• 제목/요약/키워드: Poisson's Ratio

검색결과 436건 처리시간 0.021초

CANDU형 원전 압력관에 존재하는 축방향 균열의 응력확대계수 (Stress Intensity Factors for Axial Cracks in CANDU Reactor Pressure Tubes)

  • 이국희;오영진;박흥배;정한섭;정하주;김윤재
    • 한국압력기기공학회 논문집
    • /
    • 제7권1호
    • /
    • pp.17-26
    • /
    • 2011
  • CANDU reactor core is composed a few hundreds pressure tubes, which support and locate the nuclear fuels in the reactor. Each pressure tube provides pressure boundary and flow path of primary heat transport system in the core region. In order to guarantee the structural integrity of pressure tube flaws which can be found by in-service inspection, crack growth and fracture initiation assessment have to be performed. Stress intensity factors are important and basic information for structural integrity assessment of planar and laminar flaws (e. g. crack). This paper reviews and confirms the stress intensity factor of axial crack, proposed in CSA N285.8-05, which is an fitness-for-service evaluation code for pressure tubes in CANDU nuclear reactors. The stress intensity factors in CSA N285.8-05 were compared with stress intensity factors calculated by three methods (finite element results, API 579-1/ASME FFS-1 2007 Fitness-For-Service and ASME Boiler and Pressure Vessel Code Section XI). The effects of Poisson's ratio and anisotropic elastic modulus on stress intensity factors were also discussed.

3D Auxetic Pyramid 구조의 최적화 연구 (A Study on Optimization of 3D Auxetic Pyramid Structure)

  • 김규영;김수호;윤기원
    • EDISON SW 활용 경진대회 논문집
    • /
    • 제6회(2017년)
    • /
    • pp.241-250
    • /
    • 2017
  • Auxetic is a structure that behave as negative Poisson's ratio. It is known for high mechanical property like energy absorption and destruction toughness so far. In this paper, we aimed to design auxetic structure which has small internal energy when force is applied and high NPR and over 50N/mm stiffness by using optimization method. We defined length(L), thickness(t), angle(${\theta}_1$, ${\theta}_2$) as design factors and also von-Mises stress, NPR, stiffness as reaction factors. We used Box-Behnken method and conducted 4factors - 3levels experiment design. We also analyzed each models by using CSD_EPLAST, Edison program, and did extra analysis for more accurate results. Finally, we found out the optimal design factors which is satisfied aimed value and increased reliability through factor analysis and validity verification.

  • PDF

Exact solution of a thick walled functionally graded piezoelectric cylinder under mechanical, thermal and electrical loads in the magnetic field

  • Arefi, M.;Rahimi, G.H.;Khoshgoftar, M.J.
    • Smart Structures and Systems
    • /
    • 제9권5호
    • /
    • pp.427-439
    • /
    • 2012
  • The present paper deals with the analytical solution of a functionally graded piezoelectric (FGP) cylinder in the magnetic field under mechanical, thermal and electrical loads. All mechanical, thermal and electrical properties except Poisson ratio can be varied continuously and gradually along the thickness direction of the cylinder based on a power function. The cylinder is assumed to be axisymmetric. Steady state heat transfer equation is solved by considering the appropriate boundary conditions. Using Maxwell electro dynamic equation and assumed magnetic field along the axis of the cylinder, Lorentz's force due to magnetic field is evaluated for non homogenous state. This force can be employed as a body force in the equilibrium equation. Equilibrium and Maxwell equations are two fundamental equations for analysis of the problem. Comprehensive solution of Maxwell equation is considered in the present paper for general states of non homogeneity. Solution of governing equations may be obtained using solution of the characteristic equation of the system. Achieved results indicate that with increasing the non homogenous index, different mechanical and electrical components present different behaviors along the thickness direction. FGP can control the distribution of the mechanical and electrical components in various structures with good precision. For intelligent properties of functionally graded piezoelectric materials, these materials can be used as an actuator, sensor or a component of piezo motor in electromechanical systems.

