• 제목/요약/키워드: Analytical Stress Analysis

검색결과 884건 처리시간 0.03초

Analytical solution for undrained plane strain expansion of a cylindrical cavity in modified cam clay

  • Silvestri, Vincenzo;Abou-Samra, Ghassan
    • Geomechanics and Engineering
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    • 제4권1호
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    • pp.19-37
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    • 2012
  • This paper presents the results of analytical and numerical analyses of the effects of performing a pressuremeter test or driving a pile in clay. The geometry of the problem has been simplified by the assumptions of plane strain and axial symmetry. Pressuremeter testing or installation of driven piles has been modelled as an undrained expansion of a cylindrical cavity. Stresses, pore water pressures, and deformations are found by assuming that the clay behaves like normally consolidated modified Cam clay. Closed-form solutions are obtained which allow the determination of the principal effective stresses and the strains around the cavity. The analysis which indicates that the intermediate principal stress at critical state is not equal to the mean of the other two principal stresses, except when the clay is initially isotropically consolidated, also permits finding the limit expansion and excess pore water pressures by means of the Almansi finite strain approach. Results are compared with published data which were determined using finite element and finite difference methods.

Reliability computation technique for ball bearing under the stress-strength model

  • Nayak, S.;Seal, B.
    • International Journal of Reliability and Applications
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    • 제17권1호
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    • pp.51-63
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    • 2016
  • Stress function of ball bearing is function of multiple stochastic factors and this system is so complex that analytical expression for reliability is difficult to obtain. To address this pressing problem, in this article, we have made an attempt to approximate system reliability of this important item based on reliability bounds under the stress strength setup. This article also provides level of error of this item. Numerical analysis has been adopted to show the closeness between the upper and lower bounds of this item.

Double Cantilever Beam 방법을 이용한 다결정 알루미나의 Bridging 응력효과 해석 (Analysis of Bridging Stress Effect of Polycrystalline aluminas Using Double Cantilever Beam Method)

  • 손기선;이선학;백성기
    • 한국세라믹학회지
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    • 제33권5호
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    • pp.583-589
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    • 1996
  • In this study a new analytical model which can describe the relationship between the bridging stress and microstructure has beenproposed in order to investigate the microstructural effect on the R-curve behavior in polycrystalline aluminas since the R-curve can be derived via the bridging stress function. In the currently developed model function the distribution of grain size is considered as a microstructural factor in modeling of bridging stress function and thus the bridging stress function including three constants PM, n, and Cx, can be established analytically and quantitatively. The results indicate that the n value is closely related to the grain size distribution thereby providing a reliability of the current model for the bridging stress analysis. Thus this model which explains the correlation of the bridging stress distribution and microstructual parame-ters is useful for the systematic interpretation of microfracture mechanism including the R-curve behavior in polycrystalline aluminas.

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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.

탄소강의 퀜칭처리 과정에서 변형율이력을 고려한 탄소성열응력의 유한요소 해석(II) - 탄점소성 열응력 해석 - (An Finite Element Analysis for Elasto-Plastic Thermal Stresses Considerating Strain Hysteresis at Quenching Process of Carbon Steel(II) - Analysis of elasto-viscoplastic thermal stress -)

  • 김옥삼;구본권
    • 열처리공학회지
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    • 제9권2호
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    • pp.147-158
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    • 1996
  • Generally, analytical consideration on the behaviour of metallic structures during quenching process, and analysis on the thermal stress and deformation after heat treatment are very important in presumption of crack and distorsion of quenched material. In this study a set of constitute equations relevant to the analysis of thermo elasto-viscoplastic materials with strain hysteresis during quenching process way presented on the basis of contimuum thermo-dynamics mechanics. The thermal stresses were numerically calculated by finite element technique of weighted residual method and the principle of virtual work. In the calculation process, the temperature depandency of physical and mechaniclal properties of the material in consideration. On the distribution of elasto-viscoplastic thermal stresses according to radial direction, axial and tangential stress are tensile stress(50MPa, 1.5GPa and 300MPa) in surface and compressive stress(-1.2GPa, -1.14GPa and -750MPa) in the inner part on the other hand, radial stress is tensile stress(900MPa) in area of analysis. According to axial direction, tangential stress gradients are average 60MPa/mm on the whole. The reversion of stress takes place at 11.5 to 16.8mm from the center in area of analysing.

