• Title/Summary/Keyword: nonlinear softening model

Search Result 84, Processing Time 0.025 seconds

Tension Stiffening Effect for Reinforced Concrete Members (철근 콘크리트 부재의 인장강성 효과에 관한 연구)

  • 이봉학;윤경구;홍창우
    • Journal of the Korea Concrete Institute
    • /
    • v.11 no.4
    • /
    • pp.83-93
    • /
    • 1999
  • This paper presents tension stiffening effect of Reinforced concrete members obtained from experimental results on direct tension and bending. From the direct tension test program, crack patterns were investigated with tension softening behaviors of concrete. Tension stiffening effects and losses of strain energy were, also, analyzed from the load-deflection curve with the main experimental variables such as concrete strength, yielding stress and reinforcement ratio of rebar. Tension stiffening effect of RC members increase linearly until the first crack initiate, decrease inversely with number of cracks, and then decrease rapidly when splitting cracks are happened. The tension stiffening effect is shown to be more important at the member of lower reinforcement than that of higher. Therefore, it necessitates to consider the tension stiffening effects at a nonlinear analysis. From the above analysis, a tension stiffening model of concrete is proposed and verified by applying it to bending members. From the numerical analysis by finite element approach, it is shown that the proposed model evaluates a little higher in analyzing at nonlinear region of high strength concrete, but, perform satisfactorily in general.

Nonlinear Dynamic Response of Cantilevered Carbon Nanotube Resonator by Electrostatic Excitation (정전기력 가진에 의한 외팔보형 탄소나노튜브 공진기의 비선형 동적 응답)

  • Kim, Il-Kwang;Lee, Soo-Il
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.21 no.9
    • /
    • pp.813-819
    • /
    • 2011
  • This paper predicted nonlinear dynamic responses of a cantilevered carbon nanotube(CNT) resonator incorporating the electrostatic forces and van der Waals interactions between the CNT cantilever and ground plane. The structural model of CNT includes geometric and inertial nonlinearities to investigate various phenomena of nonlinear responses of the CNT due to the electrostatic excitation. In order to solve this problem, we used Galerkin's approximation and the numerical integration techniques. As a result, the CNT nano-resonator shows the softening effect through saddle-node bifurcation near primary resonance frequency with increasing the applied AC and DC voltages. Also we can predict nonlinear secondary resonances such as superharmonic and subharmonic resonances. The superharmonic resonance of the nano-resonator is influenced by applied AC voltage. The period-doubling bifurcation leads to the subharmonic resonance which occurs when the nano-resonator is actuated by electrostatic forces as parametric excitation.

Combination resonances of imperfect SSFG cylindrical shells rested on viscoelastic foundations

  • Foroutan, Kamran;Ahmadi, Habib
    • Structural Engineering and Mechanics
    • /
    • v.75 no.1
    • /
    • pp.87-100
    • /
    • 2020
  • The present paper investigates the combination resonance behavior of imperfect spiral stiffened functionally graded (SSFG) cylindrical shells with internal and external functionally graded stiffeners under two-term large amplitude excitations. The structure is embedded within a generalized nonlinear viscoelastic foundation, which is composed of a two-parameter Winkler-Pasternak foundation augmented by a Kelvin-Voigt viscoelastic model with a nonlinear cubic stiffness, to account for the vibration hardening/softening phenomena and damping considerations. With regard to classical plate theory of shells, von-Kármán equation and Hook law, the relations of stress-strain are derived for shell and stiffeners. The spiral stiffeners of the cylindrical shell are modeled according to the smeared stiffener technique. According to the Galerkin method, the discretized motion equation is obtained. The combination resonance is obtained by using the multiple scales method. Finally, the influences of the stiffeners angles, foundation type, the nonlinear elastic foundation coefficients, material distribution, and excitation amplitude on the system resonances are investigated comprehensively.

Modeling and Analysis of Strain Localization in Concrete (콘크리트 변형률국소화 모형 및 해석)

  • 송하원;김인순;나웅진
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 1997.04a
    • /
    • pp.375-382
    • /
    • 1997
  • In this paper, a unified micromechanics-based model which can be applied to both tensile and compressive member of concrete is suggested and to the analysis of the strain-localization in concrete. From the comparison of the analysis results obtained from different size of concrete members with experimental data, it id shown that the model in this paper can be applied to the analysis of the strain localization concrete. For the finite element analysis of the strain-localization in concrete, the localized zone in concrete under strain localization is modeled as ad plastic model which can consider nonlinear strain softening and the non-localized zone is modeled as a nonlinear elastic-damage model. Using developed finite element analysis program. strain localization behaviors under compressive force for the different sizes of concrete having different sizes of the localized zone are simulated.

  • PDF

Seismic performance of reinforced engineered cementitious composite shear walls

  • Li, Mo;Luu, Hieu C.;Wu, Chang;Mo, Y.L.;Hsu, Thomas T.C.
    • Earthquakes and Structures
    • /
    • v.7 no.5
    • /
    • pp.691-704
    • /
    • 2014
  • Reinforced concrete (RC) shear walls are commonly used for building structures to resist seismic loading. While the RC shear walls can have a high load-carrying capacity, they tend to fail in a brittle mode under shear, accompanied by forming large diagonal cracks and bond splitting between concrete and steel reinforcement. Improving seismic performance of shear walls has remained a challenge for researchers all over the world. Engineered Cementitious Composite (ECC), featuring incredible ductility under tension, can be a promising material to replace concrete in shear walls with improved performance. Currently, the application of ECC to large structures is limited due to the lack of the proper constitutive models especially under shear. In this paper, a new Cyclic Softening Membrane Model for reinforced ECC is proposed. The model was built upon the Cyclic Softening Membrane Model for reinforced concrete by (Hsu and Mo 2010). The model was then implemented in the OpenSees program to perform analysis on several cases of shear walls under seismic loading. The seismic response of reinforced ECC compared with RC shear walls under monotonic and cyclic loading, their difference in pinching effect and energy dissipation capacity were studied. The modeling results revealed that reinforced ECC shear walls can have superior seismic performance to traditional RC shear walls.

