• Title/Summary/Keyword: elastic-plastic analysis static analysis

Search Result 65, Processing Time 0.02 seconds

Capacity-spectrum push-over analysis of rock-lining interaction model for seismic evaluation of tunnels

  • Sina Majidian;Serkan Tapkin;Emre Tercan
    • Earthquakes and Structures
    • /
    • v.26 no.5
    • /
    • pp.327-336
    • /
    • 2024
  • Evaluation of tunnel performance in seismic-prone areas demands efficient means of estimating performance at different hazard levels. The present study introduces an innovative push-over analysis approach which employs the standard earthquake spectrum to simulate the performance of a tunnel. The numerical simulation has taken into account the lining and surrounding rock to calculate the rock-tunnel interaction subjected to a static push-over displacement regime. Elastic perfectly plastic models for the lining and hardening strain rock medium were used to portray the development of plastic hinges, nonlinear deformation, and performance of the tunnel structure. Separately using a computational algorithm, the non-linear response spectrum was approximated from the average shear strain of the rock model. A NATM tunnel in Turkey was chosen for parametric study. A seismic performance curve and two performance thresholds are introduced that are based on the proposed nonlinear seismic static loading approach and the formation of plastic hinges. The tunnel model was also subjected to a harmonic excitation with a smooth response spectrum and different amplitudes in the fully-dynamic phase to assess the accuracy of the approach. The parametric study investigated the effects of the lining stiffness and capacity and soil stiffness on the seismic performance of the tunnel.

Analysis of Drawbead Process by Static-Explicit Finite Element Method

  • Jung, Dong-Won
    • Journal of Mechanical Science and Technology
    • /
    • v.16 no.12
    • /
    • pp.1687-1692
    • /
    • 2002
  • The problem analyzed here is a sheet metal forming process which requires a drawbead. The drawbead provides the sheet metal enough tension to be deformed plastically along the punch face and consequently, ensures a proper shape of final products by fixing the sheet to the die. Therefore, the optimum design of drawbead is indispensable in obtaining the desired formability. A static-explicit finite element analysis is carried out to provide a perspective tool for designing the drawbead. The finite element formulation is constructed from static equilibrium equation and takes into account the boundary condition that involves a proper contact condition. The deformation behavior of sheet material is formulated by the elastic-plastic constitutive equation. The finite element formulation has been solved based on an existing method that is called the static-explicit method. The main features of the static-explicit method are first that there is no convergence problem. Second, the problem of contact and friction is easily solved by application of very small time interval. During the analysis of drawbead processes, the strain distribution and the drawing force on drawbead can be analyzed. And the effects of bead shape and number of beads on sheet forming processes were investigated. The results of the static explicit analysis of drawbead processes show no convergence problem and comparatively accurate results even though severe high geometric and contact-friction nonlinearity. Moreover, the computational results of a static-explicit finite element analysis can supply very valuable information for designing the drawbead process in which the defects of final sheet product can be removed.

A Comparative Study on Effect of Finite Element in Static Analysis of Sheet Metal Forming (판재성형 정적해석에서 유한요소의 영향에 대한 비교연구)

  • 윤용석;박종진
    • Transactions of Materials Processing
    • /
    • v.9 no.1
    • /
    • pp.17-26
    • /
    • 2000
  • A series of parametric study was performed for the investigation on the influence of analysis parameters to the solution behavior in the elastic-plastic-static analysis of several sheet metal forming processes, such as deflection by a point force under plane strain and axisymmetric conditions, plane strain bending by a punch, axisymmetric stretching by a punch, axisymmetric bulging by hydraulic pressure, and axisymmetric deep drawing by a punch. The parameters considered are kind of element, number of elements, integration scheme for elemental equation and friction coefficient. Results obtained for different selections of those parameters were compared with each other, experimental measurements and analytical solution.

  • PDF

A Study on the Elastic Plastic Fracture Analysis for Carbon Steel with a Fatigue Crack (탄소강의 피로균열에 대한 탄소성파괴 해석에 관한 연구)

  • Lee, Jong-Hyung;Jeong, Hyung-Sik;Yoo, Duck-Sang;Kim, Young-Moon
    • Journal of the Korean Society of Industry Convergence
    • /
    • v.9 no.2
    • /
    • pp.117-122
    • /
    • 2006
  • This paper is to provide some of the analysis procedures of the FAD(Failure Assessment Diagram), which is applied th the safety test of the atomic pressure vessels and other structures. Harrison proposed R-6 Diagram, and Bloom developed the method of DPFAD(Deformation Plasticty Failure Assessment Diagram). Analysis of J-integration of the plastic materials give the failure test curve for the materials with serious work hardening effect. J value was obtained form both FEM(Finite Element Mothod) and the experiment using compact type specimen for J=JIC, and the results were compared. In this study, the results of analysis using DPFAD and the factors affecting DPFAD in Static fatigue and fracture were reviewed. It was shown that the concept of DPFAD can be applied to test the safety of the structures.

  • PDF

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
    • /
    • 2002.10a
    • /
    • pp.145-150
    • /
    • 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.

