• Title/Summary/Keyword: Elastic-Plastic Fracture

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A Study on the Measurement of the Crack Length Using the DCPD Method for the Fracture Test of the Pipe Specimen (직류전위차법을 이용한 배관 균열 길이 측정에 관한 연구)

  • Park, Jae-Sil;Seok, Chang-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.5
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    • pp.640-647
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    • 2004
  • In order to perform elastic-plastic fracture mechanical analyses, fracture resistance curves for concerned materials are required. The unloading compliance method and the DCPD(Direct Current Potential Drop) method have been widely used for measuring the crack length and the extension for a standard specimen fracture resistance curve test. However it is difficult to apply the unloading compliance method to a real pipe fracture resistance curve test. The objective of this paper is to propose the calibration equation between the normalized crack length and the normalized electric potential, and to apply to pipe fracture experiments. For these, finite element analyses were performed with various current input locations and crack front configurations. Also the 4-point bending jig was manufactured for a pipe test and the DCPD method was used to measure crack extensions and crack lengths for a pipe test. The calculated crack length by the DCPD method agreed with the measured crack length within 5% error.

Description of reversed yielding in thin hollow discs subject to external pressure

  • Alexandrov, Sergei E.;Pirumov, Alexander R.;Jeng, Yeau-Ren
    • Structural Engineering and Mechanics
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    • v.58 no.4
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    • pp.661-676
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    • 2016
  • This paper presents an elastic/plastic model that neglects strain hardening during loading, but accounts for the Bauschinger effect. These mathematical features of the model represent reasonably well the actual behavior of several materials such as high strength steels. Previous attempts to describe the behavior of this kind of materials have been restricted to a class of boundary value problems in which the state of stress in the plastic region is completely controlled by the yield stress in tension or torsion. In particular, the yield stress is supposed to be constant during loading and the forward plastic strain reduces the yield stress to be used to describe reversed yielding. The new model generalizes this approach on plane stress problems assuming that the material obeys the von Mises yield criterion during loading. Then, the model is adopted to describe reversed yielding in thin hollow discs subject to external pressure.

EFFECT OF STRENGTH MISMATCH AND DYNAMIC LOADING ON THE DUCTILE CRACK INITIATION FROM NOTCH ROOT

  • An, Gyn-Baek;Yoshida, Satoshi;Ohata, Mitsuru;Toyoda, Masao
    • Proceedings of the KWS Conference
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    • 2002.10a
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    • pp.145-150
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    • 2002
  • It has been well known that ductile fracture of steels is accelerated by triaxial stresses. The characteristics of ductile crack initiation in steels are evaluated quantitatively using two-parameters criterion based on equivalent plastic strain and stress triaxiality. It has been demonstrated by authors using round-bar specimens with circumferential notch in single tension that the critical strain to initiate ductile crack from specimen center depends considerably on stress triaxiality, but surface cracking of notch root is in accordance with constant strain condition. In order to evaluate the stress/strain state in the specimens, especially under dynamic loading, a thermal, elastic-plastic, dynamic finite element (FE) analysis considering the temperature rise due to plastic deformation has been carried out. This study provides the fundamental clarification of the effect of strength mismatching, which can elevate plastic constraint due to heterogeneous plastic straining, loading mode and loading rate on critical condition to initiate ductile crack from notch root using equivalent plastic strain and stress triaxiality based on the two-parameter criterion obtained on homogeneous specimens under static tension. The critical condition to initiate ductile crack from notch root for strength mismatched bend specimens under both static and dynamic loading would be almost the same as that for homogeneous tensile specimens with circumferential sharp notch under static loading.

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Analytical Examination of Ductile Crack Initiation with Strength Mismatch under Dynamic Loading - Criterion for Ductile Crack Initiation Effect of Strength Mismatch and Dynamic Loading (Report 2) - (동적하중하에서의 강도적 불균질재의 연성크랙 발생한계의 해석적 검토 - 강도적 불균질 및 동적부하의 영향에 의한 연성크랙 발생조건 (제 2 보) -)

  • ;Mitsuru Ohata;Masahito Mochizuki;;Masao Toyoda
    • Journal of Welding and Joining
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    • v.21 no.7
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    • pp.49-58
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    • 2003
  • It has been well known that ductile fracture of steel is accelerated by triaxiality stresses. The characteristics of ductile crack initiation in steels are evaluate quantitatively using two-parameter criterion based on equivalent plastic strain and stress triaxiality. Recently, the characteristics of critical crack initiation of steels are quantitatively estimated using the two-parameter, that is, equivalent plastic strain and stress triaxiality, criterion. This study is paid to the fundamental clarification of the effect of geometrical heterogeneity and strength mismatching, which can elevate plastic constraint due to heterogeneous plastic straining, and loading rate on critical condition to initiate ductile crack using two-parameter. Then, the crack initiation testing were conducted under static and dynamic loading. To evaluate the stress/strain state in the specimens especially under dynamic loading, thermal elastic-plastic dynamic FE-analysis considering the temperature rise was used. The result showed that the critical global strain to initiate ductile fracture in specimens with strength mismatch under various loading rate cu be estimated based on the local criterion, that is two-parameter criterion obtained on homogeneous specimens under static tension, by mean of FE-analysis taken into account accurately both strength mismatch and dynamic loading effects on stress/strain behavior.

