• Title/Summary/Keyword: fraction law

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Combined influence of porosity and elastic foundation parameters on the bending behavior of advanced sandwich structures

  • Malek Hadji;Abdelhakim Bouhadra;Belgacem Mamen;Abderahmane Menasria;Abdelmoumen Anis Bousahla;Fouad Bourada;Mohamed Bourada;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Steel and Composite Structures
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    • v.46 no.1
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    • pp.1-13
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    • 2023
  • Elastic bending of imperfect functionally graded sandwich plates (FGSPs) laying on the Winkler-Pasternak foundation and subjected to sinusoidal loads is analyzed. The analyses have been established using the quasi-3D sinusoidal shear deformation model. In this theory, the number of unknowns is condensed to only five unknowns using integral-undefined terms without requiring any correction shear factor. Moreover, the current constituent material properties of the middle layer is considered homogeneous and isotropic. But those of the top and bottom face sheets of the graded porous sandwich plate (FGSP) are supposed to vary regularly and continuously in the direction of thickness according to the trigonometric volume fraction's model. The corresponding equilibrium equations of FGSPs with simply supported edges are derived via the static version of the Hamilton's principle. The differential equations of the system are resolved via Navier's method for various schemes of FGSPs. The current study examine the impact of the material index, porosity, side-to-thickness ratio, aspect ratio, and the Winkler-Pasternak foundation on the displacements, axial and shear stresses of the sandwich structure.

Development and Verification of 4-Electrode Resistivity Probe (4전극 전기비저항 탐사장비의 개발 및 검증)

  • Kim, Joon-Han;Yoon, Hyung-Koo;Jung, Soon-Hyuck;Lee, Jong-Sub
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.3C
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    • pp.127-136
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    • 2009
  • The objective of this study is the development and verification of the 4-electrode resistivity probe (4ERP) for the estimation of electrical properties of the saturated soils. The 4ERPs with wedge and plane types are manufactured to obtain the electrical resistivity without polarization at the electrodes by using Wenner array. The wedge type is for the penetration into the soil samples and the plane type is for the installation into the cells used for the laboratory tests. The consolidation tests are carried out by using 6 types of glass beads and 3 types of sands in size. The test results show that the electrical resistivity increases with a decrease in the porosity, and the constant m used in Archie's law is dependent on the particle shape rather particle size. The one dimensional liquefaction tests show that the porosity obtained by the 4ERP is similar to that determined by the volume fraction. The penetration of the 4ERP into the large scale calibration chamber produces the resistivity profiles. This study demonstrates that the 4ERP may effectively estimate the porosity of the saturated soils.

Investigation of the mechanical behavior of functionally graded sandwich thick beams

  • Mouaici, Fethi;Bouadi, Abed;Bendaida, Mohamed;Draiche, Kada;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdelouahed;Ghazwani, Mofareh Hassan;Alnujaie, Ali
    • Steel and Composite Structures
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    • v.44 no.5
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    • pp.721-740
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    • 2022
  • In this paper, an accurate kinematic model has been developed to study the mechanical response of functionally graded (FG) sandwich beams, mainly covering the bending, buckling and free vibration problems. The studied structure with homogeneous hardcore and softcore is considered to be simply supported in the edges. The present model uses a new refined shear deformation beam theory (RSDBT) in which the displacement field is improved over the other existing high-order shear deformation beam theories (HSDBTs). The present model provides good accuracy and considers a nonlinear transverse shear deformation shape function, since it is constructed with only two unknown variables as the Euler-Bernoulli beam theory but complies with the shear stress-free boundary conditions on the upper and lower surfaces of the beam without employing shear correction factors. The sandwich beams are composed of two FG skins and a homogeneous core wherein the material properties of the skins are assumed to vary gradually and continuously in the thickness direction according to the power-law distribution of volume fraction of the constituents. The governing equations are drawn by implementing Hamilton's principle and solved by means of the Navier's technique. Numerical computations in the non-dimensional terms of transverse displacement, stresses, critical buckling load and natural frequencies obtained by using the proposed model are compared with those predicted by other beam theories to confirm the performance of the proposed theory and to verify the accuracy of the kinematic model.

