• 제목/요약/키워드: elastic numerical analysis

검색결과 1,255건 처리시간 0.026초

Viscoelastic Analysis of an Interface Edge Crack in a Bonded Polymeric Film

  • Lee, Sang-Soon
    • 반도체디스플레이기술학회지
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    • 제9권3호
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    • pp.35-39
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    • 2010
  • Interfacial stress singularity induced in an analysis model consisting of the polymeric thin film and the elastic substrate has been investigated using the boundary element method. The interfacial singular stresses between the viscoelastic thin film and the elastic substrate subjected to a uniform moisture ingression are investigated for the case of a small interfacial edge crack. It is assumed that moisture effects are assumed to be analogous to thermal effects. Then, the overall stress intensity factor for the case of a small interfacial edge crack is computed. The numerical procedure does not permit calculation of the limiting case for which the edge crack length vanishes.

Ultrasonic Estimation and FE Analysis of Elastic Modulus of Kelvin Foam

  • Kim, Nohyu;Yang, Seungyong
    • 비파괴검사학회지
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    • 제36권1호
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    • pp.9-17
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    • 2016
  • The elastic modulus of a 3D-printed Kelvin foam plate is investigated by measuring the acoustic wave velocity of 1 MHz ultrasound. An isotropic tetrakaidecahedron foam with 3 mm unit cell is designed and printed layer upon layer to fabricate a Kelvin foam plate of 14 mm thickness with a 3D CAD/printer using ABS plastic. The Kelvin foam plate is completely filled with paraffin wax for impedance matching, so that the acoustic wave may propagate through the porous foam plate. The acoustic wave velocity of the foam plate is measured using the time-of-flight (TOF) method and is used to calculate the elastic modulus of the Kelvin foam plate based on acousto-elasticity. Finite element method (FEM) and micromechanics is applied to the Kelvin foam plate to calculate the theoretical elastic modulus using a non-isotropic tetrakaidecahedron model. The predicted elastic modulus of the Kelvin foam plate from FEM and micromechanics model is similar, which is only 3-4% of the bulk material. The experimental value of the elastic modulus from the ultrasonic method is approximately twice as that of the numerical and theoretical methods because of the flexural deformation of the cell edges neglected in the ultrasonic method.

Axisymmetric analysis of a functionally graded layer resting on elastic substrate

  • Turan, Muhittin;Adiyaman, Gokhan;Kahya, Volkan;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제58권3호
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    • pp.423-442
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    • 2016
  • This study considers a functionally graded (FG) elastic layer resting on homogeneous elastic substrate under axisymmetric static loading. The shear modulus of the FG layer is assumed to vary in an exponential form through the thickness. In solution, the FG layer is approximated into a multilayered medium consisting of thin homogeneous sublayers. Stiffness matrices for a typical homogeneous isotropic elastic layer and a half-space are first obtained by solving the axisymmetric elasticity equations with the aid of Hankel's transform. Global stiffness matrix is, then, assembled by considering the continuity conditions at the interfaces. Numerical results for the displacements and the stresses are obtained and compared with those of the classical elasticity and the finite element solutions. According to the results of the study, the approach employed here is accurate and efficient for elasto-static problems of FGMs.

정현상 대칭으로 Taper진 변단면 압축재의 임계하중 (The Elastic Critical Loads of Sinusolidally Tapered Symmetric Compression Members)

  • 오금열;홍종국;김순철;이수곤
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.27-34
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    • 2000
  • The elastic critical loads of prismatic compression members can be easily determined by the conventional analytic method. In the cases of sinusoidally tapered members, however, the determination of elastic critical loads become impossible when one relies on the analytic method. In this paper, the critical loads of sinusoidally tapered members were determined by finite element method. Generally the output or results of numerical analysis are valid only when the governing parameters of a given system(or problem) have particular values. To make the practical applications easy, the critical loads determined by finite element method are expressed by some algebraic equations. The constants contained in the algebraic equations were determined by regression technique. The elastic critical loads estimated by the proposed algebraic equations coincide well with those by finite element method.

