• 제목/요약/키워드: Plane stress field

검색결과 181건 처리시간 0.024초

Reflection and refraction of magneto-thermoelastic plane wave at the pre-stressed liquid-solid interface in generalized thermoelasticity under three theories

  • Kakar, Rajneesh;Kakar, Shikha
    • Earthquakes and Structures
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    • 제9권3호
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    • pp.577-601
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    • 2015
  • The thermomagnetic effect on plane wave propagation at the liquid-solid interface with nonclassical thermoelasticity is investigated. It is assumed that liquid-solid half-space is under initial stress. Numerical computations are performed for the developed amplitude ratios of P, SV and thermal waves under Cattaneo-Lord-Shulman theory, Green-Lindsay theory and classical thermoelasticity. The system of developed equations is solved by the application of the MATLAB software at different angles of incidence for Green and Lindsay model. The effect of initial stress and magnetic field in the lower half-space are discussed and comparison is made in LS, GL and CT models of thermoelasticity. In the absence of magnetic field, the obtained results are in agreement with the same results obtained by the relevant authors. This study would be useful for magneto-thermoelastic acoustic device field.

KI Criteria of Surface Check under Stepwise Loadings of Drying Stresses

  • Park, Jung-Hwan
    • Journal of the Korean Wood Science and Technology
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    • 제27권4호
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    • pp.51-56
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    • 1999
  • Finite element method was utilized to analyze crack tip stress and displacement field under drying stress case as stepwise loading. Opening mode of single-edge-notched model was employed and analyzed by linear elastic fracture mechanics of plane stress case. The drying stresses were applied as stepwise loads at the boundary elements of the model with 10 steps of time serial. The stress intensity factor($K_I$) for opening mode reached to its maximum just prior to the stress reversal. The $K_I$ from the displacement fields revealed 1.7 times higher than those from stress fields. By comparing the two sets of $K_I$ from displacement and stress fields, single parameter $K_I$ showed its validity to characterize displacement fields around the crack tip front while stress field could not be characterized due to large variations between two sets of data.

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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.

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.

1996년 양산단층 일대의 미소지진을 이용한 복합단층면해 (A Composite Fault-plane Solution of Microearthquakes in the Yangsan Fault Area during 1996)

  • 이기화;정태웅
    • 지구물리
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    • 제2권4호
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    • pp.235-240
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    • 1999
  • 1995-96년 양산단층 지역의 한국자원연구소 지진관측망에 기록된 미소지진을 복합단층면해의 방법으로 해석하였다. 양산단층 지역에서는 주향 15 ± 3도에 경사 60 ± 8도, 면선각 140도의 역단층이거나, 북서-남동 방향, 즉 주향 128 ± 3도, 경사 56 ± 8도, 면선각 37도의 역단층으로 분석되었다. 응력의 주압축 방향은 동북동-서남서 방향이고 이 응력에 의해 단층은 역단층 운동이 포함된 주향이동을 이루는 것으로 추정된다. 이 방향은 영월지진을 비롯, 이전 연구에서 구해진 한반도 주변의 응력장 방향과 유사하다.

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변형률 경화를 고려한 오버레이 모델의 재료비선형 수치해석기법 (Numerical Analysis Method of Overlay Model for Material Nonlinearity Considering Strain Hardening)

  • 백기열
    • 한국강구조학회 논문집
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    • 제19권3호
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    • pp.291-301
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    • 2007
  • 재료비선형 수치해석기법 중, 오버레이 모델은 같은 평면상에 여러 개의 레이어를 배치해 각 레이어의 평균한 값을 모델 전체의 값으로 사용하는 원리를 사용하는 모델로서 구성레이어의 변형률 경화계수, 단면적 및 항복응력 등을 파라메타로 설정함으로써 바우싱거 효과 및 변형률 경화현상을 표현하기에 적합한 모델지만, 응력-변형률관계의 기하학적 특징을 직접적으로 근사하기 위한 파라메타의 설정이 복잡하다는 단점이 있다. 본 논문에서는 평면응력상태를 대상으로 하며, 변형률 경화를 고려한 오버레이 모델의 정식화를 열역학을 사용하여 구체적으로 정의한다. 수치해석에 있어 전체적인 해석파라메타로서는 항복응력분포만을 고려하였으며, 항복응력분포의 설정 방법 및 그에 따른 항복응력분포함수의 p, q, r값을 정성적으로 비교분석한다. 최종적으로 탄소강과 합금강에 대한 일축, 다축응력의 실험결과와 제안한 수치해석기법의 해석결과를 비교하여 타당성을 검토한다.

