• 제목/요약/키워드: Constitutive laws

검색결과 73건 처리시간 0.026초

유한유쇼법을 이용한 미소절삭기구의 절삭인자 규명에 관한 연구 (A study on the effect of cutting parameters of micro metal cutting mechanism using finite element method)

  • 황준;남궁석
    • 한국정밀공학회지
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    • 제10권4호
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    • pp.206-215
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    • 1993
  • The finite element method is applied to analyze the mechanism of metal cutting, especially micro metal cutting. This paper introduces some effects, such as constitutive deformation laws of workpiece material, friction of tool-chip contact interfaces, tool rake angle and also simulate the cutting process, chip formation and geometry, tool-chip contact, reaction force of tool. Under the usual plane strain assumption, quasi-static analysis were performed with variation of tool-chip interface friction coefficients and tool rake angles. In this analysis, cutting speed, cutting depth set to 8m/sec, 0.02mm, respectively. Some cutting parameters are affected to cutting force, plastic deformation of chip, shear plane angle, chip thickness and tool-chip contact length and reaction forces on tool. Several aspects of the metal cutting process predicted by the finite element analysis provide information about tool shape design and optimal cutting conditions.

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비선형구성식을 이용한 기초지반의 거동해석 (Analysis on the Behaviour of Foundation Using the Non-Linear Constitutive Laws)

  • 정진섭
    • 대한토목학회논문집
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    • 제13권2호
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    • pp.253-265
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    • 1993
  • 본 연구는 Lade에 의해서 제안된 비선형구성모델을 이용하여 지반거동을 해석하기 위한 수치해석 방법을 제시하고자 한것이다. 그 첫 시도로서 축대칭조건과 평면변형율조건의 비선형 경계치 문제를 해석하기 위하여 변위법을 이용한 유한요소 프로그램을 개발하였다. 모델의 매개변수를 결정하기 위한 시험과 모형기초지반의 시험재료는 백마강모래를 사용하였다. 그리고 실내시험 자료로 부터 비선형구성모델 의 매개변수를 결정할 때 컴퓨터 프로그램을 개발하여 사용하였다. 구성 모델의 정도를 검증하기 위하여 개발된 유한요소프로그램을 사용한 예측결과를 매개변수 결정에 사용된 실험 결과뿐만 아니라 결정에 사용되지 아니한 실험결과와도 비교하였다. 검증에 사용된 시험은 다음과 같다 ; (1) 등방압축팽창시험, (2) 구속압력을 달리한 배수삼축압축시험 (3) 모형기초지반의 재하시험, 이상의 시험과 수치해석결과를 비교하여 비선형구성모델과 유한요소해석프로그램의 정도를 확인하고 평면변형율조건에 있는 2차원모형기초지반의 거동 특성을 검토하였다.

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충격하중(衝擊荷重)을 받는 구조물(構造物)의 소성(塑性)모델에 따른 거동분석(擧動分析) (A Plastic Analysis of Structures under the Impact Loading)

  • 안병기;이상호
    • 대한토목학회논문집
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    • 제12권2호
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    • pp.21-33
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    • 1992
  • 충격하중을 받는 구조물은 초고압에서 부터 저압까지 다양한 압력을 짧은 시간에 경험하게 된다. 따라서 이들 구조물을 해석하기 위해서는 실제 물체의 재료특성을 표현할 수 있는 구성 법칙(constitutive law)이 필요하게 된다. 본 연구에서는 압력 부종속모델(pressure independent model)인 Von-Mises 모델과 압력 종속모델(pressure dependent model)인 Drucker-Prager 모델을 사용하여 충격과 폭발 현상시 발생하는 응력파의 전파과정(propagation process)을 재료특성에 따라 비교 분석하였다. 응력파의 전파과정을 연구하기 위한 지배 방정식(governing equation)으로서는 물체에 종속되어 있는 라그란지안 좌표계(lagrangian coordinate system)로 표현된 운동량과 질량보존(conservation of momentum and mass)법칙을 사용하였으며 또한 충격전면(shock front)에 연속성을 부여하기 위해 인공점성(artificial viscosity)을 운동량 보존식에 첨가하였다. 주요 방정식을 풀기 위한 수치해석법으로는 시간과 공간 좌표계로 구성된 유한차분법(finite difference method)을 사용하였으며 소성변형률을 구하기 위한 소성이론으로서는 Associated normality flow rule을 사용하였다.

