• Title/Summary/Keyword: critical strain energy

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Evaluation of Alternative Approaches for Nonlinear Cross-anisotropic Parameters on the Small Strain Model based on Triaxial Test Results (삼축 시험을 이용한 미소 변형 모델의 비선형 직교 이방 계수에 대한 평가 방법 고찰)

  • Chun, Sung-Ho;Chung, Choong-Ki
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.286-300
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    • 2006
  • Nonlinear cross-anisotropic properties of soil is critical for exact numerical simulation. Theoretically, initial cross-anisotropic properties can be evaluated from triaxial tests with bender element tests, and nonlinear cross-anisotropic properties over initial strain level cannot be evaluated from triaxial tests. In this study, a supposed condition among nonlinear cross-anisotropic properties is suggested to calculate nonlinear cross-anisotropic properties from triaxial tests. Maximum strain and incremental strain energy are applied to combine triaxial test results and theoretical normalized shear modulus curve, respectively Based on combined results, nonlinear cross-anisotropic properties are calculated. Numerical simulation for triaxial tests Is carried out to verify the applicability of the supposed condition with calculated cross-anisotropic properties and simplified nonlinear cross-anisotropic model.

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Effect of Outer Edge Flame on Flame Extinction in Counterflow Diffusion Flames (대향류 확산화염에서 에지화염이 화염소화에 미치는 영향)

  • Chung, Yong-Ho;Park, Dae-Geun;Park, Jeong;Yun, Jin-Han;Kwon, Oh-Boong;Keel, Sang-In
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.36 no.2
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    • pp.181-188
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    • 2012
  • The present study on nitrogen-diluted non-premixed counterflow flames with finite burner diameters experimentally investigates the important role of the outer edge flame in flame extinction. Flame stability diagrams mapping the flame extinction response of nitrogen-diluted non-premixed counterflow flames to varying global strain rates in terms of the burner diameter, burner gap, and velocity ratio are explored. There exists a critical nitrogen mole fraction beyond which the flame cannot be sustained, and also the curves of the critical nitrogen mole fraction versus the global strain rate have C-shapes in terms of burner diameter, burner gap, and velocity ratio. In flames with sufficiently high strain rates, the curves of the critical nitrogen mole fractions versus global strain rate collapse into one curve, and the flames can have the 1-D flame response of typical diffusion flames. Three flame extinction modes are identified: flame extinctions through the shrinkage of the outer edge flame with and without an oscillation of the outer edge flame prior to the extinction and flame extinction through a flame hole at the flame center. The measured flame surface temperature and a numerical evaluation of the fractional contribution of each term in the energy equation show that the radial conductive heat loss at the flame edge destabilizes the outer edge flame, and the conductive and convection heat addition to the outer edge from the trailing diffusion flame stabilizes the outer edge flame. The radial conductive heat loss at the flame edge is the dominant extinction mechanism acting through the shrinkage of the outer edge flame.

A Study on the Coating Cracking on a Substrate in Bending I : Theory (굽힘모드하에서의 코팅크랙킹의 분석 I : 이론)

  • Sung-Ryong Kim;John A. Nairn
    • Composites Research
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    • v.13 no.3
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    • pp.38-47
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    • 2000
  • The coating cracking on a substrate system was analyzed using a fracture mechanics approach. Multiple cracking in the bending configuration was analyzed using a variational mechanics approach to fracture mechanics of coatin $g_strate system. The strain energy release rate on bending geometry developed permits the prediction of crack growth in the coating layer on a substrate. Also, it can be used appropriately to the characterization of multiple cracking of coating. The obtained critical strain energy release rate (in-situ fracture toughness) will be a material property of coating and it will provide a better insight into coating cracking.ng.

