• 제목/요약/키워드: Constitutive relation

검색결과 166건 처리시간 0.031초

Modal analysis of viscoelastic nanorods under an axially harmonic load

  • Akbas, Seref D.
    • Advances in nano research
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    • 제8권4호
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    • pp.277-282
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    • 2020
  • Axially damped forced vibration responses of viscoelastic nanorods are investigated within the frame of the modal analysis. The nonlocal elasticity theory is used in the constitutive relation of the nanorod with the Kelvin-Voigt viscoelastic model. In the forced vibration problem, a cantilever nanorod subjected to a harmonic load at the free end of the nanorod is considered in the numerical examples. By using the modal technique, the modal expressions of the viscoelastic nanorods are presented and solved exactly in the nonlocal elasticity theory. In the numerical results, the effects of the nonlocal parameter, damping coefficient, geometry and dynamic load parameters on the dynamic responses of the viscoelastic nanobem are presented and discussed. In addition, the difference between the nonlocal theory and classical theory is investigated for the damped forced vibration problem.

차륜-레일 구름접촉에 의한 라체팅 모델링 (Simulation of Ratcheting in Wheel-Rail Contact)

  • 구병춘
    • 한국철도학회논문집
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    • 제11권3호
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    • pp.311-316
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    • 2008
  • 일정한 크기의 응력이 반복적으로 작용할 때 매 사이클마다 변형이 증가하는 현상을 라체팅이라고 한다. 라체팅은 레일이나 차륜의 균열발생 기구의 하나이지만 실험적, 이론적 측면에서 아직 많은 연구를 필요로 하는 분야이다. 레일의 경우 접선력 방향으로 소성변형이 축적되는 것으로 알려져 있다. 본 연구에서는 차륜-레일의 구름 접촉에서 발생하는 응력의 이론해에 대해 살펴보고, 라체팅을 모델링 할 수 있는 비선형 이동 경화법칙을 사용하는 탄소성 구성방정식을 적용하여 라체팅 현상을 모델링 하였다. 일정 크기의 접촉력이 반복적으로 작용할 때 매 사이클마다 일정 크기의 소성변형이 발생하였다.

Processing map을 이용한 AZ31 Mg합금의 미세조직예측 (Prediction of Microstructure evolutions during hot-working of AZ31 Mg alloy using Processing map)

  • 이병호;이종수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 추계학술대회 논문집
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    • pp.31-34
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    • 2007
  • In this study, optimum processing condition of AZ31 Mg alloy was investigated utilizing processing map and constitutive equation considering microstructure evolution (dynamic recrystallization) during hot-working. A series of mechanical tests were conducted at various temperatures and strain rates to construct a processing map and to formulate the recrystallization kinetics and grain size relation. Dynamic recrystallization (DRX) was observed to occur revealing maximum intensity at a domain of $250^{\circ}C$ and 1/s. The effect of DRX kinetics on microstructure evolution was implemented in a commercial FEM code followed by remapping of the state variables. The volume fraction and grain size of deformed part were predicted using a modified FEM code and compared with those of actual hot forged one. A good agreement was observed between the experimental results and predicted ones.

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BLP 패키지의 솔더 조인트의 신뢰성 연구 (Solder Joint Reliability of Bottom-leaded Plastic Package)

  • 박주혁
    • 한국마이크로전자및패키징학회:학술대회논문집
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    • 한국마이크로전자및패키징학회 2002년도 춘계 기술심포지움 논문집
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    • pp.79-84
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    • 2002
  • The bottom-leaded plastic(BLP) packages have attracted substantial attention since its appearance in the electronic industry. Since the solder materials have relatively low creep resistance and are susceptible to low cycle fatigue, the life of the solder joints under the thermal loading is a critical issue for the reliability The represent study established a finite element model for the analysis of the solder joint reliability under thermal cyclic loading. An elasto-plastic constitutive relation was adopted for solder materials in the modeling and analysis. A 28-pin BLP assembly is modeled to investigate the effects of various epoxy molding compound, leadframe materials on solder joint reliability. The fatigue life of solder joint is estimated by the modified Coffin-Hanson equation. The two coefficients in the equation are also determined. A new design for lead is also evaluated by using finite element analysis. Parametric studies have been conducted to investigate the dependence of solder joint fatigue life on various package materials.

