• Title/Summary/Keyword: Equilibrium investigation

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Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates

  • Younsi, Abderahman;Tounsi, Abdelouahed;Zaoui, Fatima Zohra;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • v.14 no.6
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    • pp.519-532
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    • 2018
  • In this work, two dimensional (2D) and quasi three-dimensional (quasi-3D) HSDTs are proposed for bending and free vibration investigation of functionally graded (FG) plates using hyperbolic shape function. Unlike the existing HSDT, the proposed theories have a novel displacement field which include undetermined integral terms and contains fewer unknowns. The material properties of the plate is inhomogeneous and are considered to vary continuously in the thickness direction by three different distributions; power-law, exponential and Mori-Tanaka model, in terms of the volume fractions of the constituents. The governing equations which consider the effects of both transverse shear and thickness stretching are determined through the Hamilton's principle. The closed form solutions are deduced by employing Navier method and then fundamental frequencies are obtained by solving the results of eigenvalue problems. In-plane stress components have been determined by the constitutive equations of composite plates. The transverse stress components have been determined by integrating the 3D stress equilibrium equations in the thickness direction of the FG plate. The accuracy of the present formulation is demonstrated by comparisons with the different 2D, 3D and quasi-3D solutions available in the literature.

Aqueous U(VI) removal by green rust and vivianite at phosphate-rich environment

  • Sihn, Youngho;Yoon, In-Ho
    • Membrane and Water Treatment
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    • v.11 no.3
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    • pp.207-215
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    • 2020
  • Vivianite (Fe32+(PO4)2·8H2O) and green rust ([Fe42+Fe23+(OH)-12][SO42-·2H2O]2-), ferrous containing minerals, could remove aqueous U(VI) in 5 min. and the efficiencies of green rust were roughly 2 times higher than that of vivianite. The zeta potential measurement results implies that the better performance of green rust might be attributed to the favorable surface charge toward uranyl phosphate species. The removal behaviors of the minerals were well fitted by pseudo-second order kinetic model (R2 > 0.990) indicating the dominant removal process was chemical adsorption. Effects of Ca2+ and CO32- at pH 7 were examined in terms of removal kinetic and capacity. The kinetic constants of aqueous U(VI) were 8 and 13 times lower (0.492 × 10-3 g/(mg·min); 0.305 × 10-3 g/(mg·min)) compared to the value in the absence of the ions. The thermodynamic equilibrium calculation showed that the stable uranyl species (uranyl tri-carbonate) were newly formed at the condition. Surface investigation on the reacted mineral with uranyl phosphates species were carried out by XPS. Ferrous iron and U(VI) on the green rust surface were completely oxidized and reduced into Fe(III) and U(IV) after 7 d. It suggests that the ferrous minerals can retard U(VI) migration in phosphate-rich groundwater through the adsorption and subsequent reduction processes.

Study on the Qualitative Defects Detection in Composites by Optical Infrared Thermography (적외선 열화상 기술을 이용한 복합재료의 결함 검출 정량화 연구)

  • Park, Hee-Sang;Choi, Man-Yong;Park, Jeong-Hak;Kim, Won-Tae;Choi, Won-Jong
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.2
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    • pp.150-156
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    • 2011
  • In this paper, infrared thermography measurement technique has been used to develop standard measurement technique for nondestructive testing of composite materials which is widely used in aerospace industries. To increase the defect detection rate, the related experiment used the lock-in IR-thermographiy method. Therefore it is of considerable interest in the field of non-destructive testing for fast discontinuity detection by using ultrasonic lock-in infrared thermography. The result also shows that as the investigation period of light source is lengthened according to the thickness of specimen, the possibility of detecting defects gets higher as well. However, the reason why the result values were not favorable when less than 50 mHz of light source was provided is because it was difficult to detect defects as the defect parts became a state of thermal equilibrium in general when thermal diffusivity affects the entire materials.

Solubility and Physicochemical Stability of Ondansetron Hydrochloride in Various Vehicles (용제 중 염산온단세트론의 용해성 및 안정성)

  • Gwak, Hye-Sun;Oh, Ik-Sang;Chun, In-Koo
    • Journal of Pharmaceutical Investigation
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    • v.33 no.1
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    • pp.45-49
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    • 2003
  • The solubility and stability of ondansetron hydrochloride (OS) in various vehicles were determined. The effect of cyclodextrins (CD) on the solubility of OS in water was determined by equilibrium solubility method. The solubility of OS at $32^{\circ}C$ increased in the rank order of isopropyl myristate (IPM) < propylene glycol laurate (PGL) ${\ll}$ propylene glycol monolaurate < propylene glycol monocaprylate (PGMC) < poly(ethylene glycol) 400 < diethylene glycol mono ethyl ether (DGME) < ethanol < poly(ethylene glycol) 300 < water (36.1 mg/ml) ${\ll}$ propylene glycol (PG) (283 mg/ml). The addition of PG or DGME to non-aqueous vehicles such as IPM, PGL and PGMC markedly increased the solubility of OS. The addition of CDs in water increased the solubility. Apparent stability constant for the CD complexation with OS was calculated to be $25.5\;M^{-1}$ for $2-hydroxypropyl-{\beta}-CD\;(2HP{\beta}CD)$. Twenty mM ${\beta}-CD$, 69.4 mM sulfobutyl ether ${\beta}-CD$ and 115.4 mM $2HP{\beta}CD$ increased the aqueous solubilty of OS 1.27, 2.18 and 1.85 times, respectively. OS was stable in buffered aqueous solution (pH 5.0). However, OS was relatively unstable in non-aqueous vehicles in the order of PG

