• 제목/요약/키워드: Strain-softening effect

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DSC를 이용한 토목섬유가 포함된 경계면의 변형율 연화 모델 개발 (Development of Strain-softening Model for Geosynthetic-involved Interface Using Disturbed State Concept)

  • Woo, Seo-Min;Park, Jun-Boum;Park, Inn-Joon
    • 한국지반공학회논문집
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    • 제19권5호
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    • pp.223-232
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    • 2003
  • 본 연구에서는 DSC를 이용한 구성방정식을 이용하여 토목섬유 사이의 접촉전단 응력과 변위와의 관계를 모델링하였다. DSC 모델은 두 개의 기준 상태, 즉 상대적으로 손상되지 않은 RI 상태와 완전히 파괴된 FA 상태와 한가지의 교란 함수로 구성된다. 본 모델은 통합된 모델로서, RI 상태를 탄성-완전 소성 모델, 계층적 단일 항복곡면 (HiSS) 모델 등 다양한 모델을 이용하여 모사할 수 있다. 한편 본 모델은 탄성과 소성 변위를 동시에 고려할 수 있다는 장점을 가지고 있다. 4가지의 대형 직접전단 시험으로부터 측정된 자료와 측정자료로부터 도출된 모델 변수를 이용하여 재해석한 결과를 서로 비교하여, 둘 사이의 비교 결과가 상당히 일치함을 발견하였으며, 특히 표면이 매끄러운 지오멤브레인의 접촉면에서는 매우 상관관계를 보였다. 비록 표면이 거친 지오멤브레인이 포함된 접촉면에서는 예측 최대 전단강도가 실험결과와 약간의 차이를 보이기는 하였지만, 전체적으로 본 모델이 최대 전단응력이 나타나는 변위점과 대변형에서의 전단강도를 상당히 정확히 예측하였으며, 이를 통해 본 모델이 변형율 연화 현상을 보이는 접촉면 전단거동의 모델링에 유용함을 확인하였다.

일반화된 Hoek-Brown 파괴조건식의 강도정수 a와 터널 보강깊이가 원형터널의 탄소성 거동에 미치는 영향 (Effect of Strength Parameter a in the Generalized Hoek-Brown Failure Criterion and the Reinforcement Thickness on the Elasto-plastic Behavior of Circular Tunnel)

  • 이연규;박경순
    • 화약ㆍ발파
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    • 제26권2호
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    • pp.20-28
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    • 2008
  • 터널설계 시 내공변위 예측은 흔히 탄소성 해석을 통하여 수행되므로, 탄소성 해석법은 많은 연구자들의 관심을 끌고 있는 연구 주제이다. 그러나 일반화된 Hoek-Broun 암반에 굴착된 원형터널의 탄소성 거동은 그 중요성에도 불구하고 아직까지 연구가 미진한 실정이다. 이 연구에서는 Lee & Pietruszczak (2008)의 연구를 응용하여 주변이 환형으로 보강된 원형터널의 탄소성 해석을 위한 간단한 수치 해석법을 제안하였다. 터널은 일반화된 Hoek-Brown 파괴조건을 따르는 변형률연화 암반에 굴착되는 것으로 가정하였다. 제안된 방법의 검증을 위해 상업코드인 FLAC이 이용되었다. 예제 해석을 통해 Hoek-Brown 강도정수 a와 보강대의 두께가 터널 주변의 탄소성 거동에 미치는 영향을 검토하였다. 해석결과 이 두 변수가 터널주변의 응력 및 변위 분포에 미치는 영향은 상당히 큰 것으로 나타났다.

단열 전단 밴드의 유한요소 해석 (Finite Element Anmllysis of Adiabatic Shear Band)

  • 유요한;전기영;정동택
    • 대한기계학회논문집
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    • 제16권8호
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    • pp.1519-1529
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    • 1992
  • 본 연구에서는 단열 전단 밴드의 특성 규명을 위하여 특별히 고안된 계단 형 상 시편(stepped specimen)의 수치해석을 통하여 단열 전단 밴드의 형성과 성장(init- iation and growth of adiabatic shear band)에 관한 체계적 해석을 시도해 보았다. 금번 논문에서는 우선 격자 크기(mesh size)와 충격 속도(impact velocity)가 단열 전 단 밴드의 형성 및 성장에 미치는 영향과 제반 특성을 규명할 계획이며 차후 재료의 기하학적 형상 등이 단열 전단 밴드의 형성 및 성장에 미치는 영향에 대해서도 단계적 연구를 시도할 계획이다. 해석을 위하여 가공경화효과, 변형률 속도 경화효과(stra- in rate hardening effect), 열적연화효과 등을 고려할 수 있는 구성 방정식(constit- utive equation)을 갖춘 엑스플리시트 시간적분 유한요소 코드(explicit time integr- ation finite element code)를 사용하였으며 기존의 연구 결과와는 달리 어떠한 인위 적 결함도 해석에 사용하지 않았다.

