• Title/Summary/Keyword: 응력의 중첩

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Local Response Recovery for Multilayered Composite Panels using Mesh Superposition (유한요소격자중첩을 이용한 복합재료평판의 변위 및 응력의 복원)

  • 박진우;김용협
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.89-92
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    • 2000
  • In this paper, an effective procedure is presented for the local recovery of displacements and stresses in multilayered composite panels, which incorporate the local refinement using mesh superposition. The mesh superposition method is used to refine the global coarse mesh by superimposing refined mesh to the localized zone of interest without transition zones. The finite element model used is a solid element based on the Hellinger-Reissner variational principle. The a posteriori computation of the through-the-thickness distributions of displacements and stresses is achieved using a predictor-corrector procedure. The procedure utilizes the superconvergent stresses and nodal displacements of the finite element patch. The element patch is generated by locally superimposing a refined local mesh to the coarse global mesh.

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極小 Energy 定理와 그 應용 (I)

  • 양원호
    • Journal of the KSME
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    • v.20 no.3
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    • pp.211-217
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    • 1980
  • 탄성학문제의 엄밀해는 응력의 평형방정식과 변형의 적합조건식 또는 이들을 조합한 탄성의 기 초방정식을 만족하며, 주어진 경계조건을 만족하는 해를 구해야 하겠지만, 문제에 따라서는 그 엄밀해를 구하기가 곤란하거나 또는 아주 복잡하므로 엄밀해에 가까운 근사해를 구하는 것이 편리할 때가 있다. 본강좌에서는 극소 energy 정리와 ritz의 근사계산법을 결합하여 탄성문제의 근사해를 구하는 방법을 설명하고자 한다. 강좌의 처음에는 삼차원에서의 변형 energy와 외력의 일(work)을 유도하고, 이들 사이의 관계로부터 일반국소 energy 정리를 정의한 다음 이 정리가 실제문제에 어떻게 응용될 수 있는가를 보이는 응용예를 주로하여 진행해 보려한다. 이때의 응 용예로 서는 재료역학에서 이미 눈에 익은 기초적 문제를 주로 다루어 보려한다. 재료역학에서의 탄성문제의 해는 정정인 문제와 불정정인 문제를 따로 분류하며, 불정정인 문제의 해는 정역학의 평형방정식과 변형의 적합방정식을 연립으로 하여 해결하든가, 중첩법을 적용하므로서 일반적 으로 상당히 복잡한 해가 되는 것이 보통인데, 본강좌에서 기술하는 방법은 정정 불정정의 문 제를 구별할 필요가 없이 같은 방법이 적용되며 어떤 면에서는 불정정의 문제가 정정의 문제보다 그 해가 간편히 구해질 수 있다는 장점이 있는 것이다.

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The study of fatigue crack propagation behavior in the welding residual stress field by superposition method (종첩법에 의한 용접잔류응력장에서의 피로크랙전파거동의 고찰)

  • Song, Sam-Hong;Kim, Hyun;Bae, Joon-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.11 no.4
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    • pp.47-57
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    • 1994
  • This study investigates the crack propagation behavior to examine the effect of welding residual stress by the superposition method. Especially, as the crack propagation behavior is affected by the applied stress and the stress ratio in compressive residual stress filed, it is studied for three cases as follows; (1) $K_{min}$is smaller than l $K_{r}$l, (2) $K_{min}$ is smaller than l $K_{r}$l in the later stage, (3) $K_{min}$is lager than l $K_{r}$l. The resuslts show that the superposition method is very useful in all the three cases of compressive residual stress field, but is inappropriate in predicting the crack propagation behavior in tensile residual stress field.field.field.

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Study on the Degradaion Behavior of Acrylonitrile Rubber(NBR) O-ring by Intermittent CSR and Time-Temperature Superposition Principle (간헐 압축응력완화 시험법과 시간-온도 중첩 이론을 이용한 NBR 오링의 노화 거동 분석 연구)

  • Lee, Jin Hyok;Bae, Jong Woo;Choi, Myung Chan;Yun, Yu Mi;Kim, Wonho;Park, Sung Han;Jo, Nam-Ju
    • Journal of the Korean Society of Propulsion Engineers
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    • v.23 no.1
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    • pp.46-51
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    • 2019
  • Intermittent CSR testing was used to investigate the degradation of a NBR O-ring, and also the prediction of its life-time. An intermittent CSR jig was designed taking into consideration the O-ring's environment under use. Degradation of O-rings by thermal aging was observed between $40^{\circ}C$ and $120^{\circ}C$. O-rings showed non-linear degradation behavior under $80^{\circ}C$. At 20% of failure condition, predicted life-times were 32.5 years by Arrhenius plot and 22.6 years by WLF plot.

Effect of Overlap Design on the Impact Characteristics of Piecewise Integrated Composite Plates (구간 조합 복합재료 판의 충격 특성에 미치는 겹침부 설계에 관한 연구)

  • Hui-Yun Hwang;Monem Moktadir;Asif Istiak
    • Composites Research
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    • v.36 no.1
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    • pp.25-31
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    • 2023
  • Composite structures have been designed by stacking the laminae with different stacking angles to meet the required mechanical performance. Although the induced stresses on the composite structures under the external loads usually differ depending on the location, we determined the stacking sequence based on the maximum stress, which leads to low efficiency and generally is not the optimum design. Recently, piecewise integrated composites (PICs) were suggested for solving this inefficiency. PICs assume the perfect bonding between adjacent pieces, but this is ideal and hard to accomplish. Therefore, the overlap at the boundary is essential to prevent separation from each other. In this study, we investigated the effect of the overlap design on the impact failure mode of PIC plates. We fabricated the sample composite plates with different overlap designs using the fast curing carbon prepreg and conducted the impact tests according to ASTM D 7136. We found that PICs had different failure modes according to the overlap design, which lead the changes of absorbed impact energies as well as impact load curves.

