• Title/Summary/Keyword: Material moduli

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Application of Hydrated Lime-Modified Asphalt Mixture Properties to Korean Pavement Research Program (한국형 도로포장 설계 프로그램의 소석회 사용 아스팔트 혼합물 특성 적용)

  • Kim, Dowan;Lee, Sangyum;Mun, Sungho
    • International Journal of Highway Engineering
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    • v.17 no.4
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    • pp.69-75
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    • 2015
  • PURPOSES : The hydrated lime-modified asphalt, which improves moisture resistance, is normally used for pavements to reduce the number of potholes. However, the method of applying the material properties of the lime-modified asphalt mixture for use in pavements is not covered in the Korean Pavement Research Program (KPRP). The objective of this research is to find a method for the design application of lime-modified asphalt's material properties to the KPRP. METHODS: The section for test design is selected in some conditions which are related to the level of design regarding Annual Average Daily Traffic (AADT). To define the application methods of hydrated lime in the KPRP, the models of fatigue, rut and international roughness index (IRI) are determined based on the M-EPDG test results from some earlier research results. Moreover, it is well known that dynamic moduli of the unmodified mixture are not different from those of the lime-modified mixture. RESULTS: The performance results of hydrated lime-modified asphalt pavement were not very much different from those of the unmodified pavement, which meant the limited design regulations regarding fatigue failure, rutting deformation and IRI. CONCLUSIONS: The KPRP uses the weather model from the data for previous 10 years. It implies that the KPRP cannot predict abnormal climate changes accurately. Hence, the predictive weather data regarding the abnormal climate changes are unreliable. Secondly, the KPRP cannot apply the moisture resistance of asphalt mixtures. Therefore, a second level of design study will have to be performed to reflect the influence of moisture. It means that the influence on pavement performance can be changed by the application of hydrated lime in asphalt mixture design.

Resilient Moduli of Sub-ballast and Subgrade Materials (강화노반 및 궤도하부노반 재료의 회복탄성계수)

  • Park, Chul-Soo;Choi, Chan-Yong;Choi, Choong-Lak;Mok, Young-Jin
    • Journal of the Korean Society for Railway
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    • v.11 no.1
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    • pp.54-60
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    • 2008
  • In the trackbed design using elastic multilayer model, the stress-dependent resilient modulus $(E_R)$ is an important input parameter, that is, reflects substructure performance under repeated traffic loading. However, the evaluation method for resilient modulus using repeated loading triaxial test is not fully developed for practical purpose, because of costly equipment and the significantly fluctuated values depending on the testing equipment and laboratory personnel. The this study, the paper will present an indirect method to estimate the resilient modulus using dynamic properties. The resilient modulus of crushed stone, which is the typical material of sub-ballast, was calculated with the measured dynamic properties and the range of stress level of the sub-ballast, and approximated with the power model combined with bulk and deviatoric stresses. The resilient modulus of coarse grained material decreases with increasing deviatoric stress at a confining pressure, and increases with increasing bulk stress. Sandy soil (SM classified from Unified Soil Classification System) of subgrade was also evaluated and best fitted with the power model of deviatoric stress only.

Improvement in Inorganic Affinity of Acrylic Materials for Conservation Treatment of Stone Cultural Assets (석조문화재를 위한 아크릴계 보존처리제의 무기친화성 개선)

  • Kim, Youn-Cheol;Kim, Un-Young;Kim, Hyung-Joong
    • Polymer(Korea)
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    • v.34 no.1
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    • pp.14-19
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    • 2010
  • Applying acrylic silane monomer for determent of weathering damage of stone cultural assets from various sources was investigated to improve inorganic affinity of polymer impregnated to the stone for conservation treatment using impregnation of acrylic polymers under pressure. Radical polymerization was carried out with various mixture ratios of methacrylate (MMA), as the base monomer, and vinyl trimethoxy silane (VTMS). Subsequently, according to the changes of glass transition temperatures, average molecular weights, and storage moduli of the obtained copolymers, the case of adding 1 wt% of benzoyl peroxide, polymerization for 8 hrs, and mixing 5 mol% of VTMS to MMA was the optimum condition of monomer ratio and polymerization. Practically, fresh granites collected in domestic site and weathered stones were treated by following the obtained result above, and then, the moisture absorption, impact, acid resistance, and adhesion properties of the treated stones were compared to those of the corresponding stones treated with MMA only. It was found that those properties of the stones treated with PMV5 were considerably improved.

