• Title/Summary/Keyword: elastic-plasticity

Search Result 389, Processing Time 0.029 seconds

Estimation of Transient Creep C(t)-integrals for SE(B) Specimen Under Elastic-Plastic-Creep Conditions (탄성-소성-크리프 상태에서 SE(B) 시편의 천이크리프 C(t)-적분 평가)

  • Lee, Han-Sang;Je, Jin-Ho;Kim, Dong-Jun;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.39 no.9
    • /
    • pp.851-857
    • /
    • 2015
  • In this paper, we estimate the time-dependent C(t) integrals under elastic-plastic-creep conditions. Finite-element (FE) transient creep analyses have been performed for single-edge-notched-bend (SEB) specimens. We investigate the effect of the initial plasticity on the transient creep by systematically varying the magnitude of the initial step load. We consider both the same stress exponent and different stress exponents in the power-law creep and plasticity to elastic-plastic-creep behavior. To estimate the C(t) integrals, we compare the FE analysis results with those obtained using formulas. In this paper, we propose a modified equation to predict the C(t) integrals for the case of creep exponents that are different from the plastic exponent.

Estimation of Transient Creep Crack-tip Stress Fields for SE(B) specimen under Elastic-Plastic-Creep Conditions (탄성-소성-크리프 상태에서 SE(B) 시편의 천이크리프 균열 선단 응력장 평가)

  • Lee, Han-Sang;Je, Jin-Ho;Kim, Dong-Jun;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.39 no.10
    • /
    • pp.1001-1010
    • /
    • 2015
  • This paper estimates the time-dependent crack-tip stress fields under elastic-plastic-creep conditions. We perform Finite-Element (FE) transient creep analyses for a Single-Edge-notched-Bend (SEB) specimen. We investigate the effect of the initial plasticity on the transient creep by systematically varying the magnitude of the initial step-load. We consider both the same stress exponent and different stress exponent in the power-law creep and plasticity to determine the elastic-plastic-creep behaviour. To estimation of the crack-tip stress fields, we compare FE analysis results with those obtained numerically formulas. In addition, we propose a new equation to predict the crack-tip stress fields when the creep exponent is different from the plastic exponent.

Contimuum Damage Model of Concrete using Hypothesis of Equivalent Elastic Energy (등가탄성에너지법에 의한 콘크리트의 연속체 손상모델)

  • 이기성;변근주;송하원
    • Magazine of the Korea Concrete Institute
    • /
    • v.7 no.5
    • /
    • pp.172-178
    • /
    • 1995
  • Concrete contains numerous microcracks at initially poured. The growth and propagation of nicrockacsk are believed tc finally incur the faiure of concrete. These processings are understood as a damage. Damage IS represented as a second-order tensor and crack is treated as a con tinuum phenomenon. In this paper, damage is characterized through the effective stress concept together with the hypothesis of elastic energy equivalence, and damage evolution law and constitutive equation of a damage model are derived by using the Helmholtz frte eriergy and the dissipation potential by means of the thermodynamic principles. The constitutive equation of the model includes the effects of elasticity, anisotropic damage and plasticity of concrete. There are two effective tangent stiffness tensors in this model : one is for elastic-darnage and the other for plastic damage. For the verification of the model, finite element analysis was performed for the analysis of concrete subjec:t to uniaxial and biaxial loading and the results obtained were compared with test results.

Bounds on plastic strains for elastic plastic structures in plastic shakedown conditions

  • Giambanco, Francesco;Palizzolo, Luigi;Caffarelli, Alessandra
    • Structural Engineering and Mechanics
    • /
    • v.25 no.1
    • /
    • pp.107-126
    • /
    • 2007
  • The problem related to the computation of bounds on plastic deformations for structures in plastic shakedown condition (alternating plasticity) is studied. In particular, reference is made to structures discretized by finite elements constituted by elastic perfectly plastic material and subjected to a special combination of fixed and cyclic loads. The load history is known during the steady-state phase, but it is unknown during the previous transient phase; so, as a consequence, it is not possible to know the complete elastic plastic structural response. The interest is therefore focused on the computation of bounds on suitable measures of the plastic strain which characterizes just the first transient phase of the structural response, whatever the real load history is applied. A suitable structural model is introduced, useful to describe the elastic plastic behaviour of the structure in the relevant shakedown conditions. A special bounding theorem based on a perturbation method is proposed and proved. Such theorem allows us to compute bounds on any chosen measure of the relevant plastic deformation occurring at the end of the transient phase for the structure in plastic shakedown; it represents a generalization of analogous bounding theorems related to the elastic shakedown. Some numerical applications devoted to a plane steel structure are effected and discussed.

Advanced analysis for planar steel frames with semi-rigid connections using plastic-zone method

  • Nguyen, Phu-Cuong;Kim, Seung-Eock
    • Steel and Composite Structures
    • /
    • v.21 no.5
    • /
    • pp.1121-1144
    • /
    • 2016
  • This paper presents a displacement-based finite element procedure for second-order distributed plasticity analysis of planar steel frames with semi-rigid beam-to-column connections under static loadings. A partially strain-hardening elastic-plastic beam-column element, which directly takes into account geometric nonlinearity, gradual yielding of material, and flexibility of semi-rigid connections, is proposed. The second-order effects and distributed plasticity are considered by dividing the member into several sub-elements and meshing the cross-section into several fibers. A new nonlinear solution procedure based on the combination of the Newton-Raphson equilibrium iterative algorithm and the constant work method for adjusting the incremental load factor is proposed for solving nonlinear equilibrium equations. The nonlinear inelastic behavior predicted by the proposed program compares well with previous studies. Coupling effects of three primary sources of nonlinearity, geometric imperfections, and residual stress are investigated and discussed in this paper.

