• 제목/요약/키워드: Complex stress

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일반 형상의 커프스형 강체균열에 대한 열응력세기계수 결정 (Determination of thermal Stress Intensity Factors for General Cusp-Crack Shaped Rigid Inclusion)

  • 이강용;장용훈
    • 대한기계학회논문집
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    • 제16권6호
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    • pp.1216-1220
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    • 1992
  • 본 연구에서는 Lee등의 연구를 일반화하기 위하여 급수 형태의 등각사상함수 로 표현되는 일반형태의 커스프형 강체함유물이 존재하는 경우에 대하여 복소 포텐셜 함수와 TSIF에 대한 일반해를 구하기로 한다.

등각사상 맵핑 및 광탄성 실험법에 의한 원형구명 주위의 하이브리드 응력장 해석 (Hybrid Full-field Stress Analysis around a Circular Hole in a Tensile Loaded Plate using Conformal Mapping and Photoelastic Experiment)

  • 백태현;김명수;이주훈
    • 대한기계학회논문집A
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    • 제23권6호
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    • pp.988-1000
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    • 1999
  • An experimental study is presented for the effect of number of terms of a pewee series type stress function on stress analysis around a hole in tensile loaded plate. The hybrid method coupling photoelastsic data inputs and complex variable formulations involving conformal mappings and analytical continuity is used to calculate tangential stress on the boundary of the hole in uniaxially loaded, finite width tensile plate. In order to measure isochromatic data accurately, actual photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. For qualitative comparison, actual fringes are compared with calculated ones. For quantitative comparison, percentage errors and standard deviations with respect to percentage errors are caculated for all measured points by changing the number of terms of stress function. The experimental results indicate that stress concentration factors analyzed by the hybrid method are accurate within three percent compared with ones obtained by theoretical and finite element analysis.

Influences of seepage force and out-of-plane stress on cavity contracting and tunnel opening

  • Zou, Jin-Feng;Chen, Kai-Fu;Pan, Qiu-Jing
    • Geomechanics and Engineering
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    • 제13권6호
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    • pp.907-928
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    • 2017
  • The effects of seepage force and out-of-plane stress on cavity contracting and tunnel opening was investigated in this study. The generalized Hoek-Brown (H-B) failure criterion and non-associated flow rule were adopted. Because of the complex solution of pore pressure in an arbitrary direction, only the pore pressure through the radial direction was assumed in this paper. In order to investigate the effect of out-of-plane stress and seepage force on the cavity contraction and circular tunnel opening, three cases of the out-of-plane stress being the minor, intermediate, or major principal stress are assumed separately. A method of plane strain problem is adopted to obtain the stress and strain for cavity contracting and circular tunnel opening for three cases, respectively, that incorporated the effects of seepage force. The proposed solutions were validated by the published results and the correction is verified. Several cases were analyzed, and parameter studies were conducted to highlight the effects of seepage force, H-B constants, and out-of-plane stress on stress, displacement, and plastic radius with the numerical method. The proposed method may be used to address the complex problems of cavity contraction and tunnel opening in rock mass.

등색프린지 데이터를 이용한 인장하중 판재 중앙 균열선단 주위의 하이브리드 광탄성 응력장 해석 (Hybrid Photoelastic Stress Analysis Around a Central Crack Tip in a Tensile Loaded Plate Using Isochromatic Data)

  • 백태현;첸레이
    • 대한기계학회논문집A
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    • 제31권12호
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    • pp.1200-1207
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    • 2007
  • An experimental test is presented for photoelastic stress analysis around a crack tip in tensile loaded plate. The hybrid method coupling photoelastsic fringe inputs calculated by finite element method and complex variable formulations involving conformal mappings and analytical continuity is used to calculate full-field stress around the crack tip in uniaxially loaded, finite width tensile plate. In order to accurately compare calculated fringes with experimental ones, both actual and regenerated photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. Regenerated fringes by hybrid method are quite comparable to actual fringes. The experimental results indicate that Mode I stress intensity factor analyzed by the hybrid method are accurate within three percent compared with ones obtained by empirical equation and finite element analysis.

복합응력장 하의 균열부재에 대한 잔류피로수명 평가방법 (Residual fatigue life evaluation method for the cracked components under complex stress fields)

  • 조창희;김상태;권재도
    • 대한기계학회논문집A
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    • 제22권2호
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    • pp.258-267
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    • 1998
  • This study reviews the influence function method(IFM) for calculating stress intensity factors (SIFs, K) and modifies it to apply for the estimating the residual fatigue life for the cracked components under complex stress fields. An IFM has been developed to analyze SIFs for surface cracks which are subjectedto nonuniformly distributed stresses. Through elastic superposition, the influence function method properly accounts for redistribution of stress as the crack grows through the component. This influence function is unique to the given geometry and independent of the loading. Some examples have been provided to show the effectiveness of the IFM including the distributions of K in a residual stress field. The significant effect of residual stress upon fatigue crack growth in a welded component has been demonstrated with the IFM.

