• Title/Summary/Keyword: $D^*$criterion

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An elliptical fracture criterion for mixed mode fracture I+II emanating from notches

  • El Minor, H.;Pluvinage, G.;Azari, Z.
    • Structural Engineering and Mechanics
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    • v.26 no.1
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    • pp.87-97
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    • 2007
  • Some mixed mode fracture criterion may be converted in to elliptical or ellipsoidal formula with the aid of mathematical translation. Hence, the crack initiation in mixed mode fracture I+II emanating from notches, has been studied using notched circular ring specimens. On the basis of Irwin (1957) theory, a new criteria in mixed mode fracture I+II, based fracture elliptic criterion and notch stress intensity factors has been developed.

CONNECTIONS ON REAL PARABOLIC BUNDLES OVER A REAL CURVE

  • Amrutiya, Sanjay
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.1101-1113
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    • 2014
  • We give analogous criterion to admit a real parabolic connection on real parabolic bundles over a real curve. As an application of this criterion, if real curve has a real point, then we proved that a real vector bundle E of rank r and degree d with gcd(r, d) = 1 is real indecomposable if and only if it admits a real logarithmic connection singular exactly over one point with residue given as multiplication by $-\frac{d}{r}$. We also give an equivalent condition for real indecomposable vector bundle in the case when real curve has no real points.

Characteristics of One Step Advanced Discrete Time D-Control with Time Delay in Noncolocated Flexible System (비병치 유연계의 시간지연 이산제어에서 한스텝선행 미분제어기의 특성)

  • Kang, Min-Sig
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1678-1685
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    • 1993
  • This paper considers a time delay control of noncolocated flexible mechanical systems in discrete time domain. A stability criterion suggested in the previous paper is,extended in the consideration of infinite mode property of flexible systems and finite control sampling frequency. Based on the stability criterion, the one step advanced discrete time derivative control is suggested, which can stabilize infinite number of modes of a flexible system. The sensitivity analysis shows the robustness of the one step advanced control to the system parameter uncertainties and time delay errors. Application to a simply supported beam verifies the extended stability criterion and the effectiveness of the one step advanced D-control.

Visualization of 4-Dimensional Scattered Data Linear Interpolation Based on Data Dependent Tetrahedrization (4차원 산포된 자료 선형 보간의 가시화 -자료 값을 고려한 사면체 분할법에 의한-)

  • Lee, Kun
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.6
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    • pp.1553-1567
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    • 1996
  • The numerous applications surface interpolation include the modeling and visualization phenomena. A tetrahedrization is one of pre-processing steps for 4-D space interpolation. The quality of a piecewise linear interpolation 4-D space depends not only on the distribution of the data points in $R^2$, but also on the data values. We show that the quality of approximation can be improved by data dependent tetraheadrization through visualization of 4-D space. This paper discusses Delaunary tetrahedrization method(sphere criterion) and one of the data dependent tetrahedrization methods(least squares fitting criterion). This paper also discusses new data dependent criteria:1) gradient difference, and 2) jump in normal direction derivative.

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Re-prioritizing of Prospective and Strategic Technologies for Future Agricultural Mechanization using AHP (AHP를 이용한 농업기계분야의 미래 유망 및 전략 기술에 대한 우선순위 재설정)

  • Cho, K.T.;Chang, D.I.;Shin, B.C.;Han, J.I.;Kim, J.Y.;Lee, J.I.
    • Journal of Biosystems Engineering
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    • v.33 no.2
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    • pp.142-148
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    • 2008
  • The study was focused on setting priority for future core technologies in agricultural mechanization using AHP (Analytic Hierarchy Process). A total of 23 technologies was selected by specialists. Evaluation criteria for the priority setting were decided as 'technology', 'marketability', and 'publicity'. Thirteen specialists in agricultural mechanization answered the questionnaire for AHP. As the results, 'technology' was decided as the most important evaluation criterion. 'feasibility' in 'technology' criterion, 'market growth' in 'marketability' criterion, and 'impact to other industry' in 'publicity' criterion were decided as sub-criteria in each criterion. The most important technology was 'Development of portable safety evaluation system for fresh and convenient agricultural products'.

Adaptive Structure of Wavelet Neural Network with Geometric Growing Criterion (기하학적인 성장기준을 적용한 웨이브렛 신경망의 적응 구조 설계)

  • 서재용;김성주;조현찬;전홍태
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.6
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    • pp.449-453
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    • 2001
  • In this paper, we propose an algorithm to design the adaptive structure of wavelet neural network with F-projection and geometric growing criterion. Geometric growing criterion consists of estimated error criterion considering local error and angle criterion which attempts to assign a wavelet function that is nearly orthogonal to all other existing wavelet functions. These criteria provide a methodology that a network designer can construct wavelet neural network according to one's intention. We apply the proposed constructing algorithm of the adaptive structure of wavelet neural network to approximation problems of 1-D and 2-D function, and evaluate the effectiveness of the proposed algorithm.

