• Title/Summary/Keyword: J-A model

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Research Trends in Large Language Models and Mathematical Reasoning (초거대 언어모델과 수학추론 연구 동향)

  • O.W. Kwon;J.H. Shin;Y.A. Seo;S.J. Lim;J. Heo;K.Y. Lee
    • Electronics and Telecommunications Trends
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    • v.38 no.6
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    • pp.1-11
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    • 2023
  • Large language models seem promising for handling reasoning problems, but their underlying solving mechanisms remain unclear. Large language models will establish a new paradigm in artificial intelligence and the society as a whole. However, a major challenge of large language models is the massive resources required for training and operation. To address this issue, researchers are actively exploring compact large language models that retain the capabilities of large language models while notably reducing the model size. These research efforts are mainly focused on improving pretraining, instruction tuning, and alignment. On the other hand, chain-of-thought prompting is a technique aimed at enhancing the reasoning ability of large language models. It provides an answer through a series of intermediate reasoning steps when given a problem. By guiding the model through a multistep problem-solving process, chain-of-thought prompting may improve the model reasoning skills. Mathematical reasoning, which is a fundamental aspect of human intelligence, has played a crucial role in advancing large language models toward human-level performance. As a result, mathematical reasoning is being widely explored in the context of large language models. This type of research extends to various domains such as geometry problem solving, tabular mathematical reasoning, visual question answering, and other areas.

Development of Analysis Method for Forming of Sandwich Sheet with Pyramid Core (피라미드 코어를 가진 샌드위치 판재의 성형해석기술 개발)

  • Lim, S.J.;Kim, J.H.;Seong, Dae-Yong;Yang, Dong-Yeol;Chung, W.J.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2007.05a
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    • pp.266-267
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    • 2007
  • Sandwich sheet with inner structure is expected to find many applications because of high stiffness to mass ratio. In order to simulate forming of sandwich sheet with pyramid core, an effective simulation method is required. Compared to the expensive model using solid elements, cost effective model using simplified elements such as shells and beams is developed. By comparing two models in terms of the cost and accuracy for unit cell deformation, a developed model shows some advantages over the model using solid elements. Evolution of two kind of forming limits, face buckling and core buckling are successfully expressed by developed model. Developed model is also applied in the simulation of square cup drawing and L-type bending. The corresponding experiments are carried out. Deformation shape and wrinkling behavior are compared and discussed. It is found that simulation results using a developed model are in good agreement with experiments.

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Evaluation of J-integrals by Finite Element Model Based on EDI Method (EDI방법에 의한 유한요소모델의 J-적분값 산정)

  • 신성진;홍종현;우광성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.62-69
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    • 1996
  • In this study, an equivalent domain integral (EDI) method is presented to estimate the track-till integral parameter, J-value, for two dimensional cracked elastic bodies which may quantify the severity of the crack-tit) stress fields. The conventional J-integral method based on line integral has been converted to equivalent area or domain integrals by using the divergence theorem. It is noted that the EDI method is very attractive because all the quantities necessary for computation of the domain integrals are readily available in a finite element analysis. The details and its implementation are extened to both h-version finite element model with 8-node isoparametric element and p-version finite element model with high order hierarchic element using Legendre type shape fuctions. The variations with respect to the different path of domain integrals from the crack-tip front and the choice of 5-function have been tested by several examples.

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Optimum forming design of A350 LF2 alloy using the deformation processing map (변형 공정지도를 활용한 A350 LF2 합금의 최적성형 조건설계에 대한 연구)

  • Jung, E.J.;Yeom, J.T.;Kim, J.H.;Lee, D.G.;Pak, N.K.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2006.05a
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    • pp.168-171
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    • 2006
  • Hot deformation behavior of A350 LF2 alloy was characterized by compression tests in the temperature range of 800-$1250^{\circ}C$ and the strain rate range of $0.001-10s^{-1}$. The microstructural evolution during hot compression was investigated and deformation mechanisms were analyzed by constructing processing map. Processing maps were generated using the dynamic material model (DMM). The combination of dynamic material model and Ziegler's instability criterion was applied to predict an optimum condition and unstable regions for hot forming.

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An analytical model for the prediction of strip temperatures in hot strip rolling (열간 압연 중 판의 온도 분포 모델 개발)

  • Kim, J.B.;Lee, J.H.;Hwang, S.M.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.04a
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    • pp.97-102
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    • 2009
  • In hot strip rolling, sound prediction of the temperature of the strip is vital for achieving the desired finishing mill draft temperature (FDT). In this paper, a precision on-line model for the prediction of temperature distributions along the thickness of the strip in the finishing mill is presented. The model consists of an analytic model for the prediction of temperature distributions in the inter-stand zone, and a semi-analytic model for the prediction of temperature distributions in the bite zone in which thermal boundary conditions as well as heat generation due to deformation are predicted by finite element-based, approximate models. The prediction accuracy of the proposed model is examined through comparison with predictions from a finite element process model.

