Nonlinear mechanics of a thin-walled honeycomb with zero Poisson’s ratio

Song, Leipeng; Yin, Zhi-yong; Wang, Tao Xi; Shen, Xing; Wu, Jiang-hai; Su, Mingzhu; Wang, Hongjie

doi:10.1080/15397734.2021.1987262

Cited by 7 publications

(3 citation statements)

References 31 publications

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“…At present, some progress has been made in the research of geometric nonlinear internal forces of structures on single or connected members [50][51][52][53]. However, the equivalent internal force of geometric nonlinear modeling of zero Poisson's ratio dielectric layer is still unknown.…”

Section: Iterative Solution Of Equivalent Internal Force Of Structurementioning

confidence: 99%

“…For geometric nonlinear large deformation, it is still rare to figure out how to analyze the deformation mechanism of a cell structure from stress to considering nonlinear deformation factors [50]. At present, the focus of geometric nonlinear large deformation research is mostly focused on a single member or an assembly composed of multiple members [51][52][53], and there is almost no detailed analysis on the nonlinear calculation of the overall structure. The geometric nonlinear analysis process of the structure needs to be improved.…”

Section: Introductionmentioning

confidence: 99%

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Geometric nonlinear analysis of dielectric layer based on concave paper-cut structure with zero Poisson’s ratio

Tian

Wei

Zhang

et al. 2023

Smart Mater. Struct.

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When the sensor works in a limited environment, its accuracy is easily affected by unnecessary strain loss. The key to improve accuracy is to reduce the transverse strain of the dielectric layer structure. It is an innovative technology to construct zero Poisson's ratio dielectric layer to limit the lateral strain of dielectric layer under normal pressure. The porous metamaterial dielectric layer with zero Poisson's ratio is constructed based on the paper-cutting theory. The equivalent nonlinear mechanical model is established by use of Bernoulli Euler beam theory and energy method. The analytical expressions of equivalent Poisson's ratio and equivalent Young’s modulus are given, and the necessity of considering geometric nonlinear large deformation is revealed. An improved variable step iterative method is proposed in order to solve the problem of equivalent internal force analysis caused by geometric deformation nonlinearity. The key of this method is to determine the displacement at the free end under the premise of considering the nonlinear superposition of the rigid body motion of the curved bar of the metamaterial. Based on the equivalent nonlinear mechanical model, the structural deformation characteristics of the dielectric layer structure in the linear small deformation stage and the nonlinear large deformation stage are analyzed. The results of theoretical, finite element simulation and experimental research reveal the necessity of considering geometric nonlinear factors in the practical application of the structure, which means that the foundation is theoretically and experimentally laid for the design of porous elastic dielectric layer of flexible capacitive pressure sensor.

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Section: Iterative Solution Of Equivalent Internal Force Of Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Geometric nonlinear analysis of dielectric layer based on concave paper-cut structure with zero Poisson’s ratio

Tian

Wei

Zhang

et al. 2023

Smart Mater. Struct.

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“…Due to their diverse properties, metamaterials are used in many fields such as civil engineering 12 , aerospace engineering 13 , mechanical engineering 14 , vehicle engineering 15 , acoustics 16 , optics 17 , etc. The most classical of the extraordinary properties of metamaterials are the negative Poisson's ratio effect [18][19][20] and the zero Poisson's ratio effect [21][22][23] . Compared with conventional honeycomb structures, honeycomb structures with negative Poisson's ratio effect have more excellent mechanical properties and show good prospects for applications in the automotive and aerospace fields.…”

mentioning

confidence: 99%

A concave four-arc honeycomb with enhanced stiffness and desirable negative Poisson’s effect

Feng,

Tie,

Guo

et al. 2023

Sci Rep

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The conventional star-shaped honeycomb (CSSH) structure is inherently rich in mechanical properties. Based on the CSSH structure, the Poisson's ratio and Young’s modulus can be improved by adding the tip re-entrant angle (ISSH). In this paper, a new concave four-arc honeycomb (CFAH) structure is proposed by designing the straight rod as a curved rod and retaining the tip re-entrant angle from the ISSH structure. The Young's modulus, specific stiffness and Poisson’s ratio of CFAH structures are derived from Castigliano’s second theorem and Moore’s theorem. The theoretical results show good agreement with the numerical and experimental results. The results show that the normalized effective specific stiffness and normalized effective Young’s modulus of the CFAH structure are further improved by about 12.95% and 16.86%, respectively, compared with the ISSH structure, and more significant auxiliary effects are obtained. CFAH structures show good promise in aerospace, construction and other applications due to their enhanced mechanical property. Meanwhile, the present work provides guidance for the study of concave four-arc honeycomb structures.

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Free Vibrational Characteristics of Sandwich Cylindrical Shells Containing a Zero Poisson's Ratio Cellular Core

Song

Wang

Yin

et al. 2023

J. Vib. Eng. Technol.

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Nonlinear mechanics of a thin-walled honeycomb with zero Poisson’s ratio

Cited by 7 publications

References 31 publications

Geometric nonlinear analysis of dielectric layer based on concave paper-cut structure with zero Poisson’s ratio

Geometric nonlinear analysis of dielectric layer based on concave paper-cut structure with zero Poisson’s ratio

A concave four-arc honeycomb with enhanced stiffness and desirable negative Poisson’s effect

Free Vibrational Characteristics of Sandwich Cylindrical Shells Containing a Zero Poisson's Ratio Cellular Core

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