• 제목/요약/키워드: plane-stress

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경사기능재료 사각 판의 비정상 열 탄생변형과 응력해석 (Unsteady Thermoelasic Deformation and Stress Analysis of a FGM Rectangular Plate)

  • 김귀섭
    • 한국항공우주학회지
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    • 제32권8호
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    • pp.91-100
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    • 2004
  • 경사기능재료 판에 대한 열탄성 변형과 응력 해석을 위해 Green 함수 방법이 채택되었다. 3 차원 비정상 온도분포에 대한 해는 적층판 이론에 의해 얻어진다. 열탄성 문제에 대한 기본 방정식은 각각 평면외 (out-plane) 변형과 평면내 (in-plane) 힘에 의해 유도되었다. 굽힘과 평면내 힘에 의한 열탄성 변형과 응력분포는 Galerkin 방법에 근거한 Green 함수를 이용하여 해석하였다. 열탄성 변형과 응력분포 해석을 위한 Galerkin Green 함수의 특성함수들은 사각판의 제차 경계조건을 만족시키는 허용함수들의 급수 형태로 근사화되었다. 단수지시된 사각 판에 대한 수치해석이 수행되었으며, 정사기능재료의 물성치가 판의 비정상 열탄성 거동에 미치는 영향이 검토되었다.

구조설계실무 현황을 고려한 전단벽 해석모형에 관한 고찰 (A Study on the Analytical Model of Shear Wall Considering the Current Status of Structural Design)

  • 정성진
    • 대한건축학회논문집:구조계
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    • 제34권9호
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    • pp.3-10
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    • 2018
  • While computer environments have been dramatically developed in recent years, as the building structures become larger, the structural analysis models are also becoming more complex. So there is still a need to model one shear wall with one finite element. From the viewpoint of the concept of FEA, if one shear wall is modeled by one finite element, the result of analysis is not likely accurate. Shear wall may be modelled with various finite elements. Among them, considering the displacement compatibility condition with the beam element connected to the shear wall, plane stress element with in-plane rotational stiffness is preferred. Therefore, in order to analyze one shear wall with one finite element accurately, it is necessary to evaluate finite elements developed for the shear wall analysis and to develop various plane stress elements with rotational stiffness continuously. According to the above mentioned need, in this study, the theory about a plane stress element using hierarchical interpolation equation is reviewed and stiffness matrix is derived. And then, a computer program using this theory is developed. Developed computer program is used for numerical experiments to evaluate the analysis results using commercial programs such as SAP2000, ETABS, PERFORM-3D and MIDAS. Finally, the deflection equation of a cantilever beam with narrow rectangular section and bent by an end load P is derived according to the elasticity theory, and it is used to for comparison with theoretical solution.

Fault Plane Solutions for the Recent Earthquakes in the Central Region of South Korea

  • Hoe, Seo-Yun;Kyung, Jai-Bok
    • 한국지구과학회지
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    • 제29권5호
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    • pp.437-445
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    • 2008
  • We analyzed fault plane solutions of the recent twenty-two earthquakes which occurred from 2004 to 2006 in the central part of the Korean Peninsula by using P- and S-wave polarities along with SH/P amplitude ratios. The fault plane solution shows that strike-slip fault is dominant here, especially for the events with local magnitude equal to or greater than 3.0. However, some events with local magnitude less than 3.0 show normal fault or strike-slip fault with normal components. In the case of strike-slip fault, its orientation is almost in the direction of NNE-SSW to NE-SW almost parallel to the general trend of faults, while the compressional axis of the stress field trends ENE to E-W. The result is almost consistent with the stress field in and around the Korean peninsula, as reported previously. We cannot give any appropriate explanations to the normal faulting events along the western offshore and inland areas whether it is related to the local stress changes or tectonically unidentified extensional structures. Thus, an extension of investigations is desirable to clarify the cause of such phenomena.

