• Title/Summary/Keyword: elastic analysis

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Simulate of edge and an internal crack problem and estimation of stress intensity factor through finite element method

  • Yaylaci, Murat
    • Advances in nano research
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    • v.12 no.4
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    • pp.405-414
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    • 2022
  • In this study, the elastic plane problem of a layered composite containing an internal or edge crack perpendicular to its boundaries in its lower layer is examined using numerical analysis. The layered composite consists of two elastic layers having different elastic constants and heights. Two bonded layers rest on a homogeneous elastic half plane and are pressed by a rigid cylindrical stamp. In this context, the Finite Element Method (FEM) based software called ANSYS is used for numerical solutions. The problem is solved under the assumptions that the contacts are frictionless, and the effect of gravity force is neglected. A comparison is made with analytical results in the literature to verify the model created and the results obtained. It was found that the results obtained from analytical formulation were in perfect agreements with the FEM study. The numerical results for the stress-intensity factor (SIF) are obtained for various dimensionless quantities related to the geometric and material parameters. Consequently, the effects of these parameters on the stress-intensity factor are discussed. If the FEM analysis is used correctly, it can be an efficient alternative method to the analytical solutions that need time.

Buckling analysis of functionally graded plates resting on elastic foundation by natural element method

  • Cho, J.R.
    • Steel and Composite Structures
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    • v.44 no.2
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    • pp.171-181
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    • 2022
  • Functionally graded material (FGM) has been spotlighted as an advanced composite material due to its excellent thermo-mechanical performance. And the buckling of FGM resting on elastic foundations has been a challenging subject because its behavior is directly connected to the structural safety. In this context, this paper is concerned with a numerical buckling analysis of metal-ceramic FG plates resting on a two-parameter (Pasternak-type) elastic foundation. The buckling problem is formulated based on the neutral surface and the (1,1,0) hierarchical model, and it is numerically approximated by 2-D natural element method (NEM) which provides a high accuracy even for coarse grid. The derived eigenvalue equations are solved by employing Lanczos and Jacobi algorithms. The numerical results are compared with the reference solutions through the benchmark test, from which the reliability of present numerical method has been verified. Using the developed numerical method, the critical buckling loads of metal-ceramic FG plates are parametrically investigated with respect to the major design parameters.

A Study on Determination of $J_{IC}$ by Time-Frequency Analysis Method (시간-주파수 해석법에 의한 $J_{IC}$결정에 관한 연구)

  • Nam, Gi-U;An, Seok-Hwan;Kim, Bong-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.5
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    • pp.765-771
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    • 2001
  • Elastic-plastic fracture toughness JIC can be used a s an effective design criterion in elastic-plastic fracture mechanics. Among the JIC test methods approved by ASTM, unloading compliance method was used in this study. In order to examine the relationship between fracture behavior of JIC test and AE signals, the post processing of AE signals has been carried out by Short Time Fourier Transform(STFT), one of the time-frequency analysis methods. The objective of this study is to evaluate the application of characterization of AE signals for unloading compliance method of JIC test. As a result of time-frequency analysis, we could extract the AE from the raw signal and analyze the frequencies in AE signal at the same time. AE signal generated by elastic-plastic fracture of material has some different aspects at elastic and plastic ranges, or the first portion of crack growth by fracture. First of all, increased energy recorded and detected by using AE count method increase rapidly from the start of ductile fracture. The variation of main frequency range with time-frequency analysis method could be confirmed. We could know fracture behavior of interior material by examination AE characteristics generated in real-time when elastic-plastic fracture occurred in material under loading.

Elastic Buckling Analysis of Single Hat Rectangular Tubes (단일 모자형 사각 단면 부재의 탄성좌굴해석)

  • 김윤영;한창운
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.5
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    • pp.1251-1258
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    • 1995
  • An elastic buckling analysis of single hat rectangular tubes is carried out. Based on Bleich's buckling theory for elastically restrained plates, a method to estimate the compliance of the supporting plates for the buckling plate and to compensate the effects of compression force acting on the supporting plates is offered. Necessary assumptions which enable an analytic approach to be used are also given. The present results are compared with the finite element results obtained from ABAQUS.

