The Grüneisen parameter and Poisson coefficient for glassy organic polymers and inorganic glasses

Сандитов, Б. Д.; Цыдыпов, Ш. Б.; Сандитов, Д. С.; Mantatov, V. V.

doi:10.1134/s1560090406070062

Cited by 7 publications

(7 citation statements)

References 2 publications

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“…Therefore, we consider that for the above-enumerated glasses, γ L is calculated from the Leont'ev formula (3). It is interesting to note that for sodium-and potassium-silicate glasses, all data lie on one straight line ( Fig.…”

Section: Comparison With Experiment Discussion Of Resultsmentioning

confidence: 99%

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Grüneisen parameter and elastic constants of crystals and vitreous bodies

et al. 2009

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The squared ratio of the root-mean-square sound velocity to the velocity of transverse acoustic waves has a meaning of the average dimension of localization regions of energy accumulated by a deformable body. The Grüneisen parameter of solid bodies with identical values of this dimension depends linearly on the parameter γ 3 being an unambiguous function of the Poisson coefficient. Solid bodies are grouped according to values of the average dimension of energy localization regions. The Belomestnykh-Tesleva formula relating the Grüneisen parameter to the Poisson coefficient follows from the suggested approach. The nature of the interrelation between these quantities is discussed.

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Section: Comparison With Experiment Discussion Of Resultsmentioning

confidence: 99%

“…Calculations by Eq. (1) yielded quite reasonable results for vitreous systems [3]. Thermodynamic generalization of the concept of the Grüneisen parameter has been suggested recently in [2].…”

Section: Introductionmentioning

confidence: 91%

Grüneisen parameter and elastic constants of crystals and vitreous bodies

et al. 2009

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“…The mechanical characteristics of such structures can be calculated using the method described by Gibson and Ashby [ 25 ].…”

Section: Introductionmentioning

confidence: 99%

“…The stress state and deformation parameters for hollow fiber membranes (polymeric) could be obtained using the following data: The selective layer on the inner or outer surface of the fiber; The initial gas mixture which is fed into or outside the fiber; Inner diameter

= 100 microns; Selective layer thickness δ = 100 nm; Membrane material: Ultrason E6020P (PES); Young’s modulus for the selective layer and the porous substrate layer:

, respectively; Poisson’s ratio for both layers equal to 0.35 [ 25 ]. …”

Section: Introductionmentioning

confidence: 99%

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Physical and Mechanical Properties of Hollow Fiber Membranes and Technological Parameters of the Gas Separation Process

2021

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The porous layer of composite and asymmetric hollow fiber membranes acts as a support and is exposed to strong mechanical stresses. The effect of external pressure on the polymer structure and, as a consequence, the separation characteristics of the membrane remains unsolved. Based on the solution of the Lamé approach to the calculation of the stress state of a hollow cylinder, a method of calculation was proposed for hollow fiber membranes. Calculations were based on the approximation of the isotropic nature of the physical and mechanical characteristics of the selective layer and substrate. Permissible deformation of the membrane’s selective layer was determined from the linear sector of strain-on-stress dependence, where Hooke’s law was performed. For these calculations, commercial polyethersulfone membranes were chosen with an inner and/or outer selective layer and with the following values of Young’s modulus of 2650 and 72 MPa for the selective and porous layers, respectively. The results obtained indicate that the dependence of the maximum allowable operating pressure on the substrate thickness asymptotically trends to a certain maximum value for a given membrane. Presented data showed that membranes with outer selective layer can be operated at higher working pressure. Optimal parameters for hollow fiber gas separation membrane systems should be realized, solving the optimization problem and taking into account the influence of operating, physicochemical and physicomechanical parameters on each other.

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