• 제목/요약/키워드: Volume Relaxation

검색결과 114건 처리시간 0.028초

Free Volume in polymers. Note I。 : Theoretical background

  • Consolati, G.;Pegoraro, M.;Zanderighi, L.
    • Korean Membrane Journal
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    • 제1권1호
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    • pp.8-24
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    • 1999
  • free volume in polymers is defined as the difference of the specific volume and the volume which is not available for the particular molecular motion which is responsible or the process that is considered . Relations between free volume and viscosity free volume and diffusion coefficient are pre-sented both in the case of simple low molecular weight liquids and in the case of polymers. Molecular models and free volume models are reminded starting from the equilibrium state equation of Simha and Somcynski. The non equilibrium situations of specific volume of glass polymers below Tg are shown introducing different relaxation volume equations which involve different material's parameters and con-cept of the fictitious temperature. The diffusivity equations of Vrentas and Duda are introduced both for the glassy and rubbery states. The possibility of introducing time relaxation functions is also suggested. The importance of finding experimental evidences of the free volume is stressed. highlights of the free volume measurement methods are given in particular as to dilatometry photocromy fluorescence electron spin resonance small angle X-ray scattering positron annihilation spectroscopy.

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A Study on the Prediction of Thermally-Induced Residual Stress and Birefringence in Quenched Polystyrene Plate Including Free Volume Theory (자유 체적이론을 고려한 급냉 폴리스티렌판에 발생하는 잔류응력과 복굴절 형성에 관한 연구)

  • Kim, Jong-Sun;Yoon, Kyung-Hwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • 제27권1호
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    • pp.77-87
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    • 2003
  • The residual stress and birefringence in injection-molded plastic parts can be divided into the flow-induced residual stress and birefringence produced in flowing stage, the thermally-induced residual stress and birefringence produced in cooling stage. However, the physics involved in the generation of the thermally-induced residual stress and birefringence still remains to be understood. Because polymer experiences viscoelastic history near the glass-transition temperature it is hard to model the entire process. Volume relaxation phenomenon was included to predict the final thermally-induced residual stress and birefringence in quenched plastic parts more accurately. The present study focused on comparing the predicted values far thermally-induced residual stress and birefringence with and without volume relaxation behavior (or free volume theory) under free and constrained quenching conditions. As a result, tile residual stress remained as a tensile stress at the center and as a compressible stress near the surface for the free quenching cases. In contract the residual stress remained as a compressible stress at the center and as a tensile stress near the surface fur the constrained quenching cases. The residual birefringence remained as minus values at the center and as plus values near the surface for the free quenching cases. Interestingly the residual birefringence showed minus values in entire zone for the constrained quenching cases. In the prediction of birefringence only the case including free volume theory showed the correct result for the distribution of birefringence in thickness direction.

Study of Dynamics of Allyl Chloride-2-Butanone Binary System Using Time Domain Reflectometry

  • Sudake, Y.S.;Kamble, S.P.;Patil, S.S.;Khirade, P.W.;Mehrotra, S.C.
    • Journal of the Korean Chemical Society
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    • 제56권1호
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    • pp.20-27
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    • 2012
  • Complex permittivity spectra of Allyl Chloride (AC), 2-Butanone (2-BU) and their binary mixtures over the entire range of concentration were obtained using the Time Domain Reflectometry (TDR) technique in microwave frequency range at various temperatures. Static dielectric constant and relaxation time are obtained from complex permittivity spectra. Density ($\rho$) and refractive index ($n_D$) are also measured. These parameters are used to determine excess dielectric constant, excess inverse relaxation time, excess molar volume, excess molar refraction, polarity, Bruggeman factor and thermodynamic parameters viz. enthalpy of activation and entropy of activation. The values of static dielectric constant and relaxation time increases while density and refractive index decreases with the percentage of 2-Butanone in Allyl Chloride increases. Excess parameters were fitted to a Redlich-Kister equation.

