• Title/Summary/Keyword: Deformation moduli

Search Result 102, Processing Time 0.029 seconds

Elasto-plastic Anisotropic Wood Material Model for Finite Solid Element Applications (탄소성이방성 솔리드 유한요소법 활용을 위한 목재 재료 모델 생성 연구)

  • Hong, Jung-Pyo;Kim, Chul-Ki;Lee, Jun-Jae;Oh, Jung-Kwon
    • Journal of the Korean Wood Science and Technology
    • /
    • v.42 no.4
    • /
    • pp.367-375
    • /
    • 2014
  • A simplified material model, which was efficiently implemented in a three-dimensional finite solid element (3D FE) analysis for wood was developed. The bi-linear elasto-plastic anisotropic material theory was adopted to describe constitutive relations of wood in three major directions including longitudinal, radial and tangential direction. The assumption of transverse isotropy was made to reduce the requisite 27 material constants to 6 independent constants including elastic moduli, yield stresses and Poisson's ratios in the parallel, and perpendicular to grain directions. The results of Douglas fir compression tests in the three directions were compared to the 3D FE simulation incorporated with the wood material model developed in this study. Successful agreements of the results were found in the load-deformation curves and the permanent deformations. Future works and difficulties expected in the advanced application of the model were discussed.

A Study on the Characterization of Electroless and Electro Plated Nickel Bumps Fabricated for ACF Application (무전해 및 전해 도금법으로 제작된 ACF 접합용 니켈 범프 특성에 관한 연구)

  • Jin, Kyoung-Sun;Lee, Won-Jong
    • Journal of the Microelectronics and Packaging Society
    • /
    • v.14 no.3
    • /
    • pp.21-27
    • /
    • 2007
  • Nickel bumps for ACF(anisotropic conductive film) flip chip application were fabricated by electroless and electro plating and their mechanical properties and impact reliability were examined through the compressive test, bump shear test and drop test. Stress-displacement curves were obtained from the load-displacement data in the compressive test using nano-indenter. Electroplated nickel bumps showed much lower elastic stress limits (70MPa) and elastic moduli ($7.8{\times}10^{-4}MPa/nm$) than electroless plated nickel bumps ($600-800MPa,\;9.7{\times}10^{-3}MPa/nm$). In the bump shear test, the electroless plated nickel bumps were deformed little by the test blade and bounded off from the pad at a low shear load, whereas the electroplated nickel bumps allowed large amount of plastic deformation and higher shear load. Both electroless and electro plated nickel bumps bonded by ACF flip chip method showed high impact reliability in the drop impact test.

  • PDF

Application of Mechanical Crack Model to Numerical Study of Rock Mass Behavior (암석거동의 수치해석적 연구를 위한 균열모형의 적용)

  • Park, Do-hyun;Jeon, Seok-won
    • Journal of Korean Tunnelling and Underground Space Association
    • /
    • v.2 no.2
    • /
    • pp.72-85
    • /
    • 2000
  • Rock is a very complex and heterogeneous material, containing structural flaws due to geologic generation process. Because of those structural flaws, deformation and failure of rock when subjected to differential compressive stresses is non-linear. To simulate the non-linear behavior of rock, mechanical crack models, that is, sliding and shear crack models have been used in several studies. In those studies, non-linear stress-strain curves and various behaviors of rock including the changes of effective elastic moduli ($E_1$, $E_2$, ${\nu}_1$, ${\nu}_2$, $G_2$) due to crack growth were simulated (Kemeny, 1993; Jeon, 1996, 1998). Most of the studies have mainly focused on the verification of the mechanical crack model with relatively less attempt to apply it to practical purposes such as numerical analysis for underground and/or slope design. In this study, the validity of mechanical crack model was checked out by simulating the non-linear behavior of rock and consequently it was applied to a practical numerical analysis, finite element analysis commonly used.

  • PDF

Rate-Dependence of Off-Axis Tensile Behavior of Cross-Ply CFRP Laminates at Elevated Temperature and Its Simulation

