• 제목/요약/키워드: Strain calculation

검색결과 353건 처리시간 0.022초

Mechanical testing of the behavior of steel 1.7147 at different temperatures

  • Brnic, Josip;Turkalj, Goran;Canadija, Marko
    • Steel and Composite Structures
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    • 제17권5호
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    • pp.549-560
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    • 2014
  • The paper provides the test results and analysis on the behavior of steel 1.7147 at different temperatures. Mechanical uniaxial tests were used to determine mechanical properties, resistance to creep and Charpy impact tests to determine impact energy. Test results are presented in the form of engineering stress-strain diagrams, creep curves as well as numerical data related to impact energy. The results show that the tensile strength has the highest value at room temperature, and the same goes for the yield strength as well as for modulus of elasticity. After room temperature both of mentioned properties decrease with temperature increasing. Some of creep curves were modeled using rheological models and analytical equation. Based on Charpy impact energy an assessment of fracture toughness was made.

냉간 압연에서 압하력 분포 예측 - Part I : 수식 모델 개발 (Prediction of Roll Force Profile in Cold Rolling - Part I : Development of a Mathematical Model)

  • 남승연;황상무
    • 소성∙가공
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    • 제28권4호
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    • pp.190-196
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    • 2019
  • The capability of accurately predicting the roll force profile across a strip in the bite zone in cold rolling process is vital for the calculation of strip profile. This paper presents a derivation of a precision mathematical model for predicting variations in the roll force across a strip in cold rolling. While the derivation is based on an approximate 3-D theory of rolling, this mathematical model also considers plastic deformation in the pre-deformation region which is located close to the roll entrance before the strip enters the bite zone. Finally, the mathematical model is expressed as a boundary value problem, and it predicts the roll force profile and tension profile in addition to lateral plastic strain profile.

Computation of mixed-mode stress intensity factors in functionally graded materials by natural element method

  • Cho, J.R.
    • Steel and Composite Structures
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    • 제31권1호
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    • pp.43-51
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    • 2019
  • This paper is concerned with the numerical calculation of mixed-mode stress intensity factors (SIFs) of 2-D isotropic functionally graded materials (FGMs) by the natural element method (more exactly, Petrov-Galerkin NEM). The spatial variation of elastic modulus in non-homogeneous FGMs is reflected into the modified interaction integral ${\tilde{M}}^{(1,2)}$. The local NEM grid near the crack tip is refined, and the directly approximated strain and stress fields by PG-NEM are enhanced and smoothened by the patch recovery technique. Two numerical examples with the exponentially varying elastic modulus are taken to illustrate the proposed method. The mixed-mode SIFs are parametrically computed with respect to the exponent index in the elastic modulus and external loading and the crack angle and compared with the other reported results. It has been justified from the numerical results that the present method successfully and accurately calculates the mixed-mode stress intensity factors of 2-D non-homogeneous functionally graded materials.

FRP 합성재료에 의하여 구속된 콘크리트의 응력-변형률 응답 예측 (Stress-Strain Responses of Concrete Confined by FRP Composites)

  • 조순호
    • 콘크리트학회논문집
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    • 제19권6호
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    • pp.803-810
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    • 2007
  • FRP 합성재료로 구속된 콘크리트의 응력-변형률 응답을 합리적으로 예측할 수 있는 해석 모델이 제시되었다. 제안된 모델은 하중이 증가함에 따라 점진적으로 발생하는 미세균열에 의한 부피팽창이 미세 재료 구조의 손상을 나타내는 중요한 척도이며, 이에 손상 정도에 따라 하중 지지 능력을 일관되게 산정할 수 있다는 기본 개념에 근거한다. 이를 위하여 제안 모델은 면적 변형률 및 공극의 함수로 표시된 탄성계수, 팽창 콘크리트와 구속 매체의 상호작용을 나타내는 에너지 평형식, 변화하는 구속력 및 점증 계산 논리를 포함한다. 따라서 실험으로부터 유도된 팽창비 관계식으로부터 횡방향 혹은 부피팽창변형률을 산정하는 기존의 해석 모델과는 달리 역학적 거동 및 에너지 평형식으로부터 연속적으로 변화하는 횡방향 변형률을 산정한다. 구속된 콘크리트의 전체 응답을 예측할 수 있는 기존의 여러 해석 모델에 대하여 검토하였으며, 특히 부피 팽창을 고려하는 방법에 초점을 맞추어 토의하였다. 제안된 모델 및 기존 Samaan의 2선식 모델을 사용하여 실험 결과를 예측한 결과, 만족할 만한 범위 내에서 일치를 나타냈으나, Samaan의 2선식 모델은 부피 팽창 거동을 위하여 단지 초기 포아송비와 최종 수렴 팽창변화율 만을 고려하기 때문에 횡방향 변형률 응답을 예측하는 데는 한계가 있는 것으로 판단된다. 제안된 모델은 역학적 거동에 근거하여 다양한 관련 응답을 산정하므로 다른 분야에도 쉽게 적용할 수 있다.

