On the static analysis of inhomogeneous magneto-electro-elastic plates in thermal environment via element-free Galerkin method

Zhou, Liming; Yang, Hao; Ma, Long; Zhang, Shizhong; Li, Xiaoying; Ren, Shuhui; Li, Ming

doi:10.1016/j.enganabound.2021.11.002

Cited by 17 publications

(2 citation statements)

References 62 publications

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“…The integral is carried out on both sides of the first equation of Equation (1). For the two-dimensional elastic equation, the Gauss divergence theorem is applied [24,25]. The divergence term of the stress tensor can be obtained, and then the first term on the left side is transformed into the linear integral by using the divergence theorem.…”

Section: Theory Of Hybrid Element Solving Elastic Equationmentioning

confidence: 99%

Thermal-Mechanical Coupling Model Based on the Hybrid Finite Element Method for Solving Bipolar the Plate Deformation of Hydrogen Fuel Cells

2022

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New energy is the focus of attention all over the world, and research into new energy can inject new vitality into the industrial system. Hydrogen fuel cells are not only environmentally friendly, but also rich in reserves that can be used as a strategic resource for the entire country. The difficulty lies in the safe design of application equipment and the batch generation and storage of hydrogen. In addition, fuel cells have the disadvantage of a slow start-up. Based on the above problems, this paper proposes a hybrid-element method to solve the thermal-mechanical coupling model of fuel cell plate, which can effectively solve the thermal stress change, temperature field distribution and displacement change of the battery plate when working. Firstly, the hybrid-element algorithm is given for 2D plate deformation. Then, the deformation application of a 3D fuel cell plate is given. The 2D numerical results show that the hybrid finite element method (FEM) is more flexible for realizing the flexible combination of sub-mesh and finite element basis functions, and has a better mesh quality compared to the traditional constant strain triangular element (CST) adaptive FEM and quadrilateral isoparametric element (Q4) adaptive FEM. This method achieves a balance between numerical accuracy and solving efficiency for the multi-porous elastic plate. In addition, a deformation control formula is given which can display the displacement deformation and stress merge to same graph, since it is convenient to quickly compare the regions where the displacement and stress extremum appear. In short, the hybrid finite element method proposed in this paper has good mesh evaluation results, and when the number of discrete elements is equivalent, the hybrid element converges faster and the solution efficiency is higher. This paper also provides a good numerical theory and simulation reference for industrial mechanics and new energy applications.

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Section: Theory Of Hybrid Element Solving Elastic Equationmentioning

confidence: 99%

Thermal-Mechanical Coupling Model Based on the Hybrid Finite Element Method for Solving Bipolar the Plate Deformation of Hydrogen Fuel Cells

2022

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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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Thermal forced vibration of magneto-electro-elastic sandwich plate with penta-graphene core

Dat,

Quan,

Anh

et al. 2024

Acta Mech

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On the static analysis of inhomogeneous magneto-electro-elastic plates in thermal environment via element-free Galerkin method

Cited by 17 publications

References 62 publications

Thermal-Mechanical Coupling Model Based on the Hybrid Finite Element Method for Solving Bipolar the Plate Deformation of Hydrogen Fuel Cells

Thermal-Mechanical Coupling Model Based on the Hybrid Finite Element Method for Solving Bipolar the Plate Deformation of Hydrogen Fuel Cells

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

Thermal forced vibration of magneto-electro-elastic sandwich plate with penta-graphene core

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