• 제목/요약/키워드: integral curve

검색결과 165건 처리시간 0.03초

${\Delta}J$-적분을 이용한 점탄성 재료의 피로균열 성장분석 (Analysis of Fatigue Crack Growth in a Viscoelastic Material using ${\Delta}J$-integral)

  • 유성문;지광습;차우 딘 단;이현종;문성호
    • 한국전산구조공학회논문집
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    • 제23권5호
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    • pp.483-491
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    • 2010
  • 본 논문에서는 점탄성 재료의 피로균열 성장을 분석하기 위해 ${\Delta}J$-적분을 이용하였다. J-적분의 계산 시 기존의 수치해석 방법이 아닌 해석적인 적분 해를 도출하여 계산시간을 절감하고 정확도를 크게 높였다. 계산 시 응력확대계수는 특정 균열에 대해 참조하는 방법이 아닌 유한요소해석을 통해 구하는 방법을 사용하였다. 기존의 ${\Delta}K$를 이용한 피로균열 예측과는 달리 크리프 변형계수, 단 두 개의 피로성장 모델 변수만을 가지고 다양한 하중과 하중주기에서의 피로균열 성장을 성공적으로 분석할 수 있었다.

CCT 시험편을 이용한 저탄소강의 J 저항곡선에 관한 연구 (A Study on J-Resistance Curve of Low-Carbon Steel Using Center Cracked Tension Specimen)

  • 고성위
    • 수산해양기술연구
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    • 제22권2호
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    • pp.40-45
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    • 1986
  • In this paper, the I-resistance curve of low-carbon steel with 3 mm thickness was investigated for various crack ratios. The experiments were carried out for the center cracked tension (CCT) specimen with about 50 mm width on an instron machine. The plane stress fracture toughness obtained by the Simpson's formula was Ii. = 24.96 kgffmm. Simpson's formula which considers crack growth in obtaining J integral showed more conservative lin than Rice's and Sumpter's. For materials that may be approximated by the Ramberg and Osgood stress strain law, the relevant crack parameters like the J integral, load line displacement are approximately normalized. Crack driving forces in terms of the I integral are computed for low-carbon steel CCT specimen using the above estimation scheme. Comparison of the prediction with actual experimental measurements by Simpson's formula showed good agreement for several different sized specimen.

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탄소강의 탄소성파괴인성 $J_IC$ 평가에 관한 연구 (A Study on the Elasto-Plastic Fracture Toughness $J_IC$ Evaluation of Carbon Steel)

  • 김희송;안병욱
    • 한국정밀공학회지
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    • 제6권3호
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    • pp.90-99
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    • 1989
  • In this study, J-integral values obtained by various methods, i.e, R-Curve, Unloading Compliance, Strectched Zone Width [SZW], and Acoustic Emission [AE] methods are investigated. Elasto-plastic fracture toughness [$J_IC$] estimations by R-curve method are overestimated than those by SZW method, and those by unloading compliance method is around middle value of them. And the difference between them is little. The $J_IC$ value by AE method was almost agreed with that by SZW, and then proved to be useful. Crack propagation mechanism on fractography is a stable ductile fracture. For the identification of ductile fracture, both fractography analysis and AE method were applied to estimate the characteristics more precisely.

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멤리스터 기반 미분 및 적분제어 회로에서의 커패시턴스 변화에 따른 히스테리시스 곡선 특성 분석 (In Memristor Based Differential or Integral Control Circuit, Hysteresis Curve Characteristic Analysis According to Capacitance)

  • 최진웅;모영세;송한정
    • 한국전기전자재료학회논문지
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    • 제28권10호
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    • pp.658-664
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    • 2015
  • This paper presents an electrical feature analysis of hysteresis curves in memristor differential and intergral control circuit. After making macro model of the memristor device, electric characteristics of the model such as time analysis, frequency dependent DC I-V curves were performed by PSPICE simulation. Also, we made a circuit of memristor-capacitor based on nano-wired memristor device and analyzed the simulated PSPICE results. Finally, we proposed a memristor based differential or integral control circuit, analyzed hysteresis curve characteristic in the control circuit.

ON CERTAIN ESTIMATES FOR ROUGH GENERALIZED PARAMETRIC MARCINKIEWICZ INTEGRALS

  • Daiqing, Zhang
    • 대한수학회보
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    • 제60권1호
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    • pp.47-73
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    • 2023
  • This paper is devoted to establishing certain Lp bounds for the generalized parametric Marcinkiewicz integral operators associated to surfaces generated by polynomial compound mappings with rough kernels given by h ∈ ∆γ(ℝ+) and Ω ∈ Wℱβ(Sn-1) for some γ, β ∈ (1, ∞]. As applications, the corresponding results for the generalized parametric Marcinkiewicz integral operators related to the Littlewood-Paley g*λ functions and area integrals are also presented.

CURVES WITH MAXIMAL RANK, BUT NOT ACM, WITH VERY HIGH GENERA IN PROJECTIVE SPACES

  • Ballico, Edoardo
    • 대한수학회지
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    • 제56권5호
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    • pp.1355-1370
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    • 2019
  • A curve $X{\subset}\mathbb{P}^r$ has maximal rank if for each $t{\in}\mathbb{N}$ the restriction map $H^0(\mathcal{O}_{\mathbb{P}r}(t)){\rightarrow}H^0(\mathcal{O}_X(t))$ is either injective or surjective. We show that for all integers $d{\geq}r+1$ there are maximal rank, but not arithmetically Cohen-Macaulay, smooth curves $X{\subset}\mathbb{P}^r$ with degree d and genus roughly $d^2/2r$, contrary to the case r = 3, where it was proved that their genus growths at most like $d^{3/2}$ (A. Dolcetti). Nevertheless there is a sector of large genera g, roughly between $d^2/(2r+2)$ and $d^2/2r$, where we prove the existence of smooth curves (even aCM ones) with degree d and genus g, but the only integral and non-degenerate maximal rank curves with degree d and arithmetic genus g are the aCM ones. For some (d, g, r) with high g we prove the existence of reducible non-degenerate maximal rank and non aCM curves $X{\subset}\mathbb{P}^r$ with degree d and arithmetic genus g, while (d, g, r) is not realized by non-degenerate maximal rank and non aCM integral curves.

Approximate Conversion of Rational Bézier Curves

  • Lee, Byung-Gook;Park, Yunbeom
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제2권1호
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    • pp.88-93
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    • 1998
  • It is frequently important to approximate a rational B$\acute{e}$zier curve by an integral, i.e., polynomial one. This need will arise when a rational B$\acute{e}$zier curve is produced in one CAD system and is to be imported into another system, which can only handle polynomial curves. The objective of this paper is to present an algorithm to approximate rational B$\acute{e}$zier curves with polynomial curves of higher degree.

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ON SPATIAL QUATERNIONIC SMARANDACHE RULED SURFACES

  • Kemal Eren;Abdussamet Caliskan;Suleyman SENYURT
    • 호남수학학술지
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    • 제46권2호
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    • pp.209-223
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    • 2024
  • In this paper, we investigate the spatial quaternionic expressions of the ruled surfaces whose base curves are formed by the Smarandache curve. Moreover, we formulate the striction curves and dralls of these surfaces. If the quaternionic Smarandache ruled surfaces are closed, the pitches and angle of pitches are interpreted. Finally, we calculate the integral invariants of these surfaces using quaternionic formulas.