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An investigation of the thermodynamic effect on the response of FG beam on elastic foundation

  • Bouiadjra, Rabbab Bachir;Bachiri, Attia;Benyoucef, Samir;Fahsi, Bouazza;Bernard, Fabrice
    • Structural Engineering and Mechanics
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    • v.76 no.1
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    • pp.115-127
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    • 2020
  • This study presents an analytical approach to investigate the thermodynamic behavior of functionally graded beam resting on elastic foundations. The formulation is based on a refined deformation theory taking into consideration the stretching effect and the type of elastic foundation. The displacement field used in the present refined theory contains undetermined integral forms and involves only three unknowns to derive. The mechanical characteristics of the beam are assumed to be varied across the thickness according to a simple exponential law distribution. The beam is supposed simply supported and therefore the Navier solution is used to derive analytical solution. Verification examples demonstrate that the developed theory is very accurate in describing the response of FG beams subjected to thermodynamic loading. Numerical results are carried out to show the effects of the thermodynamic loading on the response of FG beams resting on elastic foundation.

Stiffness loss in enzyme-induced carbonate precipitated sand with stress scenarios

  • Song, Jun Young;Sim, Youngjong;Yeom, Sun;Jang, Jaewon;Yun, Tae Sup
    • Geomechanics and Engineering
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    • v.20 no.2
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    • pp.165-174
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    • 2020
  • The enzyme-induced carbonate precipitation (EICP) method has been investigated to improve the hydro-mechanical properties of natural soil deposits. This study was conducted to explore the stiffness evolution during various stress scenarios. First, the optimal concentration of urea, CaCl2, and urease for the maximum efficiency of calcite precipitation was identified. The results show that the optimal recipe is 0.5 g/L and 0.9 g/L of urease for 0.5 M CaCl2 and 1 M CaCl2 solutions with a urea-CaCl2 molar ratio of 1.5. The shear stiffness of EICP-treated sands remains constant up to debonding stresses, and further loading induces the reduction of S-wave velocity. It was also found that the debonding stress at which stiffness loss occurs depends on the void ratio, not on cementation solution. Repeated loading-unloading deteriorates the bonding quality, thereby reducing the debonding stress. Scanning electron microscopy and X-ray images reveal that higher concentrations of CaCl2 solution facilitate heterogeneous nucleation to form larger CaCO3 nodules and 11-12 % of CaCO3 forms at the interparticle contact as the main contributor to the evolution of shear stiffness.

Ionic Equilibria and Ion Exchange of Molybdenum(VI) from Strong Acid Solution

  • Lee, Man-Seung;Sohn, Seong-Ho;Lee, Myung-Ho
    • Bulletin of the Korean Chemical Society
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    • v.32 no.10
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    • pp.3687-3691
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    • 2011
  • Ion exchange experiments of molybdenum(VI) from strong HCl and $H_2SO_4$ solution have been done to investigate the existence of anionic complexes. The concentration of HCl and $H_2SO_4$was changed from 1 to 9 M. From the data on the complex formation of molybdenum in aqueous solution, a new distribution diagram of Mo(VI) was constructed in the pH range from zero to 10. AG 1 X-8, an anion exchange resin, and Diphonix, a cation exchange resin were used in the loading experiments. Ion exchange results indicate that anionic complexes of Mo(VI) begins to form from 3 M HCl and 1 M $H_2SO_4$ solution and the tendency to form anionic complexes is stronger in HCl than in $H_2SO_4$ solution. Our results can be utilized in the analysis of Mo(VI) in strong acid solution and in the design of a process to separate Mo(VI).

Structural Analysis of Deepwater Steel Catenary Riser using OrcaFlex (OrcaFlex를 이용한 심해 SCR 구조 해석)

  • Park, Kyu-Sik;Choi, Han-Suk;Kim, Do-Kyun;Yu, Su-Young;Kang, Soo-Chang
    • Journal of Ocean Engineering and Technology
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    • v.29 no.1
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    • pp.16-27
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    • 2015
  • The design challenges when attempting to obtain sufficient strength for a deepwater steel catenary riser (SCR) include high stress near the hang-off location, an elevated beam-column buckling load due to the effective compression in the touchdown zone (TDZ), and increased stress and low-cycle fatigue damage in the TDZ. Therefore, a systematic strength analysis is required for the proper design of an SCR. However, deepwater SCR analysis is a new research area. Thus, the objective of this study was to develop an overall analysis procedure for a deepwater SCR. The structural behavior of a deepwater SCR under various environmental loading conditions was investigated, and a sensitivity analysis was conducted with respect to various parameters such as the SCR weight, weight of the internal contents, hang-off angle (HOA), and vertical soil stiffness. Based on a deepwater SCR design example, it was found that the maximum stress of an SCR occurred at a hang-off location under parallel loading direction with respect to the riser plane, except for a wave dominant dynamic survival loading condition. Furthermore, the tensile stress governed the total stress of the SCRs, whereas the bending stress governed the total stress at the TDZ. The weight of the SCR and internal contents affected the maximum stress of the SCR more than the HOA and vertical soil stiffness, because the weight of the SCR, including the internal contents, was directly related to its tensile stress.

