• Title/Summary/Keyword: mixture rule

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Micro-electromechanical Model of a Piezoelectric fiber/Piezopolymer matrix composite Actuator (압전섬유/압전지지 복합재 작동기의 전기-기계적 마이크로모델)

  • Kim, Cheol;Koo, Kun-Hyung
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.372-377
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    • 2001
  • Piezoelectric Fiber Composites with Interdigitated Electrodes (PFCIDE) were previously introduced as an alternative to monolithic wafers with conventional electrodes for applications of structural actuation. This paper is an investigation into the performance improvement of piezoelectric fiber composite actuators by changing the matrix material. This paper presents a modified micro-electromechanical model of a piezoelectric fiber/piezopolymer matrix composite actuator with interdigitated electrodes (PFPMIDE). Various concepts from different backgrounds including three-dimensional linear elastic and dielectric theories have been incorporated into the present linear piezoelectric model. The rule of mixture and the modified method to calculate the effective properties of fiber composites are extended to apply to the PFPMIDE model. The new model is validated comparing with available experimental data and other analytical results.

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Development of a PZT Fiber/Piezo-Polymer Composite Actuator with Interdigitated Electrodes

  • Kim, Cheol;Koo, Kun-Hyung
    • Journal of Mechanical Science and Technology
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    • v.16 no.5
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    • pp.666-675
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    • 2002
  • Piezoelectric Fiber Composites with Interdigitated Electrodes (PFCIDE) were previously introduced as an alternative to monolithic wafers with conventional electrodes for applications of structural actuation. This paper is an investigation into the performance improvement of piezoelectric fiber composite actuators by changing the matrix material. This paper presents a modified micro-electromechanical model and numerical analyses of piezoelectric fiber/piezopolymer matrix composite actuator with interdigitated electrodes (PFPMIDE). Various concepts from different backgrounds including three-dimensional linear elastic and dielectric theories have been incorporated into the present linear piezoelectric model. The rule of mixture and the modified method to calculate effective properties of fiber composites were extended to apply to the PFPMIDE model. The new model was validated when compared with available experimental data and other analytical results. To see the structural responses of a composite plate integrated with the PFPMIDE, three-dimensional finite element formulations were derived. Numerical analyses show that the shape of the graphite/epoxy composite plate with the PFPMIDE may be controlled by judicious choice of voltages, piezoelectric fiber angles, and elastic tailoring of the composite plate.

Forced vibration response in nanocomposite cylindrical shells - Based on strain gradient beam theory

  • Shokravi, Maryam
    • Steel and Composite Structures
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    • v.28 no.3
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    • pp.381-388
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    • 2018
  • In this paper, forced vibration of micro cylindrical shell reinforced by functionally graded carbon nanotubes (FG-CNTs) is presented. The structure is subjected to transverse harmonic load and modeled by beam model. The size effects are considered based on strain gradient theory containing three small scale parameters. The mixture rule is used for obtaining the effective material properties of the structure. Based on sinusoidal shear deformation theory of beam, energy method and Hamilton's principle, the motion equations are derived. Applying differential quadrature method (DQM) and Newmark method, the frequency curves of the structure are plotted. The effect of different parameters including, CNTs volume percent and distribution type, boundary conditions, size effect and length to thickness ratio on the frequency curves of the structure is studied. Numerical results indicate that the dynamic deflection of the FGX-CNT-reinforced cylindrical is lower with respect to other type of CNT distribution.

Analysis of Prestressed Concrete Slab Bridge by the Beam Theory (보 이론에 의한 PSC 슬래브 교량의 해석)

  • Han, Bong-Koo;Kim, Duk-Hyun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.7 no.2
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    • pp.115-124
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    • 2003
  • A prestressed concrete slab bridge is analyzed by the specially orthotropic laminates theory. Both the geometry and the material of the cross section of the slab are considered symmetrical with respect to the mid-surface so that the bending extension coupling stiffness, $B_{ij}=0$, and $D_{16}=D_{26}=0$. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of rule of mixture. This bridge with simple support is under uniformly distributed vertical and axial loads. In this paper, the finite difference method and the beam theory are used for analysis. The result of beam analysis is modified to obtain the solution of the plate analysis.

Finite Element Analysis of Diaphragm Type Air Springs considering the Variation of Fiber Angles (섬유의 적층각을 고려한 다이아프램형 공기 스프링의 유한요소 해석)

  • Lee, Hyeoun-Guk;Kim, Se-Ho;Heo, Hun;Kim, Jin-Yeong;Chung, Su-Gyo
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 1999.04a
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    • pp.29-33
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    • 1999
  • this paper concerned with the stress analysis of a diaphragm-type air spring which consists of rubber linings nylon reinforced rubber composite. The analysis is carried out with a finite element method developed to consider the orthotropic properties geometric non-linearity and contact between an air bag and a bead ring The material properties are evaluated with the Halpio-Tsai equations and the rule of mixture. The analysis results demonstrate the variation of the outer diameter the fold height and the vertical force with different models to the design a proper diaphragm air springs.