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자왜 재료의 비선형 구조 방정식에 관한 연구 (A study on the nonlinear constitutive relation in magnetostrictive materials)

  • 강국진;노용래;김연보
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 2000년도 학술발표대회 논문집 제19권 2호
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    • pp.311-314
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    • 2000
  • 자왜 재료는 자계 포화 이하에서 비선형 특성을 갖는다고 알려져 있다. 그러나 지금까지 비선형 특성을 표현하는 자왜 재료의 구조 방정식을 유도한 사례는 전무한 실정이다. 본 연구에서는 자계 포화 이하에서 비선형 특성을 갖는 자왜 재료의 비선형 구조 방정식을 4차 텐서를 이용하여 유도하였다. 나아가 유도된 구조방정식을 이용하여 자왜 재료 내의 파동 방정식을 정식화하였다. 그리고 비선형 특성을 갖는 자왜 재료에서 평면파가 자계 방향을 따라 전파될 때 등방성 자왜 재료의 탄성파 속도를 구하였다. 이상의 결과를 검증하기 위해서 자왜 재료 중에서 가장 널리 사용되고 있는 Terfenol-D의 탄성파 속도를 측정하여 본 연구에서 유도한 자왜 재료 비선형 구조 방정식의 타당성을 일부 검증하였다. 향후에 자왜 재료의 정확한 특성을 측정하여 본 연구 결과와 비교함으로써 본 연구에서 유도한 비선형 구조 방정식의 타당성을 검증하고자 한다.

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강-콘크리트 계면파괴에 관한 비선형 유한요소해석 (Nonlinear Finite Element Analysis of Considering Interface Behaviors between Steel and Concrete)

  • 주영태;이용학
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2004년도 추계 학술발표회 제16권2호
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    • pp.105-108
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    • 2004
  • In general, the nonlinear behavior of composite structures composing of steel and concrete is analyzed on the basis of the assumption of the perfect bond actions in steel-concrete interface in which the interface slip or separation is not allowed. The assumption is based on the fact that the full interface bond behavior is provided with the mechanical connectors of studs. However, since the number and spacing of the studs are determined by the stress resultants calculated in the interface area, the interface analysis is required to evaluate the stress resultants. This paper describes the nonlinear steel-concrete interface behavior considering the two interface failure mechanisms of slip and separation. Elastoplastic constitutive relation is developed. thru the formulation framework using the two energy dissipation mechanisms. As the result, the steel plate push-out tests sandwitched between concrete blocks are analyzed and compared with the test results with which the good agreements are observed.

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Dispersion of waves in FG porous nanoscale plates based on NSGT in thermal environment

  • Ebrahimi, Farzad;Seyfi, Ali;Dabbagh, Ali
    • Advances in nano research
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    • 제7권5호
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    • pp.325-335
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    • 2019
  • In the present study, nonlocal strain gradient theory (NSGT) is developed for wave propagation of functionally graded (FG) nanoscale plate in the thermal environment by considering the porosity effect. $Si_3N_4$ as ceramic phase and SUS304 as metal phase are regarded to be constitutive material of FG nanoplate. The porosity effect is taken into account on the basis of the newly extended method which considers coupling influence between Young's modulus and mass density. The motion relation is derived by applying Hamilton's principle. NSGT is implemented in order to account for small size effect. Wave frequency and phase velocity are obtained by solving the problem via an analytical method. The effects of different parameters such as porosity coefficient, gradient index, wave number, scale factor and temperature change on phase velocity and wave frequency of FG porous nanoplate have been examined and been presented in a group of illustrations.

