• Title/Summary/Keyword: normalized strain

Search Result 115, Processing Time 0.025 seconds

Study on Chevron Crack Occurring in a 4-stage Open Cold Extrusion Process by Finite Element Method (유한요소법을 이용한 4단 개방냉간압출시 발생하는 셰브론 크랙에 관한 연구)

  • Hwang, H.S.;Lee, Y.S.;Joun, M.S.
    • Transactions of Materials Processing
    • /
    • v.26 no.4
    • /
    • pp.210-215
    • /
    • 2017
  • In this paper, utilizing the theory of ductile fracture a chevron crack in a 4-stage open cold extrusion process is predicted by the finite element methods and then compared with previous experiments. The normalized Cockcroft-Latham damage model is employed and the material is identified using a tensile test based material identification technique that gives fracture information as well as flow stress at large strain. A large difference between the predicted cracks and actual experiments is observed, specifically narrower width and greater maximum height of the crack. This reveals the limitation of this approach based on the conventional theory of ductile fracture. Based on the observations and the related criticisms, a new approach for predicting the chevron crack is proposed, suggesting that either the critical damage should not be a fixed material constant, or that the conventional fracture theory should be considered with the effects of embrittlement due to accumulated plastic deformation while the duration of crack generation and plastic deformation should be reduced.

Extensible Elastica Solutions on the Large Deflection of Fiber Cantilever with Circular Wavy Crimp (I) - Derivation of Models and Their Solutions-

  • Jung Jae Ho;Kang Tae Jin
    • Fibers and Polymers
    • /
    • v.6 no.1
    • /
    • pp.55-65
    • /
    • 2005
  • Extensible elastica solutions of two-dimensional deflection of crimped fiber cantilever of circular wavy crimp were obtained for one end clamped boundary under concentrated, inclined and dead tip load Fiber was also regarded as a linear elastic material. Crimp was described as a combination of semicircular arcs smoothly connected with each other having con­stant curvature of all the same magnitude and alternative sign. Also the inclined load direction was taken into account. The solutions were expressed as the recursive forms of integrals in two different cases, which can also be transformed to elliptic integrals respectively. Comparing the data with inextensible ones was carried out. Consequently in the solution, the normal strain of neutral axis is expressed in terms of cross-sectional area, second moment of area and normalized load parameter. Examples of the circular cross-sectioned fiber are presented. As a result, the differences of normalized load between inexten­sible and extensible elastica solutions when the radius ratio becomes 0.1 were maximum $\Lambda$ = 0.1.

Nonlinear vibration analysis of carbon nanotube reinforced composite plane structures

  • Rezaiee-Pajand, Mohammad;Masoodi, Amir R.;Rajabzadeh-Safaei, Niloofar
    • Steel and Composite Structures
    • /
    • v.30 no.6
    • /
    • pp.493-516
    • /
    • 2019
  • This paper is dedicated to nonlinear static and free vibration analysis of Uniform Distributed Carbon Nanotube Reinforced Composite (UD-CNTRC) structures under in-plane loading. The authors have suggested an efficient six-node triangular element. Mixed Interpolation of Tensorial Components (MITC) approach is employed to alleviate the membrane locking phenomena. Moreover, the behavior of the well-known LST element is considerably improved by applying an additional linear interpolation on the strain fields. Based on the rule of mixture, the properties of CNTRC are obtained. In this study, only the uniform distributed CNTs are employed through the thickness direction of element. To achieve the natural frequencies and shape modes, the eigenvalue problem is also solved. Using Total Lagrangian Principles, large amplitude free vibration is considered based on the first normalized mode shape of structure. Different well-known plane problem benchmarks and some proposed ones are studied to validate the accuracy and capability of authors' formulations. In addition, the effects of length to the height ratio of beam, CNT's characteristics, support conditions and normalized amplitude parameter on the linear and nonlinear vibration parameters are investigated.