  • PDF

Residual stress in an elastoplastic annular disc interacting with an elastic inclusion

  • Zarandi, Somayeh Bagherinejad;Lai, Hsiang-Wei;Wang, Yun-Che;Aizikovich, Sergey M.
    • Coupled systems mechanics
    • /
    • v.8 no.3
    • /
    • pp.273-287
    • /
    • 2019
  • Elastoplastic analysis of an annular disc, being fully constrained on its outer rim and interacting with a purely elastic inclusion perfectly bonded with its inner rim, is conducted to study its plastic deformation and residual stress under thermal cycles. The system is termed the composite disc. Quasi-static plane-strain deformation is assumed, and the von Mises yield criterion with or without the Ludwik hardening rule is adopted in our finite element calculations. Effects of multiple material properties simultaneously being temperature dependent on the plastic behavior of the composite disc are considered. Residual stress is analyzed from a complete loading and unloading cycle. Results are discussed for various inclusion radii. It is found that when temperature dependent material properties are considered, the maximum residual stress may be greater than the maximum stress inside the disc at the temperature-loaded state due to lower temperature having larger yield stress. Temperature independent material properties overestimate stresses inside materials, as well as the elastic irreversible temperature and plastic collapse temperature.

Plastic Analysis and Minimum Weight Design of Plane Frame Structures (평면(平面) 뼈대 구조물(構造物) 소성해석(塑性解析) 및 최소중량(最小重量) 설계(設計))

  • Lee, Dong Whan;Yang, Chang Hyun;Whang, Won Sub
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.6 no.2
    • /
    • pp.111-120
    • /
    • 1986
  • Steel frame structures are widely used in construction because of their efficient strength and rigidity and considered proper cases for design and analysis using concept of plastic behavior. The purpose of plastic analysis is to determine the collapse load of a structure when the plastic moments of its members are given, and optimal plastic design is to compute the plastic moments of the members that minimize total structural weight. In this paper, the plastic analysis and optimal design are performed by using the static approach and solved by the simplex method. From the result of the analysis the solutions by this study show more efficiency in calculations. Also, the structural weight solved by the simplex method in case of two story frame is proved more economical than the one using the elastic design around 24%.

  • PDF

Formulation of Dynamic Cyclic Plasticity Model for SM490 and Its Application to 3-Dimensional Elastic-Plastic Finite Element Analysis (SM490강재의 동적반복소성모델의 정식화 및 3차원 탄소성 유한요소해석의 적용)

  • Chang, Kyong Ho;Jang, Gab Chul
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.26 no.3A
    • /
    • pp.465-471
    • /
    • 2006
  • To describe hysteretic behavior of steel structures under dynamic loading such as earthquake, the dynamic cyclic plasticity model considering stress-strain relationship and characteristics of used steel materials under static-dynamic deforming is required. In this paper, mechanical characteristics and stress-strain relationship of SM490 was clarified by carrying out static-dynamic monotonic and cyclic loading test. A dynamic cyclic plasticity model of SM490 was proposed based on the test results and applied 3-dimensional finite element analysis using finite deformation theory. An analytical method developed by the authors was verified validity and accuracy by comparing both analysis and test results. The comparison result shows that the analytical method developed by the authors can predict static-dynamic hysteretic behavior of steel structures with accuracy.

A Plastic-Damage Model for Lightweight Concrete and Normal Weight Concrete

  • Koh, C.G.;Teng, M.Q.;Wee, T.H.
    • International Journal of Concrete Structures and Materials
    • /
    • v.2 no.2
    • /
    • pp.123-136
    • /
    • 2008
  • A new plastic-damage constitutive model applicable to lightweight concrete (LWC) and normal weight concrete (NWC) is proposed in this paper based on both continuum damage mechanics and plasticity theories. Two damage variables are used to represent tensile and compressive damage independently. The effective stress is computed in the Drucker-Prager multi-surface plasticity framework. The stress is then computed by multiplication of the damaged part and the effective part. The proposed model is coded as a user material subroutine and incorporated in a finite element analysis software. The constitutive integration algorithm is implemented by adopting the operator split involving elastic predictor, plastic corrector and damage corrector. The numerical study shows that the algorithm is efficient and robust in the finite element analysis. Experimental investigation is conducted to verify the proposed model involving both static and dynamic tests. The very good agreement between the numerical results and experimental results demonstrates the capability of the proposed model to capture the behaviors of LWC and NWC structures for static and impact loading.

Effect of Constitutive Material Models on Seismic Response of Two-Story Reinforced Concrete Frame

  • Alam, Md. Iftekharul;Kim, Doo-Kie
    • International Journal of Concrete Structures and Materials
    • /
    • v.6 no.2
    • /
    • pp.101-110
    • /
    • 2012
  • This paper focuses on the finite element (FE) response sensitivity and reliability analyses considering smooth constitutive material models. A reinforced concrete frame is modeled for FE sensitivity analysis followed by direct differentiation method under both static and dynamic load cases. Later, the reliability analysis is performed to predict the seismic behavior of the frame. Displacement sensitivity discontinuities are observed along the pseudo-time axis using non-smooth concrete and reinforcing steel model under quasi-static loading. However, the smooth materials show continuity in response sensitivity at elastic to plastic transition points. The normalized sensitivity results are also used to measure the relative importance of the material parameters on the structural responses. In FE reliability analysis, the influence of smoothness behavior of reinforcing steel is carefully noticed. More efficient and reasonable reliability estimation can be achieved by using smooth material model compare with bilinear material constitutive model.