Static bending study of AFG nanobeam using local stress-and strain-driven nonlocal integral models

  • Yuan Tang;Hai Qing
    • Advances in nano research
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    • 제16권3호
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    • pp.265-272
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    • 2024
  • In this paper, the problem of static bending of axially functionally graded (AFG) nanobeam is formulated with the local stress(Lσ)- and strain-driven(εD) two-phase local/nonlocal integral models (TPNIMs). The novelty of the present study aims to compare the size-effects of nonlocal integral models on bending deflections of AFG Euler-Bernoulli nano-beams. The integral relation between strain and nonlocal stress components based on two types nonlocal integral models is transformed unitedly and equivalently into differential form with constitutive boundary conditions. Purely LσD- and εD-NIMs would lead to ill-posed mathematical formulation, and Purely εD- and LσD-nonlocal differential models (NDM) may result in inconsistent size-dependent bending responses. The general differential quadrature method is applied to obtain the numerical results for bending deflection and moment of AFG nanobeam subjected to different boundary and loading conditions. The influence of AFG index, nonlocal models, and nonlocal parameters on the bending deflections of AFG Euler-Bernoulli nanobeams is investigated numerically. A consistent softening effects can be obtained for both LσD- and εD-TPNIMs. The results from current work may provide useful guidelines for designing and optimizing AFG Euler-Bernoulli beam based nano instruments.

Modelling reinforced concrete beams under mixed shear-tension failure with different continuous FE approaches

  • Marzec, Ireneusz;Skarzynski, Lukasz;Bobinski, Jerzy;Tejchman, Jacek
    • Computers and Concrete
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    • 제12권5호
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    • pp.585-612
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    • 2013
  • The paper presents quasi-static numerical simulations of the behaviour of short reinforced concrete beams without shear reinforcement under mixed shear-tension failure using the FEM and four various constitutive continuum models for concrete. First, an isotropic elasto-plastic model with a Drucker-Prager criterion defined in compression and with a Rankine criterion defined in tension was used. Next, an anisotropic smeared crack and isotropic damage model were applied. Finally, an elasto-plastic-damage model was used. To ensure mesh-independent FE results, to describe strain localization in concrete and to capture a deterministic size effect, all models were enhanced in a softening regime by a characteristic length of micro-structure by means of a non-local theory. Bond-slip between concrete and reinforcement was considered. The numerical results were directly compared with the corresponding laboratory tests performed by Walraven and Lehwalter (1994). The advantages and disadvantages of enhanced models to model the reinforced concrete behaviour were outlined.

재료비선형성을 고려한 R/C 구조물의 유한요소해석 (Material Nonlinear Finite Element Analysis of Reinforced Concrete Structures)

  • 최창근;곽효경
    • 대한토목학회논문집
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    • 제9권3호
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    • pp.31-38
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    • 1989
  • 본 논문은 점진적 증가하중에 의한 철근 콘크리트 구조물의 전반적인 거동을 고찰하기 위한 것으로써 콘크리트의 인장균열, 철근 및 콘크리트의 응력-변형을 관계의 비선형성을 고려하였다. 콘크리트는 인장영역에서는 선형 탄성체로 가정하였으며 압축영역에서 탄소성체로 가정하였다. 압축영역의 콘크리트 거동을 파악함에 있어 Kupfer가 제안한 파괴표면 식을 항복한계로 사용 하였으며 associated flow rule에 의해 거동한다고 가정하였다. 철근은 일축응력을 받는 선형의 변형경화 재료로 모델링하였다. 콘크리트의 균열 발생시 인접한 균열 사이의 tension stiffening effect를 고려하였으며 콘크리트 구조물의 해석시 나타나는 유한요소의 크기에 따른 수치해석 오차를 콘크리트 인장부분의 변형연화 영역의 기울기를 보정함으로써 감소시키는 에너지 개념에 의한 ${\epsilon}_0$의 결정 모델 제안하였다.

