• Title/Summary/Keyword: Linear moduli

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A Study on the Strain Localization of Concrete (콘크리트의 변형률 국소화에 관한 연구)

  • Seo, Chul;Byun, Keun-Joo;Song, Ha-Won
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.10a
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    • pp.178-182
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    • 1995
  • Strain localization is important phenomenon since it governs the total behavior or ultimate loads in various kinds of engineering problems. Establishment of an analysis method for strain localization phenomena is also of great concern for expansion of fracture mechanics of concrete. Inside zone of localization, a decrese in stress is accompanied by an increse in strain; outside the strain decreses. All deformation localization phenomenon cannot be predicted by both the classical stress-strain formulation and the linear elastic fracture mechanics. In this paper, a simple one dimensional model including localized deformation zone is studied under compressive and tensile loading. When the model is loaded. localization is assumed to occur uniformly in a finite region and material outside the localization zone is modelled as elastic unloading occurs. Size effects of effective elastic moduli under compression and tension in localization zone are examined.

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Parameter Identification and Nonlinear Seismic Analysis of Soil-Structure Interaction System (지반-구조물 상호작용계의 계수추정 및 비선형 지진응답해석)

  • 윤정방
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1997.04a
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    • pp.265-272
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    • 1997
  • This paper presents the result of an international cooperative research on the post-correlation analysis of forced vibration tests and the prediction of earthquake responses of a large-scale seismic test structure. Through the post-correlation analysis, the properties of the soil layers are revised so that the best correlation in the responses may be obtained compared with the measured force vibration test data. Utilizing the revised soil properties as the initial linear values, the seismic responses are predicted for an earthquake using the equivalent linearlization technique based on the specified strain dependent characteristics of the shear moduli and damping ratios. It has been found that the predicted responses by the equivalent nonlinear procedure are in excellent agreement with the observed responses, which those using the initial properties are fairly off from the measured results.

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Modeling of Mechanical Behavior of Microcantilever due to Intrinsic Strain during Deposition

  • Kim Sang-Hyun;Mani Sathyanarayanan;Boyd James G. IV
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1646-1652
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    • 2006
  • A model of mechanical behavior of microcantilever due to intrinsic strain during deposition of MEMS structures is derived. A linear ordinary differential equation is derived for the beam deflection as a function of the thickness of the deposited layer. Closed-form solutions are not possible, but numerical solutions are plotted for various dimensionless ratios of the beam stiffness, the intrinsic strain, and the elastic moduli of the substrate and deposited layer. This model predicts the deflection of the cantilever as a function of the deposited layer thickness and the residual stress distribution during deposition. The usefulness of these equations is that they are indicative of the real time behavior of the structures, i.e. it predicts the deflection of the beam continuously during deposition process.

Viscoplasticity model stochastic parameter identification: Multi-scale approach and Bayesian inference

  • Nguyen, Cong-Uy;Hoang, Truong-Vinh;Hadzalic, Emina;Dobrilla, Simona;Matthies, Hermann G.;Ibrahimbegovic, Adnan
    • Coupled systems mechanics
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    • v.11 no.5
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    • pp.411-438
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    • 2022
  • In this paper, we present the parameter identification for inelastic and multi-scale problems. First, the theoretical background of several fundamental methods used in the upscaling process is reviewed. Several key definitions including random field, Bayesian theorem, Polynomial chaos expansion (PCE), and Gauss-Markov-Kalman filter are briefly summarized. An illustrative example is given to assimilate fracture energy in a simple inelastic problem with linear hardening and softening phases. Second, the parameter identification using the Gauss-Markov-Kalman filter is employed for a multi-scale problem to identify bulk and shear moduli and other material properties in a macro-scale with the data from a micro-scale as quantities of interest (QoI). The problem can also be viewed as upscaling homogenization.

An Analysis of Stress-Strain Relationships of Unsaturated soils Based on Bishop Stress (Bishop 응력에 의거한 불포화토의 응력-변형률 관계의 분석)

  • Oh, Seboong;Lee, Jong-Pil;Kim, Tae-Kyung;Kwon, Ohkyun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.4C
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    • pp.175-182
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    • 2009
  • The stress-strain relationship of an unsaturated soil was analyzed by Bishop stress descriptions in this study. The failure criteria could be defined uniquely by the Bishop stress and were also independent of matric suctions. In the low level of matric suctions the failure criteria have a linear relationship and the estimated criterion fitted the measured accurately. Deformation moduli in the small strain level were linearly increased generally with respect to Bishop stress.

Flow and Mechanical Properties of Linear and Branched Polycarbonates Blends (선형 및 분지화된 폴리카보네이트 블렌드의 기계적 성질과 유동특성)

  • 류민영;이재식;배유리
    • Polymer(Korea)
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    • v.24 no.1
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    • pp.38-47
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    • 2000
  • A study of linear and branched polycarbonates blend system is presented. Flow and mechanical properties, and miscibility were studied for the blends of various compositions. No phase separations were observed in the blend systems. The mechanical properties of blends were examined through tensile strength, tensile modulus, flexural strength, flexural modulus and impact strength. Melt viscosity, storage and loss moduli of the blends with various compositions were examined at various temperatures. The dependence of viscosity on molecular weight was also presented. Flow properties of the blends showed significant variations however, mechanical properties were relatively independent of the compositions. As the content of branched polycarbonate increased, the dependence of viscosity on molecular weight and shear thinning behavior became more marked. Therefore the blend systems which have same mechanical properties but different flow properties can be obtained.

