• Title/Summary/Keyword: Elastic material

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Alterations of breakdown and collapse pressures due to material nonlinearities

  • Nawrocki, Pawel A.
    • Geomechanics and Engineering
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    • v.1 no.2
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    • pp.155-168
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    • 2009
  • Breakdown pressures obtained from the classic, linear elastic breakdown model are compared with the corresponding pressures obtained using a nonlinear material model. Compression test results obtained on sandstone and siltstone are used for that purpose together with previously formulated nonlinear model which introduces elasticity functions to address nonlinear stress-strain behaviour of rocks exhibiting stress-dependent mechanical properties. Linear and nonlinear collapse pressures are also compared and it is shown that material nonlinearities have significant effect on both breakdown and collapse pressures and on tangential stresses which control breakdown pressure around a borehole. This means that the estimates of ${\sigma}_H$ made using linear models give stress values which are different than the real values in the earth. Thus the importance of a more accurate analysis, such as provided by the nonlinear models, is emphasised. It is shown, however, that the linear elastic model does not necessarily over-predict borehole stresses and the opposite case can be true, depending on rock type and test interpretation.

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.

The Trial Fabrication and Properties of Small-size Disk-Type Ultrasonic Motor Using Travelling wave (진행파를 이용한 소형 디스크타입 초음파 모터의 시작과 특성)

  • 박철현;이종섭;이강원;정수현;채홍인;임기조
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1999.05a
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    • pp.669-672
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    • 1999
  • In this paper, we studied the properties of small-size disk-type ultrasonic motor using travelling wave for the application to the precise control robotic joint motor and fabricated it. The diameter of the ultrasonic motor fabricated was 13mm. Also, the piezoelectric vibrator was constructed by piezoelectric ceramic and elastic material. The piezoelectric ceramic was composed to PZ-PT-PMN which was shown the high electromechanical stability under high vibration level and stainless steel was used as the elastic material in which configuration was disk-type. To conform the capability of application to robotic motor, we measured the change of rotational speed according to applied voltage and applied frequency. As the results, the small-size disk-type ultrasonic motor was able to fabricate, and the revolution speed was 350 (rpm) when input voltage was 55 (Vrms) and applied frequency 160.4 IkHz] under pre-load.

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Analysis of the shear failure process of masonry by means of a meso-scopic mechanical modeling approach

  • Wang, Shuhong;Tang, Chun'an;Jia, Peng
    • Structural Engineering and Mechanics
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    • v.24 no.2
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    • pp.181-194
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    • 2006
  • The masonry is a complex heterogeneous material and its shear deformation and fracture is associated with very complicated progressive failures in masonry structure, and is investigated in this paper using a mesoscopic mechanical modelling, Considering the heterogeneity of masonry material, based on the damage mechanics and elastic-brittle theory, the newly developed Material Failure Process Analysis (MFPA) system was brought out to simulate the cracking process of masonry, which was considered as a three-phase composite of the block phase, the mortar phase and the block-mortar interfaces. The crack propagation processes simulated with this model shows good agreement with those of experimental observations by other researchers. This finding indicates that the shear fracture of masonry observed at the macroscopic level is predominantly caused by tensile damage at the mesoscopic level. Some brittle materials are so weak in tension relative to shear that tensile rather than shear fractures are generated in pure shear loading.

Depth-dependent evaluation of residual material properties of fire-damaged concrete

  • Kim, Gyu-Jin;Kwak, Hyo-Gyoung
    • Computers and Concrete
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    • v.20 no.4
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    • pp.503-509
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    • 2017
  • In this study, fire-damaged concrete was investigated by a nonlinear resonance vibration (NRV) technique, in order to evaluate its residual material properties. For the experiments, five cubic concrete specimens were prepared and four of them were damaged at different temperatures using a furnace. With a thermal insulator wrapped at the sides of specimen, thermal gradation was applied to the samples. According to the peak temperatures and depths of the samples, nonlinearity parameters were calculated with the NRV technique before the tendency of the parameters was evaluated. In addition, compressive strength and dynamic elastic modulus were measured for each sample and a comparison with the nonlinearity parameter was carried out. Through the experimental results, the possibility of the NRV technique as a method for evaluating residual material properties was evaluated.

