• 제목/요약/키워드: volume fraction index

검색결과 118건 처리시간 0.027초

2상 조직을 갖는 소부경화강의 항복 거동과 변형 시효 특성 (Yielding Behavior and Strain Aging Properties of Bake Hardening Steel with Dual-Phase Microstructure)

  • 이승완;이상인;황병철
    • 한국재료학회지
    • /
    • 제30권6호
    • /
    • pp.315-320
    • /
    • 2020
  • This study deals with the yielding behavior and strain aging properties of three bake hardening steels with dual-phase microstructure, fabricated by varying the annealing temperature. Bake hardening and aging tests are performed to examine the correlation of martensite volume fraction with yielding behavior and strain aging properties of the bake hardening steels with dual-phase microstructure. The volume fraction of martensite increases with increasing annealing temperature. Room-temperature tensile test results show that the yielding behavior changes from discontinuous-type to continuous-type with increasing volume fraction of martensite due to higher mobile dislocation density. According to the bake hardening and aging tests, the specimen with the highest fraction of martensite exhibited high bake hardening with low aging index because solute carbon atoms in ferrite and martensite effectively diffuse to dislocations during the bake hardening test, while in the aging test they diffuse at only ferrite due to lower aging temperature.

Influence of the distribution shape of porosity on the bending of FGM beam using a new higher order shear deformation model

  • Hadji, Lazreg
    • Smart Structures and Systems
    • /
    • 제26권2호
    • /
    • pp.253-262
    • /
    • 2020
  • In this paper, a new higher order shear deformation model is developed for static analysis of functionally graded beams with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. The model account for higher-order variation of transverse shear strain through the depth of the beam and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. The present work aims to study the effect of the distribution forms of porosity on the bending of simply supported FG beam. Based on the present higher-order shear deformation model, the equations of motion are derived by the principle of virtual works. Navier type solution method was used to obtain displacement and stresses, and the numerical results are compared with those available in the literature. A comprehensive parametric study is carried out to assess the effects of volume fraction index, porosity fraction index, and geometry on the bending of imperfect FG beams. It can be concluded that the proposed model is simple and precise for the resolution of the behavior of flexural FGM beams while taking into account the shape of distribution of the porosity.

Thermal stability of functionally graded sandwich plates using a simple shear deformation theory

  • Bouderba, Bachir;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
    • /
    • 제58권3호
    • /
    • pp.397-422
    • /
    • 2016
  • In the present work, a simple first-order shear deformation theory is developed and validated for a variety of numerical examples of the thermal buckling response of functionally graded sandwich plates with various boundary conditions. Contrary to the conventional first-order shear deformation theory, the present first-order shear deformation theory involves only four unknowns and has strong similarities with the classical plate theory in many aspects such as governing equations of motion, and stress resultant expressions. Material properties and thermal expansion coefficient of the sandwich plate faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are considered as uniform, linear and non-linear temperature rises within the thickness direction. The results reveal that the volume fraction index, loading type and functionally graded layers thickness have significant influence on the thermal buckling of functionally graded sandwich plates. Moreover, numerical results prove that the present simple first-order shear deformation theory can achieve the same accuracy of the existing conventional first-order shear deformation theory which has more number of unknowns.

Thermal buckling of functionally graded sandwich plates using a new hyperbolic shear displacement model

  • Kettaf, Fatima Zohra;Houari, Mohammed Sid Ahmed;Benguediab, Mohamed;Tounsi, Abdelouahed
    • Steel and Composite Structures
    • /
    • 제15권4호
    • /
    • pp.399-423
    • /
    • 2013
  • In the present study, the thermal buckling behavior of functionally graded sandwich plates is studied using a new hyperbolic displacement model. Unlike any other theory, the theory is variationally consistent and gives four governing equations. Number of unknown functions involved in displacement field is only four, as against five in case of other shear deformation theories. This present model takes into account the parabolic distribution of transverse shear stresses and satisfies the condition of zero shear stresses on the top and bottom surfaces without using shear correction factor. Material properties and thermal expansion coefficient of the sandwich plate faces are assumed to be graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are assumed as uniform, linear and non-linear temperature rises across the thickness direction. The results reveal that the volume fraction index, loading type and functionally graded layers thickness have significant influence on the thermal buckling of functionally graded sandwich plates.

The Difference of Left Atrial Volume Index : Can It Predict the Occurrence of Atrial Fibrillation after Radiofrequency Ablation of Atrial Flutter?

