• 제목/요약/키워드: Elastic Constants

검색결과 269건 처리시간 0.024초

Impulse Excitation Method에 의한 복합재료의 공진 주파수와 탄성계수 관계에 대한 실험적 고찰 (Experimental Investigations of Relationships between Resonance Frequencies and Elastic Moduli of Composite Materials by Impulse Excitation Method)

  • 김형삼;이재혁;이동식;박세만
    • 한국재료학회지
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    • 제8권9호
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    • pp.843-848
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    • 1998
  • 결량화 되고 고강도의재료를 요하는 자동차, 항공기, 선박, 각종 구조물 등 여러 분야에서 복합재료의 사용은 증가되어 왔고, 그에 따라 연구가 활발히 진행되고 있다. 본 연구에서는 Impulse Excitation Method을 통해 Transversely Isotropic한 재료의 공진 주파수를 측정함으로써 복합재료의 탄성계수를 구하였다. Timoshenko Beam Equation식에 나타나는 회전관성효과와 전단변형을 고려하였을 때와 고려하지 않았을 때 재료의 탄성계수에 변화가 어떻게 나타나는 가를 관찰하였다.

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Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles

  • Karami, Behrouz;Janghorban, Maziar;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제27권2호
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    • pp.201-216
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    • 2018
  • In this paper, three-dimensional (3D) elasticity theory in conjunction with nonlocal strain gradient theory (NSGT) is developed for mechanical analysis of anisotropic nanoparticles. The present model incorporates two scale coefficients to examine the mechanical characteristics much accurately. All the elastic constants are considered and assumed to be the functions of (r, ${\theta}$, ${\varphi}$), so all kind of anisotropic structures can be modeled. Moreover, all types of functionally graded spherical structures can be investigated. To justify our model, our results for the radial vibration of spherical nanoparticles are compared with experimental results available in the literature and great agreement is achieved. Next, several examples of the radial vibration and wave propagation in spherical nanoparticles including nonlocal strain gradient parameters are presented for more than 10 different anisotropic nanoparticles. From the best knowledge of authors, it is the first time that 3D elasticity theory and NSGT are used together with no approximation to derive the governing equations in the spherical coordinate. Moreover, up to now, the NSGT has not been used for spherical anisotropic nanoparticles. It is also the first time that all the 36 elastic constants as functions of (r, ${\theta}$, ${\varphi}$) are considered for anisotropic and functionally graded nanostructures including size effects. According to the lack of any common approximations in the displacement field or in elastic constant, present theory can be assumed as a benchmark for future works.

Pyroelectric and pyromagnetic effects on behavior of magneto-electro-elastic plate

  • Kondaiah, P.;Shankar, K.;Ganesan, N.
    • Coupled systems mechanics
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    • 제2권1호
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    • pp.1-22
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    • 2013
  • Under thermal environment, Magneto-Electro-Elastic (MEE) material exhibits pyroelectric and pyromagnetic effects which can be used for enhancing the performance of MEE sensors. Recently studies have been published on material constants such as pyroelectric constant and pyromagnetic constant for magneto-electro-thermo-elastic smart composite. Hence, the main aim of this paper is to study the pyroelectric and pyromagnetic effects on behavior of MEE plate under different boundary conditions subjected to uniform temperature. A numerical study is carried out using eight noded brick finite element under uniform temperature rise of 100 K. The study focused on the pyroelectric and pyromagnetic effects on system parameters like displacements, thermal stresses, electric potential, magnetic potential, electric displacements and magnetic flux densities. It is found that, there is a significant increase in electric potential due to the pyroelectric and pyromagnetic effects. These effects are visible on electric and magnetic potentials when CFFC and FCFC boundary conditions are applied. Additionally, the pyroelectric and pyromagnetic effects at free edge is dominant (nearly thrice the value in CFFC in comparison with FCFC) than at middle of the plate. This study is a significant contribution to sensor applications.

