• 제목/요약/키워드: localization of deformation

검색결과 74건 처리시간 0.022초

Hoek-Brown 암석에서 발생된 탄성균열의 균질화 (Homogenization of Elastic Cracks in Hoek-Brown Rock)

  • 이연규;전석원
    • 터널과지하공간
    • /
    • 제19권2호
    • /
    • pp.158-166
    • /
    • 2009
  • Hoek-Brown 암석에서 응력에 의해 발생되는 균열의 전파특성을 수치해석적으로 분석하기 위한 기초연구로서 탄성균열의 균질화 기법이 제안되었다. 균열의 개시조건으로 Hoek-Brown 경험식이 이용되었고, 균열의 방향 탐색을 위해 임계면법이 이용되었다. 균열물질과 무결암으로 구성된 대표체적에 대해 체적평균 응력 및 변형률 개념을 적용하여 균열과 신선암의 역학적 특성을 균질화시킴으로써 등가 이방성매질의 구성관계식을 유도하였다. 제안된 균질화모델을 포트란 코드로 작성하여 상업유한요소 코드인 COSMOSM에 이식하였다. 제안된 수치해석모델의 적합성을 검증하기 위하여 2차원 평면변형률조건에서 수치 일축압축시험을 실시하였다. 모델 상하부 가압면의 구속조건을 달리한 2가지 해석모델을 선정하여 구속조건이 일축압축시험편의 변형 및 파단면 형성형태에 미치는 영향이 분석되었다. 균열의 균질화를 고려한 수치 일축압축시험 결과는 실제 실험에서 발생되는 형태와 유사한 변형거동 및 파단면 형성 특성을 잘 나타내었다.

Numerical investigation on the structural behavior of two-way slabs reinforced with low ductility steel

  • Sakka, Zafer;Gilbert, R. Ian
    • Structural Engineering and Mechanics
    • /
    • 제65권3호
    • /
    • pp.223-231
    • /
    • 2018
  • A numerical investigation of the impact of steel ductility on the strength and ductility of two-way corner and edge-supported concrete slabs containing low ductility welded wire fabric is presented. A finite element model was developed for the investigation and the results of a series of concurrent laboratory experiments were used to validate the numerical solution. A parametric investigation was conducted using the numerical model to investigate the various factors that influence the structural behavior at the strength limit state. Different values of steel uniform elongation and ultimate to yield strength ratios were considered. The results are presented and evaluated, with emphasis on the strength, ductility, and failure mode of the slabs. It was found that the ductility of the flexural reinforcement has a significant impact on the ultimate load behavior of two-way corner-supported slabs, particularly when the reinforcement was in the form of cold drawn welded wire fabric. However, the impact of the low ductility WWF has showed to be less prominent in structural slabs with higher levels of structural indeterminacy. The load-deflection curves of corner-supported slabs containing low ductility WWF are brittle, and the slabs have little ability to undergo plastic deformation at peak load.

Al-Li-Cu-Zr합금의 시효에 따른 인장파괴모드변화에 미치는 미세조직의 영향 (The Influence of Microstructures on the Change of Monotonic Tensile Fracture Mode in Al-Li-Cu-Zr Alloy with Ageing)

  • 정동석;이수진;조현기
    • 열처리공학회지
    • /
    • 제9권3호
    • /
    • pp.212-218
    • /
    • 1996
  • To clarify the influence of precipitation microstructure and inclusion on the monotonic tensile fracture behaviors in 2090 alloy aged at $180^{\circ}C$, the detailed measurement of hardness, tensile strength, elongation and the observation of scanning electron micrography, transmision electron micrography have been carried out. The transgranular shear ductile fracture has been observed in specimen quenched after solution treatment at $500^{\circ}C$ for 45min. While the under-aged specimen was fractured in both transgranular shear ductile and intergranular fracture mode, the fracture mode of peak-aged and over-aged alloy was predominantly intergranular fracture. The fracture behavior of each ageing condition was influenced by the change of precipitation microstructural features. In the case of peak-aged and over-aged alloys, the coarse and heterogeneous slip band caused by both shearable nature of the ${\delta}^{\prime}(Al_3Li)$ precipitates and PFZ along the high angle grain boundary aid the localization of deformation, resulting in low energy intergranular fracture. It was also estimated that the fractured T-type intermetallic phases (inclusion) and the equilibrium ${\delta}$(AlLi) phases which were formed at grain boundaries palyed an important role in promoting intergranular fracture mode.