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Simulation of the Forming Process of the Shielded Slot Plate for the Molten Carbonate Fuel Cell Using a Ductile Fracture Criterion (연성파괴조건을 사용한 용융탄산염 연료전지용 쉴디드 슬롯 플레이트의 성형 공정 유한요소 해석)

  • Lee, C.W.;Yang, D.Y.;Lee, S.R.;Kang, D.W.;Chang, I.G.;Lee, T.W.
    • Transactions of Materials Processing
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    • v.21 no.5
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    • pp.298-304
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    • 2012
  • The shielded slot plates for a molten carbonate fuel cell(MCFC) have a sheared corrugated trapezoidal pattern. In the FEM simulations for the production of the shielded slot plate, the user material subroutine VUMAT in the commercial FEM software ABAQUS was used to implement a ductile fracture criterion. The critical damage value for the ductile fracture criterion was determined by comparing the experimental results of the shearing process with the simulation results. Using the ductile fracture criterion, the FEM simulation of the three-dimensional forming process of the shielded slot plate was conducted. The effects of the shearing process on the forming process were examined through FEM simulation and experiments. The forming simulation of nine unit cells was conducted. Using the simulation results of the forming process, the deformed shape after springback was calculated. The experimental result shows good agreement with the simulation.

Stability Analysis of Concrete Plugs Using a 3-D Failure Criterion (3차원 파괴조건식을 이용한 콘크리트 플러그의 안전도 평가)

  • Lee, Youn-Kyou;Song, Won-Kyoung;Park, Chul-Whan;Choi, Byung-Hee
    • Tunnel and Underground Space
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    • v.21 no.6
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    • pp.526-535
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    • 2011
  • A new failure criterion for concrete, which takes into account the effect of the intermediate principal stress, is proposed. The new criterion, which takes the advantages from both the Mohr-Coulomb and the Willam-Warnke criteria, is linear in the meridian section, while its octahedral section is always smooth and convex. Fitting the triaxial compression data with the proposed criterion shows the high performance of the new criterion. A new formula for the factor of safety of concrete is defined based on the new failure criterion and it is employed in the stability analysis of the concrete plugs installed in the pilot plant. The new formula for the factor of safety measures the degree of closeness of a stress state to the failure surface in the octahedral plane. Finally, 3-D finite element analyses of pilot plant were carried out to obtain the stress distributions in the plugs. Then, the stress distributions are converted to those of factor of safety by use of the proposed formula. Based on the distribution of factor of safety in the concrete plugs, the stability of the tapered and wedge-shaped plugs is evaluated.

R&D Investment Model for the Information and Telecommunications Technology by Multiple Objective Linear Programming (다목적선형계획법을 이용한 한국 정보통신 기술분야별 R&D 투자규모결정 모형개발 및 사례연구)

  • 이동엽
    • Korean Management Science Review
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    • v.16 no.1
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    • pp.63-74
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    • 1999
  • This paper presents a R&D investment model for the Information and telecommunications(l&T) technology using multiple objective linear programming(MOLP). The MOLP model involves the simultaneous maximization of three linear objective functions associated with three criteria, which are social, technological, and economic criterion. This model is different from the traditional one which only involves the maximization of economic criterion. It yields a suitable R&D investment ratio to each technology field. Its application to the National R&D Project in l&t Industry is also presented. In this application, the Analytic Hierarchy Process(AHP) is proposed to estimate the weights, which used as the coefficients in each objective function of the MOLP model. Then the problem is solved using the interactive method STEM. It is showed that with the aid of STEM, the MOLP model can be useful decision aid in formulation R&D investment plan in l&t industry. It is expected that the MOLP model works as the basis for planning R&D investment strategy in l&T industry.

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ON QUADRATIC FRACTIONAL GENERALIZED SOLID BI-CRITERION TRANSPORTATION PROBLEM

  • Manjusri Basu;Acharya, Debi-Prasad
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.131-143
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    • 2002
  • In this paper hi-criterion quadratic fractional generalized solid transportation problem is studied. An algorithm is developed to obtain the time-cost trade-off pairs and hence identifies the optimum trade-off pairs giving the equal priority to both time and cost. A numerical example is illustrated to support the algorithm.