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Study on the Estimation of Duncan & Chang Model Parameters-initial Tangent Modulus and Ultimate Deviator Stress for Compacted Weathered Soil (다짐 풍화토의 Duncan & Chang 모델 매개변수-초기접선계수와 극한축차응력 산정에 관한 연구)

  • Yoo, Kunsun
    • Journal of the Korean GEO-environmental Society
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    • v.19 no.12
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    • pp.47-58
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    • 2018
  • Duncan & Chang(1970) proposed the Duncan-Chang model that a linear relation of transformed stress-strain plots was reconstituted from a nonlinear relation of stress-strain curve of triaxial compression test using hyperbolic theory so as to estimate an initial tangent modulus and ultimate deviator stress for the soil specimen. Although the transformed stress-strain plots show a linear relationship theoretically, they actually show a nonlinearity at both low and high values of strain of the test. This phenomenon indicates that the stress-strain curve is not a complete form of a hyperbola. So, if linear regression analyses for the transformed stress-strain plot are performed over a full range of strain of a test, error in the estimation of their linear equations is unavoidable depending on ranges of strain with non-linearity. In order to reduce such an error, a modified regression analysis method is proposed in this study, in which linear regression analyses for transformed stress-strain plots are performed over the entire range of strain except the range the non-linearity is shown around starting and ending of the test, and then the initial tangent modulus and ultimate deviator stresses are calculated. Isotropically consolidated-drained triaxial compression tests were performed on compacted weathered soil with a modified Proctor density to obtain their model parameters. The modified regression analyses for transformed stress-strain plots were performed and analyzed results are compared with results estimated by 2 points method (Duncan et al., 1980). As a result of analyses, initial tangent moduli are about 4.0% higher and ultimate deviator stresses are about 2.9% lower than those values estimated by Duncan's 2 points method.

Creep Behavior of a PZT Wafer Under Tensile Stress: Experiments and Modeling (인장하중을 받을 때 PZT 웨이퍼의 크립 거동: 실험과 모델링)

  • Kim, Sang-Joo;Lee, Chang-Hoan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.1
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    • pp.61-65
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    • 2010
  • A commercially available soft PZT wafer that is poled in thickness direction is subjected to longitudinal tensile stress loading in both short and open-circuit conditions. Variations of electric displacement in thickness direction and in-plane strains are measured over time during the loading. Different material responses in the two electrical boundary conditions are explained by the effects of piezoelectrically produced internal electric field on linear material moduli and domain switching mechanisms. Finally, a free energy model of normal distribution is introduced to explain the observed creep behavior, and its predictions are compared with experimental observations.

STRESS ANALYSIS WITH NONLINEAR MODELLING OF THE LOAD TRANSFER CHARACTERISTICS ACROSS THE OSSEOINTEGRATED INTERFACES OF DENTAL IMPLANT

  • Lee Seung-Hwan;Jo Kwang-Hun
    • The Journal of Korean Academy of Prosthodontics
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    • v.42 no.3
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    • pp.267-279
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    • 2004
  • A modelling scheme for the stress analysis taking into account load transfer characteristics of the osseointegrated interfaces between dental implant and surrounding alveolar bone was investigated. Main aim was to develop a more realistic simulation methodology for the load transfer at the interfaces than the prefect bonding assumption at the interfaces which might end up the reduced level in the stress result. In the present study, characteristics of osseointegrated bone/implant interfaces was modelled with material nonlinearity assumption. Bones at the interface were given different stiffness properties as functions of stresses. Six different models, i.e. tens0, tens20, tens40, tens60, tens80, and tens100 of which the tensile moduli of the bones forming the bone/implant interfaces were specified from 0, 20, 40, 60, 80, and 100 percents, respectively, of the compressive modulus were analysed. Comparisons between each model were made to study the effect of the tensile load carrying abilities, i.e. the effectivity of load transfer, of interfacial bones on the stress distribution. Results of the present study showed significant differences in the bone stresses across the interfaces. The peak stresses, however, were virtually the same regardless of the difference in the effectivity of load transfer, indicating the conventional linear modelling scheme which assumes perfect bonding at the bone/implant interface can be used without causing significant errors in the stress levels.

Viscoelastic Property Evaluation of Asphalt Cement by Ultrasonic Measurement (초음파 측정법에 의한 아스팔트 세멘트의 점탄성 특성 평가)

  • Lee, Jai-Hak
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.5
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    • pp.402-411
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    • 2000
  • This study investigates the method to measure the viscoelastic properties of asphalt cement, one of the viscoelastic materials, using the ultrasound. The wave speed and attenuation were measured from $-20^{\circ}C$ to $60^{\circ}C$ at the frequency of 2.25MHz. Then, the storage and loss longitudinal moduli, loss tangent storage and loss longitudinal compliances were found depending on the temperatures based on the linear viscoelastic theory. Stress relaxation, creep, and viscosity were predicted using Maxwell and Voigt-Kelvin viscoelastic models. The validity of superposition principle and shift factor were verified by comparing the present results to the data reported in the literatures.

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