• 제목/요약/키워드: Critical exponent

검색결과 98건 처리시간 0.031초

배관용재료의 설계시 안전성 평가에 관한 연구(II) (A Study on the Safety Evaluation of Design for Piping Materials (II))

  • 김복기
    • 한국안전학회지
    • /
    • 제10권3호
    • /
    • pp.3-10
    • /
    • 1995
  • For most engineering materials are influenced by the dominant mechanism resisting crack extention under large scale yielding conditions. Continuum mechanics analysis shows that fracture toughness, in addition to depending on young's modulus, flow stress strain hardening exponent, and yield strain, should be nearly proportoinal to the effective fracture ductility obtained for the stress state characteristic for region ahead of the crack; plane stress or plane strain. It's known that, in most ductile materials, crack propagation of the material strongly governed by the $J_{IC}$ value, which is still difficult to determine for it's complicate and treble-some determinative process. This paper, on the assumption that, initiation of crack tip strain field reaches on the relationships between the critical value of J-integral ($J_{IC}$) and the local fracture strain(${\varepsilon}_c$) in uniaxial tensile test in the region of maximun reduction areas was described.

  • PDF

부가질량을 갖는 구속 외팔송수관의 비선형 동특성 (Nonlinear Dynamic Charateristics of Constrained Cantilever Tube with Attached Mass)

  • 정구충;임재훈;최연선
    • 한국소음진동공학회논문집
    • /
    • 제14권7호
    • /
    • pp.561-568
    • /
    • 2004
  • The nonlinear dynamic characteristic of a straight tube conveying fluid with constraints and an attached mass on the tube is examined in this study An experimental apparatus with an elastomer tube conveying water which has an attached mass and constraints is made and comparisons are made between the theoretical results from the non-linear equation of motion of piping system and the experimental results. The comparisons show that the tube is destabilized as the magnitude of the attached mass increases, and stabilized as the position of the attached mass closes to the fixed end. In case of a small end-mass, the system shows complicated and different types of solutions. For a constant end-mass. the system undergoes a series of bifurcations after the first Hopf bifurcation, as the flow velocity increases. which causes chaotic motions of the tube eventually.

불규칙한 외부 교란이 주기적 가진을 받는 비선형계의 동적 특성에 미치는 영향 (Noise Effect in a Nonlinear System Under Harmonic Excitation)

  • 박시형;김지환
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
    • /
    • pp.145-153
    • /
    • 1997
  • Dynamic characteristics are investigated when a nonlinear system showing periodic and chaotic responses under harmonic excitation is exposed to random perturbation. About two well potential problem, probability of homoclinic bifurcation is estimated using stochastic generalized Meinikov process and quantitive characteristics are investigated by calculation of Lyapunov exponent. Critical excitaion is calculated by various assumptions about Gaussian Melnikov process. To verify the phenomenon graphically Fokker-Planck equation is solved numerically and the original nonlinear equation is numerically simulated. Numerical solution of Fokker-Planck equation is calculated on Poincare section and noise induced chaos is studied by solving the eigenvalue problem of discretized probability density function.

  • PDF

해양구조용강의 피로크랙진전특성에 미치는 쇼트피닝 투사속도의 영향 (A Study on the Effect of Shot Velocity by Shot Peening on fatigue Crack Growth Property for Marine Structural Steel)

  • 박경동;노영석
    • 한국해양공학회지
    • /
    • 제17권2호
    • /
    • pp.47-53
    • /
    • 2003
  • The development of new materials with light weight and high strength has become vital to the machinery, aircraft and auto industries. However, there are a lot of problems with developing such materials that require such expensive tools, as well as a great deal of time and effort. Therefore, the improvement of fatigue life through, the adoption of residual stress, is the main focus. The compressive residual stress was imposed on the surface according to each shot velocity(1800, 2200, 2600, 3000rpm) based on Shot-peening, which is the method of improving fatigue life and strength. By using the methose mentioned above, we arrived at the following conclusions; 1. The fatigue crack growth rate(da/dN) of the Shot-peened material was lower than that of the Un-peened material. In stage I, $\Delta$K$_{th}$, the threshold stress intensity factor, of the shot-peen processed material is high in critical parts, unlike the Un-peened material. Also m, fatigue crack growth exponent and number of cycle of the Shot-peened material was higher than of the Un-peened material. That is concluded from effect of da/dN. 2. Fatigue life shows more improvement in the Shot-peened material than in the Un-peened material. Compressive residual stress of the surface on the Shot-peen processed operate resistance force of fatigue crack propagation.