A Preliminary Study on the Development of a High Elastic Modulus and Low-Shrinkage Roller-Compacted Concrete Base for Composite Pavement (복합포장용 고탄성 저수축 롤러전압콘크리트 기층 개발을 위한 기초연구)

  • Chung, Gun Woo;Lee, Seung Woo
    • International Journal of Highway Engineering
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    • v.19 no.1
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    • pp.45-52
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    • 2017
  • PURPOSES : The main purpose of this study is to develop a high elastic modulus and low-shrinkage roller-compacted concrete base (RCCB) in order to prevent fatigue cracking and reflective cracking in the asphalt surface layer of composite pavement. Using a rigid base material with low shrinkage can be a solution to this problem. Moreover, a strong rigid base with high elastic modulus is able to shift the location of critical tensile strain from the bottom of the asphalt layer to the bottom of the rigid base layer, which can prevent fatigue cracking in the asphalt layer. METHODS : Sensitivity analysis of composite pavement via numerical methods is implemented to determine an appropriate range of elastic modulus of the rigid base that would eliminate fatigue cracking. Various asphalt thicknesses and elastic moduli of the rigid base are used in the analysis to study their respective influences on fatigue cracking. Low-shrinkage RCC mixture, as determined via laboratory testing with various amounts of a CSA expansion agent (0%, 7%, and 10%), is found to achieve an appropriate low-shrinkage level. Shrinkage of RCC is measured according to KS F 2424. RESULTS : This study shows that composite pavements comprising asphalt thicknesses of (h1) 2 in. with E2 > 19 GPa, 4 in. with E2 > 15 GPa, and 6 in. with E2 > 11 GPa are able to eliminate tensile strain in the asphalt layer, which is the cause of fatigue cracking in this layer. Shrinkage test results demonstrate that a 10% CSA RCC mixture can reduce shrinkage by 84% and 93% as compared to conventional RCC and PCC, respectively. CONCLUSIONS : According to the results of numerical analyses using various design inputs, composite pavements are shown to be able to eliminate fatigue cracking in composite pavement. Additionally, an RCC mixture with 10% CSA admixture is able to reduce or eliminate reflective cracking in asphalt surfaces as a result of the significant shrinkage reduction in the RCC base. Thus, this low-shrinkage base material can be used as an alternative solution to distresses in composite pavement.

A 3D RVE model with periodic boundary conditions to estimate mechanical properties of composites

  • Taheri-Behrooz, Fathollah;Pourahmadi, Emad
    • Structural Engineering and Mechanics
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    • v.72 no.6
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    • pp.713-722
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    • 2019
  • Micromechanics is a technique for the analysis of composites or heterogeneous materials which focuses on the components of the intended structure. Each one of the components can exhibit isotropic behavior, but the microstructure characteristics of the heterogeneous material result in the anisotropic behavior of the structure. In this research, the general mechanical properties of a 3D anisotropic and heterogeneous Representative Volume Element (RVE), have been determined by applying periodic boundary conditions (PBCs), using the Asymptotic Homogenization Theory (AHT) and strain energy. In order to use the homogenization theory and apply the periodic boundary conditions, the ABAQUS scripting interface (ASI) has been used along with the Python programming language. The results have been compared with those of the Homogeneous Boundary Conditions method, which leads to an overestimation of the effective mechanical properties. According to the results, applying homogenous boundary conditions results in a 33% and 13% increase in the shear moduli G23 and G12, respectively. In polymeric composites, the fibers have linear and brittle behavior, while the resin exhibits a non-linear behavior. Therefore, the nonlinear effects of resin on the mechanical properties of the composite material is studied using a user-defined subroutine in Fortran (USDFLD). The non-linear shear stress-strain behavior of unidirectional composite laminates has been obtained. Results indicate that at arbitrary constant stress as 80 MPa in-plane shear modulus, G12, experienced a 47%, 41% and 31% reduction at the fiber volume fraction of 30%, 50% and 70%, compared to the linear assumption. The results of this study are in good agreement with the analytical and experimental results available in the literature.

