• 제목/요약/키워드: Surface Deformations

검색결과 211건 처리시간 0.028초

An analysis of an elastic solid incorporating a crack under the influences of surface effects in plane & anti-plane deformations

  • Kim, Chun Il
    • Interaction and multiscale mechanics
    • /
    • 제4권2호
    • /
    • pp.123-137
    • /
    • 2011
  • We review a series of crack problems arising in the general deformations of a linearly elastic solid (Mode-I, Mode-II and Mode-III crack) and, perhaps more significantly, when the contribution of surface effects are taken into account. The surface mechanics are incorporated using the continuum based surface/interface model of Gurtin and Murdoch. We show that the deformations of an elastic solid containing a single crack can be decoupled into in-plane (Mode-I and Mode-II crack) and anti-plane (Mode-III crack) parts, even when the surface mechanics is introduced. In particular, it is shown that, in contrast to classical fracture mechanics (where surface effects are neglected), the incorporation of surface elasticity leads to the more accurate description of a finite stress at the crack tip. In addition, the corresponding stress fields exhibit strong dependency on the size of crack.

전역 변형을 갖는 활성곡면을 사용한 모델 적합 (Model Fitting using an Active Surface with Global Detormations)

  • 김동근;최증원;황치정
    • 한국정보처리학회논문지
    • /
    • 제4권3호
    • /
    • pp.792-801
    • /
    • 1997
  • 본 논문에서는 전역 변형을 갖는 활성 곡면을 사용하여 잡음으로 오염된 데이터를 곡면으로 적합하는 알고리즘을 제안하였다. 이것은 2차원 곡선 모델에서 이전에 연구 [11,12]된 알고리즘의 3차원 곡면으로의 확정이다. 제안된 방법에서는 유한 차분을 사용하며, 각 노드점에서 주위의 외부힘을 사용하여 부분적으로 수축 또는 팽챙을 허용하는 balloon 모델[2,3]에 기반으로 진행하는 동안 곡면의 모양을 전역 변형 후의 곡면으로의 전역 변환이 결정적 최소 자승법에 의하여 계산되고, 마지막으로 전역 변환을 변형 전의 곡면에 적용한다. 실험에서 아핀변형을 갖는 활성 곡면을 사용하여 잡음으로 오염된 데이터를 곡면(타원체, B스플라인)으로 적합하였다.

  • PDF

레이저 스페클 간섭법을 이용한 면내 변형 측정 및 해석에 대한 연구 (I) (A Study on Measurement and Analysis of In-Plane Deformations by Using Laser Speckle Interferometry (I))

  • 강영준;노경완;강형수
    • 한국정밀공학회지
    • /
    • 제15권11호
    • /
    • pp.121-129
    • /
    • 1998
  • In-plane ESPI(Electronic Speckle Pattern Interferometry) was devised to measure in-plane deformations and rotation of a specimen with laser in this study. ESPI is a optical measuring method to be able to measure the deformations of engineering components and materials in industrial fields. The conventional measuring methods of surface deformations such as the strain gauge have many demerits because they are contact and point-to-point measuring ones. But that ESPI is noncontact, nondestructive and whole field measuring method can overcome previous disadvantages. We used ESPI which is sensitive to in-plane displacement for measuring in-plane deformations of a disk. And the 4-frame phase shifting method was used for the quantitative analysis. First of all, the system calibration was done due to an in-plane rotation before getting deformations of a disk. Finally we showed good agreement between the experiment results and those of the FEA(Finite Element Analysis).

  • PDF

레이저 스페클 간섭법을 이용한 면내 변형 측정 및 해석에 대한 연구 (II) (A Study on Measurement and Analysis of In-Plane Deformations by Using Laser Speckle Interferometry (II))

  • 강영준;노경완;나의균
    • 한국정밀공학회지
    • /
    • 제15권12호
    • /
    • pp.113-119
    • /
    • 1998
  • Recently Electronic Speckle Pattern Interferometry(ESPI) has been studied because it has the advantages to be able to measure the whole-field surface deformations of engineering components and materials in industrial areas with noncontact. The speckle patterns to be formed with interference phenomena of scattering light from rough surfaces illuminated by laser light have phase informations of surface deformations. In this study we used this interference phenomena and the phase shifting method to measure the inplane deformations, together with the use of digital image equipment to process the informations contained in the speckle pattern and to display consequent interferograms on TV monitor. FEA was performed before experiments and we obtained good agreement between the experimental results and FEA.

  • PDF

GFRP 보강근 표면이형의 부착성능 기여도에 대한 고찰 (Comtribution of surface deformations of GFRP rebar to bond to Concrete)

  • 문도영;심종성;오홍섭;심준기;김진균
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 2009년도 춘계 학술대회 제21권1호
    • /
    • pp.19-20
    • /
    • 2009
  • 본 논문은 철근의 이형과 유사한 표면성형을 갖는 GFRP 보강근의 콘크리트와의 부착성능을 실험과 해석을 통하여 고찰하였다. 이형을 갖는 GFRP 보강근의 경우 표면성형의 낮은 전단강성 및 강도로 인해 표면이형의 전 높이가 부착에 기여하지는 않은 것으로 알려지고 있다. 따라서 본 논문에서는 콘크리트와의 부착성능에 직접적으로 기여하는 보강근의 유효이형높이를 실험과 해석을 통하여 고찰하였다.