Plastic analysis of steel arches and framed structures with various cross sections

  • Silva, Jessica L.;Deus, Lidiane R.R.M.;Lemes, Igor J.M.;Silveira, Ricardo A.M.
    • Steel and Composite Structures
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    • 제38권3호
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    • pp.257-270
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    • 2021
  • This paper presents a displacement-based numerical methodology following the Euler-Bernoulli theory to simulate the 2 nonlinear behavior of steel structures. It is worth emphasizing the adoption of co-rotational finite element formulations considering large displacements and rotations and an inelastic material behavior. The numerical procedures proposed considers plasticity concentrated at the finite elements nodes, and the simulation of the steel nonlinear behavior is approached via the Strain Compatibility Method (SCM), where the material constitutive relation is used explicitly. The SCM is also applied in determining the sections bearing capacity. Moreover, the present numerical approach is not limited to a specific structural member cross-sectional typology, with the residual stress models introduced explicitly in subareas of steel cross-sections generated by a 2D discretization. Finally, results consistent with the literature and with low processing time are presented.

Experimental and numeral investigation on self-compacting concrete column with CFRP-PVC spiral reinforcement

  • Chen, Zongping;Xu, Ruitian
    • Earthquakes and Structures
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    • 제22권1호
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    • pp.39-51
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    • 2022
  • The axial compression behavior of nine self-compacting concrete columns confined with CFRP-PVC spirals was studied. Three parameters of spiral reinforcement spacing, spiral reinforcement diameter and height diameter ratio were studied. The test results show that the CFRP strip and PVC tube are destroyed first, and the spiral reinforcement and longitudinal reinforcement yield. The results show that with the increase of spiral reinforcement spacing, the peak bearing capacity decreases, but the ductility increases; with the increase of spiral reinforcement diameter, the peak bearing capacity increases, but has little effect on ductility, and the specimen with the ratio of height to diameter of 7.5 has the best mechanical properties. According to the reasonable constitutive relation of material, the finite element model of axial compression is established. Based on the verified finite element model, the stress mechanism is revealed. Finally, the composite constraint model and bearing capacity calculation method are proposed.

자중압밀지반에 대한 침하예측기법의 적용성 (Applicability of Settlement Prediction Methods to Selfweight Consolidated Ground)

  • 전상현;전진용;유남재
    • 산업기술연구
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    • 제28권B호
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    • pp.91-99
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    • 2008
  • Applicability of existing methods of predicting consolidation settlement was assessed by analyzing results of centrifuge tests modelling self-weight consolidation of soft marine clay. From extensive literature review about self-weight consolidation of soft marine clays located in southern coast in Korea, constitutive relationships of void ratio-effective stress-permeability and typical self-weight consolidation curves with time were obtained by centrifuge model experiments. For the condition of surcharge loading, exact solution of consolidation settlement curve was obtained by Terzaghi's consolidation theory and was compared with the results predicted by currently available methods such as Hyperbolic method, Asaoka's method, Hoshino's method and ${\sqrt{S}}$ method. All methods were found to have their own inherent error to predict final consolidation settlement. From results of analyzing the self-weight consolidation with time by using those methods, Asaoka's method predicted the best. Hyperbolic method predicted relatively well in error range of 2~24% for the case of showing the linearity in the relationship between T vs T/S in the stage of consolidation degree of 60~90 %. For the case of relation curve of T vs $T/S^2$ showing the lineality after the middle stage, error range from Hoshino method was close to those from Hyperbolic method. However, Hoshino method is not able to predict the final settlement in the case of relation curve of T vs $T/S^2$ being horizontal. For the given data about self-weight consolidation after the middle stage, relation curve of T vs T/S from ${\sqrt{S}}$ method shows the better linearity than that of T vs $T/{\sqrt{s}}$ from Hyperbolic method.

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