• Title/Summary/Keyword: tensile criterion

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Nonlinear Finite Element Analysis of UHPFRC I-Beam on the Basis of an Elastic-Plastic Fracture Model (탄소성 파괴역학 모델에 근거한 초고강도 섬유보강 콘크리트 I 형보의 비선형 유한요소해석)

  • Han, Sang-Mook;Guo, Yi-Hong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.3
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    • pp.199-209
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    • 2009
  • This paper deals with the three-dimensional finite element analysis of failure behavior of UHPFRC I-beam under monotonic load. Different from the constitutive law of normal and high strength concrete, an elastic-plastic fracture model that considers the tensile strain hardening is proposed to describe the material properties of UHPFRC. A multi-directional fixed crack criterion with tensile strain hardening is defined in the tensile region, and Drucker-Prager criterion with an associated flow rule is adopted in the compressive region. The influence of span, prestressing force and section on the behavior of UHPFRC I-beam are investigated. The comparison of the numerical results with the test results indicates a good agreement.

Establishment of Fracture Criterion on Friction Welded Dissimilar Materials (이종 마찰용접재의 파괴기준 설정)

  • Chung, Nam-Yong;Park, Cheol-Hee
    • Transactions of the Korean Society of Automotive Engineers
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    • v.14 no.5
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    • pp.164-171
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    • 2006
  • Application of friction welding is increasing in the manufacturing process of machine elements in many industry fields. To establish a reasonable strength evaluation method and fracture criterion, it is necessary to analyze stress singularity under the residual stress condition on friction welded interface between dissimilar materials. In this paper, a method to establish fracture criterion on interface of friction welded dissimiliar materials was investigated by using the boundary element method BEM and static tensile testing. A quantitative fracture criterion for friction welded dissimilar materials is suggested by using stress singularity factor, $\Gamma$.

Modeling of the Reorientation Behavior of a Single Crystalline Shape- Memory Alloy by a Micromechanical Approach (미시역학적 접근에 의한 단결정 형상기억합금의 리오리엔테이션 거동 모델링)

  • 구병춘
    • Proceedings of the KSR Conference
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    • 2000.05a
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    • pp.250-257
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    • 2000
  • A Helmholtz free energy for a martensitic transformation of a single crystalline shape-memory alloy is obtained by a micromechanical approach, 24 variants of the single crystal are taken into account. In the framework of irreversible thermodynamics, a kinetic relation, a martensitic nucleation criterion and the reorientation criterion of martensitic variants are obtained. These relations are valid for a three-dimensional proportional or non-proportional mechanical loading or a combination of mechanical and thermal loading. Reorientation behavior of a single crystalline shape-memory alloy CuZnAl is simulated. When a tensile load is applied to a thermally-induced martensite, 24 self-accommodated martensitic variants are reoriented to the most favorable variant. In the following unloading, the most favorable variant in the tensile load is reoriented to the most favorable variant in this loading condition.

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FATIGUE DESIGN FORSUS30IL SPOT-WELDED MULTI-LAP JOINTS SUBJECTED TO TENSILE SHEAR LOAD

  • Na, T.H.m;Jung, W.S.;Bae, D.H;I.S.Shon
    • Proceedings of the KWS Conference
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    • 2002.10a
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    • pp.121-126
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    • 2002
  • The railroad cars or the commercial vehicles are generally manufactured by the spot welding. Among various kinds of spot welded lap joints, multi-lap joints are one of popular joints in manufacturing their body structures. But, fatigue strength of these joints are lower than that of base metal due to high stress concentration at the nugget edge of the spot weld and are known to considerably be influenced by welding conditions as well as the mechanical and geometrical factors. Thus, it is necessary to establish a reasonable and systematic fatigue design criterion for spot welded multi-lap joints. In this paper, the $\Delta$P-N$_{f}$ curves has been rearranged in the $\Delta$$\sigma$-N$_{f}$ relation with the maximum stress at the nugget edge of spot welded multi-lap joints subjected to tensile shear load. Consequently, the fatigue data were evaluated in terms of fracture mechanics by plotting on the $\Delta$OP-N$_{f}$ curves. From the results obtained, both of them have been revealed to be applicable to fatigue design of spot welded multi-lap joints. However, the fracture mechanical approach is found to be more effective than the maximum stress approach in the range on N$_{f}$$\geq$2x10$^{5}$ . .

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Approximate Yield Criterion for Voided Anisotropic Ductile Materials

  • Kim, Youngsuk;Sungyeun Won;Kim, Dogsoo;Hyunsung Son
    • Journal of Mechanical Science and Technology
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    • v.15 no.10
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    • pp.1349-1355
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    • 2001
  • As most fractures of ductile materials in metal forming processes occurred due to the results of evolution of internal damage - void nucleation, growth and coalescence. In this paper, an approximate yield criterion for voided (porous) anisotropic ductile materials is developed. The proposed approximate yield function is based on Gurson's yield function in conjunction with the Hosford's non-quadratic anisotropic yield criterion in order to consider the characteristic of anisotropic properties of matrix material. The associated flow rules are presented and the laws governing void growth with strain are derided. Using the proposed model void growth of an anisotropic sheet under biaxial tensile loading and its effect on sheet metal formability are investigated. The yield surface of voided anisotropic sheet and void growth with strain are predicted and compared with the experimental results.

