• 제목/요약/키워드: Failure criterion

검색결과 694건 처리시간 0.022초

일반화된 Hoek-Brown 파괴조건식에 내포된 전단강도 근사식 (Approximate Shear Strength Formula Implied in the Generalized Hoek-Brown Failure Criterion)

  • 이연규
    • 터널과지하공간
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    • 제28권5호
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    • pp.426-441
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    • 2018
  • 일반화된 Hoek-Brown (GHB) 파괴조건식은 최근 각종 암반공학적 계산에 활발히 이용되고 있지만 Mohr 파괴포락선이 해석적 수식으로 표시되지 않아 적용범위를 넓히는데 어려움이 있다. 이러한 단점을 극복하기 위해 이 연구에서는 GHB 파괴함수에 내포된 수직응력 - 접선마찰각 관계식을 다항식으로 최적 근사시켜 접선마찰각을 수직응력의 명시적 근사함수로 표시하는 새로운 방법을 제안하였다. 이 수직응력 - 접선마찰각 관계식을 직선 또는 2차 다항식으로 최적 근사시킬 경우 접선마찰각에 대한 해석적 해가 존재한다. 이 해를 전단응력 - 접선마찰각 관계식에 대입하면 GHB 파괴함수의 근사적 Mohr 파괴 포락선을 유도하는 것이 가능하다. 유도한 근사 Mohr 파괴포락선은 GSI 값 전체 범위에서 정해와 매우 근사함이 입증되었다.

Multiple cutout optimization in composite plates using evolutionary structural optimization

  • Falzon, Brian G.;Steven, Grant P.;Xie, Mike Y.
    • Structural Engineering and Mechanics
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    • 제5권5호
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    • pp.609-624
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    • 1997
  • The optimization of cutouts in composite plates was investigated by implementing a procedure known as Evolutionary Structural Optimization. Perforations were introduced into a finite element mesh of the plate from which one or more cutouts of a predetermined size were evolved. In the examples presented, plates were rejected from around each evolving cutout based on a predefined rejection criterion. The limiting ply within each plate element around the cutout was determined based on the Tsai-Hill failure criterion. Finite element plates with values below the product of the average Tsai-Hill number and a rejection criterion were subsequently removed. This process was iterated until a steady state was reached and the rejection criterion was then incremented by an evolutionary rate and the above steps repeated until the desired cutout area was achieved. Various plates with differing lay-up and loading parameters were investigated to demonstrate the generality and robustness of this optimization procedure.

정적 광탄성 실험 하이브리드 법에 의한 두 상이한 등방성 이종재료의 계면균열전파 기준에 관한 연구 (A Study on the Interfacial Crack Propagation Criterion for Two Dissimilar Isotropic Bimaterial by the Static Photoelastic Experimental Hybrid Method)

  • 최콘스탄틴;황재석;신동철;남성수;남정환
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1216-1221
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    • 2003
  • The specimen materials used in this research is bimaterial. The static photoelastic experiment was applied to them. And then the specimens used in photoelastic experiment were fractured under static load. The static photoelastic hybrid method was introduced and it's validity had been assured. The static photoelastic hybrid method was applied to the Minimum Strain Energy Density Criterion, the Maximum Tangential Stress Criterion and Mode Mixity. Crack propagation criterion by the static photoelastic hybrid method was introduced and it was applied to the above various failure theories. Comparing the experimental initial angle of crack propagation with the theoretical initial angle of crack propagation from the various failure criterions. And then the optimal crack propagation criterion was suggested and it's validity was assured.

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Progressive failure of symmetric laminates under in-plane shear: Il-Negative shear

  • Singh, S.B.;Kumar, Ashwini;Iyengar, N.G.R.
    • Structural Engineering and Mechanics
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    • 제6권7호
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    • pp.757-772
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    • 1998
  • The objective of the present work is to estimate the strength and failure characteristics of symmetric thin square laminates under negative shear load. Two progressive failure analyses, one using the Hashin criterion and the other using a Tensor polynomial criterion, are used in conjunction with the finite element method. First-order shear-deformation theory along with geometric nonlinearity in the von Karman sense has been incorporated in the finite element modeling. Failure loads, associated maximum transverse displacements, locations and modes of failure including the onset of delamination are discussed in detail; these are found to be quite different from those for the positive sheer load reported in Part I of this study (Singh et al. 1998).

A complement to Hoek-Brown failure criterion for strength prediction in anisotropic rock

  • Bagheripour, Mohammad Hossein;Rahgozar, Reza;Pashnesaz, Hassan;Malekinejad, Mohsen
    • Geomechanics and Engineering
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    • 제3권1호
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    • pp.61-81
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    • 2011
  • In this paper, a complement to the Hoek-Brown criterion is proposed in order to derive the strength of anisotropic rock from strength of the corresponding truly intact rock. The complement is a decay function, which unlike other modifications or suggestions made in the past, is multiplied to the function of the original Hoek-Brown failure criterion for intact rock. This results in a combined and extended form of the criterion which describes the strength of anisotropic rock as a varying fraction of the corresponding truly intact rock strength. Statistical procedures and in particular regression analyses were conducted into data obtained in experiments conducted in the current research program and those collected from the literature in order to define the Hoek-Brown's criterion complement. The complement function was best described by a simple polynomial including only three constants to be empirically evaluated. Further investigations also showed that these constants can be related to the other readily available parameters of rock material which further facilitate determining the constants. A great and prime advantage of the proposed complement is that it is mathematically simple including the least possible number of empirical constants which are easily estimated with minimum experimental effort. Moreover, proposed concept does not suggests any change to the original Hoek-Brown criterion itself or its constants and serves whenever anisotropy does exist in the rock. This further implies on the possibility of using any other failure criterion for intact rock in conjunction with the compliment to reach the strength of anisotropic rock.

