• Title/Summary/Keyword: Two-Phase Theory

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Stress analysis of a two-phase composite having a negative-stiffness inclusion in two dimensions

  • Wang, Yun-Che;Ko, Chi-Ching
    • Interaction and multiscale mechanics
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    • v.2 no.3
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    • pp.321-332
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    • 2009
  • Recent development in composites containing phase-transforming particles, such as vanadium dioxide or barium titanate, reveals the overall stiffness and viscoelastic damping of the composites may be unbounded (Lakes et al. 2001, Jaglinski et al. 2007). Negative stiffness is induced from phase transformation predicted by the Landau phase transformation theory. Although this unbounded phenomenon is theoretically supported with the composite homogenization theory, detailed stress analyses of the composites are still lacking. In this work, we analyze the stress distribution of the Hashin-Shtrikman (HS) composite and its two-dimensional variant, namely a circular inclusion in a square plate, under the assumption that the Young's modulus of the inclusion is negative. Assumption of negative stiffness is a priori in the present analysis. For stress analysis, a closed form solution for the HS model and finite element solutions for the 2D composite are presented. A static loading condition is adopted to estimate the effective modulus of the composites by the ratio of stress to average strain on the loading edges. It is found that the interfacial stresses between the circular inclusion and matrix increase dramatically when the negative stiffness is so tuned that overall stiffness is unbounded. Furthermore, it is found that stress distributions in the inclusion are not uniform, contrary to Eshelby's theorem, which states, for two-phase, infinite composites, the inclusion's stress distribution is uniform when the shape of the inclusion has higher symmetry than an ellipse. The stability of the composites is discussed from the viewpoint of deterioration of perfect interface conditions due to excessive interfacial stresses.

XBRL Adoption Process in Malaysia Using Diffusion of Innovation Theory

  • ILIAS, Azleen;GHANI, Erlane K.;AZHAR, Zubir
    • The Journal of Asian Finance, Economics and Business
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    • v.8 no.2
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    • pp.263-271
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    • 2021
  • The study examined the XBRL adoption process of Malaysian Business Reporting System (MBRS) by utilizing Everett Rogers' Diffusion of Innovation (DOI) theory. The study focused on the three phases, namely, knowledge gathering and persuasion phase, decision-making phase, and implementation phase of XBRL adoption process gathered from a government agency in Malaysia. This study employs a qualitative case study that incorporates semi-structured interviews with four members of the regulator. The results reveal that the regulator has realized the advantages, management support, and need to skills development in phase one. On the other hand, in phase two, it finds the way the regulator makes decision related to XBRL taxonomy and submission template, platform, tools and software. Through phase three, the regulator is concerned with the complexity of XBRL taxonomy, resources, external support, promotion, stakeholder involvement, limited trading pressure, critical mass, and professional bodies. The factors from each phase suggest an in-depth understanding on the experience of XBRL through the development of MBRS that provides a success story to the other government agencies and regulators in Malaysia. This study provides several insights on the factors that could contribute to the adoption of XBRL and the Diffusion of Innovation theory adoption process.

Geometrical Construction of the S Matrix and Multichannel Quantum Defect Theory for the two Open and One Closed Channel System

  • Lee, Chun-Woo
    • Bulletin of the Korean Chemical Society
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    • v.23 no.7
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    • pp.971-984
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    • 2002
  • The multichannel quantum defect theory (MQDT) is reformulated into the form of the configuration mixing (CM) method using the geometrical construction of the S matrix developed for the system involving two open and one closed channels. The reformulation is done by the phase renormalization method of Giusti-Suzor and Fano. The rather unconventional short-range reactance matrix K whose diagonal elements are not zero is obtained though the Lu-Fano plot becomes symmetrical. The reformulation of MQDT yields the partial cross section formulas analogous to Fano's resonance formula, which has not easily been available in other's work.

