• Title/Summary/Keyword: critical strain energy

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Formulation of Failure Strain according to Average Stress Triaxiality of Low Temperature High Strength Steel (EH36) (저온용 고장력강(EH36)의 평균 응력 삼축비에 따른 파단 변형률 정식화)

  • Choung, Joonmo;Nam, Woongshik
    • Journal of Ocean Engineering and Technology
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    • v.27 no.2
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    • pp.19-26
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    • 2013
  • Stress triaxiality is recognized as one of the most important factors for predicting the failure strain of ductile metals. This study dealt with the effect of the average stress triaxiality on the failure strain of a typical low-temperature high-strength marine structural steel, EH36. Tensile tests were carried out on flat specimens with different notches, from relatively smooth to very sharp levels. Numerical simulations of each specimen were performed by using ABAQUS. The failure initiation points in numerical simulations were identified from a comparison of the engineering stress vs. strain curves obtained from experiments with simulated ones. The failure strain curves for various dimensionless critical energy levels were established in the average stress triaxiality domain and compared with the identified failure strain points. It was observed that most of the failure initiation points were approximated with a 100% dimensionless critical energy curve. It was concluded that the failure strains were well expressed as a function of the average stress triaxiality.

High Temperature Deformation Behavior of L12 Modified Titanium Trialuminides Doped with Chromium and Copper (크롬 및 구리로 치환한 L12 Titanium Trialuminides합금의 고온변형거동)

  • Han, Chang-Suk;Jin, Sung-Yooun;Bang, Hyo-In
    • Korean Journal of Materials Research
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    • v.28 no.6
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    • pp.317-323
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    • 2018
  • Crystal structure of the $L1_2$ type $(Al,X)_3Ti$ alloy (X = Cr,Cu) is analyzed by X-ray diffractometry and the nonuniform strain behavior at high temperature is investigated. The lattice constants for the $L1_2$ type $(Al,X)_3Ti$ alloys decrease in the order of the atomic number of the substituted atom X, and the hardness tends to increase. In a compressive test at around 473K for $Al_{67.5}Ti_{25}Cr_{7.5}$, $Al_{65}Ti_{25}Cr_{10}$ and $Al_{62.5}Ti_{25}Cu_{12.5}$ alloys, it is found that the stress-strain curves showed serration, and deformation rate dependence appeared. It is assumed that the generation of serration is due to dynamic strain aging caused by the diffusion of solute atoms. As a result, activation energy of 60-95 kJ/mol is obtained. This process does not require direct involvement. In order to investigate the generation of serrations in detail, compression tests are carried out under various conditions. As a result, in the strain rate range of this experiment, serration is found to occur after 470K at a certain critical strain. The critical strain increases as the strain rate increases at constant temperature, and the critical strain tends to decrease as temperature rises under constant strain rate. This tendency is common to all alloys produced. In the case of this alloy system, the serration at around 473K corresponds to the case in which the dislocation velocity is faster than the diffusion rate of interstitial solute atoms at low temperature.

Performance of plastic hinges in FRP-strengthened compressive steel tubes for different strain-hardening response

  • Ali Reza Nazari;Farid Taheri
    • Structural Engineering and Mechanics
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    • v.91 no.3
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    • pp.301-313
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    • 2024
  • Plastic buckling of tubular columns has been attributed to rotational instability of plastic hinges. The present study aimed to characterize the plastic hinges for two different grades of strain-hardening, examined in mild-steel (MS) and stainless-teel (SS) tubes with un-strengthened and strengthened conditions. At the primary stage, the formerly tested experimental specimens were simulated using full-scale FE models considering nonlinear response of the materials, then to estimate the characteristics of the plastic hinges, a meso model was developed from the critical region of the tubes and the moment-rotation diagrams were depicted under pure bending conditions. By comparison of the relative rotation diagram obtained by the full-scale models with the critical rotation under pure bending, the length and critical rotation of the plastic hinges under eccentric axial load were estimated. The stress and displacement diagrams indicated the mechanism of higher energy absorption in the strengthened tubes, compared to unstrengthened specimens, due to establishment of stable wrinkles along the tubes. The meso model showed that by increasing the critical rotation in the strengthened MS tube equal to 1450%, the energy absorption of the tube has been enhanced to 2100%, prior to collapse.

Effect of Atmospheric Plasma Treatment of Carbon Fibers on Crack Resistance of Carbon Fibers-reinforced Epoxy Composites

  • Park, Soo-Jin;Oh, Jin-Seok;Rhee, Kyong-Yop
    • Carbon letters
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    • v.6 no.2
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    • pp.106-110
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    • 2005
  • In this work, the effects of atmospheric oxygen plasma treatment of carbon fibers on mechanical interfacial properties of carbon fibers-reinforced epoxy matrix composites was studied. The surface properties of the carbon fibers were determined by acid/base values, Fourier-transform infrared spectrometer (FT-IR), and X-ray photoelectron spectroscopy (XPS) analyses. Also, the crack resistance properties of the composites were investigated in critical stress intensity factor ($K_{IC}$), and critical strain energy release rate mode II ($G_{IIC}$) measurements. As experimental results, FT-IR of the carbon fibers showed that the carboxyl/ester groups (C=O) at 1632 $cm^{-1}$ and hydroxyl group (O-H) at 3450 $cm^{-1}$ were observed for the plasma treated carbon fibers, and the treated carbon fibers had the higher O-H peak intensity than that of the untreated ones. The XPS results also indicated that the $O_{1S}/C_{1S}$ ratio of the carbon fiber surfaces treated by the oxygen plasma led to development of oxygen-containing functional groups. The mechanical interfacial properties of the composites, including $K_{IC}$ (critical stress intensity factor) and $G_{IIC}$ (critical strain energy release rate mode II), were also improved for the oxygen plasma-treated carbon fibersreinforced composites. These results could be explained that the oxygen plasma treatment played an important role to increase interfacial adhesions between carbon fibers and epoxy matrix resins in our composite system.

