A pressure-dependent phenomenological constitutive model for transversely isotropic foams

Su, Buyun; Zhou, Zhiwei; Xiao, Gesheng; Wang, Zhi Hua; Shu, Xuefeng; Li, Zhiqiang

doi:10.1016/j.ijmecsci.2016.12.004

Cited by 23 publications

(10 citation statements)

References 35 publications

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“…Before concluding, it should be noted that the open-cell Kelvin structure, as a typical form of cellular material, are widely used as ultralight structural component, [39] bone substituting biomaterial [40] and catalytic substrate. [41] However, the researches in this field mainly focus on its anisotropic form [36] and uniaxial loading.…”

Section: Discussionmentioning

confidence: 99%

“…Although 3D models can realize more special properties and can be more easily used in practical applications than 2D mechanisms, so far there have existed only a few studies about extending the negative compressibility to 3D space and a few methods to be proposed to build 3D models with negative compressibility. The study about the 3D models with negative compressibility was relatively rare in previous research though it is significant, in this study, we propose a new 3D cellular structure based on the hinging open-cell Kelvin structure, [36][37][38][39][40][41][42][43] which is a typical form of cellular material and extensively used in diverse industrial, biomedical and chemical applications. Specifically, the expressions of Young's moduli and the Poisson's ratios as well as compressibility are given and discussed.…”

Section: Introductionmentioning

confidence: 99%

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Negative compressibility property in hinging open-cell Kelvin structure*

Ma¹,

Zhou²,

Wang³

2021

Chinese Phys. B

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A new three-dimensional (3D) cellular model based on hinging open-cell Kelvin structure is proposed for its negative compressibility property. It is shown that this model has adjustable compressibility and does exhibit negative compressibility for some certain conformations. And further study shows that the images of compressibility are symmetrical about the certain lines, which indicates that the mechanical properties of the model in the three axial directions are interchangeable and the model itself has a certain geometric symmetry. A comparison of the Kelvin model with its anisotropic form with the dodecahedron model shows that the Kelvin model has stronger negative compressibility property in all three directions. Therefore, a new and potential method to improve negative compressibility property can be derived by selecting the system type with lower symmetry and increasing the number of geometric parameters.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Negative compressibility property in hinging open-cell Kelvin structure*

Ma¹,

Zhou²,

Wang³

2021

Chinese Phys. B

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“…As the adapter's deformation and stress analytical research is based on the study on sponge cylinder and the rubber cylinder, many studies have been conducted in recent years. The modeling of mechanical characteristics of sponge material is studied by Koohbor B et al [5][6][7] and is verified with experiments. Liang et al [8] simulate the damping performance of the sponge components using the neural network theory.…”

Section: Introductionmentioning

confidence: 94%

Study on the Deformation and Stress Analysis of the Sponge/Rubber Adapter

Zhong

Ren

2018

Mathematical Problems in Engineering

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The analysis of adaptors' deformation and stress is an important prerequisite for the design of the adapters. This paper proposed the mathematical description and analytical method for the sponge cylinder and rubber cylinder under pressure. The analytical formulas on deformation and stress of interference fit between adapters and launchers are deduced. Also, the correctness of the analytical formula is verified by numerical simulation. Furthermore, the effect of precompression and the sponge's thickness ratio on adapter's deformation and stress is studied. The following results can be concluded: the results of numerical simulation are basically consistent with that of analytical formula. After installing the adapter into the launcher, the rubber layer will move inward as a whole, then the sponge layer and the rubber layer are subjected to radial and tangential compressive stress. When the precompression is smaller than 0.0075 or larger than 0.0015, the deformation and stress of adapter are approximately in proportion to precompression. If the precompression keeps constant, the deformation and stress of adapter will have extremum when the thickness ratio of sponge equals to a certain value.

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“…At present, there is a sufficient number of refined theories of shells, plates and rods capable of counting the effects of transverse shear and crimping, which allow to obtain the distribution of contact stresses without physical correspondences (Yasnii et al, 2016;Avramov et al, 2015;Shengshan et al, 2020;Su et al, 2017). However, the analysis of the existing non-classical theories of shells and plates shows that in most of them the main attention is paid to the study of the effects of transverse shear (Zubko et al, 2001;Avramov et al, 2015;Su et al, 2017. There are also models that pay heed to transverse compression, in particular (Shengshan et al, 2020;Zhong et al, 2017;Tsyss et al, 2016). However, the latter are basically not suitable for solving the contact problems of bending packages of the transversely isotropic plates.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Here, the problem of determining contact stresses is reduced to the solution of differential equations. Such an approach was implemented in (Yasnii et al, 2016;Shengshan et al, 2020;Su et al, 2017), where in the case of plates with the same mechanical and geometric parameters in the absence of frictional forces on the surfaces of the part, a general analytical solution of the system of differential equations and dependencies for contact stresses in packages with an arbitrary number of plates was obtained.…”

Section: Literature Reviewmentioning

confidence: 99%

Mathematical modeling of the stress-strain state of the annular preventer seal using the theory of reinforced shells

Grydzhuk

Chudyk

Slabyi

et al. 2022

Production Engineering Archives

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Management of wells in the process of their construction is one of the important factors in ensuring the safety of the technological process. Blowout equipment, which includes annular preventers, is used to control the wells. This applies to the construction of oil and gas wells, or wells that provide degassing of coal seams to reduce their gas-dynamic activity. For the purpose of safe and long-term operation of annular preventers on the basis of the theory of thick-walled combined reinforced shells and the carried-out analytical research, the mathematical model for research of a stress-strain condition of a seal of an annular preventer has been offered. Taking into consideration the real design, the seal of the annular preventer is modeled by a rubber shell, reinforced in the circular direction by rubber frames, and in the longitudinal direction by metal stringers. The mathematical model provides for determining the stiffness, internal force factors and stresses in the longitudinal and transverse sections of the combined rubber-metal seal, considering the peculiarities of its operation. At the same time, the model includes the conditions of interaction of the rubber base of the seal with a pipe, as well as the action of sealing pressure under operating conditions. The use of the proposed mathematical model reduces the costs of experimental research and will contribute to ensuring the reliability of simulation modeling results. The advantage of the method is the determination of calculated loads at different points of the combined seal under the existing state of dangerous zones and the influence of operating conditions. In the meantime, prerequisites have been created for expanding the possibilities of simulation modeling and designing structural elements of annular preventers with increased operational characteristics. The practical value of the obtained results is determined by the possibility of using them to ensure the performance of the rubber-metal seal both at the stage of its design and during the operation.

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A pressure-dependent phenomenological constitutive model for transversely isotropic foams

Cited by 23 publications

References 35 publications

Negative compressibility property in hinging open-cell Kelvin structure*

Negative compressibility property in hinging open-cell Kelvin structure*

Study on the Deformation and Stress Analysis of the Sponge/Rubber Adapter

Mathematical modeling of the stress-strain state of the annular preventer seal using the theory of reinforced shells

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