Size-dependent analysis of functionally graded ultra-thin films

  • Shaat, M.;Mahmoud, F.F.;Alshorbagy, A.E.;Alieldin, S.S.;Meletis, E.I.
    • Structural Engineering and Mechanics
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    • v.44 no.4
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    • pp.431-448
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    • 2012
  • In this paper, the first-order shear deformation theory (FSDT) (Mindlin) for continuum incorporating surface energy is exploited to study the static behavior of ultra-thin functionally graded (FG) plates. The size-dependent mechanical response is very important while the plate thickness reduces to micro/nano scales. Bulk stresses on the surfaces are required to satisfy the surface balance conditions involving surface stresses. Unlike the classical continuum plate models, the bulk transverse normal stress is preserved here. By incorporating the surface energies into the principle of minimum potential energy, a series of continuum governing differential equations which include intrinsic length scales are derived. The modifications over the classical continuum stiffness are also obtained. To illustrate the application of the theory, simply supported micro/nano scaled rectangular films subjected to a transverse mechanical load are investigated. Numerical examples are presented to present the effects of surface energies on the behavior of functionally graded (FG) film, whose effective elastic moduli of its bulk material are represented by the simple power law. The proposed model is then used for a comparison between the continuum analysis of FG ultra-thin plates with and without incorporating surface effects. Also, the transverse shear strain effect is studied by a comparison between the FG plate behavior based on Kirchhoff and Mindlin assumptions. In our analysis the residual surface tension under unstrained conditions and the surface Lame constants are expected to be the same for the upper and lower surfaces of the FG plate. The proposed model is verified by previous work.

Behavior of Orthotropic Composite Plate Due to Random Poisson's Ratio (직교이방성 복합적층구조의 거동: 포아송비의 임의성에 의한 영향)

  • Noh, Hyuk-Chun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.6
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    • pp.627-637
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    • 2009
  • Composite materials have been employed in the various engineering applications due to high mechanical performances including high strength-weight ratio and high degree of free formability. Due to complex manufacturing process, however, it can have intrinsic randomness in the material constants which affect the deterministic behavior of the composite structures. In this study, we suggest a formulation for stochastic finite element analysis considering the spatial randomness of Poisson's ratio. Considering the reciprocal relation between elastic moduli and Poisson's ratios in the two mutually orthogonal axes, one of two values of Poisson's ratio can be expressed in terms of the other. Using this, the relation between stress resultants and strains is derived in the ascending order of power of the stochastic field function, which can be directly used in the formulation to obtain the coefficient of variation of responses. The adequacy of the proposed scheme is demonstrated by comparison with the results of Monte Carlo analysis.

The Stress Distribution around a Circular Hole Reinforced by a Ring of Different Material in a Plate under Biaxial Loading (이질원환(異質圓環)으로 보강(補强)된 원형(圓形)구멍 주위(周圍)에서의 응력분포(應力分布))