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A study on the Dynamic Fracture Toughness for Polymeric Materials (폴리머재료의 파괴인성치에 관한 연구)

  • 최영식;박명균
    • Proceedings of the Safety Management and Science Conference
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    • 2001.05a
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    • pp.311-317
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    • 2001
  • The notched Charpy and Izod impact tests are the most prevalent techniques used to characterize the effects of high impulse loads on ploymeric materials. An analysis method for rubber toughened PVC is suggested to evaluate critical strain energy release rates(Gc) from the Charpy impact energy measurements. An Instrumented Charpy Impact tester was used to extract ancillary information concerning fracture properties in addition to total fracture properties and maximum critical loads. The stress intensity factor Kd was computed for varying amounts of rubber contents from the obtained maximum critical loads and also toughening effects were investigated as well.

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Bubble Nucleation in Polymer Solutions (고분자 용액에서의 기포 형성)

  • 강성린;김기영;곽호영
    • Polymer(Korea)
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    • v.28 no.1
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    • pp.51-58
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    • 2004
  • The molecular cluster model for the homogeneous bubble nucleation rather than the classical nucleation theory was extended to predict the bubble nucleation events in elastomers(cross-linked polymers), polymers and polymer which are dissolved in the organic solvent. The classical theory assumes the formation of the critical bubble while the molecular cluster model assumes the critical cluster as for the initiation of the bubble nucleation. For the bubble nucleation in elastomers and polymers, the strain energy overcome by a critical bubble was also considered. The calculation results for the number of bubbles nucleated in elastormers and polymer solutions, which are about 10$\^$8/∼10$\^$12/ bubbles/㎤ are in good agreement with observed ones.

Analysis of Mixed Mode Delamination in Graphite/Epoxy Composite (흑연/에폭시 복합재료의 혼합모우드 층간분리 해석)

  • Yum, Y. J.;You, H.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.4
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    • pp.171-178
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    • 1996
  • DCB(pure mode I) and CLS(mixed mode) tests were performed to investigate the effect of fracture mode on the interlaminar fracture of composite laminate. Mode I critical strain energy release rate was found to be $133J/m^2$ from the DCB test and total strain energy release rate decreased from $1, 270J/m^2$ as thickness ratio(tl/t) varied from 0.333 to 0.667 from the crease from the CLS test. Crack length had no effect on the total strain energy release rate and load was almost constant during the crack growth of the specimen which had the specific thickness ratio. Crack initiated when the stress of the strap ply reached constant stress $42kgf/mm^2$ which was found to be independent of the thickness ratio.

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Deformation Characteristic by Compression in High-Nitrogen Austenitic Stainless Steel (고질소강 오스테나이트계 스테인레스강의 압축변형특성)

  • Lee, J.W.;Kim, D.S.;Kim, B.K.;Lee, M.R.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2007.10a
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    • pp.139-141
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    • 2007
  • Compression tests were carried out to investigate morphologies of compressed specimen, deformation microstructure and stress-strain relation in high-nitrogen austenite stainless steel. Tests were performed under a wide range of temperature and, with true strain rates up to $\dot{\varepsilon}$ =0.05, 0.1, 0.5 and $1.0s^{-1}$. The activation energy of loading force was equal to plastic deformation energy within the temperature range of $900^{\circ}C$ to $1250^{\circ}C$. Dynamically recrystallized grain size decreased with an increasing strain rate and temperature. Flow stresses and deformation microstructures, were used to quantify the critical strain rate and recrystallized grain size. The grain size versus strain rate-temperature map obtained in the study was in good agreement with the deformation microstructures of compressed specimens.

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The effect of strain on the electronic properties of MoS2 monolayers

  • Park, Soon-Dong;Kim, Sung Youb
    • Coupled systems mechanics
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    • v.5 no.4
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    • pp.305-314
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    • 2016
  • We utilize first-principles calculations within density-functional theory to investigate the possibility of strain engineering in the tuning of the band structure of two-dimensional $MoS_2$. We find that the band structure of $MoS_2$ monolayers transits from direct to indirect when mechanical strain is applied. In addition, we discuss the change in the band gap energy and the critical stains for the direct-to-indirect transition under various strains such as uniaxial, biaxial, and pure shear. Biaxial strain causes a larger change, and the pure shear stain causes a small change in the electronic band structure of the $MoS_2$ monolayer. We observe that the change in the interaction between molecular orbitals due to the mechanical strain alters the band gap type and energy.

Field and Strain Dependence of the Critical Current and the n-value for an Internal-tin Processed $Nb_3Sn$ Strand (내부확산법으로 제조된 $Nb_3Sn$ 초전도 선재의 임계전류 및 n-값의 자장, 변이 의존성)

  • Oh, Sang-Jun;Choi, Hee-Kyung;Lee, Chul-Hee;Kim, Kee-Man
    • Progress in Superconductivity
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    • v.9 no.2
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    • pp.152-156
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    • 2008
  • Detailed field and strain dependence of the critical current and the n-value for an internal-tin processed $Nb_3Sn$ strand have been measured. Both the compressive and tensile strain is applied reversibly using Walter spiral probe made of BeCu up to 0.73 %. There is a correlation between the critical current and the n-value for the $Nb_3Sn$ strand studied in this work and the field dependence of the n-value is in agreement with a recent empirical formula. It was further shown that the critical current can be reasonably well fitted by the scaling law based on strong-coupling theory of superconductivity using the relation between the critical current and the n-value.

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