• 제목/요약/키워드: Cauchy stress

검색결과 32건 처리시간 0.026초

비틀림하의 복합원통에 있는 원주 표면균열에 대한 응력 확대 계수

  • 김영종
    • 한국정밀공학회지
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    • 제17권9호
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    • pp.151-157
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    • 2000
  • Stress intensity factors for the circumferential surface crack of a long composite cylinder under torsion is investigated. The problem is formulated as a singular integral equation of the first kind with a Cauchy type kernel using the integral transform technique. The mode III stress intensity factors at the crack tips are presented when (a) the inner crack tip is away from the interface and (b) the inner crack tip is at the interface.

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선형분수사상을 이용한 3차원 균열해석 (Three-dimensional crack analysis by fractional linear mapping)

  • 안득만
    • 대한기계학회논문집
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    • 제19권1호
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    • pp.61-78
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    • 1995
  • In this study the method of analysis for three-dimensional plane crack problem by fractional linear mapping is given. Using this method we can obtain the exact solutions of significantly different configurations of the crack. In the example image crack configurations by mapping of elliptic crack are illustrated. And the stress intensity factors along the image crack tips are calculated.

쉘 구조물의 과도동적거동해석에 적용된 응력률들의 비교 (Comparison of Objective Stress Rates for Explicit Transient Shell Dynamics Analysis)

  • 하재선
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.497-502
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    • 2004
  • This paper presents applications of the objective stress rates to stress update algorithms for transient shell dynamic analysis within the context of explicit time integration. The hypo elasto-plastic materials are assumed in establishing constitutive equations. The derivation of the objective stress rates are investigated by use of the Lie derivative. Comparison results are given between the Kirchhoff and Cauchy stress formulation. The Jacobian determination algorithm proposed in this paper is presented in association with the Belytschko-Lin-Tsay shell theory. Several numerical examples are demonstrated including contact and non-contact examples, by which proposed algorithms are compared with respect to the accuracy and effectiveness.

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마찰을 고려한 플라스틱 시트의 절단특성에 관한 연구 (A Study on the Cutting characteristics of a plastic sheet including Friction)

  • 한주현;김도현;김청균
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 2004년도 학술대회지
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    • pp.245-248
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    • 2004
  • The press cutter is productive equipment that practically manufactures materials such as fabrics, papers, films, leathers, rubbers etc. into the desired shapes using cutting method. Plate cutting process is one of the primary energy absorbing mechanisms in a grounding or collision event. The cutting mechanism is complicated and involves plastic flow of plate in the vicinity of the tip, friction between wedge and plate, deformation of plate. In this paper, we studied the effect of friction between cutter and plastic sheet for producing precise and superior products. The press cutter is analyzed numerically using MARC finite element program according to the variation of friction coefficients. The FEM results showed that normal stress, equivalent cauchy stress, normal total strain, equivalent total strain are good when friction coefficient is 0.0 and shear stress, shear total strain are good when friction coefficient is 0.8.

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Elastodynamic Response of a Crack Perpendicular to the Graded Interfacial Zone in Bonded Dissimilar Materials Under Antiplane Shear Impact

  • Kim, Sung-Ho;Choi, Hyung-Jip
    • Journal of Mechanical Science and Technology
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    • 제18권8호
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    • pp.1375-1387
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    • 2004
  • A solution is given for the elastodynamic problem of a crack perpendicular to the graded interfacial zone in bonded materials under the action of anti plane shear impact. The interfacial zone is modeled as a nonhomogeneous interlayer with the power-law variations of its shear modulus and mass density between the two dissimilar, homogeneous half-planes. Laplace and Fourier integral transforms are employed to reduce the transient problem to the solution of a Cauchy-type singular integral equation in the Laplace transform domain. Via the numerical inversion of the Laplace transforms, the values of the dynamic stress intensity factors are obtained as a function of time. As a result, the influences of material and geometric parameters of the bonded media on the overshoot characteristics of the dynamic stress intensities are discussed. A comparison is also made with the corresponding elastostatic solutions, addressing the inertia effect on the dynamic load transfer to the crack tips for various combinations of the physical properties.

Anti-Plane Shear Behavior of an Arbitrarily Oriented Crack in Bonded Materials with a Nonhomogeneous Interfacial Zone

  • Chung, Yong-Moon;Kim, Chul;Park, Hyung-Jip
    • Journal of Mechanical Science and Technology
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    • 제17권2호
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    • pp.269-279
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    • 2003
  • The anti-plane shear problem of bonded elastic materials containing a crack at an arbitrary angle to the graded interfacial zone is investigated in this paper The interfacial zone is modeled as a nonhomogeneous interlayer of finite thickness with the continuously varying shear modulus between the two dissimilar, homogeneous half-planes. Formulation of the crack problem is based upon the use of the Fourier integral transform method and the coordinate transformations of basic field variables. The resulting Cauchy-type singular integral equation is solved numerically to provide the values of mode 111 stress intensity factors. A comprehensive parametric study is then presented of the influence of crack obliquity on the stress intensity factors for different crack size and locations and for different material combinations, in conjunction with the material nonhomogeneity within the graded interfacial zone.