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Nonlinear frequency analysis of beams resting on elastic foundation using max-min approach

  • Bayat, Mahmoud;Bayat, Mahdi;Kia, Mehdi;Ahmadi, Hamid Reza;Pakar, Iman
    • Geomechanics and Engineering
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    • 제16권4호
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    • pp.355-361
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    • 2018
  • In this paper, nonlinear vibration of Euler-Bernoulli beams resting on linear elastic foundation is studied. It has been tried to prepare a semi-analytical solution for whole domain of vibration. Only one iteration lead us to high accurate solution. The effects of linear elastic foundation on the response of the beam vibration are considered and studied. The effects of important parameters on the ratio of nonlinear to linear frequency of the system are studied. The results are compared with numerical solution using Runge-Kutta $4^{th}$ technique. It has been shown that the Max-Min approach can be easily extended in nonlinear partial differential equations.

부분 탄성지지된 유체 저장 원통셸의 자유진동 (Free Vibrations of Fluid-filled Cylindrical Shells on Partial Elastic Foundations)

  • 정강;김영완
    • 한국소음진동공학회논문집
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    • 제22권8호
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    • pp.763-770
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    • 2012
  • The free vibration characteristics of fluid-filled cylindrical shells on partial elastic foundations are investigated by an analytical method. The cylindrical shell is fully or partially surrounded by the elastic foundations, these are represented by the Winkler or Pasternak model. The motion of shell is represented by the first order shear deformation theory to account for rotary inertia and transverse shear strains. The steady flow of fluid is described by the classical potential flow theory. The fluid-structure interaction is considered in the analysis. The effect of internal fluid can be considered by imposing a relation between the fluid pressure and the radial displacement of the structure at the interface. To validate the present method, the numerical example is presented and compared with the available existing results.

탄성혈관 내 기계식 인공심장판막(MHV)의 거동 및 혈액 유동 특성에 관한 수치해석적 연구 (A Numerical Analysis on the Motion of Mechanical Heart Valve(MHV) and Characteristics of Blood Flow in an Elastic Blood Vessel)

  • 방진석;최청렬;김창병
    • 한국정밀공학회지
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    • 제22권3호
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    • pp.154-161
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    • 2005
  • In this study, the leaflet motion of a mechanical heart valve and the characteristics of two-dimensional transient blood flow in an elastic blood vessel have been numerically investigated by using fluid-structure interaction method. Here, blood has been assumed as a Newtonian, incompressible fluid. Pressure profiles have been used as boundary conditions at the ventricle and the aorta. As a result, closing motion of the leaflet is faster than opening one. While opening angles of leaflet grow up, vortex is detected at the sinus and backward of the leaflets. When the leaflet is fully closed, vortex is detected at the ventricle and at that moment maximum displacement of the elastic blood vessel is observed in the vicinity of the sinus region. Maximum displacement is caused in association with the blood flow that is oriented toward the elastic blood vessel.

강성 또는 연성 물체로 인한 음향파와 탄성파 산란의 수치해석 및 특성 분석 (Numerical Analysis and Characteristics of Acoustic and Elastic Wave Scattering from Rigid or Soft Objects)

  • Huinam Rhee
    • 소음진동
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    • 제8권6호
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    • pp.1172-1180
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    • 1998
  • 음향학적으로 강성인 물체와 연성인 물체로부터의 탄성파의 산란과 음향파의 산란을 수치적으로 해석하고 그 특성들을 비교하였다. 부분파들과. 또한 부분파들의 합인 전체 산란파의 위상 및 크기의 거동을 수치적으로 분석하고 토의하였다. 탄성파의 산란시 발생하는 종파와 횡파 사이의 모드변환 현상이 산란파의 크기와 위상에 주는 영향을 밝혔다.

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부품의 탄성변형을 고려한 내연기관 밸브트레인 동역학 해석 (Analysis of Valvetrain Dynamics of an Internal Combustion Engine with Elastic Deformation of the Components)

  • 이기수
    • 한국자동차공학회논문집
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    • 제17권4호
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    • pp.63-71
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    • 2009
  • The elastic effects of the valve train components are analyzed by using the finite element models of the rocker arm and valve. The whole equations of motion of the valvetrain of an internal combustion engine formulated by finite element techniques are solved by imposing the contact conditions with the augmented Lagrange multiplier method. The velocity and acceleration constraints as well as the displacement constraints are imposed on the contact points. The numerical simulations show that, even if the magnitude of the elastic deformation of the components is very small, it may have large effects on the valvetrain dynamics of a high-speed engine.