• Title/Summary/Keyword: Constitutive Equation

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Numerical Fatigue Test Method Based on Continuum Damage Mechanics (연속체 손상역학을 이용한 수치 피로시험 기법)

  • Lee, Chi-Seung;Kim, Young-Hwan;Kim, Tae-Woo;Lee, Jae-Myung
    • Journal of Welding and Joining
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    • v.25 no.1
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    • pp.63-69
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    • 2007
  • Once assessment of material failure characteristics is captured precisely in a unified way, it can bedirectly incorporated into the structural failure assessment under various loading environments, based on the theoretical backgrounds so called Local Approach to Fracture. The aim of this study is to develop a numerical fatigue test method by continuum damage mechanics applicable for the assessment of structural integrity throughout crack initiation and structural failure based on the Local Approach to Fracture. The generalized elasto-visco-plastic constitutive equation, which can consider the internal damage evolution behavior, is developed and employed in the 3-D FEA code in order to numerically evaluate the material and/or structural responses. Explicit information of the relationships between the mechanical properties and material constants, which are required for the mechanical constitutive and damage evolution equations for each material, are implemented in numerical fatigue test method. The material constants selected from constitutive equations are used directly in the failure assessment of material and/or structures. The performance of the developed system has been evaluated with assessing the S-N diagram of stainless steel materials.

Stability Analysis of a Jointed Rock Slope with the Barton-Bandis Joint Constitute Model Using UDEC (Barton-Bandis joint model을 이용한 절리 암반 사면의 안정성 해석)

  • 최성웅;정소걸
    • Tunnel and Underground Space
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    • v.9 no.2
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    • pp.141-148
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    • 1999
  • Distinct element simulation in jointed rock masses is largely dependent upon the joint constitutive equation used. This paper describes the differences between the Barton-Bandits (BB) and the Mohr-Coulomb (MC) joint constitutive models for the stability analysis of the jointed rock slopes. The BB model, which allows the modelling of the dilation accompanying shear, predicts results very similar to the present condition of slopes. Consequently the 10 cm thick shotcrete was proposed for the reinforcement of those slopes. The MC model, however, in which the dilation angle is constant, is relatively insensitive to the behaviors of joints.

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Hot Deformation Behavior of AISI 4340 using Constitutive Model and Processing Map (구성 모델과 공정 지도를 이용한 AISI 4340강의 고온 변형 거동)

  • Kim, Keunhak;Jung, Minsu;Lee, Seok-Jae
    • Journal of the Korean Society for Heat Treatment
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    • v.30 no.5
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    • pp.187-196
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    • 2017
  • High temperature flow behaviors of AISI 4340 steel were investigated using isothermal compression tests under the temperature range from 850 to $1100^{\circ}C$ and a strain rate from 0.01 to $10s^{-1}$. The flow stress decreased with increasing compression temperature and decreasing strain rate. The dynamic softening related to the dynamic recrystallization was observed during hot deformation. The constitutive model based on Arrheniustyped equation with the Zener-Hollomon parameter was used to simulate the hot deformation behavior of AISI 4340 steel. The modification of the Zener-Hollomon parameter and lnA parameter resulted in the improvement of the calculation accuracy of the proposed constitutive model compared with the experimental flow curves. In addition, the process map of AISI 4340 steel was proposed. The instable process condition for hot deformation was predicted and its reliability was verified with the experimental observation.

Sensitivity Study on Creep Behaviors of RPV under Severe Accident conditions (중대사고 조건하의 원자로용기 크리프 거동 민감도 분석 연구)

  • Kim, Tae Hyun;Chang, Yoon-Suk;Kim, Min-Chul;Lee, Bong-Sang
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.13 no.1
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    • pp.61-68
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    • 2017
  • Reactor pressure vessel (RPV) under severe accident conditions accompanied by core melting is exposed to direct high-temperature thermal loads. Understanding the creep behavior of the material is one of the most important factors for evaluating the structural integrity at these conditions. While damage evaluation studies have been conducted on critical structures of nuclear power plants through finite element (FE) analyses considering creep behavior, for accurate creep damage evaluation, constitutive equations considered in the FE analyses may have different results depending on the time hardening and strain hardening models as well as the tertiary creep consideration. The purpose of this study is to evaluate the creep damage under severe accident conditions by using FE method for a representative domestic RPV material, SA508 Gr.3. The effect of material hardening models and constitutive equations which are the main variables were also investigated.

Constitutive Parameter Identification of Inelastic Equations Using an Evolutionary Algorithm (진화적 알고리즘을 이용한 비탄성방정식의 구성 파라미터 결정)

  • Lee, Eun-Chul;Lee, Joon-Seong;Hurukawa, Tomonari
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.1
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    • pp.96-101
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    • 2009
  • This paper presents a method for identifying the parameter set of inelastic constitutive equations, which is based on an Evolutionary Algorithm. The advantage of the method is that appropriate parameters can be identified even when the measured data are subject to considerable errors and the model equations are inaccurate. The design of experiments suited for the parameter identification of a material model by Chaboche under the uniaxial loading and stationary temperature conditions was first considered. Then the parameter set of the model was identified by the proposed method from a set of experimental data. In comparison to those by other methods, the resultant stress-strain curves by the proposed method correlated better to the actual material behaviors.

