• 제목/요약/키워드: elasto-plastic solution

검색결과 60건 처리시간 0.018초

Elasto-plastic solution for cavity expansion problem in anisotropic and drained soil mass

  • Li, Chao;Zou, Jin-feng;Li, Liang
    • Geomechanics and Engineering
    • /
    • 제19권6호
    • /
    • pp.513-522
    • /
    • 2019
  • This study presents an elasto-plastic (EP) solution for drained cavity expansion on the basis of unified strength failure criterion and considers the influence of initial stress state. Because of the influence of initial consolidation of soil mass, the initial stress may be anisotropic in the natural soil mass. In addition, the undrained hypothesis is usually used in the calculation of cavity expansion problem, but most of the cases are in the drained situation in practical engineering. Eventually, the published solution and the presented solution are compared to verify the suitability of the study.

Finite element modeling of rolled steel shapes subjected to weak axis bending

  • Saliba, Najib G.;Tawk, Issam;Gergess, Antoine N.
    • Steel and Composite Structures
    • /
    • 제29권2호
    • /
    • pp.161-173
    • /
    • 2018
  • Point bending is often used for cambering and curving structural steel girders. An analytical solution, applicable in the elasto-plastic range only, that relates applied loads to the desired curve was recently developed for inducing horizontal curves using four-point bending. This solution does not account for initial residual stresses and geometric imperfections built-in hot-rolled sections. This paper presents results from a full-scale test on a hot-rolled steel section curved using four-point bending. In parallel, a numerical analysis, accounting for both initial geometric imperfections and initial residual stresses, was carried out. The models were validated against the experimental results and a good agreement for lateral offset and for strain in the elasto-plastic and post-plastic ranges was achieved. The results show that the effect of initial residual stresses on deformation and strain is minimal. Finally, residual stresses due to cold bending calculated from the numerical analysis were assessed and a revised stress value for the service load design of the curved girder is proposed.

저항 다점용접부의 역학적 특성에 관한 연구 (A Study on the Mechanical Characteristics of the Resistance Multi-spot Welded Joints)

  • 방한서;방희선
    • Journal of Welding and Joining
    • /
    • 제19권5호
    • /
    • pp.499-505
    • /
    • 2001
  • In order to classify the mechanical phenomena of thermal elasto-plastic behavior on the multi-spot welded joints, this study has tried to carry out three-dimensional thermal elasto-plastic analysis on them. However, because the shape of multi-spot welded joints is not taxi-symmetric, unlike the cafe of single-spot welded joint, the solution domain for simulation should be three dimension. Therefore, in this paper, firstly, the three-dimensional thermal elasto-plastic program is developed by an iso-parametric finite element method. Secondly, from the results analyzed by developed program, this has clarified mechanical characteristics and their production mechanism on single and multi-spot waled joints. Moreover, it has been intended to make clear effects of pitch length on welding residual stresses, plastic strain of multi-spot welded joints.

  • PDF

강체요소법에 의한 구형쉘의 탄소성해석에 관한 면구(II) -개구부 링을 갖는 구형쉘의 탄성 및 탄소성 해석- (A STUDY ON ELASTO-PLASTIC ANALYSIS OF SPHERICAL SHELL BY RIGID ELEMENT METHOD(II) - Elasto-Plastic Analysis of Spherical Shell with Open Stiff Ring -)

  • 박강근;서삼열;한상율;권택진
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1988년도 가을 학술발표회 논문집
    • /
    • pp.24-29
    • /
    • 1988
  • In this paper, it is proposed hew the rigid element method suggested in the first paper can be applied to the elastic and elasto-plastic analysis of spherical shell with the open stiff ring. In the analytical model, the solution domain is divided into rectangular-shaped spherical bending elements. Each contact surface of two adjacent elements is interconnected with four elastic springs, and it is assumed that the internal forces are distritributed into springs. The 6 degrees of freedom of the element are placed in the center of elements, and the 6 cen-teroidal rigid displacements affect other elements through springs around elements. And then the solution domain is estimated by the behavior of elements and springs. In this study, these concepts are applied to the elastic and elasto-plastic analysis for the eight cases of the spherical shell according to the condition of stiff ring, the condion of loading and the size of opening. And then some numerical results such as the distribution of stresses, the force-displacement curves and the mode of fractures will he shown.

  • PDF

탄소성 접촉 해석법을 이용한 볼 압입시험의 시뮬레이션 (Simulation of Ball Indentation Process by Elasto-Plastic Contact Analysis)

  • 이병채;곽병만
    • 대한기계학회논문집
    • /
    • 제12권2호
    • /
    • pp.185-192
    • /
    • 1988
  • 본 논문에서는 접촉문제를 보다 정교하게 수식화 함으로써 효율적인 볼 압입 시험 시뮬레이션 방법을 제시하고 이를 실제에 적용하여 방법의 유용성을 보이고자 한다. 아울러 실험을 병행하여 결과를 비교함으로써 해석결과의 신뢰성을 검토한다.

