FEM is named smoothed FEM (SFEM). 54 SFEMs can be classified into different types based on the distinct constructions of SDs, for example, cell-based SFEM (CS-FEM), [58][59][60][61][62][63][64][65][66][67][68][69][70][71][72] node-based SFEM (NS-FEM), [73][74][75][76][77][78][79][80][81] edge-based SFEM (ES-FEM), [82][83][84][85][86][87][88][89] face-based SFEM, [88][89][90][91] 𝛼FEM, [92][93][94] 𝛽FEM, 95,96 and selective SFEM. [97][98][99][100] Different constructions of SDs lead to different extents of softening.…”

Section: Introductionmentioning

confidence: 99%

Preconditioned smoothed numerical manifold methods with unfitted meshes

Liu,

Guan,

Tong

et al. 2023

Numerical Meth Engineering

View full text Add to dashboard Cite

The numerical manifold method (NMM) has been widely utilized to solve problems involving complicated boundaries, cracks, and interfaces. Recently, strain or gradient smoothing techniques have been incorporated into NMM to improve its performance. The resulting smoothed NMMs (SNMMs) normally possess enhanced numerical properties, for example, higher accuracy, convergence, and efficiency. A challenging issue rooted in NMM and other enhanced finite element methods using unfitted meshes is the ill‐conditioning induced by extremely small cut element. In this study, we investigate the behaviors of SNMMs in the case of small cut element. It is demonstrated that the cut‐induced ill‐conditionings also exist for two types of SNMMs, namely, edge‐based SNMM and physical‐patch‐based SNMM. Furthermore, a preconditioner based on the normalization of basis functions is proposed to resolve the ill‐conditioning. Several benchmark problems demonstrate the performances of SNMMs regarding accuracy, convergence, and stability.

show abstract

Section: Introductionmentioning

confidence: 99%

Preconditioned smoothed numerical manifold methods with unfitted meshes

Liu,

Guan,

Tong

et al. 2023

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…With the asymptotic homogenization method, Sixto-Camacho et al [ 15 ] developed the formal asymptotic solution for the linear magneto-electro-thermo-elastic field of heterogeneous media. Combining the asymptotic homogenization method and the cell-based smoothed finite element method, Zhou et al [ 16 ] established a multi-physics coupling model for an MEE structure and the transient responses under dynamic loads were investigated. Different from those focusing on the multi-physical field, Chaki and Bravo-Castillero [ 17 ] studied wave propagation in an MEE laminated structure via dynamic asymptotic homogenization.…”

Section: Introductionmentioning

confidence: 99%

Thermal Contact Response of a Transversely Isotropic Magneto-Electro-Elastic Coating

Li,

Xiong,

Zhou

et al. 2023

Materials

View full text Add to dashboard Cite

The magneto-electro-elastic (MEE) medium is a typical intelligent material with promising application prospects in sensors and transducers, whose thermal contact response is responsible for their sensitivity and stability. An effective thermal contact model between a moving sphere and a coated MEE medium with transverse isotropy is established via a semi-analytical method (SAM) to explore its thermal contact response. First, a group of frequency response functions for the magneto-electro-thermo-elastic field of a coated medium are derived, assuming that the coating is perfectly bonded to the substrate. Then, with the aid of the discrete convolution–fast Fourier transform algorithm and conjugate gradient method, the contact pressure and heat flux can be determined. Subsequently, the induced elastic, thermal, electric and magnetic fields in the coating and substrate can be obtained via influence coefficients relating the induced field and external loads. With the proposed method, parametric studies on the influence of the sliding velocity and coating property are conducted to investigate the thermal contact behavior and resulting field responses of the MEE material. The sliding velocity and thermal properties of the coating have a significant effect on the thermal contact response of the MEE material; the coupled multi-field response can be controlled by changing the coating thickness between ~0.1 a0 and a0.

show abstract

Dynamic Behaviors of Thermal–Electric Imperfect Functionally Graded Piezoelectric Sandwich Microplates Based on Modified Couple Stress Theory

Fan

Hao

et al. 2022

J. Vib. Eng. Technol.

View full text Add to dashboard Cite

A multi-physics coupling cell-based smoothed finite element micromechanical model for the transient response of magneto-electro-elastic structures with the asymptotic homogenization method

Cited by 12 publications

References 71 publications

Preconditioned smoothed numerical manifold methods with unfitted meshes

Preconditioned smoothed numerical manifold methods with unfitted meshes

Thermal Contact Response of a Transversely Isotropic Magneto-Electro-Elastic Coating

Dynamic Behaviors of Thermal–Electric Imperfect Functionally Graded Piezoelectric Sandwich Microplates Based on Modified Couple Stress Theory

Contact Info

Product

Resources

About