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Free vibration analysis of FG nanoplate with poriferous imperfection in hygrothermal environment

  • Karami, Behrouz;Shahsavari, Davood;Janghorban, Maziar;Li, Li
    • Structural Engineering and Mechanics
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    • 제73권2호
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    • pp.191-207
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    • 2020
  • This study aims at investigating the size-dependent free vibration of porous nanoplates when exposed to hygrothermal environment and rested on Kerr foundation. Based on the modified power-law model, material properties of porous functionally graded (FG) nanoplates are supposed to change continuously along the thickness direction. The generalized nonlocal strain gradient elasticity theory incorporating three scale factors (i.e. lower- and higher-order nonlocal parameters, strain gradient length scale parameter), is employed to expand the assumption of second shear deformation theory (SSDT) for considering the small size effect on plates. The governing equations are obtained based on Hamilton's principle and then the equations are solved using an analytical method. The elastic Kerr foundation, as a highly effected foundation type, is adopted to capture the foundation effects. Three different patterns of porosity (namely, even, uneven and logarithmic-uneven porosities) are also considered to fill some gaps of porosity impact. A comparative study is given by using various structural models to show the effect of material composition, porosity distribution, temperature and moisture differences, size dependency and elastic Kerr foundation on the size-dependent free vibration of porous nanoplates. Results show a significant change in higher-order frequencies due to small scale parameters, which could be due to the size effect mechanisms. Furthermore, Porosities inside of the material properties often present a stiffness softening effect on the vibration frequency of FG nanoplates.

SM40C 강의 열처리가 피로균열전파속도에 미치는 영향 (The Effect of Heat Treatment on the Fatigue Crack Propagation in SM40C Steel)

  • 금창훈;권숙인
    • 열처리공학회지
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    • 제3권2호
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    • pp.37-44
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    • 1990
  • The effect of the microstructural change on the near threshold fatigue crack growth rate in SM40C steel has been studied using the ${\Delta}K$ decreasing method. Below the total strain amplitude of 0.56%, cyclic softening occured, whereas above this value cyclic hardening occurred in the pearlitic lamellar structure. However, in the spherodized structure the cyclic hardening solely occurred. The crack growth rate in the near-threshold region was decreased with increasing prior austenite grain size and this was due to surface roughness. The crack growth rate of the spherodized structure was lower than that of the pearlite lamellar structure and the ${\Delta}K_{th}$ of the former was higher than that of the latter. It was understood that the crack propagates preferentially through the ferrite phase. The intergranular facets in the near-threshold region appeared in the spherodized structure.

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기지금속을 달리한 Bi-2223 초전도 선에서의 기계적 특성 변화 (Mechanical properties at Bi-2223 HTS tapes with various sheath materials)

  • 하동우;이동훈;양주생;김상철;황선역;하홍수;오상수
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.1
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    • pp.551-554
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    • 2004
  • Bi-2223 HTS tapes are used widely for application of superconducting power systems. However there are need the properties of high strength and low AC loss. Two kinds of Bi-2223 HTS tapes with different Ag sheath were used to know the effect of sheath alloying for the strength and the resistivity. The workability and reaction degree of superconducting phase at Bi-2223 HTS tapes were investigated. We designed conventional type-Ag/alloy and double sheathed mono filament type-Ag/alloy/alloy in order to increase the strength and resistivity of matrix in Bi-2223 HTS tapes. The effect of axial strain and thermal cycling on the critical current was investigated for the Bi-2223 HTS tapes. Because the workability of double sheath Bi-2223 HTS tape was lower than one sheath Bi-2223 HTS tape, it was need additional softening treatment. Bi-2223 formation reaction was decreased by Ag alloy matrix during sintering process. Two kinds of Bi-2223/Ag tapes with different Ag sheath were used to know the effect of sheath alloying for the tensile strain. Critical current is drastically decreased for Ag/alloy and Ag/alloy/alloy sheathed tapes at tensile strain above 0.24 % and 0.34 %, respectively. This result showed that mechanical strength was increased over than 40 % by introduce double sheath at mono filament stage.

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계단시편의 간극이 단열전단밴드의 형성에 미치는 영향 (Effects of Clearance on the Formation of Adiabatic Shear Band in Stepped Specimen)

  • 유요한;전기영;정동택
    • 대한기계학회논문집
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    • 제17권7호
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    • pp.1700-1709
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    • 1993
  • The stepped specimen which is subjected to step loading is modeled to study the initiation and growth of adiabatic shear band using explicit time integration finite element method. Three different clearance sizes are tested. The material model for the stepped specimen includes effects of strain hardening, strain rate hardening and thermal softening. It is found that the material inside the fully grown adiabatic shear band experiences three phase of deformation, (1) homogeneous deformation phase, (2) initiation/incubation phase, and (3) fast growth phase. The second phase of deformation is initiated after sudden shear stress drop which occurs at the same time regardless of the clearance size. The incubation time prior to fast growth phase increases, as the clearance size of the stepped specimen increases. Whereas, after incubation period, the growth rate of the adiabatic shear band decreases, as the clearance size decreases. It is also found that two adiabatic shear band may develop instead of one for the smaller clearance size.