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Asymmetric Yield Functions Based on the Stress Invariants J2 and J3(II) (J2 와 J3 불변량에 기초한 비대칭 항복함수의 제안(II))

  • Kim, Y.S;Nguyen, P.V.;Ahn, J.B.;Kim, J.J.
    • Transactions of Materials Processing
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    • v.31 no.6
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    • pp.351-364
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    • 2022
  • The yield criterion, or called yield function, plays an important role in the study of plastic working of a sheet because it governs the plastic deformation properties of the sheet during plastic forming process. In this paper, we propose a modified version of previous anisotropic yield function (Trans. Mater. Process., 31(4) 2022, pp. 214-228) based on J2 and J3 stress invariants. The proposed anisotropic yield model has the 6th-order of stress components. The modified version of the anisotropic yield function in this study is as follows. f(J20,J30) ≡ (J20)3 + α(J30)2 + β(J20)3/2 × (J30) = k6 The proposed anisotropic yield function well explains the anisotropic plastic behavior of various sheets such as aluminum, high strength steel, magnesium alloy sheets etc. by introducing the parameters α and β, and also exhibits both symmetrical and asymmetrical yield surfaces. The parameters included in the proposed model are determined through an optimization algorithm from uniaxial and biaxial experimental data under proportional loading path. In this study, the validity of the proposed anisotropic yield function was verified by comparing the yield surface shape, normalized uniaxial yield stress value, and Lankford's anisotropic coefficient R-value derived with the experimental results. Application for the proposed anisotropic yield function to AA6016-T4 aluminum and DP980 sheets shows symmetrical yielding behavior and to AZ31B magnesium shows asymmetric yielding behavior, it was shown that the yield locus and yielding behavior of various types of sheet materials can be predicted reasonably by using the proposed anisotropic yield function.

A Study on Impact Analysis of the Korean Anthropometric Characteristic on Shooting (한국인의 인체 특성을 고려한 사격시 충격특성 해석)

  • Lee, J.W.;Lee, Y.S.;Choi, Y.J.;Chae, J.W.;Choi, E.J.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.150-153
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    • 2005
  • The rifle impact of human body is affected by geometry of human for rifling. The interaction of human-rifle system influence a firing accuracy. In this paper, impact analysis of human model for standing postures with two B.C. carried out. ADAMS code and LifeMOD is used in impact analysis of human model and modeling of the human body, respectively. On the shooting, human model is affected by rifle impact during the 0.001 second. Also, Because Human Natural frequency is 5-200Hz, human impact is considered during 0.2-0.005 sec. Dut to the Firng test, Performed simulation time for shooting is 0.1 second. Applied constraint condition to human-rifle system is rotating and spherical condition. Also, The resulrt of changin the position of the grip is dfferent from the each other. As the results, The human model of firing was built successfully.

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The Values of J-integral and Shapes of Plastic Zone Near a Crack Tip of Cracked Panels by the $\rho$-Version of F.E.M. ($\rho$-Version 유한요소법에 의한 균열판의 소성역 형상과 J-적분값 산정)

  • 홍종현;우광성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.42-49
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    • 1999
  • Because the linear elastic tincture analysis has been proved to be insufficient in predicting the failure of cracked bodies, in recent years, a number of fracture concepts have been studied which remain applicable in the presence of large-scale plasticity near a crack tip. This work thereby presents a new finite element model, as accurate as possible, to analyze plane problems of ductile fracture under large-scale yielding conditions. Based on the incremental theory of plasticity, the p-version finite element analysis is employed to account for the values of J-integral, the most dominant fracture parameter, and the shape of plastic zone near a crack tip by using the J-integral method and equivalent domain integral method. The numerical results by the proposed model are compared with the theoretical solutions in literatures and the numerical solutions by the i,-version of F.E.M.

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Torque Formularization of Harmonic Side Drive Motor by Cnformal Mapping (등각사상을 이용한 하모닉 모터의 토크 정식화)

  • Yun, S.J.;Lee, E.W.;Lee, D.J.;Lee, J.H.;Jeong, J.H.
    • Proceedings of the KIEE Conference
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    • 1998.07a
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    • pp.67-69
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    • 1998
  • In order to design or predict the performance of a cylindrical electrostatic motor it is necessary to analyze the torque generated by such a structure. In this paper a simple but sufficiently accurate analytical model is developed for use in design. Conformal mapping are used to model the capacitance and torque of the motor as a function of the rotor position, using a quasi-static, two-dimension approximation, the effect of an insulating dielectric layer on the stator or rotor is also evaluated.

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