국부적 적층분리결함을 갖는 섬유금속적층판의 기계적 거동 특성 (Mechanical Behavior of Fiber Metal Laminates with Local Delamination Defects)

  • 최흥섭;최형집;최원종;하민수
    • 항공우주시스템공학회지
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    • 제1권1호
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    • pp.25-35
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    • 2007
  • In this paper, the interlaminar crack problems of a fiber metal laminate (FML) under generalized plane deformation are studied using the theory of anisotropic elasticity. The crack is considered to be embedded in the matrix interlaminar region (including adhesive zone and resin rich zone) of the FML. Based on Fourier integral transformation and the stress matrix formulation, the current mixed boundary value problem is reduced to solving a system of Cauchy-type singular integral equations of the 1st kind. Within the theory of linear fracture mechanics, the stress intensity factors are defined on terms of the solutions of integral equations and numerical results are obtained for in-plane normal (mode I) crack surface loading. The effects of location and length of crack in the 3/2 and 2/1 ARALL, GLARE or CARE type FML's on the stress intensity factors are illustrated.

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국부변수 조절을 통한 프레임의 탄소성 하중-제하 비선헝 해석 (Elasto-plastic Loading-unloading Nonlinear Analysis of Frames by Local Parameter Control)

  • 박문식
    • 한국전산구조공학회논문집
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    • 제14권4호
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    • pp.435-444
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    • 2001
  • 대변형 탄소성 프레임의 해석은 운동학적, 재질적, 수치해법상으로 매우 복잡하여 정확하고 효율적인 요소나 알고리즘이 부족하다. 본 논문에서는 3차원 보요소에 대하여 봉이론으로부터 유한요소를 만들고 소성을 적용하기 위하여 Cauchy응력과 공학적변형률을 구성방정식에 적용하는 방법으로 객관화된 증분해법에 의한 보요소를 제안하였다. 특히 항복조건의 만족을 위하여 정확하고도 효율적인 소성방정식의 적분법을 개발하고 적용하였으며 연속법과 일차원 탐색 등을 고려하여 광역수렴성과 2차 수렴속도를 갖는 수치해법을 개발하고 예제를 통하여 확인하였다.

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비선형 유한요소법을 이용한 자동차 도어 웨더스트립의 접촉변형에 관한 연구 (A Study on Contact Deformation of Automotive Door Weatherstrip Using Non-linear Finite Element Method)

  • 김병수;문병영;김광훈
    • 한국자동차공학회논문집
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    • 제13권4호
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    • pp.1-7
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    • 2005
  • In vehicle door system, weatherstrip seals protect passengers form noise, dust, rain and wind out of the vehicle. The higher efficient a weatherstrip is, the more durable it is in contact between the door and body frame. In this study, nonlinear finite element(FE) analysis is performed to obtain cauchy-stresses, displacements and reaction forces of the weatherstrip. Mechanical properties of the weatherstrip is obtained by uniaxial tension test. The MARC which is a commercial software for the nonlinear analysis of a flexible FE model is used. Twenty-one cases of the FE model are developed by using Ogden-foam formulation. In the results of nonlinear FE analysis, the most valuable deformation of the weatherstrip occurred when displacement control value reaches 7.2mm. Severe deformation is observed as the displacement control value become more increased. When the weatherstrip is designed, it would be considered that the displacement value of the weatherstrip has to be less than 7.2mm.

다구찌 실험법을 이용한 LPG 충전노즐 O-링 그루브의 최적화 설계연구 (Optimized Design of O-ring Groove in LPG Filling Unit Using Taguchi Experimental Method)

  • 김청균
    • 한국가스학회지
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    • 제10권2호
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    • pp.40-46
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    • 2006
  • 본 논문은 다구찌 실험 설계법을 이용하여 O-링을 장착하는데 필요한 사각 그루브의 최적설계를 위해 FEM으로 최대코시응력과 최대변형률에 대하여 해석하였다. 다구찌 설계방법은 LPG 충전노즐의 내경측에 밀봉을 위해 설치하는 O-링 그루브의 설계변수를 최적화 하는데 대단히 유용하다. FEM과 함께 다구찌 설계기법을 적용하여 계산된 해석결과에 따르면, 최적화 설계치수를 단지 9번의 반복 실험법에 의해 설계변수의 치수를 최적의 조건으로 얻을 수 있다는 측면에서 간편한 최적설계 기술이다. 이것은 다구찌 설계 실험법이 사각형상의 O-링 그루브를 설계하는 간단한 방법으로 대단히 유용하다는 것이다. 다구찌 설계기법에 기초한 해석결과에 의하면, O-링 그루브의 기하학적 형상에 대한 최적치수는 h=2.5mm, d=2.74 mm, c=0.15 mm, w=3.0 mm으로 각각 요약될 수 있다. 본 연구는 공급된 LPG 가스압력이 18 $kg/cm^2$인 상태에서 밀봉성과 안전성을 고려하면 초기압축률은 8.7%로 유지하는 것이 가장 효과적이라는 사실을 제공한다.

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