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Phase Diagrams and Stable Structures of Stranski-Krastanov Structure Mode for III-V Ternary Quantum Dots

  • Nakaima, Kazuno;Ujihara, Toru;Miyashita, Satoru;Sazaki, Gen
    • Proceedings of the Korea Association of Crystal Growth Conference
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    • 1999.06a
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    • pp.81-114
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    • 1999
  • The strain, surface and inerfacial energies of III-V ternary systems were calculated for three kinds of structure modes: the Frank-van der Merwe (FM) mode, the Stranski-Krastanov (SK) mode an the Volmer-Wever (VW) mode. The free energy for each mode was estimated as functions of the thickness and composition or lattice misfit. Through comparison of the free energy of each mode, it was found that the thickness-composition phase diagrams of III-V ternary systems can be determined only by considering the balance of the free energy and three kinds of structure modes appear in the phase diagrams. The SK mode appears only when the lattice misfit is large and/or the lattice layer is thick. The most stable structure of the SK mode is a cluster with four lattice layers or minimum thickness on a wetting layer of increasing lattice layers. The VW mode appears when the lattice misfit is large and the lattice layer is thin and only in the InPSb/InP and GaPSb/GaP systems which have the largest lattice misfit of III-V ternary systems. The stable region of the SK mode in the GaPSb/GaP and InPSb/InP phase diagrams is largest of all because the composition dependence of the strain energy of these systems is stronger than that of the other systems. The critical number of lattice layers below which tow-dimensional (2D) layers precede the three-dimensional (3D) nucleation in the SK mode at x=1.0 depnds on the lattice misfit.

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A Study on the Unstable Crack Growth of Concrete (콘크리트의 불안정 균열성장에 관한 연구)

  • Ko, Young Zoo;Bae, Ju Seong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.3
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    • pp.29-36
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    • 1991
  • This experimental research evaluated the length of crack extension with the measured compliances as the mutual comparison factors instead of the method proposed in ASTM E561-80. And this research measured the R-curves with the application to the concept of the strain energy release rate that was formulated from the inelastic energy absorbed during the crack growth. With the interpretation of R-curves, this research obtained the starting point of the unstable crack growth, and compared the values of critical fracture toughness with each other, and then examined the effects of variations of the maximum size of coarse aggregate and the thickness of specimen on the values of the critical fracture toughness.

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Analytical Study on Interface Debonding of Reinforced Concrete Beams Strengthened with Carbon Fiber Sheet(CFS) (탄소섬유쉬트로 보강된 철근콘크리트보의 계면박리에 대한 해석적 연구)

  • Sim, Jong-Sung;Bae, In-Hwan
    • Magazine of the Korea Concrete Institute
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    • v.11 no.2
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    • pp.177-186
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    • 1999
  • The purpose of this study is to analyze the interface debonding of RC beams strengthened by carbon fiber sheet(CFS). The behavior of damaged RC beams strengthened with CFS is analytically investigated next using linear elastic fracture mechanics(LEFM) approach and the finite element method. The study includes an investigation of the separation mode by interface fracture of the strengthening materials due to the interfacial shear and normal stresses. The numerical method is presented to obtain the value of interfacial fracture parameter such as the strain energy release rate. Based on the results of this study, it is found that the critical case occurs when the interfacial cracks occur within a short region of the flexural crack. The CFS strengthening has not an adequate factor of safety against interfacial debonding of CFS. Furthermore, for the thicknesses of the adhesive studied[1mm~3mm], it is no noticeable effect on the strain energy release rate.

Evaluation of Fracture Toughness Characteristics of Pultruded CFRP Spar-Cap Materials with Non-woven Glass Fabric for Wind Blade (유리섬유 부직포가 삽입된 풍력 블레이드 인발 성형 스파캡 소재의 파괴인성 특성 평가)

  • Young Cheol Kim;Geunsu Joo;Jisang Park;Woo-Kyoung Lee;Min-Gyu Kang;Ji Hoon Kim
    • Journal of Wind Energy
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    • v.14 no.3
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    • pp.83-90
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    • 2023
  • The purpose of this study is to evaluate the inter-laminar fracture toughness characteristics of CFRP pultrusion spar cap materials reinforced with non-woven glass fabric. Test specimens were fabricated by the infusion technique. A non-woven glass fabric and artificial defects were embedded on the middle surface between two pultruded CFRP panels. Double cantilever beam (DCB) and End Notched Flexure (ENF) tests were performed according to ASTM standards. Fracture toughness and crack propagation characteristics were evaluated with load-displacement curves and delamination resistance curves (R-Curve). The fracture toughness results were calculated by compliance calibration (CC) method. The initiation and propagation values of Mode-I critical strain energy release rate value GIc were 1.357 kJ/m2 and 1.397 kJ/m2, respectively, and Mode-II critical strain energy release rate values GIIc were 4.053 kJ/m2 for non-precracked test and 4.547 kJ/m2 for precracked test. It was found that the fracture toughness properties of the CFRP pultrusion spar-cap are influenced by the interface between the layers of CFRP and glass fiber non-woven.