Influence of polled direction on the stress distribution in piezoelectric materials

  • Ilhan, Nihat;Koc, Nagihan
    • Structural Engineering and Mechanics
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    • 제54권5호
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    • pp.955-971
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    • 2015
  • In this paper, the influence of the polled direction of piezoelectric materials on the stress distribution is studied under time-harmonic dynamical load (time-harmonic Lamb's problem). The system considered in this study consists of piezoelectric covering layer and piezoelectric half-plane, and the harmonic dynamical load acts on the free face of the covering layer. The investigations are carried out by utilizing the exact equations of motion and relations of the linear theory of electro-elasticity. The plane-strain state is considered. It is assumed that the perfect contact conditions between the covering layer and half-plane are satisfied. The boundary value problems under consideration are solved by employing Fourier exponential transformation techniques with respect to coordinates directed along the interface line. Numerical results on the influence of the polled direction of the piezoelectric materials such as PZT-5A, PZT-5H, PZT-4 and PZT-7A on the normal stresses, shear stresses and electric potential acting on the interface plane are presented and discussed. As a result of the analyses, it is established that the polled directions of the piezoelectric materials play an important role on the values of the studied stresses and electric potential.

시편두께 및 균열깊이 영향을 고려한 비표준시편의 J 시험법 및 구속효과의 정량화 (Specimen Thickness and Crack Depth Effects on J Testing and Crack Tip Constraint for Non-standard Specimen)

  • 김진수;조수만;김윤재;김영진
    • 대한기계학회논문집A
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    • 제27권9호
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    • pp.1531-1538
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    • 2003
  • This paper compiles solutions of plastic $\eta$ factors and crack tip stress triaxialites for standard and nonstandard fracture toughness testing specimens, via detailed three-dimensional (3-D) finite element (FE) analyses. Fracture toughness testing specimens include a middle cracked tension (M(T)) specimen, SE(B), single-edge cracked bar in tension (SE(T)) and C(T) specimen. The ligament-to-thickness ratio of the specimen is systematically varied. It is found that the use of the CMOD overall provides more robust experimental J estimation than that of the LLD, for all cases considered in the present work. Moreover, the J estimation based on the load-CMOD record is shown to be insensitive to the specimen thickness, and thus can be used for testing specimen with any thickness. The effects of in-plane and out-of-plane constraint on the crack tip stress triaxiality are also quantified, so that when experimental J value is estimated according to the procedure recommended in this paper, the corresponding crack tip stress triaxiality can be estimated. Moreover, it is found that the out-of-plane constraint effect is related to the in-plane constraint effect.

배수용 Geotextlle의 평면투수 성능분석 (Analysis on Character and Ability of In -Plane Permeability of Geotextiles Used for Darainage)

  • 이상호
    • 한국지반공학회지:지반
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    • 제8권3호
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    • pp.61-74
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    • 1992
  • Geoteztile drain의 설계를 위한 기초자료를 제시하기 위하여 배수용 geotextile을 대상으로 평면투수성능을 실험적으로 분석하였다. 일반적으로 압축응력의 증가에 대한 geotextile의 두께, 평면투수계수 및 전수성은 10KN/m2 정도 이하에서 현자한 감소를 보였으며 Geotextile의 평면투수계수는 장섬유부직포가 단섬유부직포나 복합포 보다 낮게 나타났다. 또한 Geotextile의 압축률은 PES. 계부직포가 PP계 부직포 보다 큰 경향을 보였으며 geotextile의 압축음력 e(KN In)와 압축률 Cr(oA)의 관계식은 Cr=13.37 In+23.28로 표시되었고 2KN In"를 기준 으로 한 압축률 Cr'와 평면 투수계수 감소율 Pr의 관계식은 Pr=1.250r'로 표시되었다.