Performance of FRP confined and unconfined geopolymer concrete exposed to sulfate attacks

  • Alzeebaree, Radhwan;Gulsan, Mehmet Eren;Nis, Anil;Mohammedameen, Alaa;Cevik, Abdulkadir
    • Steel and Composite Structures
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    • v.29 no.2
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    • pp.201-218
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    • 2018
  • In this study, the effects of magnesium sulfate on the mechanical performance and the durability of confined and unconfined geopolymer concrete (GPC) specimens were investigated. The carbon and basalt fiber reinforced polymer (FRP) fabrics with 1-layer and 3-layers were used to evaluate the performances of the specimens under static and cyclic loading in the ambient and magnesium sulfate environments. In addition, the use of FRP materials as a rehabilitation technique was also studied. For the geopolymerization process of GPC specimens, the alkaline activator has selected a mixture of sodium silicate solution ($Na_2SiO_3$) and sodium hydroxide solution (NaOH) with a ratio ($Na_2SiO_3/NaOH$) of 2.5. In addition to GPC specimens, an ordinary concrete (NC) specimens were also produced as a reference specimens and some of the GPC and NC specimens were immersed in 5% magnesium sulfate solutions. The mechanical performance and the durability of the specimens were evaluated by visual appearance, weight change, static and cyclic loading, and failure modes of the specimens under magnesium sulfate and ambient environments. In addition, the microscopic changes of the specimens due to sulfate attack were also assessed by scanning electron microscopy (SEM) to understand the macroscale behavior of the specimens. Results indicated that geopolymer specimens produced with nano-silica and fly ash showed superior performance than the NC specimens in the sulfate environment. In addition, confined specimens with FRP fabrics significantly improved the compressive strength, ductility and durability resistance of the specimens and the improvement was found higher with the increased number of FRP layers. Specimens wrapped with carbon FRP fabrics showed better mechanical performance and durability properties than the specimens wrapped with basalt FRP fabrics. Both FRP materials can be used as a rehabilitation material in the sulfate environment.

A Study on Affinity Chromatography of Protein by Flat and Hollow-Fiber Membrane Module (평판막 및 실관막 모듈에 의한 단백질의 친화성 크로마토그래피에 관한 연구)

  • 이광진;염경호
    • Membrane Journal
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    • v.8 no.1
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    • pp.50-58
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    • 1998
  • Protein affinity membranes were prepared via coating of chitosan gel on the porous flat and hollow-fiber polysulfone membranes, followed by the immobilization of the reactive dye (Cibacron Blue 3GA) to the chitosan gel. Maximum protein binding capacity of these affinity membranes was about 70 $\mu{g/cm}^2$. Using the affinity flat membrane module, the elution chromatography of human serum albumin (HSA) was performed to determine the optimum condition of eluent buffer. The optimum condition of eluent was the universal buffer solution of 0.06 M concentration containing 1 M KCl at pH 10. For the frontal chromatography of HSA using the flat module, the dynamic protein binding capacity was rapidly decreased from the equilibrium values with increasing flow rate and HSA concentration of the loading solution. However, in the case of hollow-fiber module, the dynamic binding capacity was maintained an equilibrium value without depending on the operating conditions. These results showed that the hollow-fiber module was more effective than the flat module as an affinity chromatography column.

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Effect of Acute Unilateral Ureteral Obstruction on Handling of $Li^+$ by Contralateral Kidney in Rabbits (급성 일측 수뇨관 폐쇄후 상대신의 $Li^+$처리에 관한 연구)