Phenomenological Theory of Superconductivity and Magnetism in Ho$_{1-x}Dy_xNi_2B_2C$

  • Doh, Hyeon-Jin;Sigrist, Manfred;Cho, B.K.;Lee, Sung-Ik
    • 한국초전도학회:학술대회논문집
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    • v.9
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    • pp.196-199
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    • 1999
  • The coexistence of the superconductivity and magnetism in the Ho1-xDyxNi2B2C is studied by using Ginzburg-Landau theory. This material violates the standard do Gennes scaling showing the coexistence and complex interplay of superconducting and magnetic order yielding an anomalous phase diagram. We propose a phenomenological model which includes two magnetic and two superconducting order parameters accounting for the multi-band structure of this material. We describe the magnetic fluctuations and order and demonstrate that they lead to anomalous behavior of the upper critical field. The doping dependence of Tc in Ho1-xDyxNi2B2C showing a reentrance behavior are analyzed yielding a very good agreement with experimental data.

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Micropolar thermoelastic medium with voids under the effect of rotation concerned with 3PHL model

  • Othman, Mohamed I.A.;Alharbi, Amnah M.;Al-Autabi, Al-Anoud M. Kh.
    • Geomechanics and Engineering
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    • v.21 no.5
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    • pp.447-459
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    • 2020
  • This paper aims to investigate the effect of rotation on a micropolar thermoelastic medium with voids problem. The problem is assessed according to three-phase-lag model. The normal mode analysis used to obtain the analytical expressions of the considered variables. The non-dimensional displacement, temperature, Micro rotation, the change in the volume fraction field, and stress of the material are obtained and illustrated graphically. Comparisons are made with the results predicted by two theories; namely three- phase-lag model (3PHL) and Green-Naghdi theory of type III (G-N III). The considered variables were plotted for different values of the rotation parameter, the phase-lag of heat flux and the phase-lag of temperature. The numerical results reveal that the rotation and the phase-lag times significantly influence the distribution of the field quantities. Some particular cases of interest are deduced from the present investigation.

Steady-State Characteristic Analysis of Single-Phase Line-Start Permanent Magnet Synchronous Motor (단상 영구자석형 유도동기기의 정상상태 특성해석)

  • Kang, Gyu-Hong;Nam, Hyuk;Hong, Jung-Pyo
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.2
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    • pp.53-60
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    • 2003
  • This paper deals with steady-state analysis of a single-phase line-start permanent magnet synchronous motor. In order to analyze the steady-state characteristics, the asymmetric single-phase line-start synchronous motor is converted to the symmetric two-phase synchronous motor, that is, the asymmetric magnetic field is separated from the positive and the negative symmetric components using symmetrical-component theory. The analysis method of the synchronous motor on the d-q axis coordinates is used for the positive component and the equivalent circuit of the induction motor is applied for the negative component analysis. Moreover, d-q axis inductance considering current phase angle is applied to positive component analysis for precise characteristic analysis. In order to validate the proposed analysis method, the analysis results are compared with the experimental results.

Phase Behavior of Reversibly Associating Star Copolymer-like Polymer Blends

  • June Huh;Kim, Seung-Hyun;Jo, Won-Ho
    • Macromolecular Research
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    • v.10 no.1
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    • pp.18-23
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    • 2002
  • We theoretically consider blends of two monodisperse one-end-functionalized homopolymers (denoted by A and B) capable of forming clusters between functional groups (stickers) using weak segregation theory. In this model system resulting molecular architectures via clustering resemble star copolymers having many A- and B-arms. Minimizing the total free energy with respect the cluster distribution, the equilibrium distribution of clusters is obtained and used for RPA (Random Phase Approximation) equations as input. For the case that polymers are functionalized by only one kind of sticker, the phase diagrams show that the associations promote the macrophase separation. When there is strong affinity between stickers belonging to the different polymer species, on the other hand, the phase diagram show a suppression of the macrophase separation at the range of high temperature regime, as well as the phase coexistence between a disordered and a mesoscopic phase at the relatively lower temperatures.