  • Takeuchi, Fumi;Kawai, Masamichi;Zhang, Jian-Qi;Matsuda, Tetsuya
    • Advanced Composite Materials
    • /
    • v.17 no.1
    • /
    • pp.57-73
    • /
    • 2008
  • The present paper focuses on experimental verification of the ply-by-ply basis inelastic analysis of multidirectional laminates. First of all, rate dependence of the tensile behavior of balanced symmetric cross-ply T800H/epoxy laminates with a $[0/90]_{3S}$ lay-up under off-axis loading conditions at $100^{\circ}C$ is examined. Uniaxial tension tests are performed on plain coupon specimens with various fiber orientations $[{\theta}/(90-{\theta})]_{3S}$ ($\theta$ = 0, 5, 15, 45 and $90^{\circ}C$) at two different strain rates (1.0 and 0.01%/min). The off-axis stress.strain curves exhibit marked nonlinearity for all the off-axis fiber orientations except for the on-axis fiber orientations $\theta$ = 0 and $90^{\circ}$, regardless of the strain rates. Strain rate has significant influences not only on the off-axis flow stress in the regime of nonlinear response but also on the apparent off-axis elastic modulus in the regime of initial linear response. A macromechanical constitutive model based on a ply viscoplasticity model and the classical laminated plate theory is applied to predictions of the rate-dependent off-axis nonlinear behavior of the cross-ply CFRP laminate. The material constants involved by the ply viscoplasticity model are identified on the basis of the experimental results on the unidirectional laminate of the same carbon/epoxy system. It is demonstrated that good agreements between the predicted and observed results are obtained by taking account of the fiber rotation induced by deformation as well as the rate dependence of the initial Young's moduli.

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
    • /
    • v.44 no.4
    • /
    • pp.431-448
    • /
    • 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.

Elastic Properties and Repeated Deformation Reliabilities of Stiffness-Gradient Stretchable Electronic Packages (강성도 경사형 신축 전자패키지의 탄성특성 및 반복변형 신뢰성)

  • Han, Kee Sun;Oh, Tae Sung
    • Journal of the Microelectronics and Packaging Society
    • /
    • v.26 no.4
    • /
    • pp.55-62
    • /
    • 2019
  • Stiffness-gradient stretchable electronic packages of the soft PDMS/hard PDMS/FPCB structure were processed using the polydimethylsiloxane (PDMS) as the base substrate and the more stiff flexible printed circuit board (FPCB) as the island substrate. The elastic characteristics of the stretchable packages were estimated and their long-term reliabilities on stretching cycles and bending cycles were characterized. With 0.28 MPa, 1.74 MPa, and 1.85 GPa as the elastic moduli of the soft PDMS, hard PDMS, and FPCB, respectively, the effective elastic modulus of the soft PDMS/hard PDMS/FPCB package was estimated as 0.6 MPa. The resistance of the stretchable packages varied for 2.8~4.3% with stretching cycles ranging at 0~0.3 strain up to 15,000 cycles and for 0.9~1.5% with 15,000 bending cycles at a bending radius of 25 mm.

The Mechanical Properties of SMA Concrete Mixture Using Steel Slag Aggregate (제철 슬래그 골재를 이용한 SMA 혼합물의 역학적 특성)

  • Kim, Hyeok-Jung;Na, Il-Ho
    • Journal of the Korean Recycled Construction Resources Institute
    • /
    • v.9 no.1
    • /
    • pp.109-116
    • /
    • 2021
  • In order to replace mineral aggregate used as road pavement materials with steel slag aggregate, this present study evaluated mechanical properties of SMA Concrete mixtures using steel slag aggregate as oxidized slag from electric furnace in iron works. The variables of this experiment are the aggregate type of mineral and steel slag and the sieve sized of 10mm and 13mm. The physical properties inclu ding the specific gravity and absorption rate etc. of the slag aggregate mixtu res satisfied the KS standard as asphalt mixtu re. As a resu lt of evalu ating the mechanical properties of the asphalt mixtures, the optimum asphalt content of the slag aggregate mixtures were lower than that of the mineral aggregate mixtures, but other quality standards were all satisfied. In the deformation strength evaluation, the slag aggregate mixtures were measu red slightly higher than that of the mineral aggregate mixtu res, and the dynamic stability test satisfied the 2,000pass/mm standard value in all specimens. And, the moduli of resilient of the slag aggregate mixtures showed an improved value compared with the mineral aggregate mixtures. Therefore, as the resilient rate of the slag aggregate mixtures improved, it is speculated that there will be an effect of improving public performance according to the repeated traffic load of the vehicle.