  • Kim, Ung;Kim, Young-Jo;Kang, Sang-Wook;Song, In-Wook;Jo, Jung-Hwan;Lee, Sang-Hee;Hong, Geu-Ru;Park, Jong-Seon;Shin, Dong-Gu
    • Journal of Yeungnam Medical Science
    • /
    • 제24권2호
    • /
    • pp.197-205
    • /
    • 2007
  • Background : The occurrence of atrial fibrillation after ablation of atrial flutter is clinically important. We investigated variables predicting this evolution in ablated patients without a previous atrial fibrillation history. Materials and Methods : Thirty-six patients (Male=28) who were diagnosed as atrial flutter without previous atrial fibrillation history were enrolled in this study. Group 1 (n=11) was defined as those who developed atrial fibrillation after atrial flutter ablation during 1 year follow-up. Group 2 (n=25) was defined as those who has not occurred atrial fibrillation during same follow-up term. Echocardiogram was performed to all patients. We measured left atrial size, left ventricle end diastolic and systolic dimension, ejection fraction and left atrial volume index before and after ablation of atrial flutter. The differences of each variables were compared and analyzed between two groups. Results : The preablation left ventricular ejection fraction (preLVEF) and postablation left ventricular ejection fraction (postLVEF) are $54{\pm}14%$, $56{\pm}13%$ in group 1 and $47{\pm}16%$, $52{\pm}13%$ in group 2. The differences between each two groups are statistically insignificant ($2.2{\pm}1.5$ in group 1 vs $5.4{\pm}9.8$ in group 2, p=0.53). The preablation left atrial size (preLA) and postablation left atrial size (postLA) are $40{\pm}4mm$, $41{\pm}4mm$ in group1 and $44{\pm}8mm$, $41{\pm}4mm$ in group 2. The atrial sizes of both groups were increased but, the differences of left atrial size between two groups before and after flutter ablation were statistically insignificant ($0.6{\pm}0.9mm$ in group 1 vs $-3.8{\pm}7.4mm$ in group 2, p=0.149). The left atrial volume index before flutter ablation was significantly reduced in group 1 than group 2 ($32{\pm}10mm^3/m^2$, $35{\pm}10mm^3/m^2$ in group 1 and $32{\pm}10mm^3/m^2$, $29{\pm}8mm^3/m^2$ in group 2, p<0.05). Conclusion : The difference between left atrial volume index before and after atrial flutter ablation is the robust predictor of occurrence of atrial fibrillation after atrial flutter ablation without previous atrial fibrillation.

  • PDF

역상액체크로마토그래피에서 벤조산류의 머무름 (Retention of Benzoic Acids in RPLC)

  • 이재석;최범석
    • 분석과학
    • /
    • 제13권3호
    • /
    • pp.269-276
    • /
    • 2000
  • 역상액체크로마토그래피에서 7종의 벤조산의 머무름에 대해서 연구하였다. 벤조산의 불감시간 측정은 무기염이 적당하였다. 로그 용량인자(log k')와 Hildebrand의 용해인자(${\delta}$)는 직선관계를 가지며 머무름 메카니즘이 소용매성 효과에 영향을 받는다. 용질의 전이 엔탈피는 온도증가 그리고 이동상에서 유기변형제의 비와 반비례 관계를 가진다. 이동상에서 물의 부피분율과 log k'의 관계로부터 얻은 기울기인 S값은 양의 값을 가진다. 자유에너지 변화는 유기변형제의 부피분율의 증가와 비례한다. 소수성지표 ${\varphi}_0$은 컬럼의 온도와 반비례한다.

  • PDF

성장 중인 쥐에서 음식물의 경도가 하악 과두의 해면골에 미치는 영향 : 미세전산화 단층촬영을 이용한 연구 (THE EFFECTS OF DIETARY CONSISTENCY ON THE TRABECULAR BONE ARCHITECTURE IN GROWING MOUSE MANDIBULAR CONDYLE : A STUDY USING MICRO-CONFUTED TOMOGRAPHY)