Extension of a new tailoring optimisation technique to sandwich shells with laminated faces

  • Icardi, Ugo
    • Structural Engineering and Mechanics
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    • v.43 no.6
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    • pp.739-759
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    • 2012
  • The tailoring optimization technique recently developed by the author for improving structural response and energy absorption of composites is extended to sandwich shells using a previously developed zig-zag shell model with hierarchic representation of displacements. The in-plane variation of the stiffness properties of plies and the through-the thickness variation of the core properties are determined solving the Euler-Lagrange equations of an extremal problem in which the strain energy due to out-of-plane strains and stresses is minimised, while that due to their in-plane counterparts is maximised. In this way, the energy stored by unwanted out-of-plane modes involving weak properties is transferred to acceptable in-plane modes. As shown by the numerical applications, the critical interlaminar stress concentrations at the interfaces with the core are consistently reduced without any bending stiffness loss and the strength to debonding of faces from the core is improved. The structural model was recently developed by the author to accurately describe strain energy and interlaminar stresses from the constitutive equations. It a priori fulfills the displacement and stress contact conditions at the interfaces, considers a second order expansion of Lame's coefficients and a hierarchic representation that adapts to the variation of solutions. Its functional d.o.f. are the traditional mid-plane displacements and the shear rotations, so refinement implies no increase of the number of functional d.o.f. Sandwich shells are represented as multilayered shells made of layers with different thickness and material properties, the core being treated as a thick intermediate layer.

High-Strain Rate Deformation of Ultra-Fine Grained Al-Mg Alloys Fabricated by Equal-Channel Angular Pressing (ECAP으로 제조된 초미세림 Al-Mg 합금의 동적 변형거동)

  • Kim, Y.G.;Ko, Y.G.;Shin, D.H.;Lee, S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2009.05a
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    • pp.306-309
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    • 2009
  • The influence of equal-channel angular pressing (ECAP) route on dynamic deformation behavior of ultra-fine grained Al-4.4%Mg alloys was investigated in this study. The 8-pass ECAPed specimens consisted of ultra-fine grains of $0.5{\mu}m$ in size, and contained the considerable amount of second phase particles, which were fragmented and distributed homogeneously in the matrix. The result of dynamic torsional tests indicated that the maximum shear stress and fracture shear strain were lowest in the specimen deformed by ECAP via route A among the 8-pass ECAPed specimens. The formation of adiabatic shear bands was addressed by concepts of critical shear strain, deformation energy required for void initiation, and microstructural homogeneity related to ECAP routes.

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Fatigue Damage of Quasi-Isotropic Composite Laminates (의사등방성 복합재 적층판의 피로손상)

  • 김인권
    • Composites Research
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    • v.12 no.4
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    • pp.8-16
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    • 1999
  • In this study, when the applied directions of tensile loading is changed fatigue damage of quasi-isotropic composite laminates was discussed. Low cycle fatigue tests of $[0/-60/+60]_s$ laminates and $[+30/-30/90]_s$ laminates were carried out. Material systems used were AS4/Epoxy and AS4/PEEK. The fatigue damage of $[+30/-30/90]_s$ laminates differed from that of $[0/-60/+60]_s$ laminates. The position of delamination generated at AS4/Epoxy and AS4/PEEK $[+30/-30/90]_s$ laminates appeared differently according to the kind of matrix. Critical values of strain energy release rate were obtained by using the strain measured at the initiation of delamination. The experimental results agreed well with the results obtained by the proposed method for determining strain energy release rate.

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