  • Sung, Ho-Kyung;Earm, Yung-E
    • The Korean Journal of Physiology
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    • v.16 no.2
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    • pp.165-175
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    • 1982
  • Changes in handling of $Li^+$ by contralateral kidney during acute $Li^+$ loading were investigated immediately after unilateral ureteral obstruction. Carotid artery, jugular vein, renal vein and ureter of experimental animal were catheterized and renal venous flow was shunted to .external jugular vein. In experimental group right ureter was ligated. One to two hours after operation a single shot of LiCl solution (2 mEq/kg) was intravenously injected and then .arterial, renal venous blood and urine samples were taken sequentially for 1 to $1{\frac{1}{2}}$ hours. Urine volume, plasma and urinary concentrations of $Li^+$, $Na^+$ and $K^+$ were measured and urinary excretion of them were calculated. Results obtained were as follows: 1) In experimental group urine volume, urinary excretion of $Na^+$, and $K^+$ by contralateral kidney after unilateral ureteral obstruction were slightly larger than mean value of both kidney in control group. 2) During acute $Li^+$ loading contralateral kidney in experimental group showed limited $K^+$ excretion, but urinary flow and $Na^+$ excretion were comparable to mean value of both kidney in control group. 3) Urinary osmolar concentration in experimental group was much lower than that in control group, and it was maintained at low level even after Li loading. 4) In experimental group plasma$Li^+$ concentration decreased more slowly than in control group after a single shot of LiCl solution. 5) Urinary excretion of $Li^+$ in experimental group was markedly decreased, even lesseer than mean of both kidney in control group. 6) From the above results it was concluded that immediately after unilateral ureteral obstruction contralateral kidney showed normal water and $Na^+$ diuretic response to Li load but urinay $Li^+$ excretion was decreased and reclaimed $Li^+$ to systemic circulation.

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Two-Parameter Characterization for the Resistance Curves of Ductile Crack Growth (연선균열성장 저항곡선에 대한 2매개변수의 특성)

  • X.K.Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.4
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    • pp.488-503
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    • 1999
  • The present paper considers the constraint effect on J-R curves under the two-parameter $J-A_2$ controlled crack growth within a certain amount of crack extension. Since the parameter $A_2$ in $J-A_2$ three-term solution is independent of applied loading under fully plasticity or large-scale defor-mation $A_2$ is a proper constraint parameter uring crack extension. Both J and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and A2 as a con-straint parameter. Approach of the constraint-corrected J-R curve is proposed and a procedure of transferring the J-R curves determined from standard ASTM procedure to non-standard speci-mens or real cracked structures is outlined. The test data(e.g. initiation toughness JIC and tearing modulus $T_R$) of Joyce and Link(Engineer-ing Fracture Mechanics 1997, 57(4) : 431-446) for single-edge notched bend[SENB] specimen with from shallow to deep cracks is employed to demonstrate the efficiency of the present approach. The variation of $J_{IC}$ and $T_R$ with the constraint parameter $A_2$ is obtained and a con-straint-corrected J-R curves is constructed for the test material of HY80 steel. Comparisons show that the predicted J-R curves can very well match with the experimental data for both deep and shallow cracked specimens over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. The constraint effects of specimen types and specimen sizes on the J-R curves can be easily obtained from the constrain-corrected J-R curves.

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The analytic solution for parametrically excited oscillators of complex variable in nonlinear dynamic systems under harmonic loading

  • Bayat, Mahdi;Bayat, Mahmoud;Pakar, Iman
    • Steel and Composite Structures
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    • v.17 no.1
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    • pp.123-131
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    • 2014
  • In this paper we have considered the vibration of parametrically excited oscillator with strong cubic positive nonlinearity of complex variable in nonlinear dynamic systems with forcing based on Mathieu-Duffing equation. A new analytical approach called homotopy perturbation has been utilized to obtain the analytical solution for the problem. Runge-Kutta's algorithm is also presented as our numerical solution. Some comparisons between the results obtained by the homotopy perturbation method and Runge-Kutta algorithm are shown to show the accuracy of the proposed method. In has been indicated that the homotopy perturbation shows an excellent approximations comparing the numerical one.

Stability analysis of transversely isotropic laminated Mindlin plates with piezoelectric layers using a Levy-type solution

  • Ghasemabadian, M.A.;Saidi, A.R.
    • Structural Engineering and Mechanics
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    • v.62 no.6
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    • pp.675-693
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    • 2017
  • In this paper, based on the first-order shear deformation plate theory, buckling analysis of piezoelectric coupled transversely isotropic rectangular plates is investigated. By assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for buckling analysis of plate with surface bonded piezoelectric layers are established. The Maxwell's equation and all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. The analytical solution is obtained for Levy type of boundary conditions. The accurate buckling load of laminated plate is presented for both open and closed circuit conditions. From the numerical results it is found that, the critical buckling load for open circuit is more than that of closed circuit in all boundary and loading conditions. Furthermore, the critical buckling loads and the buckling mode number increase by increasing the thickness of piezoelectric layers for both open and closed circuit conditions.