A study on the characteristics of tunnel deformation and support system according to tunnel portal reinforcement method (터널 갱구부 보강방법에 따른 터널 변형 및 지보재 응력특성에 관한 연구)

  • Moon, Kyoung-Sun;Seo, Yoon-Sic;Kang, Si-On;Kim, Sang-Hwan
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.20 no.3
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    • pp.625-639
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    • 2018
  • This study is about the reinforcing type of reinforcement method which is reinforced in tunnel portal of tunnel with bad ground condition. Generally, it is known that the horizontal reinforcement method is more effective than the conventional reinforcement method. However, as a limitation of the tunnel construction technology, it is being constructed by the superposition reinforcement method. In recent years, high-strength large-diameter steel pipes and horizontally oriented longitudes (L = 30.0~50.0 m) construction technology have been developed. Therefore, it is required to study reinforcement method of tunnel portal reinforcement method. Therefore, 3-D numerical analysis (Midas GTS NX 3D) was performed by setting the reinforcement method (No reinforcement type, overlap reinforcement type and horizontal reinforcement type) and ground condition as parameters. As a result, it was considered that the reinforcement effect was the largest as the horizontal reinforcement type of the reinforcement method was the smallest in the displacement and the support material stress. Based on the results of the numerical analysis, horizontal steel pipe grouting was applied to the actual tunnel site. The displacement of the tunnel portal and the stress of the support material occurred within the allowable values and were considered to ensure sufficient stability.

Analytical Study on Distribution of Stresses Induced in Soil Beam (지반보의 응력분포에 관한 해석적 연구)

  • Lee, Seung-Hyun;Kim, Eung-Seok
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.7
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    • pp.5009-5014
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    • 2015
  • Hydraulic uplift which is caused by the action of pore water pressure can be occurred in clay underlain by granular soil during conducting narrow excavation. Estimation of hydraulic uplift is done by considering soil beam. In order to execute more precise estimation of hydraulic uplift, determination of stress distribution in soil beam is necessary. This study presents stress distribution and displacement distribution in the soil beam based on the theory of elasticity. Stress distribution developed in the soil beam by self weight was derived using stress function depicted by $5^{th}$ order of polynomial and it was seen that vertical stresses along the depth of the soil beam show parabolic distribution and those directions be downward. Regarding soil beam which has the weight of $16kN/m^3, thickness and depth are 1m respectively, maximum vertical stress was about 1.7kPa. Stress distribution by the aciton of pore water pressure was derived via superposition of the stresses corresponding to the self weight and it can be seen that vertical compressive stresses act along the depth of the soil beam when the magnitude of pore water pressure equal to 5 times of the self weight is considered. Equations for prediction of the displacements in the soil beam are also presented.

Optimization of Position of Lightening Hole in 2D Structures through MLS basede Overset Metheod along with Genetic Algorithm (이동최소자승 중첩 격자 기법과 유전자 알고리듬을 이용한 2차원 구조물의 경감공 위치 최적 설계)

  • Oh, Min-Hwan;Woo, Dong-Ju;Cho, Jin-Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.10
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    • pp.979-987
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    • 2008
  • In aerospace structural design, the position of lightening hole is often required to be optimized from the initial design in order to avoid an excessive stress concentration. To remodel the updated configuration in optimization procedure, re-meshing procedure is conventionally adopted. However, this approach is time-consuming, and has limitations especially in handling hexahedral or quadrilateral meshes, which are preferred because of their good numerical performances. To attenuate these disadvantages, new optimization scheme is proposed by combining the MLS(Moving Least Squares) based overset method and the genetic algorithm in this work. To test the validity of the proposed optimization scheme, optimizations of positions of lightening holes in 2D structures have been carried out.

A Study on the Group Effect of the Inclined Ground Anchor (경사 지반앵커의 군효과에 대한 연구)

  • 임종철;홍석우
    • Geotechnical Engineering
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    • v.10 no.4
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    • pp.39-52
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    • 1994
  • The group effect of inclined ground anchor should be considered in design, but it has been hardly studied due to the difficulties of experimental or theoretical study. In this study, the model tests for the inclined ground anchors are made, and the displacements and strain fields of ground around anchor surface are analysed. As the results of this study, the group effect of the inclined ground anchor in air dried sand ground does not show even though two anchor surfaces are very close(10.7cm, surface to surface). That is to say, ,in the case that the final failure surface by pullout of anchor shows on the anchor surface, the pullout resistances of single anchors are almost same as those of the group anchors in these model tests.

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Stress Intensity Factor Analysis System for 3D Cracks Using Fuzzy Mesh (퍼지메쉬를 이용한 3차원 균열에 대한 응력확대계수 해석 시스템)

  • Lee, Joon-Seong;Lee, Eun-Chul;Choi, Yoon-Jong;Lee, Yang-Chang
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.1
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    • pp.122-126
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    • 2008
  • Integrating a 3D solid modeler with a general purpose FEM code, an automatic stress intensity factor analysis system of the 3D crack problems has been developed. A geometry model, i.e. a solid containing one or several 3D cracks is defined. Several distributions of local node density are chosen, and then automatically superposed on one another over the geometry model by using the fuzzy knowledge processing. Nodes are generated and quadratic tetrahedral solid elements are generated by the Delaunay triangulation techniques. Finally, the complete finite element(FE) model generated, and a stress analysis is performed. This paper describes the methodologies to realize such functions, and demonstrates the validity of the present system.