  • PDF

동적인 자유표면을 가진 동심원통에서의 열모세관 대류 (Dynamic Free-Surface Deformations in Axisymmetric Thermocapillary Convection in Open Cylindrical Annuli)

  • 심복철;김우승
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2003년도 춘계학술대회
    • /
    • pp.1560-1565
    • /
    • 2003
  • Thermocapillary convection in an open cylindrical annulus heated from the inside wall is investigated by two-dimensional numerical simulations. The deformable free surface is obtained as a solution of the coupled transport equations at fixed Prandtl and aspect ratio. Only steady convection can be realized in this axisymmetric computations with either non-deformable or deformable surfaces. Dynamic free-surface deformations do not induce transitions to oscillatory convection even at large Reynolds numbers. Free surfaces are convex near the cold wall due to the stagnation point, and concave near the hot wall. Free surface deformation increases with increasing Ca at a fixed Re. Two peaks appear at the free surface with low Re, while additional ripples, four peaks, occur at larger Re. Thermocapillary convection in the open annulus interior is insensitive to variations in Ca.

  • PDF

기계평면시일의 마찰열 변형거동에 관한 수치적 연구 (Numerical Study of Thermal Deformations Due to Frictional Heatings in a Mechanical Face Seal)

  • 김청균;함정윤
    • Tribology and Lubricants
    • /
    • 제14권2호
    • /
    • pp.49-56
    • /
    • 1998
  • The thermal deformation of the contact seal components has been analyzed using the finite element method. The temperature distributions, the thermal deformations and contact stresses are solved numerically for the contact surface with wear coning effects. The thermal deformation is always shown to distort the sealing surface along the radius of the seal ring. The results show that the deformations of inner radius side are significant compared with those of outer radius. Thus, the thermal deformation due to thermal heatings may promote the coned face wear or wear related thermal cracks at the contacting face of the seal ring component.

기계평면시일의 마찰열 변형거동에 관한 수치적 연구 (Numerical Study of Thermal Deformations Due to Frictional Heatings in a Mechanical Face Seal)

  • 함정윤;김청균
    • 한국윤활학회:학술대회논문집
    • /
    • 한국윤활학회 1998년도 제27회 춘계학술대회
    • /
    • pp.149-158
    • /
    • 1998
  • The thermal deformation of the contact seal components has been analyzed using the finite element method. The temperature distributions, the thermal deformations and contact stresses are solved numerically for the contact surface with wear coning effects. The thermal deformation is always shown to distort the sealing surface along the radius of the seal ring. The results show that the deformations of inner radius side are significant compared with those of outer radius. Thus, the thermal deformation due to thermal heatings may promote the coned face wear or wear related thermal cracks at the contacting face of the seal ring component.

  • PDF

전자 스페클 간섭법과 유한요소법을 이용한 면내변형의 측정에 관한 연구 (A Study on the Measurement of In-plane Deformations by using Electronic Speckle Pattern Interferometry and Finite Element Method)

  • 강형수;조기현;김홍석;정형길
    • 한국산업융합학회 논문집
    • /
    • 제5권3호
    • /
    • pp.187-192
    • /
    • 2002
  • In-plane ESPI(Electronic Speckle Patten Interferometry)was devised to measure in~plane defamation and rotation of a specimen with laser in this study. The conventional measuring methods of surface deformations such as the strain gauge have many demerits because they are contact and point-to-point measuring ones. But that ESPI is noncontact, nondestructive and whole field measuring method can overcome previous disadvantages. We used ESPI which is sensitive to in-plane displacement for measuring in-plane deformations of a disk. First of all, the system calibration was done due to an in-plane rotation before getting deformations of a disk. Finally we showed good agreement between theexperiment results and those of the FEA(Finit Element Analysis).

  • PDF

INVARIANTS OF DEFORMATIONS OF QUOTIENT SURFACE SINGULARITIES

  • Han, Byoungcheon;Jeon, Jaekwan;Shin, Dongsoo
    • 대한수학회지
    • /
    • 제56권5호
    • /
    • pp.1173-1246
    • /
    • 2019
  • We find all P-resolutions of quotient surface singularities (especially, tetrahedral, octahedral, and icosahedral singularities) together with their dual graphs, which reproduces (a corrected version of) Jan Steven's list [Manuscripta Math. 1993] of the numbers of P-resolutions of each singularities. We then compute the dimensions and Milnor numbers of the corresponding irreducible components of the reduced base spaces of versal deformations of each singularities. Furthermore we realize Milnor fibers as complements of certain divisors (depending only on the singularities) in rational surfaces via the semi-stable minimal model program for 3-folds. Then we compare Milnor fibers with minimal symplectic fillings, where the latter are classified by Bhupal and Ono [Nagoya Math. J. 2012]. As an application, we show that there are 6 pairs of entries in the list of Bhupal and Ono [Nagoya Math. J. 2012] such that two entries in each pairs represent diffeomorphic minimal symplectic fillings.