맥파 전달 속도(PWV) 측정을 위한 특징점 검출 알고리즘 개발 (Development of Feature Points Detection Algorithm for Measuring of Pulse Wave Velocity)

  • 최정현;조욱현;박준호;김남훈;성향숙;조종만
    • 센서학회지
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    • 제20권5호
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    • pp.343-350
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    • 2011
  • The compliance and stiffness of artery are closely related with disease of arteries. Pulse wave velocity(PWV) in the blood vessel is a basic and common parameter in the hemodynamics of blood pressure and blood flow wave traveling in arteries because the PWV is affected directly by the conditions of blood vessels. However, there is no standardized method to measure the PWV and it is difficult to measure. The conventional PWV measurement has being done by manual calculation of the pulse wave transmission time between coronary arterial proximal and distal points on a strip chart on which the pulse wave and ECG signal are recorded. In this study, a pressure sensor consisting of strain gauges is used to measure the blood pressure of arteries in invasive method and regular ECG electrodes are used to record the ECG signal. The R-peak point of ECG is extracted by using a reference level and time windowing technique and the ascending starting point of blood pressure is determined by using differentiation of the blood pressure signal and time windowing technique. The algorithm proposed in this study, which can measure PWV automatically, shows robust and good results in the extraction of feature points and calculation of PWV.

응력변형을 겪는 Si 반전층에서 전자 이동도 모델 (Electron Mobility Model in Strained Si Inversion Layer)

  • 박일수;원태영
    • 대한전자공학회논문지SD
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    • 제42권3호
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    • pp.9-16
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    • 2005
  • [ $Si_{1-x}Ge_x$ ] 위의 Si 반전층에서의 이동도를 반전층에서의 양자현상(버금띠 에너지와 파동함수)과 완화시간어림셈을 고려하여 계산하였다. 반전층에서의 양자현상은 슈뢰딩거 방정식과 포아슨 방정식을 자체 모순없이 계산하여 얻었다 완화시간은 밸리내 산란과 밸리사이 산란을 고려하여 계산하였다. 그 결과 Ge 함량이 증가됨에 따라 이동도가 증가되는 이유는 4-폴드 밸리에 존재하는 전자의 이동도보다 2-폴드 밸리에 존재하는 전자의 이동도가 약 3배 정도 크며 대부분의 전자가 밸리의 분리에 의해 2-폴드 밸리에 존재하기 때문이라는 것을 알 수 있었다. 한편, 포논 산란만을 고려한 이동도를 실험치와 일치시키기 위하여 전체 이동도에는 반전층 계면에서의 산란과 쿨롱 산란을 포함시켰다. 계산된 전계, 온도, 그리고 Ge 함량에 의존하는 이동도는 실험치와 근접하도록 변형포텐셜을 설정하였으며 정확한 결과를 위해서는 Si 에너지띠의 비포물성을 고려해야함을 확인하였다.

PCB Handler의 과도응답해석 및 충격계수 산출 연구 (A Study on the Transient Response and Impact Coefficient Calculation of PCB Handler)

  • 이병화;권순기;고만수
    • 디지털융복합연구
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    • 제15권7호
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    • pp.223-229
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    • 2017
  • 유럽, 미국을 비롯한 일본 등 선진 업계에서는 오랜 기간의 시험을 거쳐 충격계수의 시험결과를 보유하고 있으며, 장비를 설계할 때 이를 적용하여 구조물의 안정성을 확보하고 있다. 그러나 국내 산업체의 실정으로는 실제 구조물이 받는 여러 가지 동적인 외력에 의한 영향을 시험을 통해 충격계수를 확보하기에는 많은 비용과 시간이 소요되기 때문에 선진업체에서 제공하는 충격계수를 활용하여 장비를 설계하고 있다. 본 논문에서는 유한요소해석 프로그램인 NX/NASTRAN을 이용하여 반도체 검사 장비인 PCB Handler의 정하중해석과 충격하중에 대한 과도응답 해석을 진행하고, 변위 결과를 비교하는 방법으로 충격계수를 산출하였다. 충격계수 산출 방법은 일본 구조 구격에서 사용하고 있는 방법을 적용하였으며, PCB Handler가 검사를 위해 급출발 또는 급정지 시 충격계수는 1.27로 산출되었다. 해석으로 얻어낸 충격계수는 향후 장비의 구조개선과 기존장비를 기반으로 제품 개발 시 사용할 수 있어 업계에 도움이 될 것으로 판단된다.

