• 제목/요약/키워드: Constitutive models

검색결과 390건 처리시간 0.023초

순수전단이 작용하는 RC Panel의 응력-변형률 비선형해석 (Nonlinear Analysis of Stress-strain for RC Panel Subjected to Shear)

  • 차영규;김학수
    • 한국구조물진단유지관리공학회 논문집
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    • 제14권1호
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    • pp.175-181
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    • 2010
  • 평형트러스모델, Mohr적합트러스모델, 그리고 연성트러스모델은 회전각에 기초하기 때문에 회전각모델이라 불리 운다. 이러한 회전각모델들은 콘크리트기여도를 예측할 수 없는 단점이 있다. 콘크리트 기여 성분을 계산할 수 있는 MCFT(Modified Compression Field Theory)나 RA-STM(Rotating Angle-Softening Truss Model) 같은 최근 트러스모델(Modern Truss Model, MTM)은 균열이 발생한 철근콘크리트요소를 연속체 재료로 취급한다. 또한 MTM은 평형조건과 적합조건 그리고 2축 상태에서 콘크리트의 연성 응력-변형률 관계를 이용하여 비선형해석을 수행하고 있다. 본 연구는 전단응력-변형률의 전체 이력 상태를 모두 계산하지 않고, 철근항복과 스트럿 압괴(crushing failure) 파괴기준을 이용하여 해를 찾는 방법으로 수렴속도를 개선한 것이다. 이 알고리즘을 이용하여 Hsu가 실험한 9개의 전단응력-변형률 자료를 분석하였다.

Damage and vibrations of nuclear power plant buildings subjected to aircraft crash part II: Numerical simulations

  • Li, Z.R.;Li, Z.C.;Dong, Z.F.;Huang, T.;Lu, Y.G.;Rong, J.L.;Wu, H.
    • Nuclear Engineering and Technology
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    • 제53권9호
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    • pp.3085-3099
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    • 2021
  • Investigations of large commercial aircraft impact effect on nuclear power plant (NPP) buildings have been drawing extensive attentions, particularly after the 9/11 event, and this paper aims to numerically assess the damage and vibrations of NPP buildings subjected to aircrafts crash. In Part I of present paper, two shots of reduce-scaled model test of aircraft impact on NPP were conducted based on the large rocket sled loading test platform. In the present part, the numerical simulations of both scaled and prototype aircraft impact on NPP buildings are further performed by adopting the commercial program LS-DYNA. Firstly, the refined finite element (FE) models of both scaled aircraft and NPP models in Part I are established, and the model impact test is numerically simulated. The validities of the adopted numerical algorithm, constitutive model and the corresponding parameters are verified based on the experimental NPP model damages and accelerations. Then, the refined simulations of prototype A380 aircraft impact on a hypothetical NPP building are further carried out. It indicates that the NPP building can totally withstand the impact of A380 at a velocity of 150 m/s, while the accompanied intensive vibrations may still lead to different levels of damage on the nuclear related equipment. Referring to the guideline NEI07-13, a maximum acceleration contour is plotted and the shock damage propagation distances under aircraft impact are assessed, which indicates that the nuclear equipment located within 11.5 m from the impact point may endure malfunction. Finally, by respectively considering the rigid and deformable impacts mainly induced by aircraft engine and fuselage, an improved Riera function is proposed to predict the impact force of aircraft A380.

마그네슘 합금 판재의 비선형 항복.경화거동 모델링 (Constitutive Modeling of Magnesium Alloy Sheets)

  • 이명규;;정관수;김헌영
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2007년도 춘계학술대회 논문집
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    • pp.298-301
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    • 2007
  • Magnesium alloy sheets have unique mechanical properties such as high in-plane anisotropy/asymmetry of yield stress and hardening response. The unusual mechanical behavior of magnesium alloys has been understood by the limited symmetry crystal structure of HCP metals or by deformation twinning. In the present study, the continuum plasticity models considering the unusual plastic behavior of magnesium alloy sheet were derived for a finite element analysis. A new hardening law based on two-surface model was developed to consider the general stress-strain response of metal sheets such as Bauschinger effect, transient behavior and the unusual asymmetry. Three deformation modes observed during the continuous tension/compression tests were mathematically formulated with simplified relations between the state of deformation and their histories. In terms of the anisotropy and asymmetry of the initial yield stress, the Drucker-Prager's pressure dependent yield surface was modified to include the anisotropy of magnesium alloys.

