• 제목/요약/키워드: isotropic

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혼합 수치해석 방법을 이용한 무한고체의 탄성해석 (Elastic Analysis of Unbounded Solids Using a Mixed Numerical Method)

  • 이정기;허강일
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.341-348
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    • 2001
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of plane elastostatic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids or isotropic inclusions. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions.

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등방성 강판의 자동차용 Roof Panel 부품 적용 특성 해석 (FE Analysis for Application of Isotropic Steel Sheet on Auto-Roof Panel)

  • 한수식
    • 소성∙가공
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    • 제15권3호
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    • pp.241-246
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    • 2006
  • The isotropic steel sheet was developed and started to apply on the auto-body outer panel, however the characteristics of application on auto-body were not well known. In this paper the FE analysis of outer panel of auto-body was carried out to investigate the characteristics of isotropic steel sheet. For the FE analysis of the roof panel of ULSAB body the isotropic steel sheet and the bake hardening steel sheet were used. The Isotropic steel sheet shows more deformation at punch bottom area of roof panel than the bake hardening steel sheet that is most required forming properties far outer panel to obtain the shape likability of forming parts. It is shown that the isotropic steel sheet has suitable material properties far outer panels of auto-body.

등방성체와 직교이방성체의 접합계면네 내재된 동적모드 III 균열의 등속전파 (Dynamic Mode III Crack Propagated with Constant Velocity at Interface Between Isotropic and Orthotropic Material)

  • 이광호;황재석;유재용
    • 대한기계학회논문집A
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    • 제20권12호
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    • pp.3828-3837
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    • 1996
  • The dynamic problems of interface crack propagated with constant velocity along the interface of bimateraial composed of isotropic and orthotropicmaterial under antiplane loading condition are studied in this paper. The general dynamic stress fields and displacement fields of mode III are derived when interface crack between isotropic and orthotropic material is propagating with constant velocity. The general dynamic stress fields and displacement fields in isotropic material. Finally, the characteristics of interface crack propagation are studied with various properties of isotropic and orthotropic material and crack propagarion velocities.

횡방향으로 등방성인 재료에서 균열선단 크리프 변형 거동 (Crack Tip Creep Deformation Behavior in Transversely Isotropic Materials)

  • 마영화;윤기봉
    • 대한기계학회논문집A
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    • 제33권12호
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    • pp.1455-1463
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    • 2009
  • Theoretical mechanics analysis and finite element simulation were performed to investigate creep deformation behavior at the crack tip of transversely isotropic materials under small scale creep (SCC) conditions. Mechanical behavior of material was assumed as an elastic-$2^{nd}$ creep, which elastic modulus ( E ), Poisson's ratio ( ${\nu}$ ) and creep stress exponent ( n ) were isotropic and creep coefficient was only transversely isotropic. Based on the mechanics analysis for material behavior, a constitutive equation for transversely isotropic creep behavior was formulated and an equivalent creep coefficient was proposed under plain strain conditions. Creep deformation behavior at the crack tip was investigated through the finite element analysis. The results of the finite element analysis showed that creep deformation in transversely isotropic materials is dominant at the rear of the crack-tip. This result was more obvious when a load was applied to principal axis of anisotropy. Based on the results of the mechanics analysis and the finite element simulation, a corrected estimation scheme of the creep zone size was proposed in order to evaluate the creep deformation behavior at the crack tip of transversely isotropic creeping materials.

VOLUME INEQUALITIES FOR THE Lp-SINE TRANSFORM OF ISOTROPIC MEASURES

  • Guo, LuJun;Leng, Gangsong
    • 대한수학회보
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    • 제52권3호
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    • pp.837-849
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    • 2015
  • For $p{\geq}1$, sharp isoperimetric inequalities for the $L_p$-sine transform of isotropic measures are established. The corresponding reverse inequalities are obtained in an asymptotically optimal form. As applications of our main results, we present volume inequalities for convex bodies which are in $L_p$ surface isotropic position.

ON A CLASS OF FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE

  • Zhu, Hongmei
    • 대한수학회보
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    • 제54권2호
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    • pp.399-416
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    • 2017
  • In this paper, we study a class of Finsler metrics called general (${\alpha},{\beta}$)-metrics, which are defined by a Riemannian metric ${\alpha}$ and a 1-form ${\beta}$. We show that every general (${\alpha},{\beta}$)-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general (${\alpha},{\beta}$)-metrics are constructed explicitly.

삼각 섬유성 연골(TFCC) 손상 환자의 자기공명영상 검사 시 Fat Suppressed 3D FSPGR T1 강조 기법에 대한 Fat Suppressed Isotropic 3D FSE T1 강조 기법의 비교 분석 및 유용성에 관한 평가 (The Comparative Analysis Study and Usability Assessment of Fat Suppressed 3D FSPGR T1 Technique and Fat Suppressed Isotropic 3D FSE T1 Technique when Examining MRI of Patient with Triangular Fibrocartilage Complex (TFCC) Tear)