해양구조용강의 피로거동에 관한 연구 (A Study on Shot peening on Fatigue Crack Growth Property for Marine Structural Steel)

  • 박경동;하경준
    • 한국해양공학회:학술대회논문집
    • /
    • 한국해양공학회 2003년도 춘계학술대회 논문집
    • /
    • pp.313-318
    • /
    • 2003
  • The development of new materials with light weight and high strength has become vital to the machinery, aircraft and auto industries. However, there are a lot of problems with developing such materials that require expensive tools, and a great deal of time and effort. Therefore, the improvement of fatigue strength and fatigue life are mainly focused on by adopting residual stress(in this thesis). The compressive residual stress was imposed on the surface according to each shot velocity(57, 70, 83, 96 m/sec) based on Shot-peening, which is the method of improving fatigue lift: and strength. By using the methods mentioned above, I arrived at the following conclusions 1. The fatigue crack growth rate(da/dN) of the Shot-peened material was lower than that of the Un-peened material. And in stage I, ${\Delta}K_{th}$, the threshold stress intensity factor, of the shot-peen processed material is high in critical parts unlike the Un-peened material. Also m, fatigue crack growth exponent and number of cycle of the Shot-peened material was higher than that of the Un-peened material. That is concluded from effect of da/dN. 2. Fatigue life shows more improvement in the Shot-peened material than in the Un-peened material. And compressive residual stress of surface on the Shot-peen processed operate resistance force of fatigue crack propagation.

  • PDF

Static analysis of nonlinear FG-CNT reinforced nano-composite beam resting on Winkler/Pasternak foundation

  • Mostefa Sekkak;Rachid Zerrouki;Mohamed Zidour;Abdelouahed Tounsi;Mohamed Bourada;Mahmoud M Selim;Hosam A. Saad
    • Advances in nano research
    • /
    • 제16권5호
    • /
    • pp.509-519
    • /
    • 2024
  • In this study, the static analysis of carbon nanotube-reinforced composites (CNTRC) beams resting on a Winkler-Pasternak elastic foundation is presented. The developed theories account for higher-order variation of transverse shear strain through the depth of the beam and satisfy the stress-free boundary conditions on the top and bottom surfaces of the beam. To study the effect of carbon nanotubes distribution in functionally graded (FG-CNT), we introduce in the equation of CNT volume fraction a new exponent equation. The SWCNTs are assumed to be aligned and distributed in the polymeric matrix with different patterns of reinforcement. The rule of mixture is used to describe the material properties of the CNTRC beams. The governing equations were derived by employing Hamilton's principle. The models presented in this work are numerically provided to verify the accuracy of the present theory. The analytical solutions are presented, and the obtained results are compared with the existing solutions to verify the validity of the developed theories. Many parameters are investigated, such as the Pasternak shear modulus parameter, the Winkler modulus parameter, the volume fraction, and the order of the exponent in the volume fraction equation. New results obtained from bending and stresses are presented and discussed in detail. From the obtained results, it became clear the influence of the exponential CNTs distribution and Winkler-Pasternak model improved the mechanical properties of the CNTRC beams.

고온분위기에서 열응력을 받는 부재의 수명예측에 관한 연구 (A study of life predictions on very high temperture thermal stress)

  • 김성청
    • 한국생산제조학회지
    • /
    • 제7권6호
    • /
    • pp.117-125
    • /
    • 1998
  • The paper attempts to estimate the incubation time of a cavity in the interface between a power law creep particle and an elastic matrix subjected to a uniaxial stress. Since the power law creep particle is time dependent, the stresses in the interface relax. The volume free energy associated with Helmholtz free energy includes strain energies caused by applied stress and dislocations piled up in interface(DPI). The energy due to DPI is found by modifying the result of Dundurs and Mura[4]. The volume free energies caused by both applied stress and DPI are a function of the cavity size(r) and elapsed time(t) and arise from stress relaxation in the interface. Critical radius $r^*$ and incubation time $t^*$ to maximise Helmholtz free energy is found in present analysis. Also, kinetics of cavity formation are investigated using the results obtained by Riede [7]. The incubation time is defined in the analysis as the time required to satisfy both the thermodynamic and kinetic conditions. Through the analysis it is found that 1) strain energy caused by the applied stress does not contribute significantly to the thermodynamic and kinetic conditions of a cavity formation, 2) in order to satisfy both thermodynamic and kinetic conditions, critical radius $r^*$ decreases or holds constant with increase of the time until the kinetic condition(eq. 2.3) is satisfied. there for the cavity may not grow right after it is formed, as postulated by Harris [15], and Ishida and Mclean [16], 3) the effects of strain rate exponent (m), material constant $\sigma$0, volume fraction of the particle to matrix(f)and particle size on the incubation time are estimated using material constants of the copper as matrix.

