• Title/Summary/Keyword: Bending strain

Search Result 889, Processing Time 0.024 seconds

The Development of Incompatible Finite Elements for Plane Stress/Strain Using Multivariable Variational formulation (다변수 변분해법에 의한 비적합 4절점 사각형 평면응력 및 평면변형률 요소의 개발)

  • 주상백;신효철
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.18 no.11
    • /
    • pp.2871-2882
    • /
    • 1994
  • Two kinds of 4-node plane stress/strain finite elements are presented in this work. They are derived from the modified Hellinger-Reissner variational principle so as to employ the internal incompatible displacement and independent stress fields, or the incompatible displacement and strain fields. The introduced incompatible functions are selected to satisfy the constant strain condition. The elements are evaluated on several problems of bending and material incompressibility with regular and distorted elements. The results show that the new elements perform excellently in the calculation of deformation and stresses.

A new finite element based on the strain approach with transverse shear effect

  • Himeur, Mohammed;Benmarce, Abdelaziz;Guenfoud, Mohamed
    • Structural Engineering and Mechanics
    • /
    • v.49 no.6
    • /
    • pp.793-810
    • /
    • 2014
  • This research work deals with the development of a new Triangular finite element for the linear analysis of plate bending with transverse shear effect. It is developed in perspective to building shell elements. The displacements field of the element has been developed by the use of the strain-based approach and it is based on the assumed independent functions for the various components of strain insofar as it is allowed by the compatibility equations. Its formulation uses also concepts related to the fourth fictitious node, the static condensation and analytic integration. It is based on the assumptions of tick plate.s theory (Reissner-Mindlin theory). The element possesses three essential external degrees of freedom at each of the four nodes and satisfies the exact representation of the rigid body modes of displacements. As a result of this approach, a new bending plate finite element (Pep43) which is competitive, robust and efficient.

Strain Decomposition Method in Hull Stress Monitoring System for Container Ship

  • Park, Jae-Woong;Kang, Yun-Tae
    • Journal of Ship and Ocean Technology
    • /
    • v.7 no.3
    • /
    • pp.56-65
    • /
    • 2003
  • The hull monitoring systems of container ships with four long-base gages give enough information for identifying the hull girder loads such as bending and torsional moments. But such a load-identification for container ships has not been known. In this paper, a load-identification method is suggested in terms of a linear matrix equation that the measured strain vector equals to the multiplication of the transformation matrix and the desired strain component vector. The equation is proved to be mathematically complete by the property of positive-definite determinant of the transformation matrix. The method is applied to a hull stress monitoring system for 8100TED container ship during sea trial, and the estimated external loads illustrate reasonable results in comparison with the pre-estimated results. This moment decomposition concept has also been tested in real operation conditions. The typical phenomena over the Suez Canal illustrated very suitable results comparing with the physical understandings. Henceforth, one can effectively use the proposed concept to monitor the hull girder loads such as bending and torsional moments.

Influence of clamped-clamped boundary conditions on the mechanical stress, strain and deformation analyses of cylindrical sport equipment

  • Yuhao Yang;Mohammad Arefi
    • Geomechanics and Engineering
    • /
    • v.35 no.5
    • /
    • pp.465-473
    • /
    • 2023
  • The higher order shear deformable model and an exact analytical method is used for analytical bending analysis of a cylindrical shell subjected to mechanical loads, in this work. The shell is modelled using sinusoidal bivariate shear strain theory, and the static governing equations are derived using changes in virtual work. The eigenvalue-eigenvector method is used to exactly solve the governing equations for a constrained cylindrical shell The proposed kinematic relation decomposes the radial displacement into bending, shearing and stretching functions. The main advantage of the method presented in this work is the study of the effect of clamping constraints on the local stresses at the ends. Stress, strain, and deformation analysis of shells through thickness and length.

New Stress-Strain Model for Identifying Plastic Deformation Behavior of Sheet Materials (판재의 소성변형 거동을 동정하기 위한 새로운 응력-변형률 모델)

  • Kim, Young Suk;Pham, Quoc Tuan;Kim, Chan Il
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.34 no.4
    • /
    • pp.273-279
    • /
    • 2017
  • In sheet metal forming numerical analysis, the strain hardening equation has a significant effect on calculation results, especially in the field of spring-back. This study introduces the Kim-Tuan strain hardening model. This model represents sheet material behavior over the entire strain hardening range. The proposed model is compared to other well known strain hardening models using a series of uniaxial tensile tests. These tests are performed to determine the stress-strain relationship for Al6016-T4, DP980, and CP Ti sheets. In addition, the Kim-Tuan model is used to integrate the CP Ti sheet strain hardening equation in ABAQUS analysis to predict spring-back amount in a bending test. These tests highlight the improved accuracy of the proposed equation in the numerical field. Bending tests to evaluate prediction accuracy are also performed and compared with numerical analysis results.

Study on Springback Characteristic of Cold Rolled Steel Sheet (자동차용 냉연 강판의 형상 동결성 연구)

  • 한수식;박기철;남재복
    • Proceedings of the Korean Society for Technology of Plasticity Conference
    • /
    • 1998.06a
    • /
    • pp.17-24
    • /
    • 1998
  • This paper deals with the springback characteristics of cold rolled sheet steel through the use of the V-bending process and U-bending one. The influence of material properties on the springback of forming processes was investigated. In the V-bending process there was an optimum bend radius for each combination of parameters which produced minimal springback. In the U-bending process the blank holder force can control the degree of springback. A high blank holding force resulted in a uniform strain distribution and reduced the level of springback.

