• 제목/요약/키워드: strain at peak stress

검색결과 157건 처리시간 0.022초

Energy dissipation response of brick masonry under cyclic compressive loading

  • Senthivel, R.;Sinha, S.N.
    • Structural Engineering and Mechanics
    • /
    • 제16권4호
    • /
    • pp.405-422
    • /
    • 2003
  • Scaled brick masonry panels were tested under cyclic unialxial compression loading to evaluate its deformation characteristics. An envelope stress - strain curves, a common point curves and stability point curves were obtained for various cyclic test conditions. Loops of the stress-strain hysteresis were used to determine the energy dissipation for each cycle. Empirical expressions were proposed for the relations between energy dissipation and envelope and residual strains. These relations indicated that the decay of masonry strength starts at about two-third of peak stress.

고온 변형 곡선을 이용한 동적 재결정 해석과 동적 상변태의 조기 예측 (Precise Flow Stress Analysis for the Occurrence of Dynamic Ferritic Transformation and Dynamic Recrystallization of Austenite in Low Carbon Steel)

  • 박노근
    • 대한금속재료학회지
    • /
    • 제56권11호
    • /
    • pp.779-786
    • /
    • 2018
  • There have been previous attempts to observe the occurrence of dynamic ferritic transformation at temperatures even above $Ae_3$ in a low-carbon steel, and not only in steels, but recently also in titanium alloys. In this study, a new approach is proposed that involves treating true stress-true strain curves in uniaxial compression tests at various temperatures, and different strain rates in 0.1C-6Ni steel, which is a model alloy used to decelerate the kinetics of ferrite transformation from austenite. The initial flow stress up to peak stress was used to analyze the change in dynamic softening phenomena, such as dynamic recovery, dynamic recrystallization, and dynamic transformation. It is worth mentioning that for predicting the occurrence of dynamic transformation, flow stress before reaching peak stress is much more sensitive to the change in the dynamic softening rate due to dynamic transformation, compared to peak stress. It was found that the occurrence of dynamic ferritic transformation could be successfully obtained even at temperatures above $Ae_3$ once the deformation condition was satisfied. This deformation condition is a function of both the strain rate and the deformation temperature, which can be described as the Zener - Hollomon parameter. In addition, the driving force of dynamic ferritic transformation might be much less than that of the dynamic recrystallization of austenite at a given deformation condition. By applying this technique, it is possible to predict the occurrence of dynamic transformation more sensitively compared with the previous analysis method using peak stress during deformation.

바텀애시 골재와 기포를 융합한 경량 콘크리트의 압축 응력-변형률 모델 (Stress-Strain Model in Compression for Lightweight Concrete using Bottom Ash Aggregates and Air Foam)

  • 이광일;문주현;양근혁;지구배
    • 한국건설순환자원학회논문집
    • /
    • 제7권3호
    • /
    • pp.216-223
    • /
    • 2019
  • 이 연구의 목적은 바텀애시 골재와 기포를 융합한 경량 콘크리트(bottom ash based lightweight concrete, LWC-BF)의 압축 응력-변형률 모델 제시이다. Yang 등이 제시한 응력-변형률 곡선식에서 LWC-BF 9 배합의 실험으로부터 얻은 탄성계수, 최대응력 시 변형률 그리고 최대응력 이후 최대응력의 50% 응력 시 변형률 값들을 이용하여 상승부와 하강부의 기울기를 결정하였다. 제시된 모델은 기포 혼입율의 증가와 함께 감소되는 초기 강성 및 증가되는 하강부 기울기를 잘 반영하면서 실험결과와 잘 일치하였다. 제시된 모델의 예측값과 실험값의 평균제곱근 오차로부터 결정된 평균값과 표준편차는 각각 0.19와 0.08로서 각각 1.23과 0.47 값을 보이는 fib 2010 모델에 비해 현저히 낮았다.