Induction Motor Speed Control System using Two Phase SRPP-PWM Scheme (2상 SRPP-PWM 기법을 사용한 유도모터 속도제어 시스템)

  • Wi Seog-Oh;Kim Jung-Kun;Lim Young-Cheol;Jung Young-Gook
    • Proceedings of the KIPE Conference
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    • 2002.11a
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    • pp.25-28
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    • 2002
  • In this paper, 2 phase modulated SRPP-PWM(Separately Random Pulse Position PWM) is proposed. This PWM technique is based on the 2 phase modulated SVPWM(Space Vector Pulse Width Modulation). In according to the theory of SVPWM, 2 phase modulated SVPWM uses two pulses, not three pulses as in 3 phase modulated SVPWM. In the proposed SRPP-PWM scheme, each of two phase pulses is located randomly in each switching interval. The experimental results show that the voltage and switching noise harmonics are spread to a wide band area. Also, the performance of the proposed 2 phase modulated SRPP-PWM and the conventional SVPWM are compared to each other In result, the speed response is nearly similar to each other from the viewpoint of the v/f constant control.

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Out-of-phase and in-phase vibrations and energy absorption of coupled nanoplates on the basis of surface-higher order-viscoelastic-couple stress theories

  • Guangli Fan;Maryam Shokravi;Rasool Javani;Suxa Hou
    • Steel and Composite Structures
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    • v.50 no.4
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    • pp.403-418
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    • 2024
  • In this paper, vibration and energy absorption characteristics of a nanostructure which is composed of two embedded porous annular/circular nanoplates coupled by a viscoelastic substrate are investigated. The modified couple stress theory (MCST) and the Gurtin-Murdoch theory are applied to take into account the size and the surface effects, respectively. Furthermore, the structural damping effect is probed by the Kelvin-Voigt model and the mathematical model of the problem is developed by a new hyperbolic higher order shear deformation theory. The differential quadrature method (DQM) is employed to obtain the out-of-phase and in-phase frequencies of the structure in order to predict the dynamic response of it. The acquired results reveal that the vibration and energy absorption of the system depends on some factors such as porosity, surface stress effects, material length scale parameter, damping and spring constants of the viscoelastic foundation as well as geometrical parameters of annular/circular nanoplates. A bird's-eye view of the findings in the research paper offers a comprehensive understanding of the vibrational behavior and energy absorption capabilities of annular/circular porous nanoplates. The multidisciplinary approach and the inclusion of porosity make this study valuable for the development of innovative materials and applications in the field of nanoscience and engineering.

Assessment of Possibility on the Human Risk for the Electromagnetic Field of Unbalanced Two Coupled Three-phase Transmission Line Using Fuzzy Theory (퍼지이론을 이용한 3상 2회선 불평형 송전선로에서의 전자계에 대한 인체 위험 가능성평가)

  • Kim, Sang-Chul;Kim, Doo-Hyun
    • Journal of the Korean Society of Safety
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    • v.21 no.2 s.74
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    • pp.22-28
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    • 2006
  • This paper presents assessment of possibility on the human risk for the electromagnetic field of unbalanced two coupled three-phase transmission line using fuzzy theory. Three phase load flow program was developed which employed a Newton-Raphson method as a tool to analyze system unbalanced. This research presents a method of handling two coupled three phase transmission system unbalance analysis and unbalanced power demand as a function of voltages. As the results of case study, in case of 345[kV] T/L, the electric field intensity was 10.9540[kV/m], magnetic field intensity was 0.2567[G] in severest case. The results showed that the membership of a proposition fuzzy '10.9540 [kV/m] is hazardous' is 0.6349. As the analytic results using the fuzzy qualifier term, the membership in case of very false is 0.1379 and fairly false is 0.6124, respectively. In assessment of fuzzy measure possibility for the electromagnetic field, this paper used probability of fuzzy arid measure of fuzziness technique.