A framework for modelling mechanical behavior of surrounding rocks of underground openings under seismic load

  • Zhang, Yuting;Ding, Xiuli;Huang, Shuling;Pei, Qitao;Wu, Yongjin
    • Earthquakes and Structures
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    • 제13권6호
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    • pp.519-529
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    • 2017
  • The surrounding rocks of underground openings are natural materials and their mechanical behavior under seismic load is different from traditional man-made materials. This paper proposes a framework to comprehensively model the mechanical behavior of surrounding rocks. Firstly, the effects of seismic load on the surrounding rocks are summarized. Three mechanical effects and the mechanism, including the strengthening effect, the degradation effect, and the relaxation effect, are detailed, respectively. Then, the framework for modelling the mechanical behavior of surrounding rocks are outlined. The strain-dependent characteristics of rocks under seismic load is considered to model the strengthening effect. The damage concept under cyclic load is introduced to model the degradation effect. The quantitative relationship between the damage coefficient and the relaxation zone is established to model the relaxation effect. The major effects caused by seismic load, in this way, are all considered in the proposed framework. Afterwards, an independently developed 3D dynamic FEM analysis code is adopted to include the algorithms and models of the framework. Finally, the proposed framework is illustrated with its application to an underground opening subjected to earthquake impact. The calculation results and post-earthquake survey conclusions are seen to agree well, indicating the effectiveness of the proposed framework. Based on the numerical calculation results, post-earthquake reinforcement measures are suggested.

Computer modeling of elastoplastic stress state of fibrous composites with hole

  • Polatov, Askhad M.;Ikramov, Akhmat M.;Khaldjigitov, Abduvali A.
    • Coupled systems mechanics
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    • 제8권4호
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    • pp.299-313
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    • 2019
  • The paper represents computer modeling of the deformed state of physically nonlinear transversally isotropic bodies with hole. In order to describe the anisotropy of the mechanical properties of transversally-isotropic materials a structurally phenomenological model has been used. This model allows representing the initial material in the form of the coupled isotropic materials: the basic material (binder) considered from the positions of continuum mechanics and the fiber material oriented along the anisotropy direction of the original material. It is assumed that the fibers perceive only the axial tensile-compression forces and are deformed together with the base material. To solve the problems of the theory of plasticity, simplified theories of small elastoplastic deformation have been used for a transversely-isotropic body, developed by B.E. Pobedrya. A simplified theory allows applying the theory of small elastoplastic deformations to solve specific applied problems, since in this case the fibrous medium is replaced by an equivalent transversely isotropic medium with effective mechanical parameters. The essence of simplification is that with simple stretching of composite in direction of the transversal isotropy axis and in direction perpendicular to it, plastic deformations do not arise. As a result, the intensity of stresses and deformations both along the principal axis of the transversal isotropy and along the perpendicular plane of isotropy is determined separately. The representation of the fibrous composite in the form of a homogeneous anisotropic material with effective mechanical parameters allows for a sufficiently accurate calculation of stresses and strains. The calculation is carried out under different loading conditions, keeping in mind that both sizes characterizing the fibrous material fiber thickness and the gap between the fibers-are several orders smaller than the radius of the hole. Based on the simplified theory and the finite element method, a computer model of nonlinear deformation of fibrous composites is constructed. For carrying out computational experiments, a specialized software package was developed. The effect of hole configuration on the distribution of deformation and stress fields in the vicinity of concentrators was investigated.

Mechanical behaviour of composite columns composed of RAC-filled square steel tube and profile steel under eccentric compression loads

  • Ma, Hui;Xi, Jiacheng;Zhao, Yaoli;Dong, Jikun
    • Steel and Composite Structures
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    • 제38권1호
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    • pp.103-120
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    • 2021
  • This research examines the eccentric compression performance of composite columns composed of recycled aggregate concrete (RAC)-filled square steel tube and profile steel. A total of 17 specimens on the composite columns with different recycled coarse aggregate (RCA) replacement percentage, RAC strength, width to thickness ratio of square steel tube, profile steel ratio, eccentricity and slenderness ratio were subjected to eccentric compression tests. The failure process and characteristic of specimens under eccentric compression loading were observed in detail. The load-lateral deflection curves, load-train curves and strain distribution on the cross section of the composite columns were also obtained and described on the basis of test data. Results corroborate that the failure characteristics and modes of the specimens with different design parameters were basically similar under eccentric compression loads. The compression side of square steel tube yields first, followed by the compression side of profile steel. Finally, the RAC in the columns was crushed and the apparent local bulging of square steel tube was also observed, which meant that the composite column was damaged and failed. The composite columns under eccentric compression loading suffered from typical bending failure. Moreover, the eccentric bearing capacity and deformation of the specimens decreased as the RCA replacement percentage and width to thickness ratio of square steel tube increased, respectively. Slenderness ratio and eccentricity had a significantly adverse effect on the eccentric compression performance of composite columns. But overall, the composite columns generally had high-bearing capacity and good deformation. Meanwhile, the mechanism of the composite columns under eccentric compression loads was also analysed in detail, and the calculation formulas on the eccentric compression capacity of composite columns were proposed via the limit equilibrium analysis method. The calculation results of the eccentric compression capacity of columns are consistent with the test results, which verify the validity of the formulas, and the conclusions can serve as references for the engineering application of this kind of composite columns.