A novel approach to elasto-plastic finite element analysis of beam structures using the concept of incremental secant stiffness

Wen, Ying; Qing-yuan, Zeng

doi:10.1016/j.finel.2010.07.003

Cited by 6 publications

(2 citation statements)

References 40 publications

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“…The objective of the non-linear analysis is therefore to calculate a situation of static equilibrium by eliminating the out of balance vector. Traditionally there are three methods Distributed under creative commons license 4.0 that have been used to solve nonlinear problems, namely the iterative method [10][11][12][13] , the incremental method [14][15][16] and the incremental-iterative method [17][18] . Several modified methods have been presented and their respective advantages and disadvantages have been reviewed by Desai and Abel [17] , Akryod [19] , Goverdhan [20] , Narayanan [21] , Lee et al [10] and Liu et.…”

Section: Finite Element Proceduresmentioning

confidence: 99%

Analytical Model of Nonlinear Semi-rigid Frames Using Finite Element Method

Mohammad

Rahman

Tan

et al. 2020

j. of archit. environ. & struct. eng. res.

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Performance-based design for a constructional steel frame in nonlinear-plastic region requires an improvement in order to achieve a reliable structural analysis. The need to explicitly consider the nonlinear behaviour of structures makes the numerical modelling approach much more favourable than expensive and potentially dangerous experimental work. The parameters considered in the analysis are not limited to the linear change of geometry and material yielding, but also include the effect of large deformations, geometrical imperfections, load eccentricities, residual stresses, strain-unloading, and the nonlinear boundary conditions. Such analysis requires the use of accurate mathematical modelling and effective numerical procedures for solving equations of equilibrium. With that in mind, this paper presents the mathematical formulations and finite element procedures of nonlinear inelastic steel frame analysis with quasi-static semi-rigid connections. It is an approach that enables the structural behaviour of constructional steel frames to be traced throughout the entire range of loading until failure. It also provides information on the derivation of the structural analysis by using finite element method. Verification of the developed analytical procedures is conducted with theoretical pin-ended perfect and imperfect columns. A good agreement is achieved between theoretical and developed analytical models. Furthermore, validation of the analytical model with load and unloading behaviour of the material properties for a semi-rigid steel frame was also conducted

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Section: Finite Element Proceduresmentioning

confidence: 99%

Analytical Model of Nonlinear Semi-rigid Frames Using Finite Element Method

Mohammad

Rahman

Tan

et al. 2020

j. of archit. environ. & struct. eng. res.

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“…To describe the elasto-plastic behaviour of a typical beam member, a set of non-dimensional plasticity coefficients are introduced to progressively deteriorate the elastic stiffness properties over an incremental load history. Singha et al [6] investigated the nonlinear behaviors of functionally graded material (FGM) plates under transverse distributed load using a high precision plate bending finite element. Material properties of the plate were assumed to be graded in the thickness direction according to a simple power-law distribution in terms of volume fractions of the constituents.…”

Section: Introductionmentioning

confidence: 99%

A Novel Approach to Elasto-Plastic and Plastic Finite Element Analysis of Functionally Graded Beams under Transverse Pressure Loading

Hashempoor¹,

Talebitooti²

2017

MJMIE

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In this study a new numerical-analytical method for elasto-plastic and plastic modelling and simulating of FG beams is presented. The functionally graded (FG) beam composed of ten layers through the thickness and it is assumed that the mechanical properties of the beam vary through the thickness described by a simple power law distribution in terms of the volume fractions of constituents. The beam is assumed to be under transverse pressure load. In this paper a new method is presented based on linearization of the nonlinear part of the stress-strain curve of the material of the layers of the FG beam and using the elastic relations for bending analysis of beams. Numerical results for functionally graded beam are given and results of this paper for homogeneous beam are compared with other methods and good agreement is obtained between them. In addition, the effects of material properties on the stress field through the thickness of the FG beam are determined and discussed.

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Research on nonlinear, postbuckling and elasto-plastic analyses of framed structures and curved beams

Yang

Chen

2020

Meccanica

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A novel approach to elasto-plastic finite element analysis of beam structures using the concept of incremental secant stiffness

Cited by 6 publications

References 40 publications

Analytical Model of Nonlinear Semi-rigid Frames Using Finite Element Method

Analytical Model of Nonlinear Semi-rigid Frames Using Finite Element Method

A Novel Approach to Elasto-Plastic and Plastic Finite Element Analysis of Functionally Graded Beams under Transverse Pressure Loading

Research on nonlinear, postbