• Title/Summary/Keyword: Maximum Shear Strain

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Dynamic analysis of concrete beams reinforced with Tio2 nano particles under earthquake load

  • Sharifi, Morteza;Kolahchi, Reza;Bidgoli, Mahmood Rabani
    • Wind and Structures
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    • v.26 no.1
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    • pp.1-9
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    • 2018
  • This research studies the dynamic analysis of a concrete column reinforced with titanium dioxide ($TiO_2$) nanoparticles under earthquake load. The effect of nanoparticles accumulation in a region of concrete column is examined using Mori-Tanaka model. The structure is simulated mathematically based on the theory of sinusoidal shear deformation theory (SSDT). By calculating strain-displacement and stress-strain relations, the system energies include potential energy, kinetic energy, and external works are derived. Then, using the Hamilton's principle, the governing equations for the structure are extracted. Using these equations, the response of the concrete column under earthquake load is investigated using the numerical methods of differential quadrature (DQ) and Newark. The purpose of this study is to study the effects of percentage of nanoparticles, nanoparticles agglomeration, geometric parameters and boundary conditions on the dynamic response of the structure. The results indicate that by increasing the volume percent of $TiO_2$ nanoparticles, the maximum dynamic deflection of the structure decreases.

The Reinforcement Method and Stability Analysis of Cut Slopes (절토사면의 안정해석과 보강방법)

  • 지인택;이달원
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.39 no.1
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    • pp.112-121
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    • 1997
  • The aim of this study was to analyze the slope stability relating to the failure of cut slopes and the characteristics of stress-strain relations obtained by limit equilibrium method, finite element method, and stereographic projection method for the reinforced cut slopes. The following conclusions were made : 1.To use stereographic projection method led to little possibility to take the toppling and wedge failure while to use the other methods led to the failure. It was recommended to reduce the slope inclination from 1:1 to 1: 1.5~1 :1.8 and adopt coir mesh method to protect the slope surface. position with the horizontal displacement after final excavation moved to the excavation base. The maximum shear strain values concentrated at the excavation base indicated the possibility to induce the local failure. 3. It was recommended that the slope inclination for blast rock with the slope height larger than l0m was 1: 0.5, 1:1, and 1: 1~1 :1.5 for hard rocks, soft and ordinary rocks, and ripping and soils, respectively. 4. Berm width criteria for blast rock with the slope height larger than l0m were recommended as follow : 2~3m per 20m slope height for hard rocks, 1 ~2m per l0m slope height for soft and ordinary rocks, 1 ~ l.5m per 5m slope height for ripping and soils.

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Bending analysis of doubly curved FGM sandwich rhombic conoids

  • Ansari, Md I.;Kumar, Ajay;Bandyopadhyaya, Ranja
    • Structural Engineering and Mechanics
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    • v.71 no.5
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    • pp.469-483
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    • 2019
  • In this paper, an improved mathematical model is presented for the bending analysis of doubly curved functionally graded material (FGM) sandwich rhombic conoids. The mathematical model includes expansion of Taylor's series up to the third degree in thickness coordinate and normal curvatures in in-plane displacement fields. The condition of zero-transverse shear strain at upper and lower surface of rhombic conoids is implemented in the present model. The newly introduced feature in the present mathematical model is the simultaneous inclusion of normal curvatures in deformation field and twist curvature in strain-displacement equations. This unique introduction permits the new 2D mathematical model to solve problems of moderately thick and deep doubly curved FGM sandwich rhombic conoids. The distinguishing feature of present shell from the other shells is that maximum transverse deflection does not occur at its center. The proposed new mathematical model is implemented in finite element code written in FORTRAN. The obtained numerical results are compared with the results available in the literature. Once validated, the current model was employed to solve numerous bending problems by varying different parameters like volume fraction indices, skew angles, boundary conditions, thickness scheme, and several geometric parameters.

Relationship between Steady Flow and Dynamic Rheological Properties for Viscoelastic Polymer Solutions - Examination of the Cox-Merz Rule Using a Nonlinear Strain Measure - (점탄성 고분자 용액의 정상유동특성과 동적 유변학적 성질의 상관관계 -비선헝 스트레인 척도를 사용한 Cox-Merz 법칙의 검증-)

  • 송기원;김대성;장갑식
    • The Korean Journal of Rheology
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    • v.10 no.4
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    • pp.234-246
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    • 1998
  • The objective of this study is to investigate the correlation between steady shear flow (nonlinear behavior) and dynamic viscoelastic (linear behavior) properties for concentrated polymer solutions. Using both an Advanced Rheometic Expansion System(ARES) and a Rheometics Fluids Spectrometer (RFS II), the steady shear flow viscosity and the dynamic viscoelastic properties of concentrated poly(ethylene oxide)(PEO), polyisobutylene(PIB), and polyacrylamide(PAAm) solutions have been measured over a wide range of shear rates and angular frequencies. The validity of some previously proposed relationships was compared with experimentally measured data. In addition, the effect of solution concentration on the applicability of the Cox-Merz rule was examined by comparing the steady flow viscosity and the magnitude of the complex viscosity Finally, the applicability of the Cox-Merz rule was theoretically discussed by introducing a nonlinear strain measure. Main results obtained from this study can be summarized as follows : (1) Among the previously proposed relationships dealt with in this study, the Cox-Merz rule implying the equivalence between the steady flow viscosity and the magnitude of the complex viscosity has the best validity. (2) For polymer solutions with relatively lower concentration, the steady flow viscosity is higher than the complex viscosity. However, such a relation between the two viscosities is reversed for highly concentrated polymer solutions. (3) A nonlinear strain measure is decreased with increasing stran magnitude, after reaching the maximum value in small strain range. This behavior is different from the theoretical prediction demonstrating the shape of a damped oscillatory function. (4) The applicability of the Cox-Merz rule is influenced by the $\beta$ value, which indicates the slope of a nonlinear stain measure (namely, the degree of nonlinearity) at large shear deformations. The Cox-Merz rule shows better applicability as the $\beta$ value becomes smaller.