Structural integrity assessment procedure of PCSG unit block using homogenization method

  • Gyogeun Youn;Wanjae Jang;Youngjae Jeon;Kang-Heon Lee;Gyu Mahn Lee;Jae-Seon Lee;Seongmin Chang
    • Nuclear Engineering and Technology
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    • 제55권4호
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    • pp.1365-1381
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    • 2023
  • In this paper, a procedure for evaluating the structural integrity of the PCSG (Printed Circuit Steam Generator) unit block is presented with a simplified FE (finite element) analysis technique by applying the homogenization method. The homogenization method converts an inhomogeneous elastic body into a homogeneous elastic body with same mechanical behaviour. This method is effective when the inhomogeneous elastic body has repetitive microstructures, and thus the method was applied to the sheet assembly among the PCSG unit block components. From the method, the homogenized equivalent elastic constants of the sheet assembly were derived. The validity of the determined material properties was verified by comparing the mechanical behaviour with the reference model. Thermo-mechanical analysis was then performed to evaluate the structural integrity of the PCSG unit block, and it was found that the contact region between the steam header and the sheet assembly is a critical point where large bending stress occurs due to the temperature difference.

고무부품의 유한요소해석을 위한 재료시험 및 비선형 재료물성에 관한 연구 (Mechanical Testing and Nonlinear Material Properties for Finite Element Analysis of Rubber Components)

  • 김완두;김완수;김동진;우창수;이학주
    • 대한기계학회논문집A
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    • 제28권6호
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    • pp.848-859
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    • 2004
  • Mechanical testing methods to determine the material constants for large deformation nonlinear finite element analysis were demonstrated for natural rubber. Uniaxial tension, uniaxial compression, equi-biaxial tension and pure shear tests of rubber specimens are performed to achieve the stress-strain curves. The stress-strain curves are obtained after between 5 and 10 cycles to consider the Mullins effect. Mooney and Ogden strain-energy density functions, which are typical form of the hyperelastic material, are determined and compared with each other. The material constants using only uniaxial tension data are about 20% higher than those obtained by any other test data set. The experimental equations of shear elastic modulus on the hardness and maximum strain are presented using multiple regression method. Large deformation finite element analysis of automotive transmission mount using different material constants is performed and the load-displacement curves are compared with experiments. The selection of material constant in large deformation finite element analysis depend on the strain level of component in service.

SP 크리프 시험의 유한요소해석을 이용한 재료물성 평가 (Assessment of Material Properties Using Finite Element Analysis for Small Punch Creep Testing)

  • 박태규;마영화;윤기봉;정일석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.511-516
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    • 2001
  • Recently small punch creep testing (or miniature disc bend creep test) has received much attention through European collaborative research projects. This method was considered as a substitute for the conventional creep rupture testing by which the residual creep life is measured from the specimen taken out from serviced components of high temperature plants. It would be beneficial if the material creep properties such as power law creep constants as well as the creep rupture life can be measured from the small punch creep test. In this paper a method of assessing creep constants from the small punch creep testing is proposed. Finite element analyses were performed to investigate evolution of stress and strain rate at the weakest locations of the small punch creep specimen. Elastic-plastic-secondary creep analyses were carried out. The estimation equations for creep constants by the small punch creep testing are proposed based on the finite analysis results. Small punch creep tests were also performed with 9Cr steel and the accuracy of the proposed equation was verified by the experimental results.

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소형펀치 크리프 시험을 이용한 9Cr강의 크리프 상수 평가 (Assessment of Creep Properties of 9Cr Steel Using Small Punch Creep Testing)

  • 윤기봉;박태규;심상훈;정일석
    • 대한기계학회논문집A
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    • 제25권9호
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    • pp.1493-1500
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    • 2001
  • Recently small punch creep testing (or miniature disc bend creep test) has received much attention through European collaborative research projects. This method was considered as a substitute for the conventional creep rupture testing by which the residual creep life is measured from the specimen taken out from serviced components of high temperature plants. It would be beneficial if the material creep properties such as power law creep constants as well as the creep rupture life can be measured from the small punch creep test. In this paper a method of assessing creep constants from the small punch creep testing is proposed. Finite element analyses were performed to investigate evolution of stress and strain rate at the weakest locations of the small punch creep specimen. Elastic-plastic-secondary creep analyses were carried out. The estimation equations for creep constants by the small punch creep testing are proposed based on the finite analysis results. Small punch creep tests were also performed with 9Cr steel and the accuracy of the proposed equation was verified by the experimental results.

