• 제목/요약/키워드: Tsai-Hill failure criterion

검색결과 16건 처리시간 0.02초

Tensile strength of unidirectional CFRP laminate under high strain rate

  • Taniguchi, Norihiko;Nishiwaki, Tsuyoshi;Kawada, Hiroyuki
    • Advanced Composite Materials
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    • 제16권2호
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    • pp.167-180
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    • 2007
  • The tensile strength of unidirectional carbon fiber reinforced plastics under a high strain rate was experimentally investigated. A high-strain-rate test was performed using the tension-type split Hopkinson bar technique. In order to obtain the tensile stress-strain relations, a special fixture was used for the impact tensile specimen. The experimental results demonstrated that the tensile modulus and strength in the longitudinal direction are independent of the strain rate. In contrast, the tensile properties in the transverse direction and the shear properties increase with the strain rate. Moreover, it was observed that the strain-rate dependence of the shear strength is much stronger than that of the transverse strength. The tensile strength of off-axis specimens was measured using an oblique tab, and the experimental results were compared with the tensile strength predicted based on the Tsai-Hill failure criterion. It was concluded that the tensile strength can be characterized quite well using the above failure criterion under dynamic loading conditions.

집중하중을 받는 일방향 보강 섬유 금속 적층판의 손상 개시 모델링 (Modeling of Damage Initiation in Singly Oriented Ply Fiber-Metal Laminate under Concentrated Loading Conditions)

  • 남현욱;변현중;정성욱;한경섭
    • Composites Research
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    • 제14권3호
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    • pp.42-50
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    • 2001
  • 본 연구에서는 집중하중을 받는 일방향 보강 섬유 금속 적층판의 손상 개시 모델을 연구하였다. 기존의 복합재료 적층판의 해석에 사용하는 일타 전단변형이론을 수정하여 섬유 금속 적층판의 하중 변위 관계를 구하였고, 유한 요소 해석을 통하여 응력을 계산한 다음 Tsai-Hill failure criterion과 Miser yield criterion을 사용하여 섬유층과 금속판의 파괴 지수를 계산하는 방법으로 섬유 금속 적층판의 손상 개시를 모델링하였다. 단순 인장과 원통형 굽힘 하중에서의 적층 각도에 따른 섬유 금속 적층판의 파괴 지수 분포를 통하여 해석의 타당성을 검증하였으며, 이를 바탕으로 집중하중을 받는 경우 섬유 방향에 따른 파괴 지수를 계산하였다. 계산된 파괴 지수를 손상 개시 하중과 비교하기 위하여 압입 시험을 수행하였다. 압입 시험은 섬유 방향의 영향을 보기 위하여 양단 고정인 경계 조건에서 수행하였다. 손상 개시 하중은 압입 선도의 앞 부분을 Hertz식을 이용하여 회귀 분석한 곡선이 실제 하중 곡선과 달라지는 점으로부터 결정하였다. 다양한 섬유 방향에 따른 압입 시험을 수행하였으며 각각의 손상 개시 하중을 파괴 지수와 비교하였다.

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Postbuckling response and failure of symmetric laminated plates with rectangular cutouts under in-plane shear

  • Singh, S.B.;Kumar, Dinesh
    • Structural Engineering and Mechanics
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    • 제34권2호
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    • pp.175-188
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    • 2010
  • This paper deals with the buckling and postbuckling responses, and the progressive failure of square laminates of symmetric lay-up with a central rectangular cutout under in-plane shear load. A detailed investigation is made to show the effects of cutout size and cutout aspect ratio on the buckling and postbuckling responses, failure loads and failure characteristics of $(+45/-45/0/90)_{2s}$, $(+45/-45)_{4s}$ and $(0/90)_{4s}$ laminates. The 3-D Tsai-Hill criterion is used to predict the failure of a lamina while the onset of delamination is predicted by the interlaminar failure criterion. In addition, the effects of boundary conditions on buckling loads, failure loads, failure modes, and maximum transverse deflection for a $(+45/-45/0/90)_{2s}$ laminate with and without a square cutout have been presented. It is concluded that because of early onset of delamination at the net section of cutouts before first-ply failure, total strength of the laminate with very small cutouts can not be utilized.

복합구조물의 파괴에 관한 치수효과의 중요성 (The Importance of Size/Scale Effects in the Failure of Composite Structures)

  • 정영화;김경진;원치문;심도식
    • 산업기술연구
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    • 제15권
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    • pp.217-222
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    • 1995
  • In this paper, the importance of the size effects on the strength ratio is demonstrated by numerical results. The rate of decrease of tensile strength is for glass fiber, based on the experience of a composite manufacturing specialist. For other material, similar procedure may be used until detailed test result on such material is available. The strength criteria used is that of Tsai-Wu for stress space. The factors influencing the ratio are, reducing the tensile strength alone or both tensile and compression strengths, selection of the normalized interaction term, that is, the generalized Von Mises criterion or the Hill's criterion, and the status of applied stresses. Some of the numerical results are presented for a guideline for the furture study.

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Cutout shape and size effects on response of quasi-isotropic composite laminate under uni-axial compression

  • Singh, S.B.;Kumar, Dinesh
    • Structural Engineering and Mechanics
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    • 제35권3호
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    • pp.335-348
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    • 2010
  • Cutouts are often provided in structural and aircraft components for ventilation, for access, inspection, electric lines and fuel lines or sometimes to lighten the structure. This paper addresses the effects of cutout shape (i.e., circular, square, diamond, elliptical-vertical and elliptical-horizontal) and size on buckling and postbuckling response of quasi-isotropic (i.e., $(+45/-45/0/90)_{2s}$) composite laminate under uni-axial compression. The finite element method is used to carry out the investigation. The formulation is based on first order shear deformation theory and von Karman's assumptions are used to incorporate geometric nonlinearity. The 3-D Tsai-Hill criterion is used to predict the failure of a lamina while the onset of delamination is predicted by the interlaminar failure criterion. It is observed that for the smaller size cutout area there is no significant effect of cutout shape on load-deflection response of the laminate. It is also concluded that the cutout size has substantial influence on the buckling and postbuckling response of the laminate with elliptical-horizontal cutout, while this effect is observed to be the least in case of laminate with elliptical-vertical cutout.

퍼지 이론을 이용한 복합재 적층판의 최적설계 (Optimization of Composite Laminated Plate Using Fuzzy Set Theory)

  • 홍영기;이종호;구만회;우호길
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 1999년도 추계학술발표대회 논문집
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    • pp.63-67
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    • 1999
  • This paper presents the optimization of CFRP laminated rectangular plates using fuzzy theory. In optimization, thickness of CFRP lamina and fiber angle are taken as design variables, and total thickness of the plates is minimized under Tsai-Hill failure criterion. The uncertainties are entered by introducing fuzzy material strengths and then the objective and constraints are represented by a membership function of their own according to the intersection method. Various design results are presented for the CFRP laminated composites plates.

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