  • 윤석희;이상대;김정욱;이상훈;한세현;김종철
    • 대한소아치과학회지
    • /
    • 제31권2호
    • /
    • pp.228-235
    • /
    • 2004
  • 하악 과두의 발달과 증식은 측두하악관절 부위의 생역학적 환경의 변화에 따라 변경될 수 있다. 이 부위에 전달되는 생역학적 하중은 섭취하는 음식물의 경도를 다르게 함으로써 변화시킬 수 있다. 이번 연구의 목적은 성장 중인 쥐에서 부드러운 음식물의 섭취에 의해 저작력을 변화시키는 것이 하악 과두의 해면골의 형태를 변화시킬 수 있는지 미세전산화 단층촬영을 이용하여 분석하는 것이었다. 생후 21일 된 C57BL/6 쥐 36마리를 무작위로 두 그룹으로 나누었다. 8주 동안 대조군의 쥐들은 일반적인 딱딱한 덩어리의 사료를, 실험군의 쥐들은 덩어리의 사료를 잘게 갈은 후 물과 섞어 부드럽게 만들어 먹였다. 또한 실험군의 쥐들의 하악 절치를 일주일에 두 번씩 잘라서 짧게 만들었다. 8주 후 모든 쥐들을 희생하여 우측 하악 과두를 준비하였다. 미세전산화 단층촬영과 삼차원 영상 분석프로그램을 이용하여 하악 과두 해면골의 bone volume(BV), bone surface(BS), total volume(TV) bone volume fraction(BV/TV), surface to volume ratio(BS/BV), trabecular thickness(Tb. Th.), structure model index(SMI)와 degree of anisotropy(DA)를 측정하고 이들 값으로부터 trabecular number(Tb. N.)와 trabecular separation (Tb. Sp.)을 계산하였다 미세전산화 단층영상을 얻은 후 하악 과두의 조직 표본을 만들었다. 연구 결과는 다음과 같았다. 1. Bone volume fraction(BV/TV), trabecular thickness(Tb. Th.)와 trabecular number(Tb. N.)가 대조군에 비해 부드러운 음식을 먹인 실험군에서 유의하게 감소되었다(p<0.05). 2. Trabecular separation(Tb. Sp.)은 부드러운 음식을 먹인 실험군에서 유의하게 증가하였다(p<0.05). 3. Surface to volume ratio(BS/BV), structure model index(SMI), degree of anisotropy (DA)는 두 군 사이에 유의한 차이를 보이지 않았다(p>0.05). 4. 조직 절편을 관찰한 결과, 부드러운 사료를 먹인 실험군에서 하악 과두의 연골층의 증식 층과 전체 두께가 상당히 감소하였다.

  • PDF

Free vibration analysis of pores functionally graded plates using new element based on Hellinger-Reissner functional

  • Majid Yaghoobi;Mohsen Sedaghatjo;Mohammad Karkon;Lazreg Hadji
    • Steel and Composite Structures
    • /
    • 제49권6호
    • /
    • pp.713-728
    • /
    • 2023
  • This paper aims to investigate the free vibration analysis of FG plates, taking into account the effects of even and uneven porosity. The study employs the Hellinger-Reisner functional and obtains the element's bending stress and membrane stress fields from the analytical solution of the governing equations of the thick plate and plane problem, respectively. The displacement field serves as the second independent field. While few articles on free vibration analysis of circular plates exist, this paper investigates the free vibration of both rectangular and circular plates. After validating the proposed element, the paper investigates the effects of porosity distributions on the natural frequency of the FG porous plate. The study calculates the natural frequency of thin and thick bending plates with different aspect ratios and support conditions for various porosity and volume fraction index values. The study uses three types of porosity distributions, X, V, and O, for the uneven porosity distribution case. For O and V porosity distribution modes, porosity has a minor effect on the natural frequency for both circular and rectangular plates. However, in the case of even porosity distribution or X porosity distribution, the effect of porosity on the natural frequency of circular and rectangular plates increases with an increase in the volume fraction index.

Thermal post-buckling and primary resonance of porous functionally graded beams: Effect of elastic foundations and geometric imperfection

  • Jia-Qin Xu;Gui-Lin She
    • Computers and Concrete
    • /
    • 제32권6호
    • /
    • pp.543-551
    • /
    • 2023
  • In this article, thermal post-buckling and primary resonance of the porous functionally graded material (FGM) beams in thermal environment considering the geometric imperfection are studied, the material properties of FGM beams are assumed to vary along the thickness of the beam, meanwhile, the porosity volume fraction, geometric imperfection, temperature, and the elastic foundation are considered, using the Euler-Lagrange equation, the nonlinear vibration equations are derived, after the dimensionless processing, the dimensionless equations of motion can be obtained. Then, the two-step perturbation method is applied to solve the vibration problems, the resonance and thermal post-buckling response relations are obtained. Finally, the functionally graded index, the porosity volume fraction, temperature, geometric imperfection, and the elastic foundation on the resonance behaviors of the FGM beams are presented. It can be found that these parameters can influence the thermal post-buckling and primary resonance problems.

Non-linear thermal buckling of FG plates with porosity based on hyperbolic shear deformation theory

  • Hadji, Lazreg;Amoozgar, Mohammadreza;Tounsi, Abdelouahed
    • Steel and Composite Structures
    • /
    • 제42권5호
    • /
    • pp.711-722
    • /
    • 2022
  • In this paper, hyperbolic shear deformation plate theory is developed for thermal buckling of functionally graded plates with porosity by dividing transverse displacement into bending and shear parts. The present theory is variationally consistent, and accounts for a quadratic variation of the transverse shearstrains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Three different patterns of porosity distributions (including even and uneven distribution patterns, and the logarithmic-uneven pattern) are considered. The logarithmic-uneven porosities for first time is mentioned. Equilibrium and stability equations are derived based on the present theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. A comprehensive parametric study is carried out to assess the effects of volume fraction index, porosity fraction index, aspect ratio and side-to-thickness ratio on the buckling temperature difference of imperfect FG plates.