• Title/Summary/Keyword: Orthotropic material.

검색결과 286건 처리시간 0.026초

초음파의 에너지속도와 위상속도의 주행시간 동시성과 이방성 재료의 탄성계수 결정 (Equivalence of the times of flight by ultrasonic energy and phase velocities and determination of the elastic constants of anisotropic materials)

  • 정현조
    • 한국정밀공학회지
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    • 제11권2호
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    • pp.95-103
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    • 1994
  • The purpose of this paper is to provide the experimenters who use the oblique incidence ultrasonic method for anisotropic elastic constants measurement eith some useful relations. In particular, the equivalence of the times of flight by the energy ad phase velocities, which is key to the oblique incidence method, is proved explicitly. This equivalence greatly simplifies the analysis of immersion measurement results. In oredr to correctly measure the transit time of an immersed sample using the oblique incidence, the receiving transducer should be shifted laterally, and an expression in given for this shift. A method for determining all nine elastic constants of an orthotropic material is briefly described and the measurement results are listed for SiC particulate reinforced A1 matrix composites.

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축격손상을 받은 의사등방성 탄소섬유강화 복합재의 굽힘피로강도 (A study on the fatigue bending strength of quasi-isotropic CFRP laminates subjected to impact damage)

  • 박수철;박설현;정종안;차천석;양용준
    • 한국산학기술학회논문지
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    • 제18권10호
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    • pp.688-695
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    • 2017
  • CFRP는 금속에 비해 가벼우면서 강도 및 강성과 내열성 등 기계적 특성이 매우 뛰어나 다양한 분야에서 사용되어지고 있으며 최근 우주항공 분야에 까지 사용되어지고 있지만 외부 충격하중으로 인하여 내부에 발생되는 손상에 대해서는 매우 취약한 단점을 보이고 있다. 본 연구는 외부 충격을 받은 CFRP 적층판의 내부 충격손상에 대해 반복적인 사용에 따른 파괴에 이르기까지의 강도를 고찰함으로써 우주항공 분야에 사용되는 항공기 외판의 설계를 위한 설계 데이터를 확보하기 위한 실험적 연구이다. 실험 빙법으로는 적층구성을 달라하여 제작된 의사등방형 CFRP 시험편과 직교이방성 CFRP 시험편에 대해 직경 5mm의 강구를 충돌시킴으로써 발생하는 충격손상을 관찰한 후 3점 굽힘피로실힘을 통하여 내부 층간분리 및 충격손상의 진전을 관찰하였다. 시험편 내부의 파괴가 발생하기 까지 굽힘피로실험에 따른 굽힘피로강도를 고찰한 결과 강구에 의해 충격을 받은 면이 인장을 받는 경우와 충격을 받는 경우 모두 의사등방성 적층구성의 강도가 높게 나타남을 알 수 있었다.

A THERMO-ELASTO-VISCOPLASTIC MODEL FOR COMPOSITE MATERIALS AND ITS FINITE ELEMENT ANALYSIS

  • Shin, Eui-Sup
    • Journal of Theoretical and Applied Mechanics
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    • 제3권1호
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    • pp.45-65
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    • 2002
  • A constitutive model on oorthotropic thermo-elasto-viscoplasticity for fiber-reinforced composite materials Is illustrated, and their thermomechanical responses are predicted with the fully-coupled finite element formulation. The unmixing-mixing scheme can be adopted with the multipartite matrix method as the constitutive model. Basic assumptions based upon the composite micromechanics are postulated, and the strain components of thermal expansion due to temperature change are included In the formulation. Also. more than two sets of mechanical variables, which represent the deformation states of multipartite matrix can be introduced arbitrarily. In particular, the unmixing-mixing scheme can be used with any well-known isotropic viscoplastic theory of the matrix material. The scheme unnecessitates the complex processes for developing an orthotropic viscoplastic theory. The governing equations based on fully-coupled thermomechanics are derived with constitutive arrangement by the unmixing-mixing concept. By considering some auxiliary conditions, the Initial-boundary value problem Is completely set up. As a tool of numerical analyses, the finite element method Is used with isoparametric Interpolation fer the displacement and the temperature fields. The equation of mutton and the energy conservation equation are spatially discretized, and then the time marching techniques such as the Newmark method and the Crank-Nicolson technique are applied. To solve the ultimate nonlinear simultaneous equations, a successive iteration algorithm is constructed with subincrementing technique. As a numerical study, a series of analyses are performed with the main focus on the thermomechanical coupling effect in composite materials. The progress of viscoplastic deformation, the stress-strain relation, and the temperature History are careful1y examined when composite laminates are subjected to repeated cyclic loading.