  • PDF

Ti 합금의 고속가공시 밀링특성에 관한 연구 (High Speed Milling of Titanium Alloy)

  • Chen, Ming;Lee, Young-Moon;Yang, Seung-Han;Jang, Seung-Il
    • 한국공작기계학회논문집
    • /
    • 제12권5호
    • /
    • pp.34-39
    • /
    • 2003
  • The paper will present chip formation mechanism and surface integrity generation mechanism based on the systematical experimental tests. Some basic factors such as the end milling cutter tooth number, cutting forces, cutting temperature, cutting vibration the chip status, the surface roughness, the hardness distribution and the metallographic texture of the machined surface layer are involved. The chip formation mechanism is typical thermal plastic shear localization at high cutting speed with less number of shear ribbons and bigger shear angle than that at low speed, which means lack of chip deformation. The high cutting speed with much more cutting teeth will be beneficial to the reduction of cutting forces, enlarge machining stability mot depression of temperature increment anti-fatigability as well as surface roughness. The burrs always exist both at low cutting speed and at high cutting speed. So the deburring process should be arranged for milling titanium alloy in my case.

Investigating spurious cracking in finite element models for concrete fracture

  • Gustavo Luz Xavier da Costa;Carlos Alberto Caldeira Brant;Magno Teixeira Mota;Rodolfo Giacomim Mendes de Andrade;Eduardo de Moraes Rego Fairbairn;Pierre Rossi
    • Computers and Concrete
    • /
    • 제31권2호
    • /
    • pp.151-161
    • /
    • 2023
  • This paper presents an investigation of variables that cause spurious cracking in numerical modeling of concrete fracture. Spurious cracks appear due to the approximate nature of numerical modeling. They overestimate the dissipated energy, leading to divergent results with mesh refinement. This paper is limited to quasi-static loading regime, homogeneous models, cracking as the only nonlinear mode of deformation and cracking only due to tensile loading. Under these conditions, some variables that can be related to spurious cracking are: mesh alignment, ductility, crack band width, structure size, mesh refinement and load increment size. Case studies illustrate the effect of each variable and convergence analyses demonstrate that, after all, load-increment size is the most important variable. Theoretically, a sufficiently small load increment is able to eliminate or at least alleviate the detrimental influence of the other variables. Such load-increment size might be prohibitively small, rendering the simulation unfeasible. Hence, this paper proposes two alternatives. First, it is proposed an algorithm that automatically find such small load increment size automatically, which not necessarily avoid large computations. Then, it is proposed a double simulation technique, in which the crack is forced to propagate through the localization zone.

평면 변형 조건에서 일축 인장력을 받는 금속 재료의 불연속 변위 각에 대한 연구 (A Study on the Angle of Localization of a Metal Specimen under Uniaxial Tension with Plane Strain Condition)

  • 박재균;김미림
    • 한국전산구조공학회논문집
    • /
    • 제24권3호
    • /
    • pp.275-281
    • /
    • 2011
  • 일반적으로 인장 시험에 주로 사용되는 납작한 형태의 금속 재료에 천천히 인장력을 가하고 그 힘을 증가시키면 어느 순간에 루더스 밴드(Luders band)라고 불리는 소성 변형의 띠가 갑자기 발생한다. 이 띠들은 일정 각도를 가지고 평행하게 발생하며, 여러 연구자들에 의해 특정 경계조건에 대하여 이 띠가 발생하는 조건과 그 각도에 대한 많은 연구가 선행되어 왔다. 본 연구에서는 평면 응력 조건에서 이루어진 Thomas(1961)의 연구를 기반으로 하고 $J_2$ 소성 변형 조건, 힘의 평형방정식, 그리고 구성방정식을 이용하여 평면 변형 조건에서 발생하는 밴드의 각도를 해석적으로 유도하였다. 이 결과는 음향텐서를 이용한 기존의 연구 결과와 일치함을 확인하였다.

KHP Main & Nose Wheel 개발을 위한 구조해석 (Structure Analysis of KHP Main & Nose Wheel)

  • 김용환;이세욱;주영찬;지종호;조진수
    • 한국항공우주학회지
    • /
    • 제40권4호
    • /
    • pp.330-335
    • /
    • 2012
  • 본 연구는 KHP(Korean Helicopter Program) main & nose wheel 국산화 개발을 위한 구조해석으로서 상용프로그램인 ANSYS를 사용하여 wheel의 구조적 안정성을 평가하였다. Wheel과 tire의 interface를 고려한 연구로서, Tire의 공기압과 정하중, 반경하중 그리고 복합 하중을 main & nose wheel에 적용하여 응력해석을 수행하였다. 해석결과는 소성변형이 발생하는 항복강도를 고려하여, maximum stress와 항복강도를 비교분석 후 구조적 안정성을 더 높일 수 있는 방안을 제시하였다.

