• Title/Summary/Keyword: deformation dependent

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Kinematics of filament stretching in dilute and concentrated polymer solutions

  • McKinley, Gareth H.;Brauner, Octavia;Yao, Minwu
    • Korea-Australia Rheology Journal
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    • v.13 no.1
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    • pp.29-35
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    • 2001
  • The development of filament stretching extensional rheometers over the past decade has enabled the systematic measurement of the transient extensional stress growth in dilute and semi-dilute polymer solutions. The strain-hardening in the extensional viscosity of dilute solutions overwhelms the perturbative effects of capillarity, inertia & gravity and the kinematics of the extensional deformation become increasingly homogeneous at large strains. This permits the development of a robust open-loop control algorithm for rapidly realizing a deformation with constant stretch history that is desired for extensional rheometry. For entangled fluids such as concentrated solutions and melts the situation is less well defined since the material functions are governed by the molecular weight between entanglements, and the fluids therefore show much less pronounced strain-hardening in transient elongation. We use experiments with semi-dilute/entangled and concentrated/entangled monodisperse polystyrene solutions coupled with time-dependent numerical computations using nonlinear viscoelastic constitutive equations such as the Giesekus model in order to show that an open-loop control strategy is still viable for such fluids. Multiple iterations using a successive substitution may be necessary, however, in order to obtain the true transient extensional viscosity material function. At large strains and high extension rates the extension of fluid filaments in both dilute and concentrated polymer solutions is limited by the onset of purely elastic instabilities which result in necking or peeling of the elongating column. The mode of instability is demonstrated to be a sensitive function of the magnitude of the strain-hardening in the fluid sample. In entangled solutions of linear polymers the observed transition from necking instability to peeling instability observed at high strain rates (of order of the reciprocal of the Rouse time for the fluid) is directly connected to the cross-over from a reptative mechanism of tube orientation to one of chain extension.

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A Characteristics of Shear Strength and Deformation of Decomposed Granite Soil (화강토의 전단강도 및 변형특성)

  • 박병기;이강일
    • Geotechnical Engineering
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    • v.13 no.4
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    • pp.177-198
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    • 1997
  • Since decomposed granite soil shows various characteristics of shear behavior dependent on initial conditions such as weathering degree and grain breakage, it is nacessary to invert ligate stress -strain relationship and changes of shear characteristics for different initial conditions. Associated with abovefnentioned view, direct shear tests, and triaxial compression tutsts(Ef, CD) were carried out in this study for undisturbed and disturbed compacted weathered granite samples obtained from 4 construction work sites with the various weathering degree and components of parent rocks. The deformation behavior of undisturbed samples under small confining stress shows hardening to softening, which is similar to that of over nsolidated clay whereas disturbed weathered granite soils do hardeningfonstant regardless of weathering degree, which is also similar to sedimentary clay. Conventional direct shear-tests for undisturbed samples show a tendency to overestimate cohesion. It is possidle to approximate stress ratio(q/p') and volumetric increment ratio(dv/ds) in the triaxital compression tests by an equation, ($dv/d\varepsilon,=\alpha(M-\eta))$ irrespective of moisture content, weathering degree and disturbance.

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A Rheological Approach on the Predicting of Concrete Creep (유변학을 이용한 콘크리트 크리프 거동 예측)

  • Kwon, Ki-Yeon;Min, Kyung-Hwan;Kim, Yul-Hui;Yoon, Young-Soo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.04a
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    • pp.697-700
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    • 2008
  • The object of this paper is to propose a logical prediction model of a concrete creep using rheology. Rheology is the study on the flow and stress relationship of matter under the influence of an applied stress. It is also estimated as an effective theory to describe concrete long-term deformations. According to a time dependency and a mechanism of occurrence, the proposed creep model was divided into four components, such as an elastic deformation, a long-term creep, a time dependent short-term creep and a time independent short-term creep. Evaluation on an actual creep deformation pattern by time passage confirmed these classification. In order to approve a rationality of the proposed model, most coefficients of each components were derived by the microprestresssolidification theory and design codes. Numerical approaches were also used when it was restricted within narrow limits. Finally, the proposed rheolgical model was verified by actual creep test results and compared with common methods.

