• 제목/요약/키워드: mixture theory

검색결과 302건 처리시간 0.026초

Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformation theory

  • Bousahla, Abdelmoumen Anis;Bourada, Fouad;Mahmoud, S.R.;Tounsi, Abdeldjebbar;Algarni, Ali;Bedia, E.A. Adda;Tounsi, Abdelouahed
    • Computers and Concrete
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    • 제25권2호
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    • pp.155-166
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    • 2020
  • In this work, the buckling and vibrational behavior of the composite beam armed with single-walled carbon nanotubes (SW-CNT) resting on Winkler-Pasternak elastic foundation are investigated. The CNT-RC beam is modeled by a novel integral first order shear deformation theory. The current theory contains three variables and uses the shear correction factors. The equivalent properties of the CNT-RC beam are computed using the mixture rule. The equations of motion are derived and resolved by Applying the Hamilton's principle and Navier solution on the current model. The accuracy of the current model is verified by comparison studies with others models found in the literature. Also, several parametric studies and their discussions are presented.

The surface stress effects on the buckling analysis of porous microcomposite annular sandwich plate based on HSDT using Ritz method

  • Mohsen Emdadi;Mehdi Mohammadimehr;Borhan Rousta Navi
    • Computers and Concrete
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    • 제32권5호
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    • pp.439-454
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    • 2023
  • In this article, the surface stress effects on the buckling analysis of the annular sandwich plate is developed. The proposed plate is composed of two face layers made of carbon nanotubes (CNT) reinforced composite with assuming of fully bonded to functionally graded porous core. The generalized rule of the mixture is employed to predict the mechanical properties of the microcomposite sandwich plate. The derived potentials energy based on higher order shear deformation theory (HSDT) and modified couple stress theory (MCST) is solved by employing the Ritz method. An exact analytical solution is presented to calculate the critical buckling loads of the annular sandwich plate. The predicted results are validated by carrying out the comparison studies for the buckling analysis of annular plates with those obtained by other analytical and finite element methods. The effects of various parameters such as material length scale parameter, core thickness to total thickness ratio (hc/h), surface elastic constants based on surface stress effect, various boundary condition and porosity distributions, size of the internal pores (e0), Skempton coefficient and elastic foundation on the critical buckling load have been studied. The results can be served as benchmark data for future works and also in the design of materials science, injunction high-pressure micropipe connections, nanotechnology, and smart systems.

A new four-unknown equivalent single layer refined plate model for buckling analysis of functionally graded rectangular plates

  • Ibrahim Klouche Djedid;Sihame Ait Yahia;Kada Draiche;Emrah Madenci;Kouider Halim Benrahou;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • 제90권5호
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    • pp.517-530
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    • 2024
  • This paper presents a new four-unknown equivalent single layer (ESL) refined plate theory for the buckling analysis of functionally graded (FG) rectangular plates with all simply supported edges and subjected to in-plane mechanical loading conditions. The present model accounts for a parabolic variation of transverse shear stress over the thickness, and accommodates correctly the zero shear stress conditions on the top and bottom surfaces of the plate. The material properties are supposed to vary smoothly in the thickness direction through the rules of mixture named power-law gradation. The governing equilibrium equations are formulated based on the total potential energy principle and solved for simply supported boundary conditions by implementing the Navier's method. A numerical result on elastic buckling using the current theory was computed and compared with those published in the literature to examine the accuracy of the proposed analytical solution. The effects of changing power-law exponent, aspect ratio, thickness ratio and modulus ratio on the critical buckling load of FG plates under different in-plane loading conditions are investigated in detail. Moreover, it was found that the geometric parameters and power-law exponent play significant influences on the buckling behavior of the FG plates.

삼축압축시험을 이용한 아스팔트 혼합물의 파괴기준 개발 (Development of Failure Criterion of Hot Mix Asphalt Using Triaxial Shear Strength Test)

  • 김성겸;이관호
    • 대한토목학회논문집
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    • 제34권3호
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    • pp.947-954
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    • 2014
  • 일반적으로 Mohr-Coulomb 파괴 이론을 바탕으로 한 재료 파괴는 최대수직응력이나 최대전단응력 상태에서 파괴가 일어나는 것이 아니라 수직응력과 전단응력의 임계결합상태에서 파괴된다. 이에 본 연구에서는 배수성 아스팔트 혼합물 2종과 SMA 10mm혼합물 및 일반 밀입도 아스팔트 19mm를 이용한 $45^{\circ}C$$60^{\circ}C$에서 삼축압축시험을 실시하였다. Mohr-Coulomb의 파괴 이론을 바탕으로 삼축압축시험 결과를 정리한 결과 내부마찰각은 $38.9^{\circ}{\sim}46.9^{\circ}$로 다소 불규칙하게 측정되었으나 점착력의 경우 온도와 시편의 수침여부에 따라 다르게 나타났다. 또한, 아스팔트 혼합물의 간접인장강도시험과 삼축압축시험 상관관계를 알아보기 위해 삼축압축시험 결과로 평가된 점착력과 내부마찰각을 이용하여 계산된 이론적인 간접인장강도와 시험을 통해 직접 측정된 간접인장강도를 분석하였다. 두 간접인장강도 값은 비례하는 경향을 보였다.