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검도 머리치기 동작의 인체 근골격 모델개발 및 응력해석 (Development on Human Muscle Skeletal Model and Stress Analysis of Kumdo Head Hitting Motion)

  • 이중현;이세훈;이영신
    • 한국정밀공학회지
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    • 제24권11호
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    • pp.116-125
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    • 2007
  • Human muscle skeletal model was developed for biomechanical study. The human model was consists with 19 bone-skeleton and 122 muscles. Muscle number of upper limb, trunk and lower limb part are 28, 60, 34 respectively. Bone was modeled with 3D beam element and muscle was modeled with spar element. For upper limb muscle modelling, rectus abdominis, trapezius, deltoideus, biceps brachii, triceps brachii muscle and other main muscles were considered. Lower limb muscle was modeled with gastrocenemius, gluteus maximus, gluteus medius and related muscles. The biomechanical stress and strain analysis of human was conducted by proposed finite element analysis model under Kumdo head hitting motion. In this study structural analysis has been performed in order to investigate the human body impact by Kumdo head hitting motion. As the results, the analytical displacement, stress and strain of human body are presented.

Efficient elastic stress analysis method for piping system with wall-thinning and reinforcement

  • Kim, Ji-Su;Jang, Je-Hoon;Kim, Yun-Jae
    • Nuclear Engineering and Technology
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    • 제54권2호
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    • pp.732-740
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    • 2022
  • A piping system stress analysis need to be re-performed for structural integrity assessment after reinforcement of a pipe with significant wall thinning. For efficient stress analysis, a one-dimensional beam element for the wall-thinned pipe with reinforcement needs to be developed. To develop the beam element, this work presents analytical equations for elastic stiffness of the wall-thinned pipe with reinforcement are analytically derived for axial tension, bending and torsion. Comparison with finite element (FE) analysis results using detailed three-dimensional solid models for wall-thinned pipe with reinforcement shows good agreement. Implementation of the proposed solutions into commercial FE programs is explained.

강박스 거더교 콘크리트 바닥판에 발생하는 크리프, 건조수축, 수화열에 관한 연구 (A Study on Creep, Drying Shrinkage, Hydration Heat Produced in Concrete Floor Plate of Steel Box Girdler Bridge)

  • 강성후;박선준;김민성
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2003년도 봄 학술발표회 논문집
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    • pp.457-462
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    • 2003
  • It studies the non-structural crack factors that are produced in Steel Box Girder Bridge concrete floor plate using analytical method. It mainly studies humidity and design standard of concrete strength. It used MIDAS CIVIL Ver 5.4.0, a general structure analysis program that applies drying shrinkage rate of domestic road bridge design standard and standard value of creep coefficient, CEF-FIP standard equation and ACI standard equation from the aspect of creep, drying shrinkage and hydration heat to see the effect of the two factors on concrete crack and found the following result. The analytical results of this study showed that the initial stress, which was obtained by ACI standard, exceeds the allowable tensile stress between 5 to 18 days. This result means that even if a bridge is designed and constructed according to design standard, the bridge can have cracks due to various variables such as drying shrinkage, hydration heat and creep that produce stress in slab.

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Two rectangular elements based on analytical functions

  • Rezaiee-Pajand, Mohammad;Karimipour, Arash
    • Advances in Computational Design
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    • 제5권2호
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    • pp.147-175
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    • 2020
  • To achieve appropriate stresses, two new rectangular elements are presented in this study. For reaching this aim, a complementary energy functional is used within an element for the analysis of plane problems. In this energy form, the Airy stress function will be used as a functional variable. Besides, some basic analytical solutions are found for the stress functions. These trial functions are matched with each element number of degrees of freedom, which leads to a number of equations with the anonymous constants. Subsequently, according to the principle of minimum complementary energy, the unknown constants can be expressed in terms of displacements. This system can be rewritten in terms of the nodal displacement. In this way, two new hybrid-rectangular triangular elements are formulated, which have 16 and 40 degrees of freedom. To validate the outcomes, extensive numerical studies are performed. All findings clearly demonstrate accuracies of structural displacements, as well as, stresses.

복합재 성형후 열잔류응력에 의한 변형 연구 (Prediction of Spring-in Deformation of Carbon Fiber Reinforced Composite by Thermal Residual Stress)

  • 김용승;김위대
    • Composites Research
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    • 제30권6호
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    • pp.410-415
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    • 2017
  • 본 연구에서는 탄소섬유강화 복합재의 제작 시 열 잔류응력으로 인한 변형을 유한요소 프로그램 ABAQUS에서 User Subroutine을 이용한 유한요소 해석을 통해 예측한다. 탄소섬유강화 복합재의 변형에 영향을 주는 다양한 요인 중 온도구배, 제품 형상, 적층각 및 적층순서, 수지의 화학수축, 열 잔류응력을 고려한 복합재 성형을 해석하였다. 같은 형상의 실제 모델과 해석 모델의 결과를 비교한다. 또한 해석 결과를 분석하여 실제 제작의 오차에 적용하여 실제 제작에서의 성형 완성도를 높이는데 목적이 있다.