Study on stability and free vibration behavior of porous FGM beams

  • Bennai, Riadh;Atmane, Redhwane Ait;Bernard, Fabrice;Nebab, Mokhtar;Mahmoudi, Noureddine;Atmane, Hassen Ait;Aldosari, Salem Mohammed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.45 no.1
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    • pp.67-82
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    • 2022
  • In this paper, buckling and free vibration of imperfect, functionally graded beams, including porosities, are investigated, using a higher order shear strain theory. Due to defects during the manufacturing process, micro porosities may appear in the material, hence the appearance of this imperfection in the structure. The material properties of the beams are assumed to vary regularly, with power and sigmoid law, in the direction of thickness. A novel porosity distribution affecting the functionally graded volume fraction is presented. For the compact formulation used for cementite-based materials and already used in P-FGM, we have adapted it for the distribution of S-FGM. The equations of motion in the FG beam are derived using Hamilton's principle. The boundary conditions for beam FG are assumed to be simply supported. Navier's solution is used to obtain the closed form solutions of the FG beam. The numerical results of this work are compared with those of other published research to verify accuracy and reliability. The comparisons of different shear shape functions, the influence of porosity, thickness and inhomogeneity parameters on buckling and free vibration of the FG beam are all discussed. It is established that the present work is more precise than certain theories developed previously.

On the thermal buckling response of FG Beams using a logarithmic HSDT and Ritz method

  • Kadda Bouhadjeb;Abdelhakim Kaci;Fouad Bourada;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mohammed A. Al-Osta;S.R. Mahmoud;Farouk Yahia Addou
    • Geomechanics and Engineering
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    • v.37 no.5
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    • pp.453-465
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    • 2024
  • This paper presents a logarithmic shear deformation theory to study the thermal buckling response of power-law FG one-dimensional structures in thermal conditions with different boundary conditions. It is assumed that the functionally graded material and thermal properties are supposed to vary smoothly according to a contentious function across the vertical direction of the beams. A P-FG type function is employed to describe the volume fraction of material and thermal properties of the graded (1D) beam. The Ritz model is employed to solve the thermal buckling problems in immovable boundary conditions. The outcomes of the stability analysis of FG beams with temperature-dependent and independent properties are presented. The effects of the thermal loading are considered with three forms of rising: nonlinear, linear and uniform. Numerical results are obtained employing the present logarithmic theory and are verified by comparisons with the other models to check the accuracy of the developed theory. A parametric study was conducted to investigate the effects of various parameters on the critical thermal stability of P-FG beams. These parameters included support type, temperature fields, material distributions, side-to-thickness ratios, and temperature dependency.

Investigating wave propagation in sigmoid-FGM imperfect plates with accurate Quasi-3D HSDTs

  • Mokhtar Nebab;Hassen Ait Atmane;Riadh Bennai
    • Steel and Composite Structures
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    • v.51 no.2
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    • pp.185-202
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    • 2024
  • In this research paper, and for the first time, wave propagations in sigmoidal imperfect functionally graded material plates are investigated using a simplified quasi-three-dimensionally higher shear deformation theory (Quasi-3D HSDTs). By employing an indeterminate integral for the transverse displacement in the shear components, the number of unknowns and governing equations in the current theory is reduced, thereby simplifying its application. Consequently, the present theories exhibit five fewer unknown variables compared to other Quasi-3D theories documented in the literature, eliminating the need for any correction coefficients as seen in the first shear deformation theory. The material properties of the functionally graded plates smoothly vary across the cross-section according to a sigmoid power law. The plates are considered imperfect, indicating a pore distribution throughout their thickness. The distribution of porosities is categorized into two types: even or uneven, with linear (L)-Type, exponential (E)-Type, logarithmic (Log)-Type, and Sinus (S)-Type distributions. The current quasi-3D shear deformation theories are applied to formulate governing equations for determining wave frequencies, and phase velocities are derived using Hamilton's principle. Dispersion relations are assumed as an analytical solution, and they are applied to obtain wave frequencies and phase velocities. A comprehensive parametric study is conducted to elucidate the influences of wavenumber, volume fraction, thickness ratio, and types of porosity distributions on wave propagation and phase velocities of the S-FGM plate. The findings of this investigation hold potential utility for studying and designing techniques for ultrasonic inspection and structural health monitoring.