Thermodynamics of the Formation of Polymethylbenzene-Halogens Charge Transfer Complexes (IV) (폴리메틸벤젠과 할로겐 사이의 전하이동 착물생성에 관한 열역학적 연구 (제4보))

  • Oh Chun Kwun;Jeong Rim Kim;Je Ha Yang
    • Journal of the Korean Chemical Society
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    • v.26 no.5
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    • pp.274-281
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    • 1982
  • Ultraviolet spectrophotometric investigation have been carried out on the systems of pentamethylbenzene and hexamethylbenzene with iodine and iodine monochloride in carbon tetrachloride. The results reveal the formation of the one to one molecular complexes. The equilibrium constants were obtained in consideration of that absorption maxima due to the formation of the charge transfer complexes shift to blue with the increasing temperature. Thermodynamic parameters for the formation of the charge transfer complexes were calculated from these values. These results indicate that the complex formed between polymethylbenzene and iodine monochloride is more stable than that in the case of iodine. This may be a measure of their relative acidities toward polymethylbenzene, which is explained in terms of the relative electronegativities of halogen atoms. These results combined with previous studies of this series indicated that ${\lambda}_{max}$ shift to red with the increasing number of methyl groups on benezene ring and that the relative stabilities of these complexes increase in the order, Benzene < Toluene < Xylene < Durene < Mesitylene < Pentamethylbenzene < Hexamethylbenzene. The reason for the order found is thus additionally discussed.

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THE EFFECT OF FUNCTIONAL PRESSURES OF THE TONGUE AND LIPS ON THE INCISOR RELATIONSHIP (설과 구순의 기능압이 전치부 교합형태에 미치는 영향)

  • Soo, Chung Hyun;Lee, Ki Soo
    • The korean journal of orthodontics
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    • v.13 no.1
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    • pp.15-30
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    • 1983
  • This study was to investigate the effect of functional pressures of the tongue and lips on the incisor relationship. The incisor relationship was devided into two categories; one is vertical relationship which is subdevided into open bite, normal overbite and deep bite on the basis of overbite, and the other is anteroposterior relationship which is subdevided into cross bite, normal overjet and large overjet on the basis of overjet. The functional tongue and lip pressures exerted to incisors were measured with subminiature pressure sense from the 99 subjects, 19 of normal overbite and overjet, 26 of open bite, 18 of deep bite, 17 of cross bite and 19 of large overjet with age of 17-20, and cephalograms were taken from the same subjects. Functional pressures were analyzed and correlated to craniofacial veriables. The results of present investigation led to the following conclusions. 1. There were no differences in functional and maximum pressures by the tongue and lips exerted to maxillary incisors between normal occlusion, open bite, deep bite, cross bite and large overjet. 2. Significant differences in functional and maximum pressures by the tongue and lips exerted to mandibular incisors have been shown to exist between open bite and deep bite, but no differences between cross bite and large overjet. 3. Equilibrium between tongue pressures and lip pressures did not exist. 4. Significant differences in the ratio of upper functional and maximum pressures to lower pressures of the tongue and lips exerted to upper and lower incisors have been shown to exist between open bite and deep bite, and no differences between cross bite and large overjet. 5, There was significant correlation between functional and maximum pressures exerted to mandibular incisors and craniofacial variables, but not significant correlation between functional and maximum pressures exerted to maxillary incisors and craniofacial variables.

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Detailed Analysis of Thrust Plume and Satellite Base Region Interaction (인공위성 플룸과 기저면의 상호 작용에 관한 해석)

  • Kim, Jae-Gang;Kwon, Oh-Joon;Lee, Kyun-Ho;Kim, Su-Kyum;Yu, Myoung-Jong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.11
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    • pp.1056-1062
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    • 2008
  • The interaction between thrust plume and satellite base region was investigated by using direct simulate Monte-Carlo calculations. For the accurate simulation of N2 and H2 collisions and rotation-translation transition, a variable soft-sphere model and a recent rotational relaxation model of N2 and H2 were used. For the investigation of the interaction between thrust plume and base region, the number density distribution for each species, translational and rotational temperature distributions, heat flux, and pressure were examined by direct simulation of Monte-Carlo calculations. It was found that most of the surface properties are affected by H2 collisions and a strong non-equilibrium state is observed at the base region. It was demonstrated that an accurate model is needed to simulate H2 collisions and the rotation-translation transition. The results by the present calculation are more accurate than previous direct simulation Monte-Carlo calculations because more accurate rotational relaxation models were used in simulating the inelastic collisions.