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개선된 탄.소성 구성모델을 이용한 사질토의 응력-변형률 거동예측 (A Prediction of Behavior of Granular Soils Based on the Advanced Elasto Plastic Model)

  • 박병기;임성철;이강일
    • 한국지반공학회지:지반
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    • 제11권3호
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    • pp.81-90
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    • 1995
  • 본문은 현재 제안되고 있는 Lade모델을 분석하여 같은 관점에서 Lade모델과는 다른 개선된 탄.소성 모델을 제안하고자 한 것이다. 이 제안모델의 소성포텐셜함수(gp)는 항복함수(fp)에 다른 응력불변량(I1)을 부가시킨 형태로 제안하였으며, 이를 교정함수(Correction Function)라고 정의하여 전단항복면을 결정할 때 소성포텐셜함수가 독립적으로 기능하여 구성식의 확장이나 변화에 대응 하도록 하였다. 본 연구는 일종의 해석적 연구이므로 그 결과는 기존의 연구이론과 비교되어야 하므로 Sacramento River Sand의 시험결과와 백마강모래의 시험결과의 매개변수를 이용하여 Lade모델과 제안모델의 결과를 상호비교 하여 검증을 시도 하였다. 결과적으로 본 제안모델은 더 정확한 응력-변형 관계의 예측이 가능한 구성식으로의 전개가 가능할 것으로 판단된다.

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Large-scale and small-scale self-excited torsional vibrations of homogeneous and sectional drill strings

  • Gulyayev, V.I.;Glushakova, O.V.
    • Interaction and multiscale mechanics
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    • 제4권4호
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    • pp.291-311
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    • 2011
  • To simulate the self excited torsional vibrations of rotating drill strings (DSs) in vertical bore-holes, the nonlinear wave models of homogeneous and sectional torsional pendulums are formulated. The stated problem is shown to be of singularly perturbed type because the coefficient appearing before the second derivative of the constitutive nonlinear differential equation is small. The diapasons ${\omega}_b\leq{\omega}\leq{\omega}_l$ of angular velocity ${\omega}$ of the DS rotation are found, where the torsional auto-oscillations (of limit cycles) of the DS bit are generated. The variation of the limit cycle states, i.e. birth (${\omega}={\omega}_b$), evolution (${\omega}_b<{\omega}<{\omega}_l$) and loss (${\omega}={\omega}_l$), with the increase in angular velocity ${\omega}$ is analyzed. It is observed that firstly, at birth state of bifurcation of the limit cycle, the auto-oscillation generated proceeds in the regime of fast and slow motions (multiscale motion) with very small amplitude and it has a relaxation mode with nearly discontinuous angular velocities of elastic twisting. The vibration amplitude increases as ${\omega}$ increases, and then it decreases as ${\omega}$ approaches ${\omega}_l$. Sectional drill strings are also considered, and the conditions of the solution at the point of the upper and lower section joints are deduced. Besides, the peculiarities of the auto-oscillations of the sectional DSs are discussed.

