• Title/Summary/Keyword: Linear moduli

검색결과 63건 처리시간 0.026초

Mesoscale modeling of the temperature-dependent viscoelastic behavior of a Bitumen-Bound Gravels

  • Sow, Libasse;Bernard, Fabrice;Kamali-Bernard, Siham;Kebe, Cheikh Mouhamed Fadel
    • Coupled systems mechanics
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    • 제7권5호
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    • pp.509-524
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    • 2018
  • A hierarchical multi-scale modeling strategy devoted to the study of a Bitumen-Bound Gravel (BBG) is presented in this paper. More precisely, the paper investigates the temperature-dependent linear viscoelastic of the material when submitted to low deformations levels and moderate number of cycles. In such a hierarchical approach, 3D digital Representative Elementary Volumes are built and the outcomes at a scale (here, the sub-mesoscale) are used as input data at the next higher scale (here, the mesoscale). The viscoelastic behavior of the bituminous phases at each scale is taken into account by means of a generalized Maxwell model: the bulk part of the behavior is separated from the deviatoric one and bulk and shear moduli are expanded into Prony series. Furthermore, the viscoelastic phases are considered to be thermorheologically simple: time and temperature are not independent. This behavior is reproduced by the Williams-Landel-Ferry law. By means of the FE simulations of stress relaxation tests, the parameters of the various features of this temperature-dependent viscoelastic behavior are identified.

현장시험을 통해 지반의 비선형 전단탄성계수를 산정하기 위한 역해석방법의 개발 (Development of Inversion Analysis Framework to Determine Nonlinear Shear Moduli of Soils In Situ)

  • 안재훈
    • 한국방재학회 논문집
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    • 제8권3호
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    • pp.87-93
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    • 2008
  • 지반의 비선형 전단탄성계수를 결정하기 위한 현장시험에서는, 먼저 지반과 원형기초에 지오폰을 설치하고, 기초에 대형 진동발생장치를 이용하여 진동하중을 가한다. 이 때, 지오폰으로부터 지반과 기초의 거동을 측정하고, 본 거동을 분석하여 전단탄성 계수와 해당 전단변형률을 결정할 수 있다. 본 논문에서는 현장시험결과로부터 지반의 선형, 비선형 전단탄성계수를 결정하기위한 역해석 과정의 필요성과 그 개발에 초점을 맞추었다. 제안된 역해석 과정은 비선형 최소자승법을 근간으로 하며, 거동이 계측되지 않는 곳의 지반의 비선형성을 고려하기 위하여 이중 반복루프를 사용하였다. 역해석 과정의 적용성을 검토하기 위하여 일련의 수치해석을 수행하였으며, 또한 역해석 적용의 예제를 보였다. 제안된 방법은 현장지반의 전단탄성계수 분포의 변화가 극심하지 않은 경우에는 전반적으로 우수한 적용성을 보이지만, 해석대상 지반의 전단파속도 분포가 역해석의 정확성에 영향을 수 있으므로, 예비 역해석을 통해 산출될 오차를 정량화 하는 것이 필요하다.

사질토의 전단 하중 재하 시 다축 벤더엘리먼트 시험으로 구한 이방적 전단탄성계수 (Anisotropic Elastic Shear Moduli of Sands Measured by Multi-directional Bender Element Tests in Stress Probe Experiments)

  • 고영주;정영훈;이충현;정충기
    • 대한토목학회논문집
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    • 제28권3C호
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    • pp.159-166
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    • 2008
  • 흙은 변형률에 따라 강성이 감소하는 비선형적 변형 특성을 가지지만, 매우 작은 변형률 영역($<10^{-3}%$)에서는 선형탄성적 특성을 갖는다고 알려져 있다. 본 연구에서는 응력 경로 시험 중 실시한 다축 벤더엘리먼트 시험을 통해 다양한 응력 상태에서 사질토의 이방적 전단탄성계수를 측정하고, 그 변화를 분석하고자 하였다. 응력 경로 시험에서는 내부 변형률 측정 장치 및 3 방향의 벤더 엘리먼트가 부착된 삼축 시험기를 이용하였다. 전단 중 응력비가 -0.5~1.5의 범위를 벗어나게 되면 축 방향 전단탄성계수는 응력과의 경험적 상관관계와 차이가 발생하였고, 이로부터 시료의 항복이 전단파 전달 구조를 변화시킴을 알 수 있었다. 수평방향 전단탄성계수의 변화는 전단 중 체적 상태의 변화와 밀접한 관계가 있음을 알 수 있었다.

성층권 비행선 기낭 막재료에 대한 비선형 거동 연구 (Non-Linear Behavior Analysis for Stratospheric Airship Envelope)

  • 서영욱;우경식
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 춘계학술발표대회 논문집
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    • pp.87-90
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    • 2004
  • In this paper, geometrically non-linear finite element analyses were performed to study the mechanical behavior of the material system of the envelope of stratospheric airships. The microstructure of the load­bearing plain weave layer was identified and modeled. The Updated Lagrangian formulation was employed to consider the geometric non-linearity as well as the induced structural non-linearity for the fiber tows. The stress-strain behavior was predicted and the effective elastic modulus was calculated by numerical experiments. It was found the non-linear stress-strain curves were largely different from those by linear analysis with much higher non-linear elastic moduli. The difference was more distinguishable when the tow waviness was smaller.