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Finite Element Analysis of Reinforced Earth Wall Behavior (보강토 옹벽의 거동에 관한 유한요소 해석)

  • 최인석;장연수;조광철
    • Proceedings of the Korean Geotechical Society Conference
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    • 2003.03a
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    • pp.805-812
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    • 2003
  • The purpose of this study is to evaluate the behavior of a reinforced earth wall by modeling the properties of the interface between soil and reinforced elements as well as the non-linear stress-strain characteristics of soil. The effect of lateral earth pressures induced during construction is also included in the analyses. The interface element used to evaluate the relative movement of the interface between soil/reinforcement and soil/wall- facing has a zero thickness and essentially consists of normal and shear springs. The behavior of soil element is calculated based on the hyperbolic model. The computer program SSCOMPPC which includes the interface element, hyperbolic model and bi-linear model is applied in this study. From the analyses, it is showed that the locus of maximum tension were closed to the hi-linear failure line of theoretical analyses. The lateral displacement of SSCOMPPC is larger than that of the FLAC which adopts the elastic model. This means the analysis which is adopted the hyperbolic model and interface element induced more larger displacement.

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탄.소성 Work-Hardening 모델에 대한 Program 개발 -Lade 모델을 중심으로-

  • 박병기;정진섭
    • Proceedings of the Korean Geotechical Society Conference
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    • 1991.10a
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    • pp.255-270
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    • 1991
  • In recent years. finite element methods have been used with increasing effectiveness in analysis of displacements and stresses within soil masses. However, one of the weakest links in the analytical representations used in these methods is the models of the material behaviour. Herein is discribed a modification to the finite element methods that allows solution problems with realistic stress-strain relation for soils. A finite element program for the precision prediction of the stress distribution within foundation has been developed using the elasto-plastic Work-Hardening model. The developed program is verified by comparing the results of this study with the tested results for Sacramento river sand. The main results obtained from the numerical examples are as follows: The vertical total stress increments are insensitive to drainage and constitutive equation of materials. The horizontal total stress increments are considerably affected by the drainage and constitutive equation of materials. The maximum shear stresses are affected by the drainage only in elasto-ptastic meterirals. The excess pore water pressures and the volumetric strains not only are considerably affected by the constitutive equation of materials. but also have almost similar distribution.

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Nonlinear Analysis of Nuclear Containment Wall Element using Standard 8-node Solid Element (표준 8절점 고체요소를 이용한 원전 격납건물 벽체요소의 비선형해석)

  • Lee Hong-Pyo;Choun Young-Sun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.151-158
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    • 2005
  • For the safety analysis of large structures such as nuclear containment buildings, we conventionally prefer to use analytical approach using finite element method rather than empirical test. Therefor, this paper is mainly focused to develop low-order solid finite element model with the elasto-plastic material model for the safety analysis of nuclear containment building. Drucker-Prager failure criteria in uncracked concrete and maximum tensile stress criteria in cracked concrete are used to model the constitutive behavior of concrete. The concrete material model takes into account the aspects of tensile strain, compression strength reduction of concrete and shear transfer to improve the accuracy of the finite element analysis. Finally, numerical simulation to compare the performance of the developed model with experimental results is employed. The numerical results in this study agree very well with the experimental data.

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A Study on the Slitting Working by Finite Element Analysis (유한요소해석에 의한 슬리팅가공에 관한 연구)

  • Han, K.T.;Seo, J.K.
    • Journal of Power System Engineering
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    • v.5 no.3
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    • pp.56-63
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    • 2001
  • A slitter is a sort of machinery to cut sheet materials in rolls continuously in the longitudinal direction. Recently slitter line users have requiring higher quality and precision in products in addition to high productivity. A finite element analysis has been performed to investigate the effect of processing factors on shear planes in the slitting of Shrinkage Band(S,K.B.). For the analysis, Hot-dip 55% aluminum-zinc alloy-coated steel sheets and coils(SAZCC) is selected as a material. The results obtained are that deformation was concentrated along the very narrow zone and the maximum slitting load decreases by increasing the knife clearance. Also effective strain decreases according to the clearance increases.

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An Experimental Study on Deep Collapse of Steel Tubes under Pure Bending (순수 굽힘 시험기를 이용한 연강 사각관의 굽힘 붕괴에 관한 실험적 연구)

  • KiM, C.S.;Chung, T.E.;Kang, S.Y.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.9
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    • pp.37-44
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    • 1997
  • In this paper the bending collapse characteristics of square and rectangular steel tubes were studied with the pure bending test machine which apply pure bending moment without imposing shear and tensile forces. Under pure bending moment, delayed buckling modes occur and depend on test length and shape of section. For delayed mode, the endrgy of bending moment is absorbed by strain hardening energy. The pre- dictions of maximum moment and moment-rotation angle curve from those concepts are in good agreement with experimental observations.

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Analysis of Fatigue Life of Spot-Welded Specimens (점용접 시편의 피로 수명 해석)

  • Chu, Young-Woo;Chu, Seok-Jae;Choi, Byung-Gil;Yum, Young-Jin;Yoo, Hee
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.6
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    • pp.279-286
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    • 1999
  • Failure of spot-weld joints in car body may cause noise, vibration and safety problems. Systematic procedures for estimating fatigue strength of general spot-weld joints are developed in this paper. Fatigue test results for various spot-welded specimens are analysed using the finite element method. It is found that the maximum principal strain at the nugget boundary on the inner surface governs the fatigue failure of spot-welded joints.

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