Modeling of Ring-type Ultrasonic Motor Using Atila (Atila를 이용한 원환형 초음파 모터의 설계)

  • 이동균;조봉희;김현재;한득영;윤석진
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.11a
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    • pp.184-187
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    • 2000
  • In this paper, a ring-type ultrasonic motor divided into 12 sectors was modeled by Atila program using finite element method(FEM). The stator consists of a piezoelectric ceramic poled alternately in opposite directions and elastic material. And the stator dimension was $\Phi$40 (outer diameter), $\Phi$ 30(inner diameter), 0.5mm(ceramic thickness) and 3mm(elastic material thickness). As a simulation result, 6$\lambda$ displacement occurred at approximately 52kHz, and this resonance frequency is similar to calculated result 57kHz. The position of maximum displacement was at the edge of stator.

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Dynamical behavior of the orthotropic elastic material using an analytical solution

  • Balubaid, Mohammed;Abdo, H.;Ghandourah, E.;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • v.25 no.4
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    • pp.331-339
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    • 2021
  • In this work, an analytical solution is provided for the dynamical response of an orthotropic non-homogeneous elastic material. The present study has engineering applications in the fields of geophysical physics, structural elements, plasma physics, and the corresponding measurement techniques of magneto-elasticity. The analytical performances for the elastodynamic equations has been solved regarding displacements. The influences of the rotation, the magnetic field, the non-homogeneity based radial displacement and the corresponding stresses in an orthotropic material are investigated. The variations of the stresses, the displacement, and the perturbation magnetic field have been illustrated. The comparisons is performed using the previous solutions in the magnetic field absence, the non-homogeneity and the rotation.

An analytical solution for equations and the dynamical behavior of the orthotropic elastic material

  • Ramady, Ahmed;Atia, H.A.;Mahmoud, S.R.
    • Advances in concrete construction
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    • v.11 no.4
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    • pp.315-321
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    • 2021
  • In this article, an analytical solution of the dynamical behavior in an orthotropic non-homogeneity elastic material using for elastodynamics equations is investigated. The effects of the magnetic field, the initial stress, and the non-homogeneity on the radial displacement and the corresponding stresses in an orthotropic material are investigated. The analytical solution for the elastodynamic equations has solved regarding displacements. The variation of the stresses, the displacement, and the perturbation magnetic field have shown graphically. Comparisons are made with the previous results in the absence of the magnetic field, the initial stress, and the non-homogeneity. The present study has engineering applications in the fields of geophysical physics, structural elements, plasma physics, and the corresponding measurement techniques of magneto-elasticity.

Out-of-Plane Elastic Buckling of X-Bracing System with Fixed Ends (고정 지점을 갖는 X-브레이싱의 탄성 면외 좌굴)

  • Moon, Ji-Ho;Yoon, Ky-Yong;Lee, Hak-Eun
    • 한국방재학회:학술대회논문집
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    • 2007.02a
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    • pp.293-296
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    • 2007
  • This study investigated the out-of-plane elastic buckling load and effective length factor of X-bracing system. The members of X-bracing system which are studied in this paper are rigidly attached to the structure at their end connections, and are pinned or rigidly connected at their point of intersection. The effective length factors are derived for the general case where the tension and compression brace have different material and geometrical properties.

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HOLD EFFECT IN FINITE TORSION OF A COMPRESSIBLE ELASTIC TUBE

  • Akinola, A.P;Layeni, O.P;Ldejobi, O.A.;Umoru, L.E.
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.323-336
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    • 2004
  • We consider the application of complex variable method to elastic problem and investigate the nonlinear effect of finite torsion of a compressible elastic composite layer. We obtain that as a result of finite deformation approach, a tube subjected to torsion decreases in radius giving rise to a “hold effect”.