• Title/Summary/Keyword: Internal State Variable

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Homogenization based continuum damage mechanics model for monotonic and cyclic damage evolution in 3D composites

  • Jain, Jayesh R.;Ghosh, Somnath
    • Interaction and multiscale mechanics
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    • v.1 no.2
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    • pp.279-301
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    • 2008
  • This paper develops a 3D homogenization based continuum damage mechanics (HCDM) model for fiber reinforced composites undergoing micromechanical damage under monotonic and cyclic loading. Micromechanical damage in a representative volume element (RVE) of the material occurs by fiber-matrix interfacial debonding, which is incorporated in the model through a hysteretic bilinear cohesive zone model. The proposed model expresses a damage evolution surface in the strain space in the principal damage coordinate system or PDCS. PDCS enables the model to account for the effect of non-proportional load history. The loading/unloading criterion during cyclic loading is based on the scalar product of the strain increment and the normal to the damage surface in strain space. The material constitutive law involves a fourth order orthotropic tensor with stiffness characterized as a macroscopic internal variable. Three dimensional damage in composites is accounted for through functional forms of the fourth order damage tensor in terms of components of macroscopic strain and elastic stiffness tensors. The HCDM model parameters are calibrated from homogenization of micromechanical solutions of the RVE for a few representative strain histories. The proposed model is validated by comparing results of the HCDM model with pure micromechanical analysis results followed by homogenization. Finally, the potential of HCDM model as a design tool is demonstrated through macro-micro analysis of monotonic and cyclic damage progression in composite structures.

The Remote Control of Flyback Converter using TMS320F2812 (TMS320F2812를 이용한 Flyback 컨버터의 원격제어)

  • Sim, Sang-Bo;Kim, Youn-Seo;Yang, Oh
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.690-692
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    • 2004
  • Differently from an existing analog control, because the digital control includes microprocessor basically, the digital control is enable to monitor internal parameters of DC-DC converter and to control output voltage remotely by communicating with a Windows based PC and also to monitor whether exact voltage is output or not. These things are impossible in an analog control. In this paper, a simple flyback converter is taken as a control target and is controlled by a microcontroller(TMS320F2812). This converter can make variable outputs 1.8V to 5V from 30V input voltage remotely in PC. Finally the response characteristics of a step reference voltage and in a steady state are experimented to verify the feasibility and the usefulness of this digital controlled converter.

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Prediction of microstructure during high temperature forming of Ti-6Al-4V alloy (Ti-6Al-4V 합금의 고온성형 시 미세조직 예측에 관한 연구)

  • 이유환;신태진;황상무;이종수
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.57-60
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    • 2003
  • The purpose of this study is to investigate the high temperature deformation behavior of Ti-6Al-4V alloy and to predict the final microstructure under given forming conditions. Equiaxed and widmanstatten of Ti-6Al-4V alloys were prepared as initial microstructure and the compression tests were performed to obtain the flow curves at high temperatures (700∼1100$^{\circ}C$) and various strain rates (10$\^$-4/∼10$^2$/s). Form the results of compression test various parameters such as strain rate sensitivity (m) and activation energy (Q) were calculated and used to establish constitutive equations. To predict the final microstructure after forming, finite element analysis was performed considering the microstructural parameters such as the grain size and the volume fraction of second phase.

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Stress relaxation of ABS polymer melts. 1. Effect of weight fraction of rubber particle

  • Cho, Kwang-Soo;Park, Joong-Hwan;Kim, Sang-Yong;Youngdon Kwon
    • Korea-Australia Rheology Journal
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    • v.12 no.3_4
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    • pp.157-163
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    • 2000
  • We develop a simple model which can describe and explain abnormal stress relaxation of ABS melt for which stress dose not exponentially decay. The relaxation behavior of ABS melt consists of two distinct relaxation modes. One is the relaxation of the matrix phase similar to the case of homopolymer melt. The other is manifested by the collection of butadiene rubber particles, named as the cluster, where the particles are connected through the interaction between grafted SAN and matrix SAN. The second mode of the relaxation is characterized by the relaxation time, which is a function of the average size and the microscopic state of the cluster. Experimental results reveal that it can be represented as the product of the average size of the clusters by a function of internal variable that represents the fraction of strained SAN chains inside the cluster.

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Resonance Frequency of the Natural Convection in the Closure Cavity for the Variable Aspect Ratio (종횡비가 변하는 공동 내 자연대류의 공진주파수)

  • Chun, Kun-Ho;Joo, Kwang-Sup;Choi, Young-Don
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.609-614
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    • 2000
  • This numerical study investigate resonance frequency of natural convection for steady state, periodic flow and chaotic flow in two-dimensional direct numerical simulations, differentially heated, vertical cavities having aspect ratios near unity. The enclosure cavity has isothermal and time dependent temperature side walls and adiabatic top/bottom walls. The aspect ratio is 1/3, 1/2, 1, 2, and 3 for the varying Rayleigh number. Resonance frequency for AR=1 has decrease as the aspect ratio and the Rayleigh number are increasing.