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Strength and Deformation Characteristics of Lightweight Foamed Soil Using In-situ Soil (현장발생토를 활용한 경량기포흔합토(LWFS)의 강도 및 변형특성)

  • Yoon Gil-Lim;You Seung-Kyong
    • Journal of the Korean Geotechnical Society
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    • v.20 no.9
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    • pp.125-131
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    • 2004
  • A series of unconfined compression tests were carried out firstly to investigate mechanical behaviors of Lightweight Foamed Soil (LWFS) which is composed of dredged soils, cement and air foam. And secondly, to compare the difference of mechanical characteristic of LWFS with previous research conclusions (Yoon & Kim,2004) by using different dredged soils sampled at Joong-Ma in Gwangyang harbor area. Based on numberous laboratory experiments, it was found that deformation coefficient $(E_{50})$ of LWFS increases with increasing cement contents but decreases with increasing initial water contents of dredged soils. Appropriate regression formula (normalizing factor scheme) which considers relationship between LWFS composing elements, initial water contents of dredged soils, cement, air foam, and uniaxial compression strength or LWFS is proposed for practical applications. Finally, it was clear that, to apply LWFS method to practical projects, certain laboratory test would be necessary to take considerations of soil locality because mechanical charac-teristics of LWFS were surely dependent upon their sampled locations and properties.

A Semi-Implicit Integration for Rate-Dependent Plasticity with Nonlinear Kinematic Hardening (비선형 이동경화를 고려한 점소성 모델의 내연적 적분)

  • Yoon, Sam-Son;Lee, Soon-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.9
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    • pp.1562-1570
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    • 2003
  • The prediction of the inelastic behavior of the structure is an essential part of reliability assessment procedure, because most of the failures are induced by the inelastic deformation, such as creep and plastic deformation. During decades, there has been much progress in understanding of the inelastic behavior of the materials and a lot of inelastic constitutive equations have been developed. The complexity of these constitutive equations generally requires a stable and accurate numerical method. The radial return mapping is one of the most robust integration scheme currently used. Nonlinear kinematic hardening model of Armstrong-Fredrick type has recovery term and the direction of kinematic hardening increment is not parallel to that of plastic strain increment. In this case, The conventional radial return mapping method cannot be applied directly. In this investigation, we expanded the radial return mapping method to consider the nonlinear kinematic hardening model and implemented this integration scheme into ABAQUS by means of UMAT subroutine. The solution of the non-linear system of algebraic equations arising from time discretization with the generalized midpoint rule is determined using Newton method and bisection method. Using dynamic yield condition derived from linearization of flow rule, the integration scheme for elastoplastic and viscoplastic constitutive model was unified. Several numerical examples are considered to demonstrate the efficiency and applicability of the present method.

Evaluation of the Mechanical Characteristics of the Large Stone Asphalt Mixtures (대입경 혼합물의 역학적 특성 평가)

  • Park, Tae-Sun;Kim, Ju-Won;Kim, Yong-Ju
    • International Journal of Highway Engineering
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    • v.2 no.2
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    • pp.129-138
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    • 2000
  • This study presents the mechanical characteristics, such as the permanent deformation and the crack, of the large stone asphalt mixtures. The large stone mixture was studied by Kandhal at NCAT(National Center for Asphalt Technology) in 1989. Japan and Arabian countries adopted the large stone mixture for the pavement construction. The experience and the study results showed that the interlocking of the aggregate system of the large stone mixtures is stable and less dependent on the binder characteristics in high temperature. These properties are known as the rutting resistant parameters. However, the mechanical test results should be supported to prove the benefits of the large stone mixtures. The creep test, resilient modulus tests on three different temperature, wheel tracking test and ravelling tests were conducted to evaluate the performance of the large stone mixtures in this study. The test results were compared with the conventional mixtures and modified asphalt concrete mixtures. The large stone mixtures showed better rutting resistance performance.

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Cut out effect on nonlinear post-buckling behavior of FG-CNTRC micro plate subjected to magnetic field via FSDT

  • Jamali, M.;Shojaee, T.;Mohammadi, B.;Kolahchi, R.
    • Advances in nano research
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    • v.7 no.6
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    • pp.405-417
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    • 2019
  • This research is devoted to study post-buckling analysis of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) micro plate with cut out subjected to magnetic field and resting on elastic medium. The basic formulation of plate is based on first order shear deformation theory (FSDT) and the material properties of FG-CNTRCs are presumed to be changed through the thickness direction, and are assumed based on rule of mixture; moreover, nonlocal Eringen's theory is applied to consider the size-dependent effect. It is considered that the system is embedded in elastic medium and subjected to longitudinal magnetic field. Energy approach, domain decomposition and Rayleigh-Ritz methods in conjunction with Newton-Raphson iterative technique are employed to trace the post-buckling paths of FG-CNTRC micro cut out plate. The influence of some important parameters such as small scale effect, cut out dimension, different types of FG distributions of CNTs, volume fraction of CNTs, aspect ratio of plate, magnitude of magnetic field, elastic medium and biaxial load on the post-buckling behavior of system are calculated. With respect to results, it is concluded that the aspect ratio and length of square cut out have negative effect on post-buckling response of micro composite plate. Furthermore, existence of CNTs in system causes improvement in the post-buckling behavior of plate and different distributions of CNTs in plate have diverse response. Meanwhile, nonlocal parameter and biaxial compression load on the plate has negative effect on post-buckling response. In addition, imposing magnetic field increases the post-buckling load of the microstructure.