Studies on Pollution and Reduction of Synthetic Detergents by Tap Water Treatment (합성세제의 오염과 상수정수처리에 의한 그 제거효과에 관한 조사연구)

  • Kwon, Sook-Pyo;Chung, Yong;Sim, Kyl-Soon
    • YAKHAK HOEJI
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    • v.21 no.4
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    • pp.200-210
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    • 1977
  • This investigation was undertaken from February 1976 to September 1976. The detergents in municipal sewages from the Chung Kae Stream, Ahn Yang Stream, and Bong Won Stream were determined at 1.5ppm, 0.93ppm, and 3.36ppm in average respectively. The concentrations of detergents determined in the Han river were 0.013ppm of Kwang Na Ru, 0.11ppm of Duk Do, 0.370ppm of Bo Kwang Dong, and 0.285ppm of Ka Yang Dong basin respectively. And the potable waters of Sung Book Ku and Sung Dong Ku from Ku Eu water pumping station located up-stream of the Han river were less polluted at 0.045ppm and 0.037ppm in average. Young Deung Po Ku and Su Dae Moon Ku had been relatively polluted at 0.181ppm and 0.133ppm. The coagulant, alum [$Al_{2}(SO_{4})_{3}$] could eliminated the small amount of detergent by coagulation. The eliminated rates were about 13% by 5ppm and 22.7% by 20ppm of aluminum sulfate in sewage contained 10ppm of turbidity. The sand and the charcoal adsorbed some detergent as the following Langmuir's equations: For the charcoal, m/x=0.029.$\times$1/Ce-11.43 For the charcoal, m/x=2.705log1/Ce-5.46 Where m: amount of snad and active carbon used(g) x: amount of detergent adsorbed from liquid(g) Ce:concentration in the liquid at equilibrium(miles) The adsorption effect of sand would be neglected. In the low concentration of detergent solution, one gram of active carbon adsorbed 0.263g of detergent. It was determined that one gram of chlorine reduced 5.5g pf DBS om keeping up 0.2ppm of residual chlorine by disinfection process with chlorine compound.

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Pore-scale Investigation on Displacement of Porewater by Supercritical CO2 Injection Using a Micromodel (초임계상 이산화탄소 주입으로 인한 공극수 대체에 관한 공극 규모의 마이크로모델 연구)

  • Park, Bogyeong;Lee, Minhee;Wang, Sookyun
    • Journal of Soil and Groundwater Environment
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    • v.21 no.3
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    • pp.35-48
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    • 2016
  • A micromodel was applied to estimate the effects of geological conditions and injection methods on displacement of resident porewater by injecting scCO2 in the pore scale. Binary images from image analysis were used to distinguish scCO2-filled-pores from other pore structure. CO2 flooding followed by porewater displacement, fingering migration, preferential flow and bypassing were observed during scCO2 injection experiments. Effects of pressure, temperature, salinity, flow rate, and injection methods on storage efficiency in micromodels were represented and examined in terms of areal displacement efficiency. The measurements revealed that the areal displacement efficiency at equilibrium decreases as the salinity increases, whereas it increases as the pressure and temperature increases. It may result from that the overburden pressure and porewater salinity can affect the CO2 solubility in water and the hydrophilicity of silica surfaces, while the neighboring temperature has a significant effect on viscosity of scCO2. Increased flow rate could create more preferential flow paths and decrease the areal displacement efficiency. Compared to the continuous injection of scCO2, the pulse-type injection reduced the probability for occurrence of fingering, subsequently preferential flow paths, and recorded higher areal displacement efficiency. More detailed explanation may need further studies based on closer experimental observations.

Behavior of Geosynthetic Reinforced Modular Block Walls with Settlement of Foundation (기초지반의 침하가 계단식 보강토 옹벽의 거동에 미치는 영향)

  • Yoo, Chung-Sik;Jung, Hye-Young;Song, Ah-Ran
    • Journal of the Korean Geosynthetics Society
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    • v.4 no.4
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    • pp.13-21
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    • 2005
  • This paper presents the results of an investigation on the effects of settlement of foundation on the behavior of geosynthetic-reinforced modular block walls in a tiered arrangement using the finite-element method of numerical analysis. A parametric study was performed by varing the foundation condition and offset distance between the tiers and reinforcement length of the lower and upper tier using varified finite-element model. The finite-element analysis provided relevant information on the mechanical behavior of the wall and interaction mechanism between the upper and lowers that was otherwise difficult to obtain from the limit-equilibrium analysis based current design approaches. Practical implications of the findings obtained from this study to current design approaches are discussed in great detail.

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