Comparison of the Antioxidant Activities of Organic Solvent Fractions of Leaf and Root Extracts of Peucedanum insolens Kitagawa (왕산방풍의 잎과 뿌리의 유기용매 분획물에서의 항산화 활성 비교)

  • Myong-Seok Oh;Nandintsetseg Narantuya;Chan-Ju Park;Ghilsoo Nam;Sik-Jae Cho;Ja-Young Moon
    • Journal of Life Science
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    • v.33 no.2
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    • pp.138-148
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    • 2023
  • This study compared and analyzed the antioxidant activities of various organic solvent fractions from the leaves and roots of Peucedanum insolens Kitagawa. For this study, the dried leaves and roots of P. insolens Kitagawa were first extracted using 70% ethanol. The extracts were sequentially sub-fractionated in the order of hexane, chloroform, ethyl acetate, n-butanol, and water. The results revealed that the distribution of total phenolic contents by organic solvent fractions showed the same pattern in both the leaves and roots, with the highest in the ethyl acetate fraction (101.1±1.0 mg vs 71.2±3.4 mg of GAE/mg), but the lowest content in the hexane fraction (9.5±0.2 mg vs 7.5±2.1 mg of GAE/mg). The distribution of total flavonoid content in the organic solvent fractions showed the same pattern as that of total phenolic content. The results of DPPH, ABTS, and FRAP assays showed that the leaf and root extracts exhibited free radical scavenging activity in the same pattern, particularly, the ethyl acetate fraction had the highest activity. These results indicate that not only the roots of P. insolens Kitagawa but also the leaves possess potential substances that exhibit strong antioxidant activity. Significant correlations (R=0.903, p<0.0001, DPPH radical; R=0.891, p<0.001, ABTS radical; R=0.745, p<0.05, FRAP radical) between total phenolics and radical scavenging activities, but also significant correlations (R=0.867, p<0.001, DPPH vs. ABTS radicals; R=0.882, p<0.0001, DPPH vs. FRAP radicals; R=0.973, p<0.0001, ABTS vs. FRAP radicals) between radical scavenging activities were found in the organic solvent fractions. Therefore, as in the roots of P. insolens Kitagawa, the leaves possess strong antioxidant capacity and can be used as the main antioxidant material.

Finite Element Analysis of Ultra High Performance Fiber Reinforced Concrete 50M Composite Box Girder (초고강도 섬유보강 콘크리트 50M 합성 박스거더의 유한요소해석)