The Development of a Non-Linear Finite Element Model for Ductile Fracture Analysis - For Mini-Computer - (연성파괴 해석을 위한 비선형 유한요소 모델의 개발 -소형 컴퓨터를 위한 -)

  • 정세희;조규종
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.1
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    • pp.25-33
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    • 1986
  • In this paper, the frontal method based elastic-plastic F.E.M. program for mini-computer was developed. Since, the executable source program size was restricted by the system core memory size on the mini-computer, the active variables were memorized by the element base and the nonactive varables were memorized to the external disc file. The active variables of the finally developed program were reduced enough to execute about 1,000 freedom finite element on the mini-computer on which available variables were restricted as 32,767 integers. A modified CT fracture test specimen was examined to test the developed program. The calculated results were compared with experimental results concerning on the crack tip plastic deformation zone. Recrystallization technique was adopted to visualize the intensive plastic deformation regions. The Von-Mises criterion based calculation results were well agreed with the experimental results in the intensive plastic region which was over than 2% offset strain. The F.E.M. results using the developed program were well agreed with the theoritical plastic boundary which was calculated by the stress intensity factor as r$_{p}$=(K$_{1}$$^{2}$/2.pi..sigma.$_{y}$$^{2}$).f(.theta.).).).

Finite Element Analysis of Deep Drawing for Axisymmetric Sheet Metal Housing (축대칭 박판 하우징의 디프드로잉 성형에 대한 유한요소법해석 및 파단 원인 분석)

  • 윤정호
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.06a
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    • pp.191-198
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    • 1994
  • A practical example of the axisymmetric deep drawing process is simulated by the elastic-plastic finite element analysis using updated Lagrangian approach considering the large deformation. An approach is suggested to solve the problem of the ductile fracture that may encounter during the deep drawing process. The result can be applied to the design of the die for the axisymmetric deep drawing.

A Study on the Safety Evaluation of Design for Piping Materials (I) (배관용재료의 설계시 안전성 평가에 관한 연구(I))

  • 김복기
    • Journal of the Korean Society of Safety
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    • v.10 no.2
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    • pp.3-9
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    • 1995
  • Several piping material test methods have been developed as a result of advances in elastic-plastic fracture mechanics. It's known that, crack propagation of the materials strongly governed by the $J_{Ic}$ value. But the value is still difficult to be obtained because of it's complicate and troble-some determination process. In this paper, to prove the validity of the developed test procedure a series of tests were peformed at various temperatures and for different material directions. directions.

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Effect of Crack Tip Constraint on the Fracture Resistance Curve in CT Specimen with Same Thickness (동일두께의 CT 시편에서 구속효과가 파괴저항곡선에 미치는 영향)

  • Jo, Yeon-Je;Jang, Yun-Seok;Seok, Chang-Seong;Kim, Yeong-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.2
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    • pp.529-539
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    • 1996
  • Fracture resistance(J-R) curves, which are used for elastic-plastic fracture mechanics analyses, are known to be dependent on the specimen geometry. The objective of this paper is to investigate the effect of crack tip constraint an the J-R curves in CT specimens. Fracture toughness tests on CT specimens with varying planform size were performed and test results showed that the J-R curves were increased with an increase in the planform size. Finite element analysis were also performed and the numerical results showed that this experimental phenomenon was probably due to the relaxation of crack tip constraint resulting from the stress triaxiality.

Out-of-plane ductile failure of notch: Evaluation of Equivalent Material Concept

  • Torabi, A.R.;Saboori, Behnam;Kamjoo, M.R.
    • Structural Engineering and Mechanics
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    • v.75 no.5
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    • pp.559-569
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    • 2020
  • In the present study, the fracture toughness of U-shaped notches made of aluminum alloy Al7075-T6 under combined tension/out-of-plane shear loading conditions (mixed mode I/III) is studied by theoretical and experimental methods. In the experimental part, U-notched test samples are loaded using a previously developed fixture under mixed mode I/III loading and their load-carrying capacity (LCC) is measured. Then, due to the presence of considerable plasticity in the notch vicinity at crack initiation instance, using the Equivalent Material Concept (EMC) and with the help of the point stress (PS) and mean stress (MS) brittle failure criteria, the LCC of the tested samples is predicted theoretically. The EMC equates a ductile material with a virtual brittle material in order to avoid performing elastic-plastic analysis. Because of the very good match between the EMC-PS and EMC-MS combined criteria with the experimental results, the use of the combination of the criteria with EMC is recommended for designing U-notched aluminum plates in engineering structures. Meanwhile, because of nearly the same accuracy of the two criteria and the simplicity of the PS criterion relations, the use of EMC-PS failure model in design of notched Al7075-T6 components is superior to the EMC-MS criterion.

Structural Integrity Assessments of Pressurized Pipes with Gouge using Stress-Modified Fracture Strain Criterion (삼축응력 기반의 파괴변형률 기준을 적용한 가우지 손상배관의 건전성 평가)

  • Oh C.K.;Kim Y.J.;Park J.M.;Baek J.H.;Kim Y.P.;Kim W.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.808-813
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    • 2005
  • Structural integrity assessment of defected pipe is important in fitness for service evaluation and proper engineering assessment is needed to determine whether pipelines are still fit for service. This paper present a failure prediction of gas pipes made of APIl X65 steel with gouge using stress-modified true fracture strain, which is regarded as a criterion of ductile fracture. For this purpose, API X65 pipes with gouge are simulated using elastic-plastic FE analyses with the proposed ductile failure criterion and the resulting burst pressures are compared with experimental data. Agreements are quite good, which gives confidence in the use of the proposed criteria to defect assessment fer gas pipelines. Then, further extensive finite element analyses are performed to obtain the burst pressure solution of pipes with gouge as a function of defect depth, length and pipeline geometry.

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