Size dependent axial free and forced vibration of carbon nanotube via different rod models

  • Khosravi, Farshad;Simyari, Mahdi;Hosseini, Seyed A.;Tounsi, Abdelouahed
    • Advances in nano research
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    • 제9권3호
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    • pp.157-172
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    • 2020
  • The aim of this present research is the effect of the higher-order terms of the governing equation on the forced longitudinal vibration of a nanorod model and making comparisons of the results with classical nonlocal elasticity theory. For this purpose, the free axial vibration along with forced one under the two various linear and harmonic axial concentrated forces in zigzag Single-Walled Carbon Nanotube (SWCNT) are analyzed dynamically. Three various theories containing the classical theory, which is called Eringen's nonlocal elasticity, along with Rayleigh and Bishop theories (higher-order theories) are established to justify the nonlocal behavior of constitutive relations. The governing equation and the related boundary conditions are derived from Hamilton's principle. The assumed modes method is adopted to solve the equation of motion. For the free axial vibration, the natural frequencies are calculated for the various values of the nonlocal parameter only based on Eringen's theory. The effects of the nonlocal parameter, thickness, length, and ratio of the excitation frequency to the natural frequency over time in dimensional and non-dimensional axial displacements are investigated for the first time.

삽입된 세라믹 볼이 금속분말성형체의 치밀화에 미치는 영향 (Effect of Ceramic Ball Inclusion on Densification of Metal Powder Compact)

  • 박환;유요한;김기태
    • 대한기계학회논문집A
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    • 제24권1호
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    • pp.29-37
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    • 2000
  • The effect of a ceramic ball inclusion on densification behavior of a metal powder compact was investigated under cold isostatic pressing, pressureless sintering and hot isostatic pressing. To simulate those processes, proper constitutive models were implemented into a finite element program (ABAQUS). Measured density distributions of metal powder compacts were also compared with finite element results and showed the same trend with simulated results. Residual stress distributions were calculated by finite element analysis to study the effect of ceramic ball inclusions with different thermal expansion coefficients. The higher residual stress was observed in a metal powder compact when the difference between thermal expansion coefficients for a ceramic ball and metal powder became larger. Samples produced by Wing showed more uniform density distributions and lower residual stresses compared to those by sintering after cold isostatic pressing. For various sizes of ceramic ball inclusions, densification and deformation of powder compacts were also studied during hot isostatic pressing.

냉간 조합압축과 상압소결에 의한 세라믹 분말의 정밀정형과 유한요소해석 (Near-Net-Shape Forming and Finite Element Analysis for Ceramic Powder Under Cold Combination Pressing and Pressureless Sintering)

  • 김홍기;이형만;김기태
    • 대한기계학회논문집A
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    • 제24권2호
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    • pp.526-534
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    • 2000
  • Near-net-shape forming of zirconia powder was investigated under the combination of cold die and isostatic pressing and pressureless sintering. A novel combination pressing technique, i.e., die com paction under cold isostatic pressing, allowed to produce a complex shaped ceramic powder compact with the controlled dimensions and relatively uniform density distributions. The constitutive models proposed by Kim and co-workers for densification of ceramic powder under cold compaction and high temperature were implemented into a finite element program (ABAQUS). Experimental data for relative density distributions and deformations of zirconia powder compacts produced by cold combination pressing and pressureless sintering were compared with finite element results. Finite element results agreed well with experimental data.

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.

Behavior of circular concrete-filled steel tubular columns under pure torsion

  • Ding, Fa-xing;Fu, Qiang;Wen, Bing;Zhou, Qi-shi;Liu, Xue-mei
    • Steel and Composite Structures
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    • 제26권4호
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    • pp.501-511
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    • 2018
  • Concrete-filled steel tubular (CFT) columns are commonly used in engineering structures and always subjected to torsion in practice. This paper is thus devoted to investigate the mechanical behavior of circular CFT columns under pure torsion.3D finite element models based on reasonable material constitutive relation were established for analyzing the load-strain ($T-{\gamma}$) curves of circular CFT columns under pure torsion. The numerical simulation indicated that local bulking of the steel tube in CFT columns was prevented and the shear strength and ductility of the core concrete were significantly improved due to the confinement effect between the steel tube and the core concrete. Based on the results, formulas to predict the torsional ultimate bearing capacity of circular CFT columns were proposed with satisfactory correspondence with experimental results. Besides, formulas of composite shear stiffness and the overall process of the $T-{\gamma}$ relation of circular CFT columns under pure torsion were proposed.