변분적 다중 스케일 방법을 이용한 탄소성 변형의 무요소해석 (Meshfree Analysis of Elasto-Plastic Deformation Using Variational Multiscale Method)

  • 연정흠;윤성기
    • 대한기계학회논문집A
    • /
    • 제28권8호
    • /
    • pp.1196-1202
    • /
    • 2004
  • A meshfree multi-scale method has been presented for efficient analysis of elasto-plastic problems. From the variational principle, problem is decomposed into a fine scale and a coarse scale problem. In the analysis only the plastic region is discretized using fine scale. Each scale variable is approximated using meshfree method. Adaptivity can easily and nicely be implemented in meshree method. As a method of increasing resolution, partition of unity based extrinsic enrichment is used. Each scale problem is solved iteratively. Iteration procedure is indispensable for the elasto-plastic deformation analysis. Therefore this kind of solution procedure is adequate to that problem. The proposed method is applied to Prandtl's punch test and shear band problem. The results are compared with those of other methods and the validity of the proposed method is demonstrated.

An assessment of non-linear elastic and elasto-plastic analyses with regards to tubular steel piles embedded in sands

  • Adolfo Foriero;Zeinab Bayati
    • Geomechanics and Engineering
    • /
    • 제32권4호
    • /
    • pp.397-409
    • /
    • 2023
  • This study examines two traditional approaches (non-linear elastic and elasto-plastic) in association with 2D and 3D FEM analyses of a box-section pile embedded in sand. A particular emphasis is placed on stress singularities concerning both reentrant corners of the pile section and the resulting tension zones. From the experience gained in this study, non-linear elastic soil models are less restrictive when one considers stress singularities and their possible effects on convergence of the solution. At least for monotonic loading, when compared with field tests, non-linear elastic models yield better results than the plasticity ones. On the other hand, although elasto-plastic models are not limited to monotonic loading, they are much more sensitive to stress singularities. For this reason, a spherical elastic region is necessary at the pile tip to ensure convergence. Without this region, one must artificially impose an apparent cohesion to limit the tension stresses within a sand medium.

A STUDY ON THE MECHANICAL CHARACTERISTICS OF RESISTANCE MULTI-SPOT WELDED JOINTS WITH PITCH LENGTH

  • Bang, Han-Sur;Bang, Hee-Seon;Joo, Sung-Min;Chang, Woong-Seong;Lee, Chang-Woo
    • 대한용접접합학회:학술대회논문집
    • /
    • 대한용접접합학회 2002년도 Proceedings of the International Welding/Joining Conference-Korea
    • /
    • pp.809-815
    • /
    • 2002
  • For clarifying the mechanical phenomena of thermal elasto-plastic behavior on the multi-spot welded joints, this study has tried to carry out three-dimensional thermal elasto-plastic analysis on them. However, because the shape of multi-spot welded joints is not axi-symmetric, unlike the case of single-spot welded joint, the solution domain for simulation should be three-dimensional. Therefore, in this paper, from the results analyzed using the developed the three dimensional unstationary heat conduction and thermal elasto-plastic programs by an iso-parametric finite element method, mechanical characteristics and their production mechanism on single- and multispot welded joints were clarified. Moreover, effects of pitch length on temperature, welding residual stresses and plastic strain of multi-spot welded joints were evaluated, indicating that a pitch of 30mm was advantageous compared to a pitch of 15mm.

  • PDF

Timoshenko보 요소를 이용한 평면 뼈대구조의 탄-소성 해석 (Elasto-Plastic Analysis of Plane Frame Structures using Timoshenko Beam Element)

  • 정동영;이정석;신영식
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
    • /
    • pp.327-334
    • /
    • 2001
  • This paper presents a non-linear analysis procedure for plane frame structures by finite element formulation with assumptions of Timoshenko beam theory. Finite element displacement method based on Lagrangian formulation is used and two-noded and isoparametric line element is adopted to represent finite element model. The layered approach is used for the elasto-plastic analysis of the plane frame structures with rectangular and I cross sections. A load incremental method combined with the tangent stiffness and the initial stiffness methods for each load increment is used for the solution of non-linear equations. Numerical examples are presented to investigate the behavior and the accuracy of the elasto-plastic non-linear application and the results of this study are compared with other solutions using the concept of plastic hinge.

  • PDF

Stress wave propagation in 1-D and 2-D media using Smooth Particle Hydrodynamics method

  • Liu, Z.S.;Swaddiwudhipong, S.;Koh, C.G.
    • Structural Engineering and Mechanics
    • /
    • 제14권4호
    • /
    • pp.455-472
    • /
    • 2002
  • The paper involves the study on the elastic and elasto-plastic stress wave propagation in the 1-D and 2-D solid media. The Smooth Particle Hydrodynamics equations governing the elastic and elasto-plastic large deformation dynamic response of solid structures are presented. The proposed additional stress points are introduced in the formulation to mitigate the tensile instability inherent in the SPH approach. Both incremental rate approach and leap-frog algorithm for time integration are introduced and the new solution algorithm is developed and implemented. Two examples on stress wave propagation in aluminium bar and 2-D elasto-plastic steel plate are included. Results from the proposed SPH approach are compared with available analytical values and finite element solutions. The comparison illustrates that the stress wave propagation problems can be effectively solved by the proposed SPH method. The study shows that the SPH simulation is a reliable and robust tool and can be used with confidence to treat transient dynamics such as linear and non-linear transient stress wave propagation problems.