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Analysis of Post-tensioned Slab Bridge by Means of Specially Orthotropic Theory (특별직교이방성 이론에 의한 포스트텐션 슬래브교의 해석)

  • Han, Bong-Koo;Bang, Bae-San
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.4
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    • pp.13-17
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    • 2010
  • A post-tensioned slab bridge is analyzed by the specially orthotropic theory. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of rule of mixture. This slab bridge with simple support is under uniformly distributed vertical and axial loads. In this paper, the finite difference method and the beam theory are used for analysis. The result of beam analysis is modified to obtain the solution of the plate analysis. The result of this paper can be used for post-tensioned slab bridge analysis by the engineers with undergraduate study in near future.

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A Study on the Stress Analysis of Discontinuous Fiber Reinforced Polymer Matrix Composites (불연속 섬유강화 고분자 복합재료의 응력해석에 관한 연구)

  • Kim, H.G.
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.3
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    • pp.101-107
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    • 2008
  • A composite mechanics for discontinuous fiber reinforced polymer matrix composites(PMC) is analysed in order to predict fiber axial stresses. In continuum approach. frictional slip which usually takes place between fibers and polymers is accounted to derive PMC equations. The interfacial friction stress is treated by the product of the coefficient of friction and the compressive stress norma1 to the fiber/matrix interface. The residual stress and the Poisson's contraction implemented by the rule of mixture(ROM) are considered for the compressive stress normal to the fiber/matrix interface. In addition. the effects of fiber aspect ratio and fiber volume fraction on fiber axial stresses are evaluated using the derived equations. Results are illustrated numerically using the present equations with reasonable materials data. It is found that the fiber axial stress in the center region shows no great discrepancy for different fiber aspect ratios and fiber volume fractions while some discrepancies are shown in the fiber end region.

Characterization and processing of Biodegradable polymer blends of poly(lactic acid) with poly(butylene succinate adipate)

  • Lee, Sang-Mook;Lee, Jae-Wook
    • Korea-Australia Rheology Journal
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    • v.17 no.2
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    • pp.71-77
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    • 2005
  • We investigated thermal, rheological, morphological and mechanical properties of a binary blend of poly(lactic acid) (PLA) and poly(butylene succinate adipate) (PBSA). The blends were extruded and their molded properties were examined. DSC thermograms of blends indicated that the thermal properties of PLA did not change noticeably with the amount of PBSA, but thermogravimetric analysis showed that thermal stability of the blends was lower than that of pure PLA and PBSA. Immiscibility was checked with thermal data. The rheological properties of the blends changed remarkably with composition. The tensile strength and modulus of blends decreased with PBSA content. Interestingly, however, the impact strength of PLA/PBSA (80/20) blend was seriously increased higher than the rule of mixture. Morphology of the blends showed a typical sea and island structure of immiscible blend. The effect of the blend composition on the biodegradation was also investigated. In the early stage of the degradation test, the highest rate was observed for the blend containing $80wt\%$ PBSA.

Prediction of the critical buckling load of SWCNT reinforced concrete cylindrical shell embedded in an elastic foundation

  • Timesli, Abdelaziz
    • Computers and Concrete
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    • v.26 no.1
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    • pp.53-62
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    • 2020
  • Concrete is the most widely used substance in construction industry, so it's been required to improve its quality using new technologies. Nowadays, nanotechnology offers new frontiers for improving construction materials. In this paper, we study the stability analysis of the Single Walled Carbon Nanotubes (SWCNT) reinforced concrete cylindrical shell embedded in elastic foundation using the Donnell cylindrical shell theory. In this regard, we propose a new explicit analytical formula of the critical buckling load which takes into account the distribution of SWCNT reinforcement through the thickness of the concrete shell using the U, X, O and V forms and the elastic foundation using Winkler and Pasternak models. The rule of mixture is used to calculate the effective properties of the reinforced concrete cylindrical shell. The influence of diverse parameters on the stability behavior of the reinforced concrete shell is also discussed.

On bending, buckling and vibration responses of functionally graded carbon nanotube-reinforced composite beams

  • Tagrara, S.H.;Benachour, Abdelkader;Bouiadjra, Mohamed Bachir;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • v.19 no.5
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    • pp.1259-1277
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    • 2015
  • In this work, a trigonometric refined beam theory for the bending, buckling and free vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams resting on elastic foundation is developed. The significant feature of this model is that, in addition to including the shear deformation effect, it deals with only 3 unknowns as the Timoshenko beam (TBM) without including a shear correction factor. The single-walled carbon nanotubes (SWCNTs) are aligned and distributed in polymeric matrix with different patterns of reinforcement. The material properties of the CNTRC beams are assessed by employing the rule of mixture. To examine accuracy of the present theory, several comparison studies are investigated. Furthermore, the effects of different parameters of the beam on the bending, buckling and free vibration responses of CNTRC beam are discussed.