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A parametric shear constitutive law for reinforced concrete deep beams based on multiple linear regression model

  • Hashemi, Seyed Shaker;Sadeghi, Kabir;Javidi, Saeid;Malakooti, Mahmoud
    • Advances in concrete construction
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    • 제8권4호
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    • pp.285-294
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    • 2019
  • In the present paper, the fiber theory has been employed to model the reinforced concrete (RC) deep beams (DBs) considering the reinforcing steel bar-concrete interaction. To simulate numerically the behavior of materials, the uniaxial materials' constitutive laws have been employed for reinforcements and concrete and the bond stress-slip between the reinforcing steel bars and surrounding concrete are taken into account. Because of the high sensitivity of DBs to shear deformations, the Timoshenko beam theory has been applied. The shear stress-strain (S-SS) relationship has been defined by the modified compression field theory (MCFT) model. By modeling about 300 RC panels and employing a produced numerical database, a study has been carried out to show the sensitivity of the MCFT model. This is performed based on the multiple linear regression (MLR) models. The results of this research also illustrate how different parameters such as characteristic compressive strength of concrete, yield strength of reinforcements and the percentages of reinforcements in different directions get involved in the shear behavior of RC panels without applying complex theories. Based on the results obtained from the analysis of the MCFT S-SS model, a relatively simplified numerical S-SS model has been proposed. Application of the proposed S-SS model in modeling and analyzing the considered samples indicates that there is a good agreement between the simulated and the experimental test results. The comparison between the proposed S-SS model and the MCFT model indicates that in addition to the advantage of better accuracy, the main advantage of the proposed method is simplicity in application.

급속운동을 하는 입자물질의 동적거동 (Dynamic Behaviour of Granular Meterial during the Rapid Motion)

  • 황학
    • 한국지반공학회지:지반
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    • 제10권4호
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    • pp.103-118
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    • 1994
  • 입자물질의 빠른 움직임을 미시적으로 관찰하고 이를 연속체이론에 적용하였다. 두 입자의 상호충돌현상에서 두 종류의 시간 즉 미행시간과 접촉시간을 나누었다. 전자는 시간에 따라 변하는 움직임과 체적의 변화를 나타내며, 후자는 두 입자가 접촉시에 걸린 시간을 뜻하며 이 크기는 입자의 탄성성질을 나타낸다. 이러한 두 종류의 시간을 이용하여 4개의 상태변수 즉 압축응력, 점성, 에너지전달률 그리고 에너지손실률로서 동력학적 구조거동식을 세웠다. 연속체이론의 질량, 운동량 및 에너지방정식을 위의 상태변수로서 표기하고 이를 다시 두 가지의 모델에 적용한 결과 탄성성질로 인한 이완 및 에너지 흡수현상이 나타났다.

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일반 크리프 거동을 고려한 균열 구조물 C*-적분 예측 (Estimation of C*-Integral for Defective Components with General Creep-Deformation Behaviors)

  • 김영진;김진수;김윤재
    • 대한기계학회논문집A
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    • 제26권5호
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    • pp.795-802
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    • 2002
  • For assessing significance of a defect in a component operating at high (creeping) temperatures, accurate estimation of fracture mechanics parameter, $C^{*}$-integral, is essential. Although the J estimation equation in the GE/EPRl handbook can be used to estimate the $C^{*}$-integral when the creep -deformation behavior can be characterized by the power law creep, such power law creep behavior is a very poor approximation for typical creep behaviors of most materials. Accordingly there can be a significant error in the $C^{*}$-integral. To overcome problems associated with GE/EPRl approach, the reference stress approach has been proposed, but the results can be sometimes unduly conservative. In this paper, a new method to estimate the $C^{*}$-integral for deflective components is proposed. This method improves the accuracy of the reference stress approach significantly. The proposed calculations are then validated against elastic -creep finite element (FE) analyses for four different cracked geometries following various creep -deformation constitutive laws. Comparison of the FE $C^{*}$-integral values with those calculated from the proposed method shows good agreements.greements.