Thermomechanical deformation in porous generalized thermoelastic body with variable material properties

  • Kumar, Rajneesh;Devi, Savita
    • Structural Engineering and Mechanics
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    • 제34권3호
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    • pp.285-300
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    • 2010
  • The two-dimensional deformation of a homogeneous, isotropic thermoelastic half-space with voids with variable modulus of elasticity and thermal conductivity subjected to thermomechanical boundary conditions has been investigated. The formulation is applied to the coupled theory(CT) as well as generalized theories: Lord and Shulman theory with one relaxation time(LS), Green and Lindsay theory with two relaxation times(GL) Chandrasekharaiah and Tzou theory with dual phase lag(C-T) of thermoelasticity. The Laplace and Fourier transforms techniques are used to solve the problem. As an application, concentrated/uniformly distributed mechanical or thermal sources have been considered to illustrate the utility of the approach. The integral transforms have been inverted by using a numerical inversion technique to obtain the components of displacement, stress, changes in volume fraction field and temperature distribution in the physical domain. The effect of dependence of modulus of elasticity on the components of stress, changes in volume fraction field and temperature distribution are illustrated graphically for a specific model. Different special cases are also deduced.

Ultrasonic Absorption Measurements of Bovine Serum Albumin Solutions in the Frequency Range 200 kHz to 3 MHz (주파수 200 kHz-3 MHz영역에 대한 알부민용액의 초음파 흡수측정)

  • Bae, Jong-Rim
    • The Journal of the Acoustical Society of Korea
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    • 제25권1E호
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    • pp.14-19
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    • 2006
  • Ultrasonic absorption and velocity spectra in bovine serum albumin (BSA) aqueous solutions have been measured at $20^{\circ}C$ over the frequency range 0.2-3 MHz in the pH range 1.5-13.2. The high-Q ultrasonic resonator and pulse-echo overlap methods were used. At acid pH's, excess absorption over that of pH 7 was explained by double relaxation. The pH dependences of the relaxation frequency and maximum absorption per wavelength, showed that the relaxation at about 200 kHz was related to the expansion of molecules and that about 3 MHz resulted from the proton transfer reaction of carboxyl group. At alkaline pH's, the excess absorption was explained by double relaxation. The relaxation at about 300 kHz was associated with a helix-coil transition, and that about 3 MHz was attributed to the proton transfer reaction of phenolic group. The rate constants and volume changes associated with these processes were estimated.

Thermodynamic Properties and Self Diffusions from Rheological Parameters of Eyring-Halsey Model (Eyring-Halsey 모델의 유동파라메타로부터 열역학 성질과 자체 확산)

  • Kim, Nam Jeong
    • Journal of the Korean Chemical Society
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    • 제58권3호
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    • pp.251-257
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    • 2014
  • The stress relaxation of poly(methyl acrylate)-poly(acrylonitrile) copolymer samples were carried out in air and distilled water at various temperatures using the tensile tester with the solvent chamber. The rheological parameters were obtained by applying the experimental stress relaxation curves to the theoretical equation of the Eyring-Halsey non-Newtonian model. The self diffusion, hole volume, viscosities, and thermodynamic parameters of copolymer samples were calculated from rheological parameters and crystallite size in order to study of flow segments in amorphous region. It was observed that the rheological parameters of these copolymer samples are directly related to the self diffusion, hole volume, viscosities, and thermodynamic parameters of flow segments.

A Study on the High Temperature Deformation and the Cavity Initiation of Gamma TiAl Alloy ($\gamma$-TiAl 합금의 고온변형 및 Cavity 형성 연구)

  • Kim J. H.;Ha T. K.;Chang Y. W.;Lee C. S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 한국소성가공학회 2001년도 춘계학술대회 논문집
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    • pp.172-175
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    • 2001
  • The high temperature deformation behavior of two-phase gamma TiAl alloy has been investigated with the variation of temperature and ${\gamma}/{\alpha}_2$ volume fraction. For this purpose, a series of load relaxation tests and tensile tests have been conducted at temperature ranging from 800 to $1050^{\circ}C$. In the early stage of the deformation as in the load relaxation test experimental flow curves of the fine-grained TiAl alloy are well fitted with the combined curves of two processes (grain matrix deformation and dislocation climb) in the inelastic deformation theory. The evidence of grain boundary sliding has not been observed at this stage. However, when the amount of deformation is large (${\epsilon}{\approx}$ 0.8), flow curves significantly changes its shape indicating that grain boundary sliding also operates at this stage, which has been attributed to the occurrence of dynamic recrystallization during the deformation. With the increase in the volume fraction of ${\alpha}_2$-phase, the flow stress for grain matrix deformation increases since ${\alpha}_2$-Phase is considered as hard phase acting as barrier for dislocation movement. It is considered that cavity initiation is more probable to occur at ${\alpha}_2/{\gamma}$ interface rather than at ${\gamma}/{\gamma}$ interface.