Nominal Flexural Strength Considering Strain-hardening Effect of HSB600 Steel for Composite I-girders in Positive Bending (HSB600 강재의 변형-경화를 고려한 강합성 I-거더의 정모멘트부 공칭휨강도)

  • Lim, Ji Hoon;Choi, Dong Ho
    • Journal of Korean Society of Steel Construction
    • /
    • v.29 no.1
    • /
    • pp.1-12
    • /
    • 2017
  • This paper proposes nominal flexural strength considering strain-hardening effect of HSB600 high performance steel for compact composite I-girders in positive bending. Unlike conventional steels, HSB600 undergoes strain-hardening just after yielding without going through yield plateau. However, because the nominal flexural strength specified in domestic and foreign bridge design specifications has been developed for the conventional steel composite girders, the nominal flexural strength does not appropriately consider the strain-hardening of HSB600. Therefore, plastic moment considering a strain-hardening is proposed so as to consider effect of the strain-hardening of HSB600 on flexural strength and then moment-curvature analysis is performed to a wide range of cross-sections. From results of the analysis, a parameter representing the effect of the strain-hardening on the flexural strength of HSB600 composite girders is proposed. Furthermore, by using this parameter, the nominal flexural strength considering the strain-hardening effect for HSB600 composite I-girders in positive bending is proposed and then evaluated by comparing with the current AASHTO LRFD bridge design specifications.

Crack Initiation Life Analysis in Notched Pipe Under Cyclic Bending Loads (굽힘피로 하중을 받는 배관의 피로균열 발생수명 예측)

  • Gwak, Sang-Rok;Lee, Jun-Seong;Kim, Yeong-Jin;Park, Yun-Won
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.25 no.10
    • /
    • pp.1528-1534
    • /
    • 2001
  • In order to improve Leak-Be(ore-Break methodology, more precisely the crack growth evaluation, a round robin analysis was proposed by the CEA Saclay. The aim of this analysis was to evaluate the crack initiation life, penetration life and shape of through wall crack under cyclic bending loads. The proposed round robin analysis is composed of three main topic; fatigue crack initiation, crack propagation and crack penetration. This paper deals with the first topic, crack initiation in a notched pipe under four point bending. Both elastic-plastic finite element analysis and Neuber's rule were used to estimate the crack initiation life and the finite element models were verified by mesh-refinement, stress distribution and global deflection. In elastic-plastic finite element analysis, crack initiation life was determined by strain amplitude at the notch tip and strain-life curve of the material. In the analytical method, Neuber's rule with the consideration of load history and mean stress effect, was used for the life estimation. The effect of notch tip radius, strain range, cyclic hardening rule were examined in this study. When these results were compared with the experimental ones, the global deformation was a good agreement but the crack initiation cycle was higher than the experimental result.

On strain measurement of smart GFRP bars with built-in fiber Bragg grating sensor

  • Ju, Minkwan;Park, Kyoungsoo;Moon, Doyoung;Park, Cheolwoo;Sim, Jongsung
    • Structural Engineering and Mechanics
    • /
    • v.65 no.2
    • /
    • pp.155-162
    • /
    • 2018
  • A smart glass fiber reinforced polymer (SMFRP) reinforcing bar with a fiber Bragg grating (FBG) sensor was fabricated using a pultrusion technique, while ribs were formed to improve bonding between concrete and SMFRP. Then, strain of SMFRP bars were measured for a uniaxial tension test of an SMFRP bar, and a four-point bending test of concrete beams reinforced with SMFRP bars. The results of a uniaxial tension test illustrate that the strain obtained from an FBG sensor agrees well with that obtained from electrical resistance strain gauge (ERSG). Additionally, concrete beams reinforced with SMFRP bars were fabricated, and actual flexural test were performed while the strain of with an FBG sensor was compared with that of ERSG. The experimental results demonstrate that SMFRP bars can be used as reinforcement of concrete member while providing deformation information. Furthermore, SMFRP bars may provide stronger durability and smart monitoring to reinforced concrete members under corrosive environments during a service life.

Delamination of non-linear viscoelastic beams under bending in the plane of layers

  • Victor I. Rizov
    • Coupled systems mechanics
    • /
    • v.12 no.4
    • /
    • pp.297-313
    • /
    • 2023
  • This paper deals with delamination analysis of non-linear viscoelastic multilayered beam subjected to bending in the plane of the layers. For this purpose, first, a non-linear viscoelastic model is presented. In order to take into account the non-linear viscoelastic behaviour, a non-linear spring and a non-linear dashpot are assembled in series with a linear spring connected in parallel to a linear dashpot. The behaviours of the non-linear spring and dashpot are described by applying non-linear stress-strain and stress-rate of strain relationships, respectively. The constitutive law of the model is derived. Due to the non-linear spring and dashpot, the constitutive law is non-linear. This law is used for describing the time-dependent mechanical behaviour of the beam under consideration. The material properties involved in the constitutive law vary along the beam length due to the continuous material inhomogeneity of the layers. Solution of the strain energy release rate for the delamination is obtained by analyzing the balance of the energy with considering of the non-linear viscoelastic behaviour. The strain energy release rate is found also by using the complementary strain energy for verification. A parametric study is carried-out by using the solution obtained. The solutions derived and the results obtained help to understand the time-dependent delamination of non-linear viscoelastic beams under loading in the plane of layers.