Crack tip plastic zone under Mode I, Mode II and mixed mode (I+II) conditions

  • Ayatollahi, M.R.;Sedighiani, Karo
    • Structural Engineering and Mechanics
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    • 제36권5호
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    • pp.575-598
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    • 2010
  • The shape and size of the plastic zone around the crack tip are analyzed under pure mode I, pure mode II and mixed mode (I+II) loading for small scale yielding and for both plane stress and plane strain conditions. A new analytical formulation is presented to determine the radius of the plastic zone in a non-dimensional form. In particular, the effect of T-stress on the plastic zone around the crack tip is studied. The results of this investigation indicate that the stress field with a T-stress always yields a larger plastic zone than the field without a T-stress. It is found that under predominantly mode I loading, the effect of a negative T-stress on the size of the plastic zone is more dramatic than a positive T-stress. However, when mode II portion of loading is dominating the effect of both positive and negative T-stresses on the size of the plastic zone is almost equal. For validating the analytical results, several finite element analyses were performed. It is shown that the results obtained by the proposed analytical formulation are in very good agreements with those obtained from the finite element analyses.

체적 적분방정식법을 이용한, 다수의 함유체를 포함한 반무한 고체에서의 탄성해석 (Elastic Analysis of a Half-Plane Containing Multiple Inclusions Using Volume Integral Equation Method)

  • 이정기;구덕영
    • 대한기계학회논문집A
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    • 제32권2호
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    • pp.148-161
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    • 2008
  • A volume integral equation method (VIEM) is used to calculate the plane elastostatic field in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions subject to remote loading. A detailed analysis of stress field at the interface between the matrix and the central inclusion in the first column of square packing is carried out for different values of the distance between the center of the central inclusion in the first column of square packing of inclusions and the traction-free surface boundary in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions. The method is shown to be very accurate and effective for investigating the local stresses in an isotropic elastic half-plane containing multiple isotropic or anisotropic inclusions.

비대칭분류의 노즐출구영역에서의 난류유동장 해석 (The Near Field Structure of Initially Asymmetic Jets)

  • 김경훈;신정관;이한영
    • 한국분무공학회지
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    • 제4권4호
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    • pp.38-45
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    • 1999
  • The near field structure of round turbulent jets with initially asymmetric velocity distribution is investigated experimentally. Experiments were carried out using a constant temperature hot-wire anemometry system to measure streamwise velocity in the jets. The measurements were undertaken across the jet at various streamwise stations in a range starting from the jet exit plane and up to a downstream location of twelve diameters. The experimental results include the distribution of mean and instantaneous velocities, vorticity field, turbulence intensity, and the Reynolds shear stress. The asymmetry of the jet exit plane was obtained by using circular cross-section pipes with a bend at the upstream of the exit. Three pipes were used for this study: A straight pipe, 90 and 160 degree-bended pipes. Therefore, at the upstream of the pipe exit, the secondary flow through the bend and the mean streamwise velocity distribution could be controlled by changing the curvature of pipes.

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Modelling of magneto-thermoelastic plane waves at the interface of two prestressed solid half-spaces without energy dissipation

  • Kakar, Rajneesh;Kakar, Shikha
    • Earthquakes and Structures
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    • 제8권6호
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    • pp.1299-1323
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    • 2015
  • A model for reflection and refraction of magneto-thermoelastic SV-waves at the interface of two transversely isotropic and homogeneous solid half spaces under initial stress by applying classical dynamical theory of thermoelasticity is purposed. The reflection and refraction coefficients of SV-waves are obtained with ideal boundary conditions for SV-wave incident on the solid-solid interface. The effects of magnetic field, temperature and initial stress on the amplitude ratios after numerical computations are shown graphically with MATLAB software for the particular model.