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Self Diffusions and Rheological Properties of Polyamide Polymer Materials in Various Solvents (용매 환경에서의 폴리아미드 고분자 재료의 자체확산과 유변학적인 특성)

  • Kim, Nam Jeong
    • Journal of the Korean Applied Science and Technology
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    • 제36권4호
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    • pp.1050-1059
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    • 2019
  • The self diffusion, hole volume, and flow thermodynamic parameters of polyamide fibers were calculated from rheological parameters and crystallite size in order to study of flow segments in amorphous region. The stress relaxation of polyamide filament fibers were carried out in air and various solvents at various temperatures using the tensile tester with the solvent chamber. The rheological parameters were obtained by applying the experimental stress relaxation curves to the theoretical equation of the Ree-Eyring and Maxwell non-Newtonian model. It was observed that the rheological parameters of these polyamide filament fibers are directly related to the relaxation spectra, self diffusion, viscosities, and activation energies of flow segments.

Changes of Flame Retardant and Physical Properties of Cotton Knitted Fabrics after Flame Resistant Treatment (면편성물의 방염처리에 의한 방염성과 물성변화)

  • Jee, Ju-Won;Song, Kyung-Geun
    • Fashion & Textile Research Journal
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    • 제5권3호
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    • pp.273-282
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    • 2003
  • Effect of fixation methods and relaxation treatment on the flame retardant(FR) and physical properties of MDPP/HMM treated cotton weft-knitted fabrics were studied. Combination of four different fixation methods - relaxation, swelling agent treatment, pad dry cure fixation, and wet fixation - were applied to flame retardant finish of cotton weft-knitted fabric with MDPP/HMM. As the results, 1. Swelling agent and wet fixation method helps FR agent penetrate the fiber efficiently. Interlock showed relatively higher values of LOI than single jersey. 2. Interlock showed relatively higher values of bending rigidity(B), shear rigidity(G) and coefficient of friction(MIU) than those of single jersey before and after flame resistant treatment. 3. An increase in internal volume of cotton fiber by relaxation treatment increased the bending rigidity(B), shear rigidity(G) and compressional energy(WC). 4. The cotton weft-knitted fabric treated wet fixation, which crossliked FR agent efficiently, showed higher bending rigidity, shear rigidity(G) and lower compressional energy(WC). Retention of swelling ability of cotton weft-knitted fabrics treated with MDPP/HMM, which increased the internal volume of cotton weft-knitted fabric, showed lower bending rigidity.

Numerical Analysis for Two-Dimensional Compressible and Two-Phase Flow Fields of Air-Water in Eulerian Grid Framework (2차원 압축공기-물의 압축성 이상 유동 수치 해석)

  • Park, Chan-Wook;Lee, Sung-Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • 제32권6호
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    • pp.429-445
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    • 2008
  • Two-phase compressible flow fields of air-water are investigated numerically in the fixed Eulerian grid framework. The phase interface is captured via volume fractions of each phase. A way to model two phase compressible flows as a single phase one is found based on an equivalent equation of states of Tait's type for a multiphase cell. The equivalent single phase field is discretized using the Roe‘s approximate Riemann solver. Two approaches are tried to suppress the pressure oscillation phenomena at the phase interface, a passive advection of volume fraction and a direct pressure relaxation with the compressible form of volume fraction equation. The direct pressure equalizing method suppresses pressure oscillation successfully and generates sharp discontinuities, transmitting and reflecting acoustic waves naturally at the phase interface. In discretizing the compressible form of volume fraction equation, phase interfaces are geometrically reconstructed to minimize the numerical diffusion of volume fraction and relevant variables. The motion of a projectile in a water-filled tube which is fired by the release of highly pressurized air is simulated presuming the flow field as a two dimensional one, and several design factors affecting the projectile movement are investigated.