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Three-dimensional effective properties of layered composites with imperfect interfaces

  • Sertse, Hamsasew;Yu, Wenbin
    • Advances in aircraft and spacecraft science
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    • 제4권6호
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    • pp.639-650
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    • 2017
  • The objective of this paper is to obtain three-dimensional (3D) effective properties for layered composites with imperfect interfaces using mechanics of structure genome. The imperfect interface is modeled using linear traction-displacement model that allows small infinitesimal displacement jump across the interface. The predictions obtained from the current analysis are compared with the 3D finite element analysis (FEA). In this study, it is found that the present model shows excellent agreement with the results obtained using 3D FEA by employing periodic boundary conditions. The prediction also reveals that in-plane longitudinal and shear moduli, and all Poisson's ratios are observed to be not affected by the interfacial stiffness while the predictions of transverse longitudinal and shear moduli are significantly influenced by interfacial stiffness.

Investigation of masonry elasticity and shear moduli using finite element micro-models

  • Mavrouli, O.A.;Syrmakezis, C.A.
    • Smart Structures and Systems
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    • 제4권2호
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    • pp.171-182
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    • 2008
  • In this paper, a methodology for the estimation of masonry elasticity and shear moduli is presented, for linear elasticity considerations. The methodology is based on the assumption that for a "periodic" masonry wall, which is formed by the repetition of a basic unit containing blocks and mortar, the mechanical characteristics of the unit are representative of the characteristics of the entire wall. For their calculation, the finite element analysis method is used. A micro-model with finite elements simulating separately the blocks and the mortar is developed. An equivalent finite element model, using an homogenous material is also developed and assuming equivalence of strains for the two models, the homogenous material properties are estimated. The efficiency of the method and its applicability limits are investigated.

Advances in measuring linear viscoelastic properties using novel deformation geometries and Fourier transform techniques

  • See, Howard
    • Korea-Australia Rheology Journal
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    • 제13권2호
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    • pp.67-81
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    • 2001
  • The development of new techniques for the dynamic measurement of linear viscoelastic properties is an active area of rheometry, and this paper surveys some novel deformation geometries which have been recently reported e.g. oscillating probe-type devices which are imbedded in or placed on the surface of the sample. Small amplitude band-limited pseudorandom noise is used for the displacement signal, with Fourier analysis of the complex waveform of the resistance force yielding the frequency dependent viscoelastic material functions (e.g. storage and loss moduli G", G"). Theoretical calculations of the fundamental equations relating force to displacement and instrument geometry, were carried out with the aid of the correspondence principle of linear viscoelasticity. The rapidity of the tests and flexibility in terms of sample preparation and stiffness mean that this basic technique should find many applications in rheometry. Three examples of oscillatory tests are presented in detail squeeze flow, imbedded needle and concentric sliding cylinder geometries.eometries.

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A REFINEMENT OF THE CLASSICAL CLIFFORD INEQUALITY

  • Iliev, Hristo
    • 대한수학회지
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    • 제44권3호
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    • pp.565-583
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    • 2007
  • We offer a refinement of the classical Clifford inequality about special linear series on smooth irreducible complex curves. Namely, we prove about curves of genus g and odd gonality at least 5 that for any linear series $g^r_d$ with $d{\leq}g+1$, the inequality $3r{\leq}d$ holds, except in a few sporadic cases. Further, we show that the dimension of the set of curves in the moduli space for which there exists a linear series $g^r_d$ with d<3r for $d{\leq}g+l,\;0{\leq}l{\leq}\frac{g}{2}-3$, is bounded by $2g-1+\frac{1}{3}(g+2l+1)$.

인공위성 카메라 주반사경 지지부에 적용되는 접착제의 전단 특성 연구 (A Study on the Shear Characteristics of Adhesives in Primary Mirror Supports of Satellite Camera)

  • 김현중;서유덕;박상훈;윤성기;이승훈;이덕규;이응식
    • 대한기계학회논문집A
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    • 제31권7호
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    • pp.808-815
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    • 2007
  • The optical performance of the mirror fur satellite camera is highly dependent on the adhesive properties between the mirror and its support. Therefore, in order to design a mirror with high optical performance, the mechanical properties of adhesives should be well defined. In this research, the mechanical properties of three kinds of space adhesives are studied. In case of the materials which show nearly incompressible behavior such as space adhesives, it is important to measure shear modulus which governs deviatoric stress components. Also the experiment should be performed in circumstances similar to real manufacturing process of mirror, because extra factors such as size effects, the adhesion effects of primer and reactions between adhesive and primer affect the properties of adhesive regions. In this research shear moduli of the adhesives are determined by using a single lap adhesively bonded joint. For the shear tests, several temperatures have been selected from $-20^{\circ}C$ to $55^{\circ}C$ which is operating temperature range of the adhesive. In the case of linear behavior materials, shear moduli are calculated through a linear curve fitting. Shear stress-strain relation is obtained by using an exponential curve fitting for material which shows non-linear behavior. The shear modulus of each adhesive is expressed as a function of temperature. Characteristics and adaptability of the adhesives are discussed regarding their temperature sensitivity.