Numerical procedures for extreme impulsive loading on high strength concrete structures

  • Danielson, Kent T.;Adley, Mark D.;O'Daniel, James L.
    • Computers and Concrete
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    • v.7 no.2
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    • pp.159-167
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    • 2010
  • This paper demonstrates numerical techniques for complex large-scale modeling with microplane constitutive theories for reinforced high strength concrete, which for these applications, is defined to be around the 7000 psi (48 MPa) strength as frequently found in protective structural design. Applications involve highly impulsive loads, such as an explosive detonation or impact-penetration event. These capabilities were implemented into the authors' finite element code, ParaAble and the PRONTO 3D code from Sandia National Laboratories. All materials are explicitly modeled with eight-noded hexahedral elements. The concrete is modeled with a microplane constitutive theory, the reinforcing steel is modeled with the Johnson-Cook model, and the high explosive material is modeled with a JWL equation of state and a programmed burn model. Damage evolution, which can be used for erosion of elements and/or for post-analysis examination of damage, is extracted from the microplane predictions and computed by a modified Holmquist-Johnson-Cook approach that relates damage to levels of inelastic strain increment and pressure. Computation is performed with MPI on parallel processors. Several practical analyses demonstrate that large-scale analyses of this type can be reasonably run on large parallel computing systems.

Stage 1 compaction behavior of tool steel under die pressing (금형압축 하에서 공구강 분말의 1단계 압축거동)

  • Kim, Gi-Tae;Kim, Jong-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.7
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    • pp.1073-1080
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    • 1997
  • The stage 1 compaction behavior of tool steel powder under die pressing was studied. The friction effects between the powder and the die wall under different die pressing modes were also investigated. The elastoplastic constitutive equations based on the yield functions by Fleck et al. and by Shima and Oyane were implemented into a finite element program to simulate die compaction processes. Finite element calculations were compared with experimental data for densification and density distribution of tool steel powder under single and double action die pressing. Finite element calculations using the yield function by Fleck et al. agreed better with experimental data than by Shima and Oyane.

Transient response of 2D functionally graded beam structure

  • Eltaher, Mohamed A.;Akbas, Seref D.
    • Structural Engineering and Mechanics
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    • v.75 no.3
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    • pp.357-367
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    • 2020
  • The objective of this article is investigation of dynamic response of thick multilayer functionally graded (FG) beam under generalized dynamic forces. The plane stress problem is exploited to describe the constitutive equation of thick FG beam to get realistic and accurate response. Applied dynamic forces are assumed to be sinusoidal harmonic, sinusoidal pulse or triangle in time domain and point load. Equations of motion of deep FG beam are derived based on the Hamilton principle from kinematic relations and constitutive equations of plane stress problem. The numerical finite element procedure is adopted to discretize the space domain of structure and transform partial differential equations of motion to ordinary differential equations in time domain. Numerical time integration method is used to solve the system of equations in time domain and find the time responses. Numerical parametric studies are performed to illustrate effects of force type, graduation parameter, geometrical and stacking sequence of layers on the time response of deep multilayer FG beams.

Analysis for Cold Die Compaction of Meteal Powder (금속분말의 냉간금형 압축 해석)

  • Gwon, Yeong-Sam;Lee, Hui-Tae;Kim, Gi-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.6
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    • pp.1893-1902
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    • 1996
  • Densification behavior of 316L stainless steel power under die pressing was studied. The efects of friction between the powder and die wall under different die pressing modes were also investigated. The elastoplastic constitutive equations based on the yield functions of Fleck-Gurson and of Shima and Oyane were implemented into finite element program(ABAQUS) to simulate die compaction processes. The finite element results were compared with experimental data for 316L stainless steel powder under die pressing.

Prediction of microstructure during high temperature forming of Ti-6Al-4V alloy (Ti-6Al-4V 합금의 고온성형 시 미세조직 예측에 관한 연구)

  • 이유환;신태진;황상무;이종수
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.57-60
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    • 2003
  • The purpose of this study is to investigate the high temperature deformation behavior of Ti-6Al-4V alloy and to predict the final microstructure under given forming conditions. Equiaxed and widmanstatten of Ti-6Al-4V alloys were prepared as initial microstructure and the compression tests were performed to obtain the flow curves at high temperatures (700∼1100$^{\circ}C$) and various strain rates (10$\^$-4/∼10$^2$/s). Form the results of compression test various parameters such as strain rate sensitivity (m) and activation energy (Q) were calculated and used to establish constitutive equations. To predict the final microstructure after forming, finite element analysis was performed considering the microstructural parameters such as the grain size and the volume fraction of second phase.

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