Effect of porosity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations

  • Benferhat, Rabia;Daouadji, Tahar Hassaine;Mansour, Mohamed Said;Hadji, Lazreg
    • Earthquakes and Structures
    • /
    • 제10권6호
    • /
    • pp.1429-1449
    • /
    • 2016
  • The effect of porosity on bending and free vibration behavior of simply supported functionally graded plate reposed on the Winkler-Pasternak foundation is investigated analytically in the present paper. The modified rule of mixture covering porosity phases is used to describe and approximate material properties of the FGM plates with porosity phases. The effect due to transverse shear is included by using a new refined shear deformation theory. The number of unknown functions involved in the present theory is only four as against five or more in case of other shear deformation theories. The Poisson ratio is held constant. Based on the sinusoidal shear deformation theory, the position of neutral surface is determined and the equation of motion for FG rectangular plates resting on elastic foundation based on neutral surface is obtained through the minimum total potential energy and Hamilton's principle. The convergence of the method is demonstrated and to validate the results, comparisons are made with the available solutions for both isotropic and functionally graded material (FGM). The effect of porosity volume fraction on Al/Al2O3 and Ti-6Al-4V/Aluminum oxide plates are presented in graphical forms. The roles played by the constituent volume fraction index, the foundation stiffness parameters and the geometry of the plate is also studied.

3차원 10절점-상당요소에 의한 굽힘문제의 정적.동적해석 (Static and Dynamic Analyses of Bending Problems Using 3-Dimensional 10-Node Equivalent Element)

  • 권영두;윤태혁
    • 전산구조공학
    • /
    • 제10권4호
    • /
    • pp.117-130
    • /
    • 1997
  • 본 논문에서는 등방성판의 인장이나 전단변형은 물론 굽힘문제에도 적용할 수 있는 3차원 고체요소들 중에서 최소의 자유도를 갖는 수정 10절점 상당요소를 제안하였다. 제안된 수정 10절점 상당요소는 Q11요소나 20절점요소로부터 자유도가 줄어듬에 기인한 과대한 굽힘강성을 나타낸다. 이러한 상대적 강성과잉 현상을 수정하기 위한 효과적인 방법으로 가우스 적분점 수정 방법을 제안하였다. 수정량은 포아송 비의 함수이다. 수정 10절점 상당요소의 효과를 여러 가지 예에 적용하여 검증하였다. 제안된 수정 10절점 상당요소에 의한 등방성판의 정적해석과 자유진동 해석의 결과들은 20절점요소를 사용한 결과들과 잘 일치하였다.

  • PDF

Natural vibration of the three-layered solid sphere with middle layer made of FGM: three-dimensional approach

  • Akbarov, Surkay D.;Guliyev, Hatam H.;Yahnioglu, Nazmiye
    • Structural Engineering and Mechanics
    • /
    • 제57권2호
    • /
    • pp.239-263
    • /
    • 2016
  • The paper studies the natural oscillation of the three-layered solid sphere with a middle layer made of Functionally Graded Material (FGM). It is assumed that the materials of the core and outer layer of the sphere are homogeneous and isotropic elastic. The three-dimensional exact equations and relations of linear elastodynamics are employed for the investigations. The discrete-analytical method proposed by the first author in his earlier works is applied for solution of the corresponding eigenvalue problem. It is assumed that the modulus of elasticity, Poisson's ratio and density of the middle-layer material vary continuously through the inward radial direction according to power law distribution. Numerical results on the natural frequencies related to the torsional and spheroidal oscillation modes are presented and discussed. In particular, it is established that the increase of the modulus of elasticity (mass density) in the inward radial direction causes an increase (a decrease) in the values of the natural frequencies.

A novel higher order shear deformation theory based on the neutral surface concept of FGM plate under transverse load

  • Daouadji, Tahar Hassaine;Benferhat, Rabia;Adim, Belkacem
    • Advances in materials Research
    • /
    • 제5권2호
    • /
    • pp.107-120
    • /
    • 2016
  • The static analysis of the simply supported functionally graded plate under transverse load by using a new sinusoidal shear deformation theory based on the neutral surface concept is investigated analytically in the present paper. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain is given. The mechanical properties of the FGM plate are assumed to vary continuously through the thickness according to a power law formulation except Poisson's ratio, which is kept constant. The equilibrium and stability equations are derived by employing the principle of virtual work. Results are provided for thick to thin plates and for different values of the gradient index k, which subjected to sinusoidal or uniformly distributed lateral loads. The accuracy of the present results is verified by comparing it with finite element solution. From the obtained results, it can be concluded that the proposed theory is accurate and efficient in predicting the displacements and stresses of functionally graded plates.