주기적(週期的) 반복하중(反復荷重)을 받는 벼의 복소(複素)컴프라이언스 (Complex Compliance of Rough Rice Kernel under Cyclic Loading)

  • 김만수;라우정;박종민
    • Journal of Biosystems Engineering
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    • 제17권1호
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    • pp.79-90
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    • 1992
  • Viscoelastic characteristics of agricultural products may be determined through three basic tests ; stress relaxation, creep, and dynamic test. Considering the changeability of living materials, dynamic test in which information is derived in a relatively short time appears to be highly desirable, in which either cyclic stress or cyclic strain is imposed and the remaining quantity (strain or stress) is measured. The periodically varying stress will also result in periodically varying strain which in a viscoelastic material should theoretically be out of phase with the stress, because part of the energy subjected to sample is stored in the material as potential energy and part is dissipated as heat. This behavior results in a complex frequency-dependent compliance denoted by J($i{\omega}$). The complex compliance and therefore the storage compliance, the loss compliance, the phase angle, and percent energy loss for the sample should be obtainable with a given static viscoelastic property of the material under static load. The complex compliance of the rough rice kernel were computed from the Burger's model describing creep behavior of the material which were obtained in the previous study. Also, the effects of cyclic load and moisture content of grain on the dynamic viscoelastic behavior of the samples were analyized. The results obtained from this study were summarized as follows ; 1. The storage compliance of the rough rice kernel slightly decreased with the frequency applied but at above the frequency of 0.1 Hz it was nearly constant with the frequency, and the loss compliance of the sample very rapidly decreased with increase in the frequency on those frequency ranges. 2. It was shown that the storage compliance and the loss compliance of the sample increased with increase in grain moisture content. Effect of grain moisture content on the storage compliance of the sample was highly significant than effect of the frequency applied, but effect of the frequency on the loss compliance of the sample was more significant than effect of grain moisture content. 3. In low moisture content, the percent energy loss of Japonica-type rough rice was much higher than that of Indica-type rough rice, but, in high moisture content, vice versa.

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각종의 HEAD GEAR를 사용한 정형력이 두개안면 골에 미치는 영향에 대한 광탄성적 연구 (A PHOTOELASTIC ANALYSIS OF THE EFFECT OF ORTHOPEDIC FORCES ON THE CRANIOFACIAL COMPLEX UTILIZING THE THREE KINDS OF THE HEAD GEAR)

  • 김광호
    • 대한치과교정학회지
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    • 제16권1호
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    • pp.71-84
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    • 1986
  • The purpose of this study was to analyze the effect of orthopedic forces on the craniofacial complex utilizing the three kinds of the head gear. (high pull head gear, straight pull head gear, cervical pull head gear) For this study, the teeth and alveolar bone and palate were reproduced from birefringent materials and other parts of craniofacial complex were coated with birefringent material on the model. The effect of orthopedic forces on the craniofacial complex was analyzed by photoelastic method using transmission polariscope and reflection polariscope. The results were as follows. 1. The cervical pull head gear had the greatest tipping effect on the maxillary molars and high pull head gear had the least tipping effect. 2. In areas stressed, the cervical pull head gear stressed the greatest degree. 3. Only cervical pull head gear produced stress at the zygomaticofrontal suture and the posterior region of palate. 4. The straight pull head gear and high pull head gear produced stress at just inferior to the anterior nasal spine. 5. The cervical pull head gear and straight pull head gear produced tensile stress at the fronto-maxillary suture. 6. The pterygoid plates of the sphenoid bone, the zygomatic arches, the junction of the maxilla with the lacrimal and ethmoid bone, and the maxillary molars were affected by three types of head gear.

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Prediction of crack trajectory by the boundary element method

  • Bush, M.B.
    • Structural Engineering and Mechanics
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    • 제7권6호
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    • pp.575-588
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    • 1999
  • A boundary element method is applied to the analysis of crack trajectory in materials with complex microstructure, such as discontinuously reinforced composite materials, and systems subjected to complex loading, such as indentation. The path followed by the crack(s) has non-trivial geometry. A study of the stress intensity factors and fracture toughness of such systems must therefore be accompanied by an analysis of crack trajectory. The simulation is achieved using a dual boundary integral method in planar problems, and a single boundary integral method coupled with substructuring in axisymmetric problems. The direction of crack propagation is determined using the maximum mechanical energy release rate criterion. The method is demonstrated by application to (i) a composite material composed of components having the elastic properties of aluminium (matrix) and silicon carbide (reinforcement), and (ii) analysis of contact damage induced by the action of an indenter on brittle materials. The chief advantage of the method is the ease with which problems having complex geometry or loading (giving rise to complex crack trajectories) can be treated.

A Novel ZCS High Frequency Inverter in Complex Resonance Applied for Reduction of PM

  • Kubota, Sachio;Hatanaka, Yoshihiro
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 1998년도 Proceedings ICPE 98 1998 International Conference on Power Electronics
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    • pp.1036-1041
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    • 1998
  • A novel ZCS high frequency inverter in complex resonance applied for reduction of PM is developed. This inverter is suppressed the switching stress by using complex resonance. The stable operation is realized by ZCS using overlapping commutation phenomenon. The ZCS characteristics are investigated based on numerical analysis and experimental results.

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An Alternative Complex Variable Method in Plane Elasticity

  • Yun, Beong In
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제1권1호
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    • pp.65-74
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    • 1997
  • For two dimensional elasticity, we suggest a new complex variable method using the Navier's displacement equation. This method gives alternative displacement and stress formulae to those resulting from the Muskhelishvili's complex function method.

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