  • PDF

$MgB_2$ 박막에서의 열적 활성화에 비해 두드러진 볼텍스 유리화 및 열적 요동현상의 연구 (Domination of glassy and fluctuation behavior over thermal activation in vortex state in $MgB_2$ thin film)

  • Kim, Heon-Jung;W. N. Kang;Kim, Hyeong-Jin;Park, Eun-Mi;Kim, Kijoon H. P.
    • Progress in Superconductivity
    • /
    • 제3권1호
    • /
    • pp.23-27
    • /
    • 2001
  • We have investigated the mixed-state magnetoresistance of high quality c-axis-oriented MgB2 thin film for magnetic field from 0.5 T to 5.0 T, applied normal to ab-plane. The temperature dependence of magnetoresistance was well described by vortex glass and fluctuation theories for different temperature regimes. We observed glassy exponent of v(z-1)~3 and upper critical field of $H_{c2}$(0)~35 T, which is consistent with previous data obtained from direct $H_{c2}$(0) measurements. Interestingly, the thermally activated flux flow region was observed to be very narrow, suggesting that the pinning strength of this compound is very strong. This finding is closely related to the recent reports that the bulk pinning is dominant in $MgB_2$and the critical current density of $MgB_2$ thin film is very high, comparable to that of cuprate superconductor. The present results further suggest that $MgB_2$is beneficial to technical applications.ons.

  • PDF

오일 함유 세척수의 한외여과 처리에서의 역세척에 관한 실험연구 (Experimental Study on the Backflushing for Ultrafiltration Treatment of Alkaline Cleaner Containing Cutting Oils)

  • 김종표;정명석;김재진;정건용;전성덕
    • 멤브레인
    • /
    • 제8권2호
    • /
    • pp.94-101
    • /
    • 1998
  • 폴리아크릴로니트릴 공중합계의 재질인 한외여과 중공사막 (분획분자량: $5\times 10^4$ Dalton)을 이용하여 금속표면처리 세척수로부터 오일입자를 제거하였다. 오일입자를 분리하고자 할 때 막표면에서의 농도분극 현상으로 투과플럭스를 감소시키므로 농도분극을 억제하기 위하여 질소기체로 역세척을 수행하였다. 정상운전 및 역세척시간을 각기 달리하여 운전함으로써 얻어진 투과플럭스의 거동을 정량적으로 비교하였다. 실험결과, 실질투과플럭스 증가율의 산출을 기준으로 정상운전시간/역세척시간이 10분/40초인 조건이 역세척을 하지 않은 경우와 비교하여 가장 높은 증가율 (약 23%)을 보였다. 하지만, 실제 운전에서 중요하게 고려되는 시간에 따른 투과플럭스의 안정성은 정상운전시간이 연장되면 크게 떨어짐을 알 수 있었다. 막투과플럭스가 역세척압력에 무관하게 일정한 거동을 보이는 레이놀즈수 이상에서는 역세척압력이 증가할수록 투과플럭스는 n제곱승으로 증가하는 상관관계를 보였고, 원료공급속도가 증가할수록 투과플럭스의 증가정도는 상승하는 경향을 나타냈다.

  • PDF

SAE 5155강의 컴퓨터부식피로 균열에 미치는 압축잔류응력의 영향 (The Effect of Compressive Residual Stress on Computer Corrosion Fatigue Crack of SAE 5155)

  • 박성모;문광석;박경동
    • 한국기계가공학회지
    • /
    • 제6권2호
    • /
    • pp.34-40
    • /
    • 2007
  • Antifatigue failure technology take an important part of current industries. Currently, the shot peening is used for removing the defect from the surface of steel and improving the fatigue strength on surface. Therefore, this paper the effect of compressive residual stress and corrosion of spring steel(SAE 5155)by shot-peening on fatigue crack growth characteristics in stress ratio(R=0.05)was investigated with considering fracture mechanics. By using the methods mentioned above, We arrived at the following conclusions. The fatigue crack growth rate(da/dN) of the shot-peening material was lower than that of the un-peening material. And in stage I, ${\Delta}Kth$, the threshold stress intensity factor, of the shot-peen processed material is high in critical parts unlike the un-peening material. Also m, fatigue crack growth exponent and number of cycle of the shot-peening material was higher than that of the un-peening material. That is concluded from effect of da/dN. Finally fracture of shot-peening material and un-peening material was identified and discussed in this study.

  • PDF