Nonlinear Shear Model of Fiber-Reinforced Cementitious Composite Panels (고인성 시멘트 복합체 패널의 비선형 전단모델)

  • Cho, Chang-Geun;Kim, Yun-Yong;Kim, Jeong-Sup
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2010.05a
    • /
    • pp.155-156
    • /
    • 2010
  • In current study, a nonlinear model for the shear behavior of Fiber-Reinforced Cementitious Composite (FRCC) panels has been introduced. The model is dealing with the multiple micro-cracking mechanism of FRCC materials which induce the high-ductile tensile characteristic, the compressive strain-softening, and the shear transfer mechanism in the cracked FRCC.

  • PDF

Nonlinear Numerical Analysis for Shear Dominant RC Columns Subjected to Lateral Force (전단거동이 우세한 기둥의 비선형 해석에 관한 연구)

  • Kim Ick-Hyun;Sun Chang-Ho;Lee Jong-Seok
    • Journal of the Korea Concrete Institute
    • /
    • v.16 no.4 s.82
    • /
    • pp.467-476
    • /
    • 2004
  • Because of crack control by steel bars after cracking the material models for reinforced concrete(RC) differ from those for plain concrete(PL). The nonlinear behavior of columns subjected to lateral load was simulated with reasonable accuracy in 3D analysis by applying distinct material models for RC and PL zone subdivided properly on the section. The shear strain is confirmed to develope unstably with ununiform distribution in out-of-plane direction. And this tendency becomes stronger as the thickness of column member increases in out-of-plane direction. If this ununiformity in strain distribution is not taken into consideration the capacity and the deformability of columns in shear dominant failure are overestimated excessively in two dimensional analysis. By introducing equivalent softening model a behavior of columns can be predicted too in two dimensional analysis.

Unified Method for Nonlinear Finite Element Analysis of RC Planar Members (통합방법을 이용한 철근콘크리트부재의 비선형 유한요소해석)

  • 박홍근
    • Magazine of the Korea Concrete Institute
    • /
    • v.9 no.2
    • /
    • pp.133-144
    • /
    • 1997
  • Concrete plasticity models fol the analysis of reinforced concrete members in plane stress are studied. The proposed plasticity model for reinforced concrete provides a unified approach combining plasticity theory and damage models. It addresses strength mhancement under rnultiaxial compression. and tensile cracking damage. The model uses multiple failure criteria for compressive crushing and tensile cracking. For tensile cracking behavior. rotating-crack and fixed-crack plasticity models are compared. As crushing failure criterion, the Drucker-Prager and the von Mises models are used for comparison. The model uses now and existing damnge models fbr tension softening, tension stiffening. and compression softening dup to tensilt. cracking. Finite element analyses using the unified method are compatxd with existing rxpcrimcntal r.esults. To vei.ify the proposcd crushing and cracking plasticity models, the experiments have load capacities govc11.nc.d either by compressive crushing of'concrete or by yi~lding of' reinforcing steel.

Strength of prestressed concrete beams in torsion

  • Karayannis, Chris G.;Chalioris, Constantin E.
    • Structural Engineering and Mechanics
    • /
    • v.10 no.2
    • /
    • pp.165-180
    • /
    • 2000
  • An analytical model with tension softening for the prediction of the capacity of prestressed concrete beams under pure torsion and under torsion combined with shear and flexure is introduced. The proposed approach employs bilinear stress-strain relationship with post cracking tension softening branch for the concrete in tension and special failure criteria for biaxial stress states. Further, for the solution of the governing equations a special numerical scheme is adopted which can be applied to elements with practically any cross-section since it utilizes a numerical mapping. The proposed method is mainly applied to plain prestressed concrete elements, but is also applicable to prestressed concrete beams with light transverse reinforcement. The aim of the present work is twofold; first, the validation of the approach by comparison between experimental results and analytical predictions and second, a parametrical study of the influence of concentric and eccentric prestressing on the torsional capacity of concrete elements and the interaction between torsion and shear for various levels of prestressing. The results of this investigation presented in the form of interaction curves, are compared to experimental results and code provisions.

Global seismic damage assessment of high-rise hybrid structures

  • Lu, Xilin;Huang, Zhihua;Zhou, Ying
    • Computers and Concrete
    • /
    • v.8 no.3
    • /
    • pp.311-325
    • /
    • 2011
  • Nowadays, many engineers believe that hybrid structures with reinforced concrete central core walls and perimeter steel frames offer an economical method to develop the strength and stiffness required for seismic design. As a result, a variety of such structures have recently been applied in actual construction. However, the performance-based seismic design of such structures has not been investigated systematically. In the performance-based seismic design, quantifying the seismic damage of complete structures by damage indices is one of the fundamental issues. Four damage states and the final softening index at each state for high-rise hybrid structures are suggested firstly in this paper. Based on nonlinear dynamic analysis, the relation of the maximum inter-story drift, the main structural characteristics, and the final softening index is obtained. At the same time, the relation between the maximum inter-story drift and the maximum roof displacement over the height is also acquired. A double-variable index accounting for maximum deformation and cumulative energy is put forward based on the pushover analysis. Finally, a case study is conducted on a high-rise hybrid structure model tested on shaking table before to verify the suggested quantities of damage indices.