남원지역 화강암 석재의 품질, 암석조직과 구성광물의 비교연구 (Correlation of mineralogical and textural properties with mechanical qualities of granite dimension stone from the Namwon area, Korea)

  • 홍세선;윤현수;이병태
    • 지질공학
    • /
    • 제14권1호
    • /
    • pp.105-121
    • /
    • 2004
  • 화강암은 국내에서 건축재, 공예 재료로서 사용되는 석재들 중 가장 큰 비중을 차지한다. 화강암은 구성광물, 광물의 함량 변화가 크기 때문에 이에 따라 물리적, 공학적 특성변화가 다양하다. 이 연구의 목적은 국내에서 화강암 석재가 가장 많이 생산되는 지역 중 하나인 남원지역의 화강암을 대상으로 암석기재학적 인 특성과 공학적인 특성사이의 상호 관련성을 규명하기 위한 것이다. 화강암의 구성광물의 함량비와 구성광물 각각의 입도를 측정하였으며 동일 시료에 대해 밀도, 흡수율, 공극율, 일축압축강도, 인장강도, 마모경도, P파 속도, 탄성계수, 포아송비 등의 물성 측정이 실시되었다. 화강암의 공학적 특성은 광물의 함량비 보다는 광물의 입도에 더 큰 영향을 받는 것으로 나타났다. 그러나 석영의 함량비도 화강암의 공학적 성질에 역시 영향을 주는 것으로 판단된다.

Mechanical behavior of composite gel periodic structures with the pattern transformation

  • Hu, Jianying;He, Yuhao;Lei, Jincheng;Liu, Zishun;Swaddiwudhipong, Somsak
    • Structural Engineering and Mechanics
    • /
    • 제50권5호
    • /
    • pp.605-616
    • /
    • 2014
  • When the periodic cellular structure is loaded or swelling beyond the critical value, the structure may undergo a pattern transformation owing to the local elastic instabilities, thus leading to structural collapse and the structure changing to a new configuration. Based on this deformation-triggered pattern, we have proposed the novel composite gel materials. This designed material is a type of architectural material possessing special mechanical properties. In this study, the mechanical behavior of the composite gel periodic structure with various gel inclusions is studied further through numerical simulations. When pattern transformation occurs, it results in a different elastic relationship compared with the material at untransformed state. Based on the obtained nominal stress versus nominal strain behavior, the Poisson's ratio and corresponding deformed structure patterns, we investigate the performance of designed composite materials and the effects of the uniformly distributed gel inclusions on composite materials. A better understanding of the characteristics of these composite gel materials is a key to develop its potential applications on new soft machines.

Effect of porosity in interfacial stress analysis of perfect FGM beams reinforced with a porous functionally graded materials plate

  • Rabia, Benferhat;Daouadji, Tahar Hassaine;Abderezak, Rabahi
    • Structural Engineering and Mechanics
    • /
    • 제72권3호
    • /
    • pp.293-304
    • /
    • 2019
  • In this paper, a general model is developed to predict the distribution of interfacial shear and normal stresses of FG beam reinforced by porous FGM plates under mechanical loading. The beam is assumed to be isotropic with a constant Poisson's ratio and power law elastic modulus through the beam thickness. Stress distributions, depending on an inhomogeneity constant, were calculated and presented in graphicals forms. It is shown that both the normal and shear stresses at the interface are influenced by the material and geometry parameters of the composite beam, and it is shown that the inhomogeneities play an important role in the distribution of interfacial stresses. The results presented in the paper can serve as a benchmark for future analyses of functionally graded beams strengthened by imperfect varying properties plates. Numerical comparisons between the existing solutions and the present new solution enable a clear appreciation of the effects of various parameters. The results of this study indicated that the imperfect functionally graded panel strengthening systems are effective in enhancing flexural behavior of the strengthened FGM beams. This research is helpful in understanding the mechanical behaviour of the interface and design of hybrid structures.