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MIXED-MODE CRACK PROPAGATION BY MOVABLE CELLULAR AUTOMATA METHOD

  • Pak, Mik-Hail;Lee, Choon-Yeol;Chai, Young-Suck
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1754-1759
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    • 2007
  • Propagation of a mixed-mode crack in Soda-Lime silica glass using Movable Cellular Automata (MCA) method is demonstrated in this study. In MCA method, special fracture criterion is used to describe the process of crack initiation and propagation. Comparison between MCA and other crack initiation criteria results are made. The crack resistance curves and bifurcation angles under different loading angles are found. In comparisons with results of maximum circumferential tensile stress criterion, MCA result showed the sufficient agreement.

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Equivalent reinforcement isotropic model for fracture investigation of orthotropic materials

  • Fakoor, Mahdi;Rafiee, Roham;Zare, Shahab
    • Steel and Composite Structures
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    • v.30 no.1
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    • pp.1-12
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    • 2019
  • In this research, an efficient mixed mode I/II fracture criterion is developed for fracture investigation of orthotropic materials wherein crack is placed along the fibers. This criterion is developed based on extension of well-known Maximum Tensile Stress (MTS) criterion in conjunction with a novel material model titled as Equivalent Reinforced Isotropic Model (ERIM). In this model, orthotropic material is replaced with an isotropic matrix reinforced with fibers. A comparison between available experimental observations and theoretical estimation implies on capability of developed criterion for predicting both crack propagation direction and fracture instance, wherein the achieved fracture limit curves are also compatible with fracture mechanism of orthotic materials. It is also shown that unlike isotropic materials, fracture toughness of orthotic materials in mode $I(K)_{IC}{\mid})$ cannot be introduced as the maximum load bearing capacity and thus new fracture mechanics property, named here as maximum orthotropic fracture toughness in mode $I(K_{IC}{\mid}^{ortho}_{max})$ is defined. Optimum angle between crack and fiber direction for maximum load bearing in orthotropic materials is also defined.

Study of Failure Criterion of Hole-Notched Plain-Weave Carbon Fiber Reinforced Plastic (CFRP) Composites (홀 노치를 포함한 평직 탄소섬유강화플라스틱의 파괴기준 연구)

  • Kim, Sang-Young;Geum, Jin-Hwa;Koo, Jae-Mean;Seok, Chang-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.4
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    • pp.481-486
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    • 2010
  • Recently, carbon fiber reinforced plastic (CFRP) have been used in various fields because of its high specific modulus, and chemical properties. Most products in which CFRP composites are used are manufactured by joining the product components by bolts or pins. Holes for bolts and pins decrease the strength of the components because these holes act as notches in the structures. In this study, the fracture strength of CFRP plain-weave composite plates containing holes is experimentally investigated to examine the effects of hole-size and specimen width on notched tensile strength. The results show that the characteristic length considered in the point stress criterion depends on the hole size and specimen width. There exists a certain relation between notched tensile strength and characteristic length. Fracture criterion is redefined on basis of this relation.

Analytical Formula for the Equivalent Mohr-Coulomb Strength Parameters Best-fitting the Generalized Hoek-Brown Criterion in an Arbitrary Range of Minor Principal Stress (임의 최소주응력 구간에서 일반화된 Hoek-Brown 파괴기준식을 최적 근사하는 등가 Mohr-Coulomb 강도정수 계산식)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.29 no.3
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    • pp.172-183
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    • 2019
  • The generalized Hoek-Brown (GHB) failure criterion developed by Hoek et al. (2002) is a nonlinear function which defines a stress condition at failure of rock mass. The relevant strength parameter values are systematically determined using the GSI value. Since GSI index is a value quantifying the condition of in-situ rock mass, the GHB criterion is a practical failure condition which can take into the consideration of in-situ rock mass quality. Considering that most rock mechanics engineers are familiar with the linear Mohr-Coulomb criterion and that many rock engineering softwares incorporate Mohr-Coulomb criterion, the equations for the equivalent friction angle and cohesion were also proposed along with the release of the GHB criterion. The proposed equations, however, fix the lower limit of the minor principal stress range, where the linear best-fitting is performed, with the tensile strength of the rock mass. Therefore, if the tensile stress is not expected in the domain of analysis, the calculated equivalent friction angle and cohesion based on the equations in Hoek et al. (2002) could be less accurate. In order to overcome this disadvantage of the existing equations for equivalent friction angle and cohesion, this study proposes the analytical formula which can calculate optimal equivalent friction angle and cohesion in any minor principal stress interval, and verified the accuracy of the derived formula.