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An Improved Constitutive Model of Shape Memory Alloy (형상기억합금의 개선된 구성적 모델)

  • Ho, Kwang-Soo
    • Transactions of Materials Processing
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    • v.20 no.5
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    • pp.350-356
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    • 2011
  • Shape memory alloys(SMAs) exhibit pseudoelastic behavior, characterized by the recovery of an original shape even after severe deformation, during loading and unloading within appropriate temperature regimes. The distinctive mechanical behavior is associated with stress-induced transformation of austenite to martensite during loading and reverse transformation to austenite upon unloading. To develop a material model for SMAs, it is imperative to consider the difference in moduli of active phases. For example, the Young’s modulus of the martensite is one-third to one half of that of the austenite. The model proposed herein is a modification of the one proposed recently by Ho[17]. The prediction of the behavior of SMAs during unloading before the onset of reverse transformation was improved by introducing a new internal state variable incorporating the variation of the elastic modulus.

Prediction of Microstructure During High Temperature Forming of Ti-6Al-4V Alloy (Ti-6Al-4V 합금의 고온성형시 미세조직 예측에 관한 연구)

  • 이유환;신태진;황상무;박노광;심인옥;이종수
    • Transactions of Materials Processing
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    • v.12 no.4
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    • pp.290-295
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    • 2003
  • High temperature deformation behavior and prediction of final microstructure after forming of Ti-6Al-4V alloy were investigated in this study. Equiaxed and Widmanstatten microstructures of Ti-6Al-4V alloys were prepared as initial microstructures and compression tests were performed to obtain the flow curves at high temperatures (700∼110$0^{\circ}C$) and various strain rates (10$^{-4}$ ∼10$^2$/s). From the results of compression test, strain rate sensitivity (m) and activation energy (Q) were calculated and used to establish constitutive equation. To predict the final microstructure after farming, finite element analysis was performed considering the microstructural parameters such as grain size and volume fraction of second phase.

Protection relaying algorithm for DFIG using a DQ equivalent circuit (DQ 등가회로를 이용한 DFIG 보호계전방식)

  • Kang, Yong-Cheol;Lee, Ji-Hoon;Jang, Sung-Il;Kim, Yong-Gyun
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.23-24
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    • 2007
  • Most of modern wind turbines employs a doubly-fed induction generator (DFIG) system because it has many advantages due to variable-speed operation, relatively high efficiency and it small converter size. The DFIG system uses a wound rotor induction machine so that the magnetizing current of the generator can be fed from both the stator and the rotor. This paper presents a protection relaying algorism for DFIG using the DQ equivalent circuits. The induced voltages calculated from the stator and rotor sides are nearly the same in the steady state. They become different in the DQ equivalent circuits during an internal fault. The proposed algorithm compares the inducted voltages estimated from the stator and the rotor circuit converted into the stationary reference frame. If the difference between the induced voltages exceeds the threshold, the proposed algorithm detects an turn-to-turn fault.

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Experiment and Electro-Thermo-Chemical Modeling on Rapid Resistive Discharge of Large-Capacity Lithium Ion Battery

  • Doh, Chil-Hoon;Ha, Yoon-Cheol;Eom, Seung-Wook;Yu, Jihyun;Choe, Seon-Hwa;Kim, Seog-Whan;Choi, Jae-Won
    • Journal of Electrochemical Science and Technology
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    • v.13 no.3
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    • pp.323-338
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    • 2022
  • Heat generation and temperature of a battery is usually presented by an equation of current. This means that we need to adopt time domain calculation to obtain thermal characteristics of the battery. To avoid the complicated calculations using time domain, 'state of charge (SOC)' can be used as an independent variable. A SOC based calculation method is elucidated through the comparison between the calculated results and experimental results together. Experiments are carried for rapid resistive discharge of a large-capacitive lithium secondary battery to evaluate variations of cell potential, current and temperature. Calculations are performed based on open-circuit cell potential (SOC,T), internal resistance (SOC,T) and entropy (SOC) with specific heat capacity.

Dynamic Modeling and Characteristics Analysis of Solid Rocket Motor with Multi Axis Pintle Nozzles (다축 핀틀 노즐을 장착한 고체 추진기관의 동적 모델링 및 특성 분석)

  • Ki, Taeseok;Hong, Seokhyun;Park, Ik-soo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.19 no.3
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    • pp.20-28
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    • 2015
  • Performance parameters of solid rocket motor with multi axis pintle nozzles were analyzed theoretically and modeled. For figuring out the governed variable of dynamic characteristics of system, dynamic analysis was done by using established model. To present characteristics of this system, the model should include not only internal ballistics of propulsion unit but also actuating system to move pintle. For solid rocket motor with multi axis pintle nozzles, not only performance of steady state but also dynamic characteristic of transient state is important design parameter to precise thrust control. Therefore, response time of open-loop system was analyzed by using established model and requirement about response time was satisfied by controlling pressure.