잔류응력을 고려한 섬유 금속 적층판의 기계적 물성치 예측에 관한 이론적 연구 (Analytical Study for the Prediction of Mechanical Properties of a Fiber Metal Laminate Considering Residual Stress)

  • 강동식;이병언;박으뜸;김정;강범수;송우진
    • 소성∙가공
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    • 제23권5호
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    • pp.289-296
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    • 2014
  • Uniaxial tensile tests were conducted to accurately evaluate the in-plane mechanical properties of fiber metal laminates (FMLs). The FMLs in the current study are comprised of a layer of self-reinforced polypropylene (SRPP) sandwiched between two layers of aluminum alloy 5052-H34. The nonlinear tensile behavior of the FMLs under in-plane loading conditions was investigated using both numerical simulations and a theoretical analysis. The numerical simulation was based on finite element modeling using the ABAQUS/Explicit code and the theoretical constitutive model was based on the volume fraction approach using the rule of mixture and a modification of the classical lamination theory, which incorporates the elastic-plastic behavior of the aluminum alloy and the SRPP. The simulations and the model are used to predict the inplane mechanical properties such as stress-strain response and deformation behavior of the FMLs. In addition, a post-stretching process is used to reduce the thermal residual stresses before uniaxial tensile testing of the FMLs. Through comparison of both the numerical simulations and the theoretical analysis with the experimental results, it is concluded that the numerical simulation model and the theoretical approach can describe with sufficient accuracy the actual tensile stress-strain behavior of the FMLs.

POINTWISE CROSS-SECTION-BASED ON-THE-FLY RESONANCE INTERFERENCE TREATMENT WITH INTERMEDIATE RESONANCE APPROXIMATION

  • BACHA, MEER;JOO, HAN GYU
    • Nuclear Engineering and Technology
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    • 제47권7호
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    • pp.791-803
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    • 2015
  • The effective cross sections (XSs) in the direct whole core calculation code nTRACER are evaluated by the equivalence theory-based resonance-integral-table method using the WIMS-based library as an alternative to the subgroup method. The background XSs, as well as the Dancoff correction factors, were evaluated by the enhanced neutron-current method. A method, with pointwise microscopic XSs on a union-lethargy grid, was used for the generation of resonance-interference factors (RIFs) for mixed resonant absorbers. This method was modified by the intermediate-resonance approximation by replacing the potential XSs for the non-absorbing moderator nuclides with the background XSs and neglecting the resonance-elastic scattering. The resonance-escape probability was implemented to incorporate the energy self-shielding effect in the spectrum. The XSs were improved using the proposed method as compared to the narrow resonance infinite massbased method. The RIFs were improved by 1% in $^{235}U$, 7% in $^{239}Pu$, and >2% in $^{240}Pu$. To account for thermal feedback, a new feature was incorporated with the interpolation of pre-generated RIFs at the multigroup level and the results compared with the conventional resonance-interference model. This method provided adequate results in terms of XSs and k-eff. The results were verified first by the comparison of RIFs with the exact RIFs, and then comparing the XSs with the McCARD calculations for the homogeneous configurations, with burned fuel containing a mixture of resonant nuclides at different burnups and temperatures. The RIFs and XSs for the mixture showed good agreement, which verified the accuracy of the RIF evaluation using the proposed method. The method was then verified by comparing the XSs for the virtual environment for reactor applicationbenchmark pin-cell problem, as well as the heterogeneous pin cell containing burned fuel with McCARD. The method works well for homogeneous, as well as heterogeneous configurations.

Vibration analysis of sandwich sector plate with porous core and functionally graded wavy carbon nanotube-reinforced layers