파괴변형률모델에 기초한 결함이 존재하는 API X65 배관의 연성파괴 해석 (Ductile Failure Analysis of Defective API X65 Pipes Based on Stress-Modified Fracture Strain Criterion)

  • 오창균;백종현;김영표;김우식;김윤재
    • 대한기계학회논문집A
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    • 제30권9호
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    • pp.1086-1093
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    • 2006
  • A local failure criterion for the API X65 steel is applied to predict ductile failure of full-scale API X65 pipes with simulated corrosion and gouge defects under internal pressure. The local failure criterion is the stress-modified fracture strain for the API X65 steel as a function of the stress triaxiality (defined by the ratio of the hydrostatic stress to the effective stress). Based on detailed FE analyses with the proposed local failure criteria, burst pressures of defective pipes are estimated and compared with experimental data. The predicted burst pressures are in good agreement with experimental data. Noting that an assessment equation against the gouge defect is not yet available, parametric study is performed, from which a simple equation is proposed to predict burst pressure fur API X65 pipes with gouge defects.

Implementation and assessment of advanced failure criteria for composite layered structures in FEMAP

  • Grasso, Amedeo;Nali, Pietro;Cinefra, Maria
    • Advances in aircraft and spacecraft science
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    • 제6권1호
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    • pp.51-67
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    • 2019
  • AMOSC (Automatic Margin Of Safety Calculation) is a SW tool which has been developed to calculate the failure index of layered composite structures by referring to the cutting edge state-of-the-art LaRC05 criterion. The stress field is calculated by a finite element code. AMOSC allows the user to calculate the failure index also by referring to the classical Hoffman criterion (which is commonly applied in the aerospace industry). When developing the code, particular care was devoted to the computational efficiency of the code and to the automatic reporting capability. The tool implemented is an API which has been embedded into Femap Siemens SW custom tools. Then, a user friendly graphical interface has been associated to the API. A number of study-cases have been solved to validate the code and they are illustrated through this work. Moreover, for the same structure, the differences in results produced by passing from Hoffman to LaRC05 criterion have been identified and discussed. A number of additional comparisons have thus been produced between the results obtained by applying the above two criteria. Possible future developments could explore the sensitivity of the failure indexes to a more accurate stress field inputs (e.g. by employing finite elements formulated on the basis of higher order/hierarchical kinematic theories).

강우침투 메커니즘을 이용한 급경사지 붕괴예측 I-D 기준식 제안 (Recommendation of I-D Criterion for Steep-Slope Failure Estimation Considering Rainfall Infiltration Mechanism)

  • 송영갑;김영욱;김동욱
    • 한국지반공학회논문집
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    • 제29권5호
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    • pp.65-74
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    • 2013
  • 본 연구에서는 우리나라에서 발생된 자연재해 및 급경사지 재해 사망자 현황을 분석하고, 급경사지 붕괴사례를 대상으로 강우특성과 기반암 풍화토에 따른 재해 발생빈도를 분석하였다. 또한, 선행연구에서 제시한 급경사지 붕괴 예측 기준을 고찰하여 한계점을 도출하고, 불포화 무한사면 안정이론을 도입하여 급경사지 붕괴예측 기준으로 활용하고자 하였다. 지반의 경사, 수리적-역학적 특성을 고려할 수 있는 불포화 무한사면의 안정이론을 이용하여 안정해석을 수행하였으며, 산정된 안전율에 안전수준을 나타낼 수 있는 경계기준을 제시하여 급경사지 붕괴예측 기준을 제안하였다. 또한 급경사지 붕괴 위험단계에 해당하는 강우량을 Intensity-Duration 기준 수식으로 제시하였다.

매설배관의 경계조건이 파손확률에 미치는 영향 (Effect of Boundary Conditions on Failure Probability of Buried Pipeline)

  • 이억섭;편장식
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.311-316
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    • 2001
  • A failure probability model based on Von-Mises failure criterion and the standard normal probability function is proposed. The effects of varying boundary conditions such as internal fluid pressure, external soil, traffic loads, temperature change and corrosion on failure probability of the buried pipes are systematically investigated. To allow for the uncertainties of the design variables, a reliability analysis technique has been adopted; this also allows calculation of the relative contribution of the random variables and the sensitivity of the failure probability.

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Roof collapse of shallow tunnel in layered Hoek-Brown rock media

  • Yang, X.L.;Li, K.F.
    • Geomechanics and Engineering
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    • 제11권6호
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    • pp.867-877
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    • 2016
  • Collapse shape of tunnel roof in layered Hoek-Brown rock media is investigated within the framework of upper bound theorem. The traditional collapse mechanism for homogeneous stratum is no longer suitable for the present analysis of roof stability, and it would be necessary to propose a curve failure mode to describe the velocity discontinuity surface in layered media. What is discussed in the paper is that the failure mechanism of tunnel roofs, consisting of two different functions, is proposed for layered rock media. Then it is employed to investigate the impending roof failure. Based on the nonlinear Hoek-Brown failure criterion, the collapse volume of roof blocks are derived with the upper bound theorem and variational principle. Numerical calculations and parametric analysis are carried out to illustrate the effects of different parameters on the shape of failure mechanism, which is of overriding significance to the stability analysis of tunnel roof in layered rock media.