  • 강성진;조용근;이성수
    • 한국자기학회지
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    • 제26권3호
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    • pp.105-114
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    • 2016
  • 삼각 섬유성 연골(TFCC) 손상 환자의 평가를 위하여 fat suppressed 3D fast spoiled gradient recalled T1 기법과 fat suppressed Isotropic 3D fast spin echo T1 기법을 이용하여 영상을 획득하였다. 정량적 평가를 위해 각각의 영상에서 signal to noise ratio 및 contrast to noise ratio 값을 측정하고, Mann-Whitney U 검정으로 두 기법 간의 통계적 유의성을 검증하였다. 또한 정성적 평가를 위해 영상의학의 2명이 각각의 영상을 관찰하여, TFCC의 형태, 영상 내 인공음영, 병변의 묘사 정도의 3가지 항목을 선정한 후 이를 4점 척도(0: 진단 불가, 1: 부족함, 2: 충분함, 3: 좋음)로 평가하였고, Kappa-value 검정을 이용하여 두 관찰자 간의 일치도 검증을 하였다. 영상획득에는 3.0 Tesla MR 장비와 8-channel RF coil을 사용하였다. 정량적 평가 결과, 모든 영상 단면에서 signal to noise ratio 및 contrast to noise ratio 값이 Isotropic 3D fast spin echo T1 기법이 높게 나타났으며, Mann-Whitney U 검정을 이용한 두 영상기법 간의 검증도 통계적으로도 유의하였다(p < 0.05). 정성적 평가 결과, 관찰자 1, 2 모두에서 Isotropic 3D fast spin echo T1 기법의 평가 결과가 더 높게 나타났으며, Kappa-value 검증을 이용한 두 관찰자 간 평가 결과의 일치도 검증도 통계적으로 유의하였다(p < 0.05). 결론적으로 TFCC 손상 환자의 자기공명영상 검사 시 fat suppressed Isotropic 3D fast spin echo T1 기법의 적용은 TFCC 병변의 감별에 보다 유용한 진단적 정보를 제공 할 수 있을 것이라 생각된다.

Cassini 난형곡선을 활용한 횡등방성 암석 파괴함수 (Failure Function of Transversely Isotropic Rock Based on Cassini Oval)

  • 이연규
    • 터널과지하공간
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    • 제27권4호
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    • pp.243-252
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    • 2017
  • 횡등방성 암석의 파괴거동은 등방성 암석의 경우와 큰 차이가 있으므로 횡등방성 암반에 건설되는 암반구조물의 정밀한 안정성 평가를 위해서는 횡등방 파괴함수의 개발이 필요하다. 이 연구에서는 17세기 천문학자 Cassini가 지구둘레를 도는 태양의 궤도를 모델링하기 위해 제안한 Cassini 난형(卵形)곡선을 기반으로 횡등방성 암석의 강도정수 분포함수를 제안하였다. 제안된 강도정수 분포함수는 횡등방성 암석시료에 대한 삼축압축시험을 통해 실험적으로 결정이 가능한 2개의 모델 파라미터로 정의된다. 제안된 강도정수 분포함수를 마찰각과 점착력의 공간분포함수로 채용하여 기존의 Mohr-Coulomb(M-C) 파괴함수를 3차원 횡등방성 M-C 파괴함수로 확장시켰다. 제안된 횡등방성 M-C 파괴함수의 적합성을 검증하기 위해 횡등방성 암석시료의 삼축압축시험 및 진삼축압축시험을 수치모사하였다. 수치실험을 통해 예측된 결과는 실제 실험실 시험에서 관찰되는 횡등방성 암석의 파괴거동과 부합하였다. 또한 진삼축압축시험 수치모사 결과는 암석강도의 중간주응력 의존성이 암석시료에 포함된 미시적 연약면의 공간분포 특성과 밀접한 관련이 있을 수 있음을 보여주었다.

혼합 체적-경계 적분방정식법을 이용한 탄성해석 방법 개발 (Development of an Elastic Analysis Technique Using the Mixed Volume and Boundary Integral Equation Method)

  • 이정기;허강일;진원재
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.775-786
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    • 2002
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of elastic wave scattering problems and plane elastostatic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids or isotropic inclusions. In the formulation of this method, the continuity condition at each interface is automatically satisfied, and in contrast to finite element methods, where the full domain needs to be discretized, this method requires discretization of the inclusions only. Finally, this method takes full advantage of the pre- and post-processing capabilities developed in FEM and BIEM. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, and the analysis of plane wave scattering problems in unbounded isotropic matrix with isotropic inclusions and voids, it will be established that this new method is very accurate and effective for solving plane wave scattering problems and plane elastic problems in unbounded solids containing general anisotropic inclusions and voids/cracks or isotropic inclusions.

Homomorpic Factorization 기반의 등방성 BRDF의 조명 계산 (Isotropic BRDFs of Homomorphic Factorization-based Lighting Computation)

  • 안미선;조청운;홍현기
    • 한국멀티미디어학회:학술대회논문집
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    • 한국멀티미디어학회 2003년도 추계학술발표대회(하)
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    • pp.630-633
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    • 2003
  • 최근에 조명의 표현 성능을 향상시키기 위한 몇 가지 기술이 발전되었다. Homomorphic Factorization(HF) 기반의 새로운 기술은 BRDF에 근사화 하지는 않는다. 그러나 전체조명 장면에서의 isotropic BRDF의 full lighting computation을 대신할 수 있다. 이 방법으로 현재 그래픽 하드웨어의 일반적인 성능을 이용하여 최소 두개의 2D Texture로 Isotropic illumination 환경을 시뮬레이션 할 수 있었다.

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