Two Back Stress Hardening Models in Rate Independent Rigid Plasticity (변형률 독립 강소성 구성 방정식에서의 이중 후방 응력 경화 모델)

  • Yun S. J.
    • Transactions of Materials Processing
    • /
    • v.14 no.4 s.76
    • /
    • pp.327-337
    • /
    • 2005
  • In the present work, the two back stress kinematic hardening models are proposed by combining Armstrong-Frederick, Phillips and Ziegler's hardening rules. Simple combination of hardening rules using simple rule of mixtures results in various evolutions of the kinematic hardening parameter. Using the combined hardening models the ultimate back stress fur the present models is also derived. The stress rate is co-rotated with respect to the spin of substructure due to the assumption of kinematic hardening rule in finite deformation regime. The work piece under consideration is assumed to consist of the elastic and the rigid plastic deformation zone. Then, the J2 deformation theory is facilitated to characterize the plastic deformation behavior under various loading conditions. The plastic deformation localization behaviors strongly depend on the constitutive description namely back stress evolution and its hardening parameters. Then, the analysis for Swift's effects under the fixed boundaries in axial directions is carried out using simple shear deformation.

A Study on the Nucleation of Fretting Fatigue Cracks at the Heterogeneity Material (이종재료에서 프레팅 피로 균열의 생성에 관한 연구)

  • Goh Jun Bin;Goh Chung Hyun;Lee Kee Seok
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.14 no.3
    • /
    • pp.103-109
    • /
    • 2005
  • Since fretting fatigue damage accumulation occurs over relatively small volumes, the role of the microstructure is quite significant in fretting fatigue analysis. The heterogeneity of discrete grains and their crystallographic orientation can be accounted for using continuum crystallographic cyclic plasticity models. Such a constitutive law used in parametric studies of contact conditions may ultimately result in more thorough understanding of realistic fretting fatigue processes. The primary focus of this study is to explore the influence of microstructure as well as the magnitude of the normal force and tangential force amplitude during the fretting fatigue process. Fretting maps representing cyclic plastic strain behaviors are also developed to shed light on the cyclic deformation mechanisms.

Determination of the mechanical properties of the coated layer in the sheet metal using load-displacement curve by nanoindentation technique (나노 인덴테이션의 하중-변위 곡선을 이용한 표면처리강판 코팅층의 기계적 특성 결정)

  • Ko Y. H.;Lee J. M.;Kim B. M.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 2004.05a
    • /
    • pp.148-151
    • /
    • 2004
  • Mechanical properties such as Young's modulus and hardness of thin film in coated steel are difficult to determine by nano-indentation from the conventional analysis using the load-displacement curve. Therefore, an analysis of the nano-indentation loading curve was used to determine the Young's modulus, hardness and strain hardening exponent. A new method is recently being developed for plasticity properties of materials from nano-indentation. Elastic modulus of the thin films shows relatively small influence whereas yield strength and strain hardening are found to have significant effect on measured data. The load-displacement behavior of material tested with a Berkovich indenter and nano-indentation continuous stiffness method is used to measure the modulus and hardness through thin films.

  • PDF

Formulation of Cyclic Plasticity Model and FE Analysis for SM490 TMC (SM490 TMC 강재의 반복소성모델의 정식화 및 유한요소해석)

  • 장갑철;장경호
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2004.10a
    • /
    • pp.84-89
    • /
    • 2004
  • In this paper, cyclic plasticity model of SM490 TMC was formulated by basing on monotonic loading test and cyclic loading test. For exact description of cyclic performance and plastic deformation capacity of steel member using SM490 TMC, formulated cyclic plasticity model and finite deformation theory were applied to 3-dimensional elastic-plastic FE analysis. Cyclic plastic behavior of pipe-section steel column using SM490 TMC was clarified by carrying out numerical analysis. Also, in order to clarifying seismic performance of pipe-section steel column using SM490 TMC, analysis results were compared with analysis results of pipe-section steel column using SM490. A comparison of analysis results shows that SM490 TMC pipe-section steel column has a better cyclic performance for strength and energy dissipation than SM490 pipe-section steel column under cyclic loading

  • PDF

Analysis of Deformation Localization of Void Material using Nolocal Constitutive Relation (I) (비국소형 구성식을 이용한 보이드 재료의 변형 국소화 거동의 해석(I))

  • 김영석;최홍석;임성언
    • Transactions of Materials Processing
    • /
    • v.9 no.1
    • /
    • pp.59-65
    • /
    • 2000
  • Most studies of failure analysis in ductile metals have been based on the classical plasticity theory using the local constitutive relations. These frequently yields a physically unrealistic solution, in which a numerical prediction of the onset of a deformation localization shows an inherent mesh-size sensitivity. A one way to remedy the spurious mesh sensitivity resulted in the unreasonable results is to incorporate the non-local plasticity into the simulation model, which introduce an internal (material) length-scale parameter into the classical constitutive relations. In this paper, a non-local version of the modified Gurson constitutive relation has been introduced into the finite element formulation of the simulation for plane strain compression of the visco elastic-plastic void material. By introducing the non-local constitutive relations we could successfully removed the inherent mesh-size sensitivity for the prediction of the deformation localization. The effects of non-local constitutive relation are discussed in terms of the load-stroke curve and the strain distributions accross the shear band.

  • PDF