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수평 불연속변 하부에 굴착한 얄은 심도의 2-Arch 터널의 거동 (Behavior of shallow 2-Arch tunnel due to excavation under horizontal discontinuity plane)

  • 전은숙;김홍문;이상덕
    • 한국터널지하공간학회 논문집
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    • 제7권3호
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    • pp.227-237
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    • 2005
  • 본 연구에서는 수평 불연속면 하부에 굴착한 얄은 섬도의 2-Arch 터널의 거동을 실험적으로 규명하고자 하였다. 이를 위하여 토피고와 불연속면의 위치를 변화시켜가며 모형실험을 수행하였다. 모형실험은 실제 2-Arch 터널의 Pilot 터널굴착에서 본선터널불착에 이르는 시공단계가 반영된 실험순서에 따라 진행되었다. 연구결과로 부터 토피고에 따른 2-Arch 터널 주변지반의 하중전이 메커니즘의 변화와 불연속면 위치에 따른 이완영역의 분포 및 범위의 변화를 확인하였다. 또한 시공단계에 따른 중앙필러의 역학적 거동을 규명하였으며 불연속면 위치가 터널에 근접할수록 중앙필러 작용하중이 증가하는 것을 확인하였다.

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CT시험편의 크기 변화에 따른 파괴저항곡선의 변화 (Variation of the Fracture Resistance Curve with the Change of a Size in the CT Specimen)

  • 석창성;김수용
    • 대한기계학회논문집A
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    • 제24권12호
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    • pp.2963-2971
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    • 2000
  • In order to obtain more realistic fracture resistance curve, research is currently underway to introduce new parameter and to quantify the constraint effect. The objective of this study is to investigate the relationship between the constraint effect of a size(plane size and thickness) and the fracture resistance curve. In this paper fracture toughness tests were performed with various plane size and various thickness of specimens in two materials. The test results showed that the effects of plane size in th4 J-R curve were significant and the curve was risen with an increase in plane size. However, relatively weak influence was observed form the change of the specimen thickness and size. The stress fields near the crack tip of th specimen is close to the HRR field according to increasing the plane size and Q stress appears different value according to material properties and the plane size.

A multiscale method for analysis of heterogeneous thin slabs with irreducible three dimensional microstructures

  • Wang, Dongdong;Fang, Lingming
    • Interaction and multiscale mechanics
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    • 제3권3호
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    • pp.213-234
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    • 2010
  • A multiscale method is presented for analysis of thin slab structures in which the microstructures can not be reduced to two-dimensional plane stress models and thus three dimensional treatment of microstructures is necessary. This method is based on the classical asymptotic expansion multiscale approach but with consideration of the special geometric characteristics of the slab structures. This is achieved via a special form of multiscale asymptotic expansion of displacement field. The expanded three dimensional displacement field only exhibits in-plane periodicity and the thickness dimension is in the global scale. Consequently by employing the multiscale asymptotic expansion approach the global macroscopic structural problem and the local microscopic unit cell problem are rationally set up. It is noted that the unit cell is subjected to the in-plane periodic boundary conditions as well as the traction free conditions on the out of plane surfaces of the unit cell. The variational formulation and finite element implementation of the unit cell problem are discussed in details. Thereafter the in-plane material response is systematically characterized via homogenization analysis of the proposed special unit cell problem for different microstructures and the reasoning of the present method is justified. Moreover the present multiscale analysis procedure is illustrated through a plane stress beam example.

Nonlocal effects on propagation of waves in a generalized thermoelastic solid half space

  • Singh, Baljeet;Bijarnia, Rupender
    • Structural Engineering and Mechanics
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    • 제77권4호
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    • pp.473-479
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    • 2021
  • The propagation of plane waves in a linear, homogeneous and isotropic nonlocal generalized thermoelastic solid medium is considered in the framework of Lord and Shulman generalization. The governing field equations are formulated and specialized in a plane. Plane wave solutions of governing equations show that there exists three plane waves, namely, P, thermal and SV waves which propagate with distinct speeds. Reflection of P and SV waves from thermally insulated or isothermal boundary of a half-space is considered. The relevant boundary conditions are applied at stress free boundary and a non-homogeneous system of three equations in reflection coefficients is obtained. For incidence of both P and SV waves, the expressions for energy ratios of reflected P, thermal and SV waves are also obtained. The speeds and energy ratios of reflected waves are computed for relevant physical constants of a thermoelastic material. The speeds of plane waves are plotted against nonlocal parameter and frequency. The energy ratios of reflected waves are also plotted against the angle of incidence of P wave at a thermally insulated stress-free surface. The effect of nonlocal parameter is shown graphically on the speeds and energy ratios of reflected waves.