High Pressure Behavior Study of the Apophyllite (KF) (고압 하에서 어안석(KF)의 거동 연구)

  • Kim, Young-Ho;Choi, Jinwon;Heo, Sohee;Jeong, Nangyeong;Hwang, Gil Chan
    • Journal of the Mineralogical Society of Korea
    • /
    • v.28 no.4
    • /
    • pp.325-332
    • /
    • 2015
  • Apophyllite (KF)($K_{0.84}Ca_{3.99}Si_{7.70}O_{20}F_{0.72}{\cdot}8H_2O$), one of the sheet silicates, was compressed up to 7.7 GPa at ambient temperature and 15 high pressure data were obtained. Lattice parameters of the starting specimen were as follows: $a_0=8.954(2)\;{\AA}$, $c_0=15.795(2)\;{\AA}$, $V_0=1266.4(4)\;{\AA}^3$. Symmetrical diamond anvil cell was employed with synchrotron radiation in the mode of angular dispersive X-ray diffraction. Bulk modulus was determined to be 59(4) GPa when ${K_0}^{\prime}$ is 4. No clear first order phase transition symptom was observed in the series of XRD pattern. However, second-order phase transition cannot be ruled out from the correlation between normalized pressure and strain.

Determination of Horizontal Coefficient of Consolidation from the Self-boring Pressuremeter Holding Test by Considering Pore Pressure Dissipation Trend (간극수압 소산경향을 고려한 자가굴착식 프레셔메터로부터의 수평압밀계수 결정법)

  • 김영상
    • Journal of the Korean Geotechnical Society
    • /
    • v.20 no.3
    • /
    • pp.151-159
    • /
    • 2004
  • This paper describes a systematic way of identifying the horizontal coefficient of consolidation of clayey soil by applying an optimization technique to the early part of dissipation data measured from the self-boring pressuremeter strain holding test. An analytical solution developed by Randolph & Wroth (1979) was implemented in normalized form to express the build-up of excess pore pressures as a function of the rigidity index and subsequent dissipation of excess pore pressures around a pressuremeter Horizontal coefficient of consolidation was determined by minimizing the differences between theoretical and measured excess pore pressure curves over 50% degree of dissipation range using optimization technique. The effectiveness of the proposed back-analysis method was examined against the real fled performances obtained from pressuremeter strain holding tests at Gimje and Yangsan site. It is shown that the proposed back-analysis method can evaluates the rational horizontal coefficient of consolidation, which is similar to those obtained from the piezocone dissipation test. Furthermore, proposed method can evaluate appropriate coefficient of consolidation for soil under partially drained condition.

Stress-Strain Model in Compression for Lightweight Concrete using Bottom Ash Aggregates and Air Foam (바텀애시 골재와 기포를 융합한 경량 콘크리트의 압축 응력-변형률 모델)

  • Lee, Kwang-Il;Mun, Ju-Hyun;Yang, Keun-Hyeok;Ji, Gu-Bae
    • Journal of the Korean Recycled Construction Resources Institute
    • /
    • v.7 no.3
    • /
    • pp.216-223
    • /
    • 2019
  • The objective of this study is to propose a reliable stress-strain model in compression for lightweight concrete using bottom ash aggregates and air foam(LWC-BF). The slopes of the ascending and descending branches in the fundamental equation form generalized by Yang et al. were determined from the regression analyses of different data sets(including the modulus of elasticity and strains at the peak stress and 50% peak stress at the post-peak performance) obtained from 9 LWC-BF mixtures. The proposed model exhibits a good agreement with test results, revealing that the initial slope decreases whereas the decreasing rate in the stress at the descending branch increases with the increase in foam content. The mean and standard deviation of the normalized root-square mean errors calculated from the comparisons of experimental and predicted stress-strain curves are 0.19 and 0.08, respectively, for the proposed model, which indicates significant lower values when compared with those(1.23 and 0.47, respectively) calculated using fib 2010 model.

Deformation Analysis of Shallow Tunnel Using Tunnel Model Test and Computational Analysis (모형시험과 수치해석을 이용한 저토피 터널의 변형거동에 관한 연구)

  • Lee, Jae-Ho;Kim, Young-Su;Moon, Hong-Duk
    • Journal of the Korean Geotechnical Society
    • /
    • v.24 no.1
    • /
    • pp.61-70
    • /
    • 2008
  • The control and prediction of surface settlement, gradient and ground displacement are the main factors in shallow tunnel design and construction in urban area. For deformation analysis of shallow tunnel due to excavation it is important to identify possible deformation mechanism of shear bands developing from tunnel shoulder to the ground surface. This paper investigaties quantitatively the deformation behavior of shallow tunneling by model tunnel test and strain softening analysis Incorporating the reduction of shear stiffness and strength parameters. The comparison of model tunnel test result and numerical simulation using strain softening analysis showed good agreement in crown settlement, normalized subsidence settlement and developing shear bands above tunnel shoulder. In this study, it is blown that the strain softening modeling is applicable to the nonlinear deformation analysis of shallow tunnel.

