• 제목/요약/키워드: Effective Anisotropic Elastic Constants

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Assessment of Equivalent Elastic Modulus of Perforated Spherical Plates

  • JUMA, Collins;NAMGUNG, Ihn
    • 한국압력기기공학회 논문집
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    • 제15권1호
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    • pp.8-17
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    • 2019
  • Perforated plates are used for the steam generator tube-sheet and the Reactor Vessel Closure Head in the Nuclear Power Plant. The ASME code, Section III Appendix A-8000, addresses the analysis of perforated plates, however, this analysis is only limited to the flat plate with a triangular perforation pattern. Based on the concept of the effective elastic constants, simulation of flat and spherical perforated plates and their equivalent solid plates were carried out using Finite Element Analysis (FEA). The isotropic material properties of the perforated plate were replaced with anisotropic material properties of the equivalent solid plate and subjected to the same loading conditions. The generated curves of effective elastic constants vs ligament efficiency for the flat perforated plate were in agreement with the design curve provided by ASME code. With this result, a plate with spherical curvature having perforations can be conveniently analyzed with equivalent elastic modulus and equivalent Poisson's ratio.

생체구조를 모방한 다층복합재료의 이방성 유효탄성계수 및 저속 충격 해석 (Analysis of Effective Anisotropic Elastic Constants and Low-Velocity Impact of Biomimetic Multilayer Structures)

  • 이종원;범현규
    • 한국정밀공학회지
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    • 제29권11호
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    • pp.1245-1255
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    • 2012
  • Effective elastic constants of biomimetic multilayer structures with hierarchical structures are evaluated based on the potential energy balance method. The effective anisotropic elastic constants are used in analyzing low-velocity impact of biomimetic multilayer structures consisting of mineral and protein. It is shown that displacements of biomimetic multilayer structures strongly depend on the volume fraction of mineral and hierarchical level. The effect of the volume fraction of mineral and hierarchical level on the contact force and stresses at the impact point are also discussed.

뼈와 유사한 생체복합재료의 유효탄성계수에 대한 수치해석 (Numerical Analysis of Effective Elastic Constants of Bone-Like Biocomposites)

  • 이도륜;범현규
    • 한국정밀공학회지
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    • 제28권11호
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    • pp.1288-1296
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    • 2011
  • Effective elastic constants of bone-like biocomposites are investigated numerically. The bone-like materials are composed of strong layers and weak layers, and hierarchically structured. The unit cell model is employed to obtain the effective elastic constants. The effective anisotropic elastic constants of bone-like composites are obtained by using the potential energy method and finite element analysis. The effects of the Poisson's ratio, elastic modulus, hierarchical level, volume fraction and aspect ratio of the strong layer composed of the composites on the effective elastic constants are discussed.

온양지역에 분포하는 호상편마암을 이용한 평면 이방성 암석의 탄성상수 측정방법 (Method of Elastic Constant Measurement for Transversely Isotropic Rocks: Application to Banded Gneiss of the Onyang Region)

  • 장현식;이옥탑;장보안
    • 지질공학
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    • 제22권3호
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    • pp.309-321
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    • 2012
  • 충청남도 온양지역에서 채취한 호상편마암으로부터 $0^{\circ}$ 시료 9개, $15^{\circ}$, $30^{\circ}$, $45^{\circ}$ 시료 각 10개, $60^{\circ}$, $75^{\circ}$ 시료 각 11개, $0^{\circ}$ 시료 9개를 획득하여 총 70개의 시료를 이용해 이방성 탄성상수를 측정하였다. 이방성 각 $0^{\circ}$, $90^{\circ}$ 시료에서 측정된 탄성상수($E_1$, $E_2$, ${\nu}_{12}$, ${\nu}_{21}$)를 기준값으로 설정하고 Jang et al. (2001)과 Park et al. (2008)에 의해 제안된 방법을 이용하여 $15^{\circ}$, $30^{\circ}$, $45^{\circ}$, $60^{\circ}$, $75^{\circ}$ 시료의 탄성계수($E_1$, $E_2$)를 계산한 후 기준값과 비교하였다. Jang et al. (2001)의 제안법을 사용할 경우 $60^{\circ}$, $75^{\circ}$와 같은 고각의 이방성 시료에서는 $E_1$이 비교적 정확하게 계산되고 $15^{\circ}$, $30^{\circ}$와 같은 저각의 이방성 시료에서는 $E_2$가 비교적 정확하게 계산되었다. Park et al. (2008)의 제안법의 경우 $E_1$$45^{\circ}$$60^{\circ}$ 시료에서만 비교적 정확한 값을 계산해냈고 $E_2$$15^{\circ}$, $30^{\circ}$, $60^{\circ}$ 시료에서 비교적 정확하게 계산되었다. 유효성 검토 결과 두 제안법 모두 총 20개의 유효성 판단구간에서 '유효함(Effective)' 7개(35%), '가능함(Possible)' 5개(25%), '유효하지 않음(Ineffective)' 8개(40%)로 분석되어 두 제안법의 유효성은 같은 수준이었다. 다만 Jang et al. (2001)의 제안법은 $E_1$을, Park et al. (2008)의 제안법은 $E_2$를 계산하는데 상대적으로 더 유효한 것으로 분석되었다.

방향분포를 가진 다상 금속복합재료의 탄성 및 전도해석에 관한 연구 (Elasticity and Conduction analysis of multi-Phase, Misoriented Metal matrix Composites)

  • 정현조
    • 대한기계학회논문집
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    • 제19권9호
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    • pp.2181-2193
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    • 1995
  • The effective elasticity and conduction of composite materials containing arbitrarily oriented multiple phases has been analyzed using the concept of orientation-dependent average fields and concentration factors. The analysis provided closed form expressions for the effective stiffnesses and conductivities. Under the prescribed boundary conditions, the concentration factors were evaluated by the equivalent inclusion principle, through which the interaction between various phases is approximated by the Mori-Tanaka mean-field approximation. SiC particulate(SiC$_{p}$) reinforce aluminum(Al) matrix composites were fabricated and their elastic constants and electrical conductivities were measured together with a careful study of their microstructure. The measured properties showed a systematic anisotropy and this behavior could be attributed to the preferred orientation of SiC$_{p}$. The theoretical model developed was applied to the computation of the anisotropic properties of these composites. Both two-phase and three-phase composites were considered based on the microstructural information. The SiC$_{p}$ was modeled as an ellipsoid with planar random orientation distribution in the extruded Al/SiC$_{p}$ composites. The effect of extraneous phase such as intermetallic compounds was also investigated.tigated.