Characterization of Stiffness Coefficients of Silicon Versus Temperature using "Poisson's Rati" Measurements

  • Cho, Chun-Hyung;Cha, Ho-Young;Sung, Hyuk-Kee
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제16권2호
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    • pp.153-158
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    • 2016
  • The elastic material constants, stiffness constants ($c_{11}$, $c_{12}$, and $c_{44}$), are three unique coefficients that establish the relation between stress and strain. Accurate knowledge of mechanical properties and the stiffness coefficients for silicon is required for design of Micro-Electro-Mechanical Systems (MEMS) devices for proper modeling of stress and strain in electronic packaging. In this work, the stiffness coefficients for silicon as a function of temperature from $-150^{\circ}C$ to $+25^{\circ}C$ have been extracted by using the experimental measurements of Poisson's ratio (${\nu}$) of silicon in several directions.

평면이방성 분석에서 Saint-Venant 근사식의 수학적 해석 (Mathematical Understanding of the Saint-Venant Approximation in Analysis of a Transverse Isotropy)

  • 박철환;박찬;박정욱;정용복
    • 터널과지하공간
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    • 제26권5호
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    • pp.363-374
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    • 2016
  • 여러 가지 이유로 단일시험편에서 평면이방성 암석의 5개의 독립적 탄성상수를 결정해야 할 경우, Saint-Venant 근사식은 오랫동안 매우 유용하게 사용되어 왔다. 본 논문은 이 경험적 수식이 겉보기 탄성계수로 표현되는 수식으로 전환될 수 있음을 탄성이론에 근거한 수학적 전개를 통하여 밝히고 있다. 이렇게 전환된 수식은 이방성 각도에 단조증가하는 특성을 갖고 있으며, 이방성 암반의 초기응력측정에 유용하게 사용될 것이다. 문헌의 자료를 분석한 결과, $G^2$의 측정값은 각도와 관계없이 일정한 크기이며, Saint-Venant 근사식에 의하여 유도된 값보다 작은 것으로 분석되었다. 이러한 감분은 층상의 경계면에서 미끄러짐에 의하여 발생하는 것으로 판단되며, 미끄러짐에 의한 감소비율은 층상의 결합상태와 암석의 강도에 따라 유추될 수 있다. 이러한 분석들이 향후에 계속되어 자료가 누적된다면 감소비율을 규정할 수 있고, Saint-Venant 근사식의 수정을 통하여 단일시험편으로부터 탄성상수를 결정할 수 있을 것이다.

횡적등방성 특성을 갖는 단양 석회암의 수평응력차비 고찰 (Differential Horizontal Stress Ratio for Danyang Limestone with Vertical Transversely Isotropy)

  • 장성형;황세호;신제현;김태연
    • 지구물리와물리탐사
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    • 제20권4호
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    • pp.207-215
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    • 2017
  • 비전통 에너지 자원의 하나인 셰일가스를 개발하기 위해서는 수평시추와 수압파쇄가 필요하고 이 작업들은 수평응력차비가 낮은 곳에서 실시한다. 수평응력차비는 일반적으로 최대 수평응력과 최소 수평응력을 측정하여 구하지만 동탄성계수와 이방성변수를 활용하여 구하기도 한다. 본 연구에서는 단양 석회암 암석코어 시료실험을 통해 이방성 특성을 살펴보고 수평응력차비를 구하였다. 단양 석회암체에서 퇴적 층리면에 수직, 45도, 수평방향으로 된 암석코어 시료를 성형하고 P파 속도, S파 속도, 밀도를 측정한 후 동탄성계수, 컴플라이언스계수를 구하여 수평응력차비를 계산하였다. 시료분석결과 수평응력차비는 약 0.185로 제시하였다. 단양 석회암은 층리 대칭축에 따라서 P파, S파의 속도가 변화하여 Thomsen 매개변수 값도 이와 같은 특징을 잘 반영하고 있으며 수평응력차비는 포아송 비보다 컴플라이언스 값에 영향을 많이 받고 있다. 향후 SH파 속도를 측정할 경우 좀 더 정확한 암석물리 물성을 구할 수 있을 것으로 판단된다.