The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory

  • Benmansour, Djazia Leila;Kaci, Abdelhakim;Bousahla, Abdelmoumen Anis;Heireche, Houari;Tounsi, Abdelouahed;Alwabli, Afaf S.;Alhebshi, Alawiah M.;Al-ghmady, Khalid;Mahmoud, S.R.
    • Advances in nano research
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    • v.7 no.6
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    • pp.443-457
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    • 2019
  • In this investigation, dynamic and bending behaviors of isolated protein microtubules are analyzed. Microtubules (MTs) can be considered as bio-composite structures that are elements of the cytoskeleton in eukaryotic cells and posses considerable roles in cellular activities. They have higher mechanical characteristics such as superior flexibility and stiffness. In the modeling purpose of microtubules according to a hollow beam element, a novel single variable sinusoidal beam model is proposed with the conjunction of modified strain gradient theory. The advantage of this model is found in its new displacement field involving only one unknown as the Euler-Bernoulli beam theory, which is even less than the Timoshenko beam theory. The equations of motion are constructed by considering Hamilton's principle. The obtained results are validated by comparing them with those given based on higher shear deformation beam theory containing a higher number of variables. A parametric investigation is established to examine the impacts of shear deformation, length scale coefficient, aspect ratio and shear modulus ratio on dynamic and bending behaviors of microtubules. It is remarked that when length scale coefficients are almost identical of the outer diameter of MTs, microstructure-dependent behavior becomes more important.

Evaluation of Brinell Hardness of Coated Surface by Finite Element Analysis: Part 2 - Influence of Substrate and Coating Thickness (유한요소해석에 의한 코팅면의 브리넬 경도 평가: 제2보 - 모재와 코팅두께의 영향)

  • Park, TaeJo;Kang, JeongGuk
    • Tribology and Lubricants
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    • v.37 no.4
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    • pp.144-150
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    • 2021
  • The most cost-effective method of reducing abrasive wear in mechanical parts is increasing their hardness with thin hard coatings. In practice, the composite hardness of the coated substrate is more important than that of the substrate or coating. After full unloading of the load applied to an indenter, its indentation hardness evaluated based on the dent created on the test piece was almost dependent on plastic deformation of the substrate. Following the first part of this study, which proposes a new Brinell hardness test method for a coated surface, the remainder of the study is focused on practical application of the method. Indentation analyses of a rigid sphere and elastic-perfect plastic materials were performed using finite element analysis software. The maximum principal stress and plastic strain distributions as well as the dent shapes according to the substrate yield stress and coating thickness were compared. The substrate yield stress had a significant effect on the dent size, which in turn determines the Brinell hardness. In particular, plastic deformation of the substrate produced dents regardless of the state of the coating layer. The hardness increase by coating behaved differently depending on the substrate yield stress, coating thickness, and indentation load. These results are expected to be useful when evaluating the composite hardness values of various coated friction surfaces.

The nano scale buckling properties of isolated protein microtubules based on modified strain gradient theory and a new single variable trigonometric beam theory

  • Alwabli, Afaf S.;Kaci, Abdelhakim;Bellifa, Hichem;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Alzahrani, Dhafer A.;Abulfaraj, Aala A.;Bourada, Fouad;Benrahou, Kouider Halim;Tounsi, Abdeldjebbar;Mahmoud, S.R.;Hussain, Muzamal
    • Advances in nano research
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    • v.10 no.1
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    • pp.15-24
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    • 2021
  • Microtubules (MTs) are the main part of the cytoskeleton in living eukaryotic cells. In this article, a mechanical model of MT buckling, considering the modified strain gradient theory, is analytically examined. The MT is assumed as a cylindrical beam and a new single variable trigonometric beam theory is developed in conjunction with a modified strain gradient model. The main benefit of the present formulation is shown in its new kinematic where we found only one unknown as the Euler-Bernoulli beam model, which is even less than the Timoshenko beam model. The governing equations are deduced by considering virtual work principle. The effectiveness of the present method is checked by comparing the obtained results with those reported by other higher shear deformation beam theory involving a higher number of unknowns. It is shown that microstructure-dependent response is more important when material length scale parameters are closer to the outer diameter of MTs. Also, it can be confirmed that influences of shear deformation become more considerable for smaller shear modulus and aspect ratios.