Al 6061 합금의 고온 소성변형 조건의 예측 (Prediction of High Temperature Plastic Deformation Variables on Al 6061 Alloy)

  • 김성일;정태성;유연철;오수익
    • 소성∙가공
    • /
    • 제8권6호
    • /
    • pp.576-582
    • /
    • 1999
  • The high temperature behavior of Al 6061 alloy was characterized by the hot torsion test in the temperature ranges of 400∼550℃ and the strain rate ranges of 0.05∼5/sec. To decide optimum deformation condition, three types of deformation maps were individually made from the critical strain (εc). deformation resistance(σp) and deformation efficiency (η). The critical strain(εc) for dynamic recrystallization (DRX) which was decided from the inflection point of strain hardening rate(θ) - effective stress (σ) curve was about 0.65 times of peak strain (εp). The relationship among deformation resistance (peak stress, σp), strain rate (ε), and temperature (T) could be expressed by ε=2.9×1013[sinh(0.0256σp]7.3exp (-216,000/RT). The deformation efficiency (η)which was calculated on the basis of the dynamic materials model (DMM) showed high values at the condition of 500∼550℃, 5/sec for 100% strain. The results from three deformation maps were compared with microstructures. The best condition of plastic deformation could be determined as 500℃ and 5/sec.

  • PDF

Nb 첨가 오스테나이트계 내열 스테인리스강의 열기계적 피로 수명 및 변형 거동 (Endurance Life and Deformation Behavior under Thermo-mechanical Fatigue of Nb-added Heat Resistant Austenitic Stainless Steel)

  • 오용준;박중철;양원존
    • 대한금속재료학회지
    • /
    • 제49권7호
    • /
    • pp.541-548
    • /
    • 2011
  • Thermomechanical fatigue (TMF) behavior of heat resistant austenitic stainless steel was evaluated in the temperature range from 100$^{\circ}C$ to peak temperatures of 600 to 800$^{\circ}C$; The fatigue lives under TMF conditions were plotted against the plastic strain range and the dissipated energy per cycle. In the expression of the inelastic strain range versus fatigue life, the TMF data obtained at different temperature ranges were located close to a single line with a small deviation; however, when the dissipated energy per cycle, calculated from the area of the stress-strain hysteresis loops at the half of the fatigue life, was plotted against the fatigue life, the data showed greater scattering than the TMF life against the inelastic strain range. A noticeable stress relaxation in the stress-strain hysteresis curve took place at the peak temperatures higher than 700$^{\circ}C$, but all specimens in this study exhibited cyclic hardening behavior with TMF cycles. Recrystallization occurred during the TMF cycle concurrent with the formation of fine subgrains in the recrystallized region, which is considered to cause the cyclic hardening of the steel.

응력-변형률 관계 정식화의 적용성(I) -평면변형률압축시험에 대한 적용성- (Application of Modelling Stress-Strain Relations (Part I) -Application to Plane Strain Compression Tests-)

  • 박춘식
    • 한국지반공학회논문집
    • /
    • 제28권12호
    • /
    • pp.17-25
    • /
    • 2012
  • 유한요소해석 등에 의한 수치해석에서는 정식화된 응력-변형률 관계가 필요하다. 그러나 현재까지 여러 연구자들에 의해 발표된 응력-변형률 관계의 정식화는 미소변형률 수준에서부터 피크에 이르기까지 전체를 모두 만족하지 못하게 표현하였다. Tatsuoka and Shibuya(1991)는 하나의 식으로 연약 점성토에서 연암에 이르는 광범위한 지반재료에 대해 적용 가능하며, 넓은 범위의 변형률 수준($10^{-6}{\sim}10^{-2}$)에 대해 적용할 수 있는 새로운 제안식을 발표하였다. 본 연구는 세계 각국의 주요 연구기관에서 사용되고 있는 7종류의 연구용 표준사 공시체 및 2종류의 유리 구슬(Glass beads) 공시체를 이용하여 평면변형률압축시험을 실시하였다. 최대주응력방향(${\sigma}_1$)의 변형률과 최소주응력방향(${\sigma}_3$)의 변형률을 각각 $10^{-6}$에서 $10^{-2}$까지 상세히 측정하였고, 얻어진 시험 결과를 새롭게 제안된 식에 적용하였다. 그 결과 미소변형률 수준에서 피크에 이르는 응력-변형률 관계의 실측된 데이터와 매우 잘 일치하는 결과를 얻었다.