비국부 이론을 이용한 입자 강화 복합재 이중후방응력 소성 구성방정식 모델 및 전단밴드 분석 (Non-Local Plasticity Constitutive Relation for Particulate Composite Material Using Combined Back-Stress Model and Shear Band Formation)

  • 윤수진;김신회;박재범;정규동
    • 대한기계학회논문집A
    • /
    • 제38권10호
    • /
    • pp.1057-1068
    • /
    • 2014
  • 2개의 상으로 구성된 입자 강화 복합재에 대한 균질화와 내부 상태 변수에 대해 2차 미분항이 포함된 비구역적 이론을 적용하여 탄소성 구성 방정식을 제안하였다. 열역학과 소성 포텐셜을 통해 내부 상태 변수에 대한 전개식 또한 본 논문에 포함되었다. 연속체 결함 모델을 이용, 결함 인자에 따른 물성 저하 현상도 감안되었으며 이중 후방응력이 조합된 전개식 또한 제시하였다. 일부 예에 대한 수치해석 결과, 비구역적 변수의 영향이 증가할수록 전단밴드는 감소하나 반면 특정 후방응력 전개가 지배적일수록 소성변형 집중이 증가함이 관찰되었다. 더욱이 두 개의 강소성 상으로 이루어진 복합재의 경우 강성이 높은 게재물의 비중이 증가함에 따라 전단밴드 형성이 용이한 것으로 나타났다. 그 밖에 제어변수들의 변화에 따른 전단밴드 형성에 대한 분석 결과는 Rice 소성 불안정성 분석결과와 잘 일치함 또한 밝혀졌다.

Crack location in beams by data fusion of fractal dimension features of laser-measured operating deflection shapes

  • Bai, R.B.;Song, X.G.;Radzienski, M.;Cao, M.S.;Ostachowicz, W.;Wang, S.S.
    • Smart Structures and Systems
    • /
    • 제13권6호
    • /
    • pp.975-991
    • /
    • 2014
  • The objective of this study is to develop a reliable method for locating cracks in a beam using data fusion of fractal dimension features of operating deflection shapes. The Katz's fractal dimension curve of an operating deflection shape is used as a basic feature of damage. Like most available damage features, the Katz's fractal dimension curve has a notable limitation in characterizing damage: it is unresponsive to damage near the nodes of structural deformation responses, e.g., operating deflection shapes. To address this limitation, data fusion of Katz's fractal dimension curves of various operating deflection shapes is used to create a sophisticated fractal damage feature, the 'overall Katz's fractal dimension curve'. This overall Katz's fractal dimension curve has the distinctive capability of overcoming the nodal effect of operating deflection shapes so that it maximizes responsiveness to damage and reliability of damage localization. The method is applied to the detection of damage in numerical and experimental cases of cantilever beams with single/multiple cracks, with high-resolution operating deflection shapes acquired by a scanning laser vibrometer. Results show that the overall Katz's fractal dimension curve can locate single/multiple cracks in beams with significantly improved accuracy and reliability in comparison to the existing method. Data fusion of fractal dimension features of operating deflection shapes provides a viable strategy for identifying damage in beam-type structures, with robustness against node effects.

Sacral Insufficiency Fractures : How to Classify?

  • Bakker, Gesa;Hattingen, Joerg;Stuetzer, Hartmut;Isenberg, Joerg
    • Journal of Korean Neurosurgical Society
    • /
    • 제61권2호
    • /
    • pp.258-266
    • /
    • 2018
  • Objective : The diagnosis of insufficiency fractures of the sacrum in an elder population increases annually. Fractures show very different morphology. We aimed to classify sacral insufficiency fractures according to the position of cortical break and possible need for intervention. Methods : Between January 1, 2008 and December 31, 2014, all patients with a proven fracture of the sacrum following a low-energy or an even unnoticed trauma were prospectively registered : 117 females and 13 males. All patients had a computer tomography of the pelvic ring, two patients had a magnetic resonance imaging additionally : localization and involvement of the fracture lines into the sacroiliac joint, neural foramina or the spinal canal were identified. Results : Patients were aged between 46 and 98 years (mean, 79.8 years). Seventy-seven patients had an unilateral fracture of the sacral ala, 41 bilateral ala fractures and 12 patients showed a fracture of the sacral corpus : a total of 171 fractures were analyzed. The first group A included fractures of the sacral ala which were assessed to have no or less mechanical importance (n=53) : fractures with no cortical disruption ("bone bruise") (A1; n=2), cortical deformation of the anterior cortical bone (A2; n=4), and fracture of the anterolateral rim of ala (A3; n=47). Complete fractures of the sacral ala (B; n=106) : parallel to the sacroiliac joint (B1; n=63), into the sacroiliac joint (B2; n=19), and involvement of the sacral foramina respectively the spinal canal (B3; n=24). Central fractures involving the sacral corpus (C; n=12) : fracture limited to the corpus or finishing into one ala (C1; n=3), unidirectional including the neural foramina or the spinal canal or both (C2; n=2), and horizontal fractures of the corpus with bilateral sagittal completion (C3; n=8). Sixty-eight fractures proceeded into the sacroiliac joint, 34 fractures showed an injury of foramina or canal. Conclusion : The new classification allowes the differentiation of fractures of less mechanical importance and a risk assessment for possible polymethyl methacrylate leaks during sacroplasty in the direction of the neurological structures. In addition, identification of instable fractures in need for laminectomy and surgical stabilization is possible.