An Analysis on Fracture Behavior of Aluminum Foil and Paper by Linear Elastic Fracture Mechanics (선형파괴역학에 의한 Aluminum Foil과 종이의 파괴거동 해석)

  • An, Deuk-Man;Ok, Young-Gu
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.159-164
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    • 2000
  • The fracture behaviors of aluminum foils and sheet papers were analyzed on the basis of linear elastic fracture mechanics(LEFM). The fracture loads of the similarly shaped specimens were calculated by dimensional analysis. The actual fracture loads were measured using the simple tension equipment. The predicted fracture loads were compared with the experimental results.

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Application of Boundary Element Methods to Interface Crack Problems (II) : Elastic -Viscoelastic Problem (계면균열해석에 대한 경계요소법의 응용 (II) : 탄성-점탄성 문제)

  • 이상순;김정규;김태형;박건우;황종근
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.04a
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    • pp.95-102
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    • 1996
  • The stress intensity factor for an interface crack in dissimilar elastic and viscoelastic materials is derived and the time-domain boundary element analysis is performed. Numerical results show that the proposed method is very useful for the analysis of the interface crack in elastic and viscoelastic bimaterials.

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The influence of initial stress on wave propagation and dynamic elastic coefficients

  • Li, Xibing;Tao, Ming
    • Geomechanics and Engineering
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    • v.8 no.3
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    • pp.377-390
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    • 2015
  • The governing equations of wave propagation in one dimension of elastic continuum materials are investigated by taking the influence of the initial stress into account. After a short review of the theory of elastic wave propagation in a rock mass with an initial stress, results indicate that the initial stress differentially influences P-wave and S-wave propagation. For example, when the initial stress is homogeneous, for the P-wave, the initial stress only affects the magnitude of the elastic coefficients, but for the S-wave, the initial stress not only influences the elastic coefficients but also changes the governing equation of wave propagation. In addition, the P-wave and S-wave velocities were measured for granite samples at a low initial stress state; the results indicate that the seismic velocities increase with the initial stress. The analysis of the previous data of seismic velocities and elastic coefficients in rocks under ultra-high hydrostatic initial stress are also investigated.

DEPENDENCE OF RUBBER FRICTION UPON ITS ELASTIC CHARACTERISTICS

  • Nakamura, T.;Hanase, T.;Itoigawa, F.;Matsubara, T.
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2002.10b
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    • pp.187-188
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    • 2002
  • Rubber has large differences in elastic characteristics from the other solid materials such as metals. Firstly, the rubber exhibits considerably large elastic compliance. Second is highly non-linear elasticity in which the compliance decreases with increase in strain. The main objective in this research is to reveal the dependence of rubber friction upon these elastic characteristics of the rubber in detail. A super elastic FEM analysis is carried out with using an elastic property of practical rubber. From the calculated result, it is cleared that the rubber makes large real contacting area easier than the metals.

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Vibration control of elastic systems (탄성계의 진동제어)

  • 박영필;이상조
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.113-118
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    • 1986
  • The feedback controllers for the active vibration control of elastic systems are developed using optimal regulator, optimal tracking, time optimal and noise observer algorithms. Using the modal analysis of the elastic systems, the effects of the actuator positions, the input weighting factor and the magnitude of the constraint of the actuator force are investigated.

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Theoretical Estimates for Elastic Properties of Biaxial Nematics

  • Allender, David W.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.195-198
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    • 2005
  • Using theoretical analysis based on Landau theory, it is shown that only five phenomenological parameters are necessary to describe the twelve bulk elastic constants of a biaxial nematic phase. Further, a simple method for determining the values of these five parameters experimentally is given. Comparison with the values of the well-known splay, twist, and bend elastic constants of the uniaial nematic is made.

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