• Title/Summary/Keyword: Plastic strain energy

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Failure simulation of nuclear pressure vessel under severe accident conditions: Part I - Material constitutive modeling

  • Eui-Kyun Park;Ji-Su Kim;Jun-Won Park;Yun-Jae Kim;Yukio Takahashi;Kukhee Lim
    • Nuclear Engineering and Technology
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    • v.55 no.11
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    • pp.4146-4158
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    • 2023
  • This paper proposes a combined plastic and creep constitutive model of A533B1 pressure vessel steel to simulate progressive deformation of nuclear pressure vessels under severe accident conditions. To develop the model, recent tensile test data covering a wide range of temperatures (from RT to 1,100 ℃) and strain rates (from 0.001%/s to 1.0%/s) was used. Comparison with experimental data confirms that the proposed combined plastic and creep model can well reflect effects of temperature and strain rate on tensile behaviour up to failure. In the companion paper (Part II), the proposed model will be used to simulate OECD lower head failure (OLHF) test data.

A plastic strain based statistical damage model for brittle to ductile behaviour of rocks

  • Zhou, Changtai;Zhang, Kai;Wang, Haibo;Xu, Yongxiang
    • Geomechanics and Engineering
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    • v.21 no.4
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    • pp.349-356
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    • 2020
  • Rock brittleness, which is closely related to the failure modes, plays a significant role in the design and construction of many rock engineering applications. However, the brittle-ductile failure transition is mostly ignored by the current statistical damage constitutive model, which may misestimate the failure strength and failure behaviours of intact rock. In this study, a new statistical damage model considering rock brittleness is proposed for brittle to ductile behaviour of rocks using brittleness index (BI). Firstly, the statistical constitutive damage model is reviewed and a new statistical damage model considering failure mode transition is developed by introducing rock brittleness parameter-BI. Then the corresponding damage distribution parameters, shape parameter m and scale parameter F0, are expressed in terms of BI. The shape parameter m has a positive relationship with BI while the scale parameter F0 depends on both BI and εe. Finally, the robustness and correctness of the proposed damage model is validated using a set of experimental data with various confining pressure.

Increase of Low Cycle Fatigue Life at 300℃ for Type 304 Stainless Steel (304 스테인리스강의 300℃에서 저주기 피로수명 증가)

  • Kim, Dae Whan;Han, Chang Hee;Lee, Bong Sang
    • Korean Journal of Metals and Materials
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    • v.47 no.7
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    • pp.391-396
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    • 2009
  • Tensile, low cycle fatigue, and fatigue crack growth rate tests were conducted at RT and $300^{\circ}C$ for type 304 stainless steel. Tensile was tested under displacement control and low cycle fatigue was tested under strain control. Fatigue crack growth rate test was conducted under load control and crack was measured by DCPD method. Yield strength and elongation decreased at $300^{\circ}C$. Dynamic strain aging was not detected at $300^{\circ}C$. Low cycle fatigue life increased but fatigue strength decreased at $300^{\circ}C$. Fatigue crack growth rate increased at $300^{\circ}C$. Dislocation structures were mixed with cell and planar and did not change with temperature. Grain size did not change but plastic strain increased at $300^{\circ}C$. Strain induced martensite after low cycle fatigue test increased at RT but decreased at $300^{\circ}C$. It was concluded that the increase of low cycle fatigue life at $300^{\circ}C$ was due to the decrease of strain induced martensite at which crack was initiated.

Evaluation of high temperature tensile behavior and LCF properties of stainless steel for turbine disks (터빈 디스크용 스테인리스강의 고온 인장 및 저주기 피로 물성 측정)

  • Im, H.D.;Park, C.K.;Lee, K.;Rhim, S.H.;Kim, C.T.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2007.10a
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    • pp.334-337
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    • 2007
  • Austenitic stainless steel is used as high temperature components such as gas turbine blade and disk because of its good thermal resistance. In the present investigation, tensile and low cycle fatigue(LCF) behavior of stainless steel for turbine disks was studied at wide temperature range $20^{\circ}C\;{\sim}\;750^{\circ}C$. In the tensile tests, it was shown that elastic modulus, yield strength, ultimate tensile strength decreased when temperature increased. The effect on fatigue failure of the parameters such as plastic strain amplitude, stress amplitude and plastic strain energy density was also investigated. Coffin-Manson and Morrow models were used to adjust experimental data and predict the fatigue life behavior at different mean strain values during cyclic loading of high temperature components.

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A Characteristic Study of Low Cycle Fatigue for Rolled STS 304 Steel (STS 304 압연강의 저주기 피로특성에 관한 연구)

  • Kim, C.H.;Park, Y.M.;Bae, M.K.;Kim, H.S.;Kim, T.G.
    • Journal of the Korean Society for Heat Treatment
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    • v.31 no.1
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    • pp.18-23
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    • 2018
  • In this study, low cyclic fatigue test was carried out at room temperature condition for rolled STS304 steel. The results of this study show that rolled STS304 steel has excellent static tensile strength and fatigue characteristics. The relationship between plastic strain range and fatigue life was examined using the triangular wave in order to predict the low cycle fatigue life of rolled STS304 steel by Coffin-Manson equation. Cyclic behavior of rolled STS304 steel was characterized by cyclic hardening with increasing number of cycle through the Hysteresis loop analysis and cyclic response of maximum stress versus number of cycles. It is found that the plastic deformation energy consumed per cycle is reduced by calculating the area of the hysteresis loop.