  • Makhbal, Tsas-Orgilmaa;Kim, Do-Hyun;Han, Sang-Mook
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.6 no.2
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    • pp.100-107
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    • 2018
  • The material and geometrical nonlinear finite elment analysis of UHPFRC 50M composite box girder was carried out. Constitute law in tension and compressive region of UHPFRC and HPC were modeled based on specimen test. The accuracy of nonlinear FEM analysis was verified by the experimental result of UHPFRC 50M composite girder. The UHPFRC 50M segmental composite box girder which has 1.5% steel fiber of volume fraction, 135MPa compressive strength and 18MPa tensile strength was tested. The post-tensioned UHPFRC composite girder consisted of three segment UHPFRC U-girder and High Strength Concrete reinforced slab. The parts of UHPFRC girder were modeled by 8nodes hexahedron elements and reinforcement bars and tendons were built by 2nodes linear elements by Midas FEA software. The constitutive laws of concrete materials were selected Multi-linear model both of tension and compression function under total strain crack model, which was included in classifying of smeared crack model. The nonlinearity of reinforcement elements and tendon was simulated by Von Mises criteria. The nonlinear static analysis was applied by incremental-iteration method with convergence criteria of Newton-Raphson. The validation of numerical analysis was verified by comparison with experimental result and numerical analysis result of load-deflection response, neutral axis coordinate change, and cracking pattern of girder. The load-deflection response was fitted very well with comparison to the experimental result. The finite element analysis is seen to satisfactorily predict flexural behavioral responses of post-tensioned, reinforced UHPFRC composite box girder.

Studies on Polymorphism of Transferrin of Serum Proteins in Tilapia (Oreochromis niloticus) (Tilapia(Oreochromis niloticus)의 혈청과 단백질의 transferrin의 다형현상에 관한 연구)

  • Sim Un-Hwa;Yoon Jong-Man;Kim Kye-Yung;Park Hong-Yang
    • Journal of Aquaculture
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    • v.2 no.1
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    • pp.9-20
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    • 1989
  • This study was taken to isolate transferrin fractions from the sera of tilapia(Oreochromis niloticus) by physico-chemical analyses such as the rivanol precipitation, iron-staining method, SDS-polyacrylamide gel electrophoresis and $^{59}FeCl_3$ autoradiography, and to calculate gene frequencies by using Hardy-Weinberg Law. The results obtained in this experiment were summarized as follow : 1. The transferrin fraction is composed of several components possessing relative lower electrophoretic mobilities and higher molecular sizes than the albumin components. 2. When different staining method was compared with transferrin in band, it was not found difference. 3. It was concluded that the optimun ratio of rivanol to serum was 2 : 1 and this ratio was used in all further fractionation. 4. The molecular weight of transferrin component was about 70,000 $\pm$ 2,000. 5. Tilapia transferrin fractionations were found to be polymorphic. 6. There transferrin variants(A, B and C) have been found in tilapia(Oreochromis niloticus) and Tf types were assumed to be controlled by three codominant alleles Tf A, Tf B and Tf C. Six different phenotypes can be theoretically expected Tf AA, Tf AB, Tf AC, Tf BB, Tf BC, and Tf CC. Only five types of these were observed and Tf CC types(homozygotes) was not found. 7. The frequencies of the three allele Tf A, Tf B and Tf C were 0.795, 0.15 and 0.055 respectively.

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Rheological Properties of Spray Dried Protein-bound Polysaccharide Powder from Agaricus blazei Murill (아가리쿠스버섯에서 분리한 단백다당류 분무건조분말의 유동특성)

  • Hong, Joo-Heon;Youn, Kwang-Sup
    • Food Science and Preservation
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    • v.13 no.5
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    • pp.555-562
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    • 2006
  • This study was conducted to investigate the rheological properties of protein-bound polysaccharide powders (SD-1, 2, 3) using ultrafiltration (UF) and spray drying (SD) process from Agaricus blazei Murill. The calculated weight-average molar mass (Mw) in the positions at 29.7 mL (for SD-1), and at 27.8 mL (for SD-2), and at 18.7 mL (for SD-3) was $8.2{\times}10^3,\;9.6{\times}10^4$, and $5.9{\times}10^6g/mol$, respectively. As concentration increased the solution showed higher pseudoplasticity where the pseudoplasticity decreased as temperature increased. The flow behaviors of spray dried powder solutions were more fitted to Herschel-Bulkley equation than Power law equation. Apparent viscosity of SD-2 was more temperature-dependent than that of SD-1 and 3. However, the SD-3 tended to be more concentration-dependent than SD-1 and 2 as temperature increasing.