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Numerical simulation of the femur fracture under static loading

  • El Sallah, Zagane Mohammed;Smail, Benbarek;Abderahmane, Sahli;Bouiadjra, B. Bachir;Boualem, Serier
    • Structural Engineering and Mechanics
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    • 제60권3호
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    • pp.405-412
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    • 2016
  • Bone is a living material with a complex hierarchical structure that gives it remarkable mechanical properties. Bone constantly undergoes mechanical. Its quality and resistance to fracture is constantly changing over time through the process of bone remodeling. Numerical modeling allows the study of the bone mechanical behavior and the prediction of different trauma caused by accidents without expose humans to real tests. The aim of this work is the modeling of the femur fracture under static solicitation to create a numerical model to simulate this element fracture. This modeling will contribute to improve the design of the indoor environment to be better safe for the passengers' transportation means. Results show that vertical loading leads to the femur neck fracture and horizontal loading leads to the fracture of the femur diaphysis. The isotropic consideration of the bone leads to bone fracture by crack propagation but the orthotropic consideration leads to the fragmentation of the bone.

비특이항을 고려한 균질이방성체내 수평균열의 해석 (An Analysis of Flat-Crack in Homogeneous Anisotropic Solids Considering Non-Singular Term)

  • 임원균;최승룡;안현수
    • 대한기계학회논문집A
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    • 제24권1호
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    • pp.69-78
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    • 2000
  • The one-parameter singular expression for stresses and displacements near a crack tip has been widely thought to be sufficiently accurate over a reasonable re ion for any geometry and loading conditions. In many cases, however subsequent terms of the series expansion are quantitatively significant, and so we now consider the evaluation of such terms and their effect on the predicted crack growth direction. For this purpose the problem of a cracked orthotropic plate subjected to a biaxial load is analysed. It is assumed that the material is ideal homogeneous anisotropic. BY considering the effect of the load applied parallel to the plane of the crack, the distribution of stresses and displacements at the crack tip is reanalyzed. In order to determine values for the angle of initial crack extension we employ the normal stress ratio criterion.

유한요소법에 의한 직방성재료 내 균열의 응력확대계수 결정 (Determination of Stress Intensity Factor for the Crack in Orthotropic Materials Using the Finite Element Method)

  • 조형석;강석진;이성근;임원균
    • 한국전산구조공학회논문집
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    • 제17권1호
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    • pp.59-65
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    • 2004
  • 응력확대계수는 균열진전경로의 수치해석적 연구에서 널리 사용되고 있다. 그러나 많은 경우에서 균열선단주위 응력의 급수전개식 중 이어지는 항은 정량적으로 중요하다. 따라서 본 연구에서는 이의 항을 계산하기 위하여 등매개 2차특이요소를 이용한 유한요소해석을 수행하였다. 일례로 단축하중을 받는 무한 직방성체 내 경사균열에 대하여 균열요소크기와 균열경사각을 달리 주어 가며 해석을 수행하였으며, 수치해석결과는 이론해와 비교하여 잘 일치하고 있다.

Strain gradient theory for vibration analysis of embedded CNT-reinforced micro Mindlin cylindrical shells considering agglomeration effects

  • Tohidi, H.;Hosseini-Hashemi, S.H.;Maghsoudpour, A.;Etemadi, S.
    • Structural Engineering and Mechanics
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    • 제62권5호
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    • pp.551-565
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    • 2017
  • Based on the strain gradient theory (SGT), vibration analysis of an embedded micro cylindrical shell reinforced with agglomerated carbon nanotubes (CNTs) is investigated. The elastic medium is simulated by the orthotropic Pasternak foundation. The structure is subjected to magnetic field in the axial direction. For obtaining the equivalent material properties of structure and considering agglomeration effects, the Mori-Tanaka model is applied. The motion equations are derived on the basis of Mindlin cylindrical shell theory, energy method and Hamilton's principal. Differential quadrature method (DQM) is proposed to evaluate the frequency of system for different boundary conditions. The effects of different parameters such as CNTs volume percent, agglomeration of CNTs, elastic medium, magnetic field, boundary conditions, length to radius ratio and small scale parameter are shown on the frequency of the structure. The results indicate that the effect of CNTs agglomeration plays an important role in the frequency of system so that considering agglomeration leads to lower frequency. Furthermore, the frequency of structure increases with enhancing the small scale parameter.