An Application of Minimum Strain Energy Density Criterion in Mixed Mode Fatigue Problem (혼합모드 피로문제에서의 최소 변형에너지 밀도기준의 적용)

  • Shim, Kyu-Seok;Koo, Jae-Mean
    • Journal of the Korean Society of Safety
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    • v.17 no.2
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    • pp.1-7
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    • 2002
  • In this paper, the maximum minimum strain energy density criterion was applied to the mixed mode fatigue test of A5052 H34 alloy. In this study result we can have seen that the authors stress intensity factor for the finite width specimen and method of determining testing load, based on the plastic zone size and the limited maximum stress intensity factor by ASTM STANDARD E-647-95, is useful.

Ultimate Fracture Strength Analysis of Initially Cracked Plate (초기균열을 가진 판의 최종파괴 강도해석)

  • 백점기;서흥원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1991.10a
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    • pp.133-138
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    • 1991
  • The aim of the present paper is to develop a computer program predicting ultimate fracture strength of initially cracked structure under monotonically increasing external loads. For this purpose, two kinds of 3-D isoparametric solid elements, one 6-node wedge element and another 8-node brick element are formulated along the small deformation theory. Plasticity in the element is checked using von Mises' yield criterion. Elasto-plastic stiffness matrix of the element is calculated taking account of strain hardening effect. If the principal strain at crack tip which is one nodal point exceeds the critical strain dependin on the material property, crack tip is supposed to be opened and the crack tip node which was previously constrained in the direction perpendicular to the crack line is released. After that, the crack lay be propagated to the adjacent node. Once a crack tip node is fractured, the energy of the newly fractured node should be released which is to be absorbed by the remaining part. The accumulated reaction force which was carried by the newly fractured node so far is then applied in the opposite direction. During the action of crack tip relief force, since unloading may be occured in the plastic element, unloading check should be made. If a plastic element unloads, elastic stress-strain equation is used in the calculation of the stiffness matrix of the element, while for a loading element, elasto-plastic stress-strain equation is continuously used. Verification of the computer program is made comparing with the experimental results for center cracked panel subjected to uniform tensile load. Also some factors affecting ultimate fracture strength of initially cracked plate are investigated. It is concluded that the computer program developed here gives an accurate solution and becomes useful tool for predicting ultimate fracture load of initially cracked structural system under monotonically increasing external loads.

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The Kinematics of Damage for Elasto-Plastic Large Deformation (탄소성 대변형 거동에서의 손상의 운동학)

  • Park, Tae hyo;Kim, Ki Du
    • Journal of Korean Society of Steel Construction
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    • v.9 no.3 s.32
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    • pp.401-419
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    • 1997
  • In this paper the kinematics of damage for finite strain, elasto-plastic deformation is introduced using the fourth-order damage effect tensor through the concept of the effective stress within the framework of continuum damage mechanics. In the absence of the kinematic description of damage deformation leads one to adopt one of the following two different hypotheses for the small deformation problems. One uses either the hypothesis of strain equivalence or the hypotheses of energy equivalence in order to characterize the damage of the material. The proposed approach in this work provides a general description of kinematics of damage applicable to finite strains. This is accomplished by directly considering the kinematics of the deformation field and furthermore it is not confined to small strains as in the case of the strain equivalence or the strain equivalence approaches. In this work, the damage is described kinematically in both the elastic domain and plastic domain using the fourth order damage effect tensor which is a function of the second-order damage tensor. The damage effect tensor is explicitly characterized in terms of a kinematic measurure of damage through a second-order damage tensor. Two kinds of second-order damage tensor representations are used in this work with respect to two reference configurations.

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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.

Investigation on the responses of offshore monopile in marine soft clay under cyclic lateral load

  • Fen Li;Xinyue Zhu;Zhiyuan Zhu;Jichao Lei;Dan Hu
    • Geomechanics and Engineering
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    • v.37 no.4
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    • pp.383-393
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    • 2024
  • Monopile foundations of offshore wind turbines embedded in soft clay are subjected to the long-term cyclic lateral loads induced by winds, currents, and waves, the vibration of monopile leads to the accumulation of pore pressure and cyclic strains in the soil in its vicinity, which poses a threat to the safety operation of monopile. The researchers mainly focused on the hysteretic stress-strain relationship of soft clay and kinds of stiffness degradation models have been adopted, which may consume considerable computing resources and is not applicable for the long-term bearing performance analysis of monopile. In this study, a modified cyclic stiffness degradation model considering the effect of plastic strain and pore pressure change has been proposed and validated by comparing with the triaxial test results. Subsequently, the effects of cyclic load ratio, pile aspect ratio, number of load cycles, and length to embedded depth ratio on the accumulated rotation angle and pore pressure are presented. The results indicate the number of load cycles can significantly affect the accumulated rotation angle of monopile, whereas the accumulated pore pressure distribution along the pile merely changes with pile diameter, embedded length, and the number of load cycles, the stiffness of monopile can be significantly weakened by decreasing the embedded depth ratio L/H of monopile. The stiffness degradation of soil is more significant in the passive earth pressure zone, in which soil liquefaction is likely to occur. Furthermore, the suitability of the "accumulated rotation angle" and "accumulated pore pressure" design criteria for determining the required cyclic load ratio are discussed.