  • S.J.,Yim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.6 no.1
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    • pp.43-67
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    • 1969
  • The effect of a circular hole reinforced by a ring of different material in a plate under biaxial loadings is considered. In this problem, an infinitely large flat is assumed. The reinforcing ring is of uniform rectangular cross-section of same thickness as the plate. The outer boundary of the ring is cemented to the inner boundary of the hole in the plate. The plate is subjected to hydrostatic tension and pure shear loadings. The stress distribution around the hole is obtained by means of the two dimensional theory of elasticity. To conform the validities of above solutions, a series of photo-elastic stress analysis for a composite model was carried out. Fair agreements were observed between two sets of values. The conclusions arrived at are as follows: 1) The theoretical solutions are exact ones for the case of infinitely large flat plate. 2) The solutions can be used for most case of engineering problem if the bonding between the plate and ring is perfect. 3) If the ratio of Young's moduli of the ring and the plate is increased, the stresses in the plate decrease whereas those in the ring increase. 4) The stress concentration near the hole has localized effect. 5) Under hydrostatic tension, maximum principal stress and maximum shear stress increase as the ratio of inner and outer diameters of the ring increases. 6) Under pure shear, the stresses depend upon angular orientations of the points and maximum principal stress and maximum shear stress appear at 45 degree. They increase as the ratio of inner and outer diameters of the ring increases.

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Analysis of Elastic Constants in SiC Particulate Reinforced Al Matrix Composites by Resonant Ultrasound Spectroscopy (초음파 공명 분광법(RUS)을 이용한 SiC 입자강화 Al 기지복합재료의 탄성계수 해석)

  • Jung, Hyun-Kyu;Cheong, Yong-Moo;Joo, Young-Sang;Hong, Soon-Hyung
    • Journal of the Korean Society for Nondestructive Testing
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    • v.19 no.3
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    • pp.180-188
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    • 1999
  • The dynamic elastic properties of metal matrix composites were investigated by resonant ultrasound spectroscopy(RUS). The composites used in this study consisted of 2124 aluminum alloy reinforced with different concentrations of SiC particles. RUS can determine the nine independent elastic stiffness($C_{ij}$) for the orthorhombic symmetry on a small specimen simultaneously. The elastic constants were determined as a function of the volume fraction. A concept of effective aspect ratio. which combine the aspect ratio and the orientation of reinforcement. was used to calculate the initial moduli from Mori-Tanaka theory for the input of RUS minimization code. Young's moduli can be obtained from the measured stiffnesses. The results show that the elastic stiffness increases with increment of the particle content. The behavior of elastic stiffness indicates that the particle redistribution induced by the extrusion process enlarges the transversely isotropic symmetry as the fraction of reinforced particles increase. This relationship could be used for determination of the volume fractions of reinforcement as a potential tool of nondestructive material characterization.

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Numerical Analysis of Warpage and Stress for 4-layer Stacked FBGA Package (4개의 칩이 적층된 FBGA 패키지의 휨 현상 및 응력 특성에 관한 연구)

  • Kim, Kyoung-Ho;Lee, Hyouk;Jeong, Jin-Wook;Kim, Ju-Hyung;Choa, Sung-Hoon
    • Journal of the Microelectronics and Packaging Society
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    • v.19 no.2
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    • pp.7-15
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    • 2012
  • Semiconductor packages are increasingly moving toward miniaturization, lighter and multi-functions for mobile application, which requires highly integrated multi-stack package. To meet the industrial demand, the package and silicon chip become thinner, and ultra-thin packages will show serious reliability problems such as warpage, crack and other failures. These problems are mainly caused by the mismatch of various package materials and geometric dimensions. In this study we perform the numerical analysis of the warpage deformation and thermal stress of 4-layer stacked FBGA package after EMC molding and reflow process, respectively. After EMC molding and reflow process, the package exhibits the different warpage characteristics due to the temperature-dependent material properties. Key material properties which affect the warpage of package are investigated such as the elastic moduli and CTEs of EMC and PCB. It is found that CTE of EMC material is the dominant factor which controls the warpage. The results of RSM optimization of the material properties demonstrate that warpage can be reduced by $28{\mu}m$. As the silicon die becomes thinner, the maximum stress of each die is increased. In particular, the stress of the top die is substantially increased at the outer edge of the die. This stress concentration will lead to the failure of the package. Therefore, proper selection of package material and structural design are essential for the ultra-thin die packages.