Investigation of three-dimensional deformation mechanisms of existing tunnels due to nearby basement excavation in soft clay

  • Wanchun Chen;Lixian Tang;Haijun Zhao;Qian Yin;Shuang Dong;Jie Liu;Zhaohan Zhu;Xiaodong Ni
    • Geomechanics and Engineering
    • /
    • v.34 no.2
    • /
    • pp.115-124
    • /
    • 2023
  • By conducting three-dimensional simulation with consideration of small-strain characteristics of soil stiffness, the effects of excavation geometry and tunnel cover to diameter ratio on deformation mechanisms of an existing tunnel located either at a side of basement or directly underneath the basement were systematically studied. Field measurements were used to verify the numerical model and model parameters. For basement excavated at a side of an existing tunnel, the maximum settlement and horizontal displacement of the tunnel are always observed at the tunnel springline closer to basement and tunnel crown, respectively, regardless of basement geometry. By increasing basement length and width by five times, the maximum movements of tunnel located at the side of basement and directly underneath the basement increase by 450% and 186%, respectively. Obviously, tunnel movements are more sensitive to basement length rather than basement width. For basement excavated at a side of an existing tunnel, tunnel movements at basement centerline become stable when basement length reaches 10 He (i.e., final excavation depth). Moreover, tunnel heaves due to overlying basement excavation become stable when the normalized basement length (L/He) is larger than 8.0. As tunnel cover to diameter ratio varies from 2.5 to 3.0, the maximum heave and tensile strain of tunnel due to overlying basement excavation decrease by up to 41.0% and 44.5%, respectively. If basement length is less than 8 He, the assumption of plane strain condition of basement-tunnel interaction grossly overestimates tunnel movements, and ignores tensile strain of tunnel along its longitudinal direction. Thus, three-dimensional numerical analyses are required to obtain a reasonable estimation of tunnel responses due to adjacent and overlying basement excavations in clay.

An Experimental Study on the Mechanical Properties of Carbon Fiber Reinforced Concrete under Uni-Axial Compression Loading (탄소섬유보강콘크리트의 일축압축재하시의 역학적 특성에 관한 실험적 연구)

  • 부척량;김화중;이상재
    • Magazine of the Korea Concrete Institute
    • /
    • v.2 no.3
    • /
    • pp.55-64
    • /
    • 1990
  • With the increasing use of Fiber Reinforced Concrete as a structural material. More information on its mechanical properties is needed. This paper reports the results of experiments on the behavior of Carbon Fiber Reinforced Concrete under monotonic and cyclic compressive loading. The results are that (1) CFRC does improve its compressive strength by adding fibers to a concrete matrix. (2) Adding any fiber to a concrete matrix produced a substaintial change in its stress-strain response. This change is characterized by a significant increase in ductility as described by the descending portion of the stress-strain curve. (3) As compare with plain concrete, the normalized cyclic behavior of CFRC has a much stability. A higher fiber"" content produes a lesser steep descending portion, which results in a higher ductlity of the material.

A Study on the Dynamic Energy Release Rate of an Orthotropic Strip with a Half Infinite Crack and Large Anistropic Ratio (이방성비가 큰 직교이방성체의 반 무한 균열에 대한 동적 에너지해방률에 관한 연구)

  • Baek, Un-Cheol;Hwang, Jae-Seok
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.24 no.7 s.178
    • /
    • pp.1863-1870
    • /
    • 2000
  • When an impact stress is applied on the external boundary of double cantilever beam of orthotropic material which crack length is greater than specimen hight and anistropic ratio is very high, dyna mic energy release rate is derived, and the relationship between dynamic energy release rate and crack propagating velocity is studied. Dynamic energy release rate to static energy release rate is decreased with increasment of crack propagating velocity. The relationships between dynamic energy release rate and vertical strain have a similar pattern with those between static energy release rate and vertical strain. When normalized time(Cstla) is greater than or equal to 2, dynamic energy release rate approaches to a constant value.