A Study on the Undrained Deformation Characteristics of Remoulded Marine Clay (재성형(再成形)한 해성점토(海成粘土)의 비배수(非排水) 변형특성(變形特性)에 관(關)한 연구(硏究))

  • Yoon, Hyun Jung;Kang, Yea Mook;Cho, Seong Seup
    • Korean Journal of Agricultural Science
    • /
    • v.12 no.2
    • /
    • pp.309-323
    • /
    • 1985
  • The Paper describes the observed behaviour in the undrained triaxial condition of marine clays remoulded at various different levels of factors, to find out the effects of restricted factors on the stress-strain characteristics. The conventional triaxial compression tests $({\sigma}1>{\sigma}2={\sigma}3)$ were carried out on the 50mm in diameter and 100mm long cylindrical specimens of Gun-san bay mud under controlled various moisture content, density, axial strain rate and passing on No. 200 sieve. Significant conclusions from this study are; 1. The compressible deviator stress at failure of pure marine clay was observed to increase with the decrease of moulding moisture content. 2. The compressible deviator stress at failure increased with the increasing of moulding dry density. 3. The interaction between moisture content and density on the stress-strain characteristics of marine clay was remarkedly significant, as the result of factorial experimental method. 4. The effect of axial strain rate on stress-strain behaviour was unsignificant in marine clay and but the secant moduli could be pronounced on a slight decreasing with increase of the strain rate. 5. With the increasing of the passing on No. 200 sieve, the deviator stress increased regularly. 6. The multiple regression equation could be modeled for the prediction of stress or strain and the comparison with experimental results relatively proved the accuracy.

  • PDF

The Prediction of Ground Condition ahead of the Tunnel Face using 3-Dimensional Numerical Analysis (3차원 수치해석을 이용한 터널막장 전방 지반 상태의 예측)

  • You Kwang-Ho;Song Han-Chan;Kim Ki-Sun;Lee Dae-Hyuck;Park Yeon-Jun
    • Tunnel and Underground Space
    • /
    • v.14 no.6 s.53
    • /
    • pp.440-449
    • /
    • 2004
  • Rock mass includes natural discontinuities such as joints and faults during its formation. Discontinuities are also referred as planes of weakness because of their weak mechanical characteristics. In the design of underground structures, it is necessary to consider the properties of discontinuities to insure the stability. During the excavation of a tunnel, these discontinuities have to be identified as early as possible so that proper change in excavation method or support design can be made accordingly. The excavation of the tunnel in a stable rock mass causes a 3-dimensional arching effect around the excavation face. It was revealed by previous studies that the existence of a weak zone or a fault zone ahead of tunnel foe induces a typical displacement tendency of convergence. For better understanding of the meaning of influence/trend lines of various displacement components, three-dimensional numerical analyses were conducted while varying deformation moduli, thicknesses and orientations of discontinuities. Numerical results showed that the changes in influence/trend lines of various displacement components were very similar to those by measurements. The discrepancies from the expected values were dependent on the physical properties, thicknesses and orientations of discontinuities.

Experimental investigation of the mechanical behaviors of grouted crushed coal rocks under uniaxial compression

  • Jin, Yuhao;Han, Lijun;Meng, Qingbin;Ma, Dan;Wen, Shengyong;Wang, Shuai
    • Geomechanics and Engineering
    • /
    • v.16 no.3
    • /
    • pp.273-284
    • /
    • 2018
  • A detailed understanding of the mechanical behaviors for crushed coal rocks after grouting is a key for construction in the broken zones of mining engineering. In this research, experiments of grouting into the crushed coal rock using independently developed test equipment for solving the problem of sampling of crushed coal rocks have been carried out. The application of uniaxial compression was used to approximately simulate the ground stress in real engineering. In combination with the analysis of crack evolution and failure modes for the grouted specimens, the influences of different crushed degrees of coal rock (CDCR) and solidified grout strength (SGS) on the mechanical behavior of grouted specimens under uniaxial compression were investigated. The research demonstrated that first, the UCS of grouted specimens decreased with the decrease in the CDCR at constant SGS (except for the SGS of 12.3 MPa). However, the UCS of grouted specimens for constant CDCR increased when the SGS increased; optimum solidification strengths for grouts between 19.3 and 23.0 MPa were obtained. The elastic moduli of the grouted specimens with different CDCR generally increased with increasing SGS, and the peak axial strain showed a slightly nonlinear decrease with increasing SGS. The supporting effect of the skeleton structure produced by the solidified grouts was increasingly obvious with increasing CDCR and SGS. The possible evolution of internal cracks for the grouted specimens was classified into three stages: (1) cracks initiating along the interfaces between the coal blocks and solidified grouts; (2) cracks initiating and propagating in coal blocks; and (3) cracks continually propagating successively in the interfaces, the coal blocks, and the solidified grouts near the coal blocks. Finally, after the propagation and coalescence of internal cracks through the entire specimens, there were two main failure modes for the failed grouted specimens. These modes included the inclined shear failure occurring in the more crushed coal rock and the splitting failure occurring in the less crushed coal rock. Both modes were different from the single failure mode along the fissure for the fractured coal rock after grouting solidification. However, compared to the brittle failure of intact coal rock, grouting into the different crushed degree coal rocks resulted in ductile deformation after the peak strength for the grouted specimens was attained.