Stress-strain behavior and toughness of high-performance steel fiber reinforced concrete in compression

  • Ramadoss, P.;Nagamani, K.
    • Computers and Concrete
    • /
    • 제11권2호
    • /
    • pp.149-167
    • /
    • 2013
  • The complete stress-strain behavior of steel fiber reinforced concrete in compression is needed for the analysis and design of structures. An experimental investigation was carried out to generate the complete stress-strain curve of high-performance steel fiber reinforced concrete (HPSFRC) with a strength range of 52-80 MPa. The variation in concrete strength was achieved by varying the water-to-cementitious materials ratio of 0.40-0.25 and steel fiber content (Vf = 0.5, 1.0 and 1.5% with l/d = 80 and 55) in terms of fiber reinforcing parameter, at 10% silica fume replacement. The effects of these parameters on the shape of stress-strain curves are presented. Based on the test data, a simple model is proposed to generate the complete stress-strain relationship for HPSFRC. The proposed model has been found to give good correlation with the stress-strain curves generated experimentally. Inclusion of fibers into HPC improved the ductility considerably. Equations to quantify the effect of fibers on compressive strength, strain at peak stress and toughness of concrete in terms of fiber reinforcing index are also proposed, which predicted the test data quite accurately. Compressive strength prediction model was validated with the strength data of earlier researchers with an absolute variation of 2.1%.

Shear wave velocity of sands subject to large strain triaxial loading

  • Teachavorasinskun, Supot;Pongvithayapanu, Pulpong
    • Geomechanics and Engineering
    • /
    • 제11권5호
    • /
    • pp.713-723
    • /
    • 2016
  • Shear wave velocities of three selected sandy soils subject to drained triaxial compression test were continuously measured using the bender elements. The shear wave velocity during isotropic compression, as widely recognized, increased as confining pressure increased and they were correlated well. However, during drained shearing, the mean effective stress could no further provide a suitable correlation. The shear wave velocity during this stage was almost constant with respect to the mean effective stress. The vertical stress was found to be more favorable at this stage (since confining stress was kept constant). When sample was attained its peak stress, the shear wave velocity reduced and deviated from the previously existed trend line. This was probably caused by the non-uniformity induced by the formation of shear band. Subsequently, void ratios computed based on external measurements could not provide reasonable fitting to the initial stage of post-peak shear wave velocity. At very large strain levels after shear band formation, the digital images revealed that sample may internally re-arrange itself to be in a more uniform loose stage. This final stage void ratio estimated based on the proposed correlation derived during pre-peak state was close to the value of the maximum void ratio.

생리학적인 하중 조건에서 소 상완골 연골의 기계적 특성 (In Situ Mechanical Response of Bovine Humeral Head Articular Cartilage in a Physiological Loading Environment)

  • 박성훈
    • 한국정밀공학회지
    • /
    • 제25권1호
    • /
    • pp.145-150
    • /
    • 2008
  • One of the unresolved questions in articular cartilage biomechanics is the magnitude of the dynamic modulus and tissue compressive strains under physiological loading conditions. The objective of this study was to characterize the dynamic modulus and compressive strain magnitudes of bovine articular cartilage at physiological compressive stress level and loading frequency. Four bovine calf shoulder joints (ages 2-4 months) were loaded in Instron testing system under load control, with a load amplitude up to 800 N and loading frequency of 1 Hz, resulting in peak engineering stress amplitude of ${\sim}5.8\;MPa$. The corresponding peak deformation of the articular layer reached ${\sim}27%$ of its thickness. The effective dynamic modulus determined from the slope of stress versus strain curve was ${\sim}23\;MPa$, and the phase angle difference between the applied stress and measured strain which is equivalent to the area of the hystresis loop in the stress-strain response was ${\sim}8.3^{\circ}$. These results are representative of the functional properties of articular cartilage in a physiological loading environment. This study provides novel experimental findings on the physiological strain magnitudes and dynamic modulus achieved in intact articular layers under cyclical loading conditions.

Deformation characteristics of brick masonry due to partial unloading

  • Alshebani, Milad M.;Sinha, S.N.
    • Structural Engineering and Mechanics
    • /
    • 제11권5호
    • /
    • pp.565-574
    • /
    • 2001
  • Experimental investigation into the behaviour of half-scale brick masonry panels were conducted under cyclic loading normal to the bed joint and parallel to the bed joint. For each cycle, full reloading was performed with the cycle peaks coinciding approximately with the envelope curve. Unloading, however, was carried out fully to zero stress level and partially to two different stress levels of 25 percent and 50 percent of peak stress. Stability point limit exhibits a unique stress-strain curve for full unloading but it could not be established for partial unloading. Common point limit was established for all unloading-reloading patterns considered, but its location depends on the stress level at which unloading is carried to. Common point curves were found to follow an exponential formula, while residual strains versus envelope strains can be expressed by a polynomial function of a single term. The relation between residual strain and envelope strain can be used to determine the stress level at which deterioration due to cyclic loading began.