2개 매개변수를 갖는 탄성지반위에 놓인 복합재료 적층판의 점탄성적 휨, 진동 좌굴해석 (Viscoelastic Bending, Vibration and Buckling Analysis of Laminated Composite Plates on Two-parameter Elastic Foundation)

  • 한성천;장석윤
    • 한국강구조학회 논문집
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    • 제13권5호
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    • pp.443-455
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    • 2001
  • 전단 층을 갖는 2개 매개변수 탄성지반 위에 놓인 복합재료 적층판에서 휨 진동 및 좌굴해석을 위해 에너지 방법을 사용해 탄성해를 구하였다. 복합재료 적층판의 점탄성 해석은 유사-탄성방법을 사용해 탄성해를 구하였다. 전단에 의한 효과는 3창 전단변형이론을 적용하여 고려하였다. 유도된 식들을 검증하기 위해 LUSAS 프로그램에 의한 탄성지반위에 놓인 이방성 판의 처짐과 비교하였다. 점탄성 휨 진동 및 좌굴해석에 관한 수치해석결과들은 적층순서, 적층 수 재료 비등방성과 전단지반계수 등에 따른 효과를 보여 준다.

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Comparison of the Stress Concentration Factors for GFRP Plate having Centered Circular Hole by Three Resource-Conserving Methods

  • Gao, Zhongchen;Park, Soo-Jeong;Kim, Yun-Hae
    • Composites Research
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    • 제29권6호
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    • pp.388-394
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    • 2016
  • Fiber reinforced plastic (FRP) composites have drawn increasing attentions worldwide for decades due to its outstanding properties. Stress concentration factor (SCF) as an essential parameter in materials science are critically considered in structure design and application, strength assessment and failure prediction. However, investigation of stress concentration in FRP composites has been rarely reported so far. In this study, three resource-conserving analyses (Isotropic analysis, Orthotropic analysis and Finite element analysis) were introduced to plot the $K_T^A-d/W$ curve for E-glass/epoxy composite plate with the geometrical defect of circular hole placed centrally. The plates were loaded to uniaxial direction for simplification. Finite element analysis (FEA) was carried out via ACP (ANSYS composite prepost module). Based on the least squares method, a simple expression of fitting equation could be given based on the simulated results of a set of discrete points. Finally, all three achievable solutions were presented graphically for explicit comparison. In addition, the investigation into customized efficient SCFs has also been carried out for further reference.

Determination of optimal parameters for perforated plates with quasi-triangular cutout by PSO

  • Jafari, Mohammad;Hoseyni, Seyed A. Mahmodzade;Chaleshtari, Mohammad H. Bayati
    • Structural Engineering and Mechanics
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    • 제60권5호
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    • pp.795-807
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    • 2016
  • This study tries to examine the effect of different parameters on stress analysis of infinite plates with central quasi-triangular cutout using particle swarm optimization (PSO) algorithm and also an attempt has been made to introduce general optimum parameters in order to achieve the minimum amount of stress concentration around this type of cutout on isotropic and orthotropic plates. Basis of the presented method is expansion of analytical method conducted by Lekhnitskii for circular and elliptical cutouts. Design variables in this study include fiber angle, load angle, curvature radius of the corner of the cutout, rotation angle of the cutout and at last material of the plate. Also, diagrams of convergence and duration time of the desired problem are compared with Simulated Annealing algorithm. Conducted comparison is indicative of appropriateness of this method in optimization of the plates. Finite element numerical solution is employed to examine the results of present analytical solution. Overlap of the results of the two methods confirms the validity of the presented solution. Results show that by selecting the aforementioned parameters properly, less amounts of stress can be achieved around the cutout leading to an increase in load-bearing capacity of the structure.