  • Feng, Hongwei;Shen, Daoming;Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제37권6호
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    • pp.711-731
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    • 2020
  • This paper deals with free vibration of FG sandwich annular sector plates on Pasternak elastic foundation with different boundary conditions, based on the three-dimensional theory of elasticity. The plates with simply supported radial edges and arbitrary boundary conditions on their circular edges are considered. The influence of carbon nanotubes (CNTs) waviness, aspect ratio, internal pores and graphene platelets (GPLs) on the vibrational behavior of functionally graded nanocomposite sandwich plates is investigated in this research work. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness of upper and bottom layers of the sandwich sectorial plates and their mechanical properties are estimated by an extended rule of mixture. In this study, the classical theory concerning the mechanical efficiency of a matrix embedding finite length fibers has been modified by introducing the tube-to-tube random contact, which explicitly accounts for the progressive reduction of the tubes' effective aspect ratio as the filler content increases. The core of structure is porous and the internal pores and graphene platelets (GPLs) are distributed in the matrix of core either uniformly or non-uniformly according to three different patterns. The elastic properties of the nanocomposite are obtained by employing Halpin-Tsai micromechanics model. A semi-analytic approach composed of 2D-Generalized Differential Quadrature Method (2D-GDQM) and series solution is adopted to solve the equations of motion. The fast rate of convergence and accuracy of the method are investigated through the different solved examples. Some new results for the natural frequencies of the plate are prepared, which include the effects of elastic coefficients of foundation, boundary conditions, material and geometrical parameters. The new results can be used as benchmark solutions for future researches.

A Novel Design of Simulated Moving Bed (SMB) Chromatography for Separation of Ketoprofen Enantiomer

  • Yoon, Tae-Ho;Chung, Bong-Hyun;Kim, In-Ho
    • Biotechnology and Bioprocess Engineering:BBE
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    • 제9권4호
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    • pp.285-291
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    • 2004
  • A simulated moving bed (SMB) chromatography system is a powerful tool for preparative scale separation, which can be applied to the separation of chiral compound. We have de-signed our own lab-scale SMB chromatography using 5 HPLC pumps, 6 stainless steel columns and 4 multi-position valves, to separate a racemic mixture of ketoprofen in to its enantiomers. Our design has the characteristics of the low cost for assembly for the SMB chromatography and easy repair of the unit, which differs from the designs suggested by other investigators. It is possible for the flow path through each column to be independently changed by computer control, using 4 multi-position rotary valves and 5 HPLC solvent delivery pumps. In order to prove the operability of our SMB system, attempts were made to separate the (S)-ketoprofen enantiomer from a ketoprofen racemic mixture. The operating parameters of the SMB chromatography were calculated for ketoprofen separation from a batch chromatography experiment as well as by the triangle theory. With a feed concentration of 1 mg/mL, (S)-ketoprofen was obtained with a purity of 96% under the calculated operating conditions.

폴리(아크릴로니트릴-비닐포스포닉산) 공중합체 막을 이용한 피리딘-물 혼합물의 투과증발분리 (Pervaporation of Pyridine-Water Mixture throuoh Poly(acrylonitrile-co-vinyl phosphonic acid) membrane)

  • 박춘호;남상용;김원;이영무
    • 한국막학회:학술대회논문집
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    • 한국막학회 1998년도 춘계 총회 및 학술발표회
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    • pp.89-92
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    • 1998
  • 1. Introduction : Among many azeotropic compounds, pyridine which forms an azeotropic mixture with three moles of water boiling at 92-93$\circ$C is very useful synthetic intermediate in laboratory and industry. With conventional separation method, the dehydration of pyridine aqueous solution is difficult and requires strong drying chemicals. To overcome these difficulties, several researchers have investigated on the separation of pyridine from aqueous solution through polymer membranes. Kujawski reported several ion-exchang membranes containing carboxylic and sulfonic fuctional group for dehydration of aqueous pyridine solution [1]. We have applied the idea of activation of water tranport through ion-dipole interactions between polymer membrane and aclueous feed. Our previous studies reported on the in-situ complex membrane to separate water from aqueous pyridine solution based on simple acid'-base theory [2, 3]. Water transport was enhanced through in-situ complex formation between the , acid moiety in the membrane and the incoming pyridine moiety in the feed.

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Phase Behavior of Binary and Ternary Blends Having the Same Chemical Components and Compositions

  • Yoo, Joung-Eun;Kim, Yong;Kim, Chang-Keun;Lee, Jae-Wook
    • Macromolecular Research
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    • 제11권5호
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    • pp.303-310
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    • 2003
  • The phase behavior of binary blends of dimethylpolycarbonate-tetramethyl polycarbonate (DMPCTMPC) copolycarbonates and styrene-acrylonitrile (SAN) copolymers has been examined and then compared with that of DMPC/TMPC/SAN ternary blends having the same chemical components and compositions except that the DMPC and TMPC were present in the form of homopolymers. Both binary and ternary blends were miscible at certain blends compositions, and the miscible blends showed the LCST-type phase behavior or did not phase separated until thermal degradation temperature. The miscible region of binary blends is wider than that of the corresponding ternary blends. Furthermore, the phase-separation temperatures of miscible binary blends are higher than those of miscible ternary blends at the same chemical compositions. To explain the destabilization of polymer mixture with the increase of the number of component, interaction energies of binary pairs involved in these blends were calculated from the phase separation temperatures using lattice-fluid theory and then the phase stability conditions for the polymer mixture was analyzed with volume fluctuation thermodynamics.