An analytical model of layered continuous beams with partial interaction

  • Schnabl, Simon;Planinc, Igor;Saje, Miran;Cas, Bojan;Turk, Goran
    • Structural Engineering and Mechanics
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    • 제22권3호
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    • pp.263-278
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    • 2006
  • Starting with the geometrically non-linear formulation and the subsequent linearization, this paper presents a consistent formulation of the exact mechanical analysis of geometrically and materially linear three-layer continuous planar beams. Each layer of the beam is described by the geometrically linear beam theory. Constitutive laws of layer materials and relationships between interlayer slips and shear stresses at the interface are assumed to be linear elastic. The formulation is first applied in the analysis of a three-layer simply supported beam. The results are compared to those of Goodman and Popov (1968) and to those obtained from the formulation of the European code for timber structures, Eurocode 5 (1993). Comparisons show that the present and the Goodman and Popov (1968) results agree completely, while the Eurocode 5 (1993) results differ to a certain degree. Next, the analytical solution is used in formulating a general procedure for the analysis of layered continuous beams. The applications show the qualitative and quantitative effects of the layer and the interlayer slip stiffnesses on internal forces, stresses and deflections of composite continuous beams.

Shear strength model for reinforced concrete corbels based on panel response

  • Massone, Leonardo M.;Alvarez, Julio E.
    • Earthquakes and Structures
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    • 제11권4호
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    • pp.723-740
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    • 2016
  • Reinforced concrete corbels are generally used to transfer loads within a structural system, such as buildings, bridges, and facilities in general. They commonly present low aspect ratio, requiring an accurate model for shear strength prediction in order to promote flexural behavior. The model described here, originally developed for walls, was adapted for corbels. The model is based on a reinforced concrete panel, described by constitutive laws for concrete and steel and applied in a fixed direction. Equilibrium in the orthogonal direction to the shearing force allows for the estimation of the shear stress versus strain response. The original model yielded conservative results with important scatter, thus various modifications were implemented in order to improve strength predictions: 1) recalibration of the strut (crack) direction, capturing the absence of transverse reinforcement and axial load in most corbels, 2) inclusion of main (boundary) reinforcement in the equilibrium equation, capturing its participation in the mechanism, and 3) decrease in aspect ratio by considering the width of the loading plate in the formulation. To analyze the behavior of the theoretical model, a database of 109 specimens available in the literature was collected. The model yielded an average model-to-test shear strength ratio of 0.98 and a coefficient of variation of 0.16, showing also that most test variables are well captured with the model, and providing better results than the original model. The model strength prediction is compared with other models in the literature, resulting in one of the most accurate estimates.

Flexural behavior of concrete beams reinforced with different types of fibers

  • Kh., Hind M.;Ozakca, Mustafa;Ekmekyapar, Talha;Kh., Abdolbaqi M.
    • Computers and Concrete
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    • 제18권5호
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    • pp.999-1018
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    • 2016
  • Enhanced tensile properties of fiber reinforced concrete make it suitable for strengthening of reinforced concrete elements due to their superior corrosion resistance and high tensile strength properties. Recently, the use of fibers as strengthening material has increased motivating the development of numerical tools for the design of this type of intervention technique. This paper presents numerical analysis results carried out on a set of concrete beams reinforced with short fibers. To this purpose, a database of experimental results was collected from an available literature. A reliable and simple three-dimensional Finite Element (FE) model was defined. The linear and nonlinear behavior of all materials was adequately modeled by employing appropriate constitutive laws in the numerical simulations. To simulate the fiber reinforced concrete cracking tensile behavior an approach grounded on the solid basis of micromechanics was used. The results reveal that the developed models can accurately capture the performance and predict the load-carrying capacity of such reinforced concrete members. Furthermore, a parametric study is conducted using the validated models to investigate the effect of fiber material type, fiber volume fraction, and concrete compressive strength on the performance of concrete beams.

Effect of dynamic absorber on the nonlinear vibration of SFG cylindrical shell

  • Foroutan, Kamran;Ahmadi, Habib
    • Advances in aircraft and spacecraft science
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    • 제7권4호
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    • pp.291-308
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    • 2020
  • In this paper, a numerical method is utilized to study the effect of a new vibration absorber on vibration response of the stiffened functionally graded (SFG) cylindrical shell under a couple of axial and transverse compressions. The material composition of the stiffeners and shell is continuously changed through the thickness. The vibration absorber consists of a mass-spring-damper system which is connected to the ground utilizing a linear local damper. To simplify, the spring element of the vibration absorber is called global potential. The von Kármán strain-displacement kinematic nonlinearity is employed in the constitutive laws of the shell and stiffeners. To consider the stiffeners in the model, the smeared stiffener technique is used. After obtaining the governing equations, the Galerkin method is applied to discretize the nonlinear dynamic equation of system. In order to find the nonlinear vibration responses, the fourth order Runge-Kutta method is utilized. The influence of the stiffeners, the dynamic absorber parameters on the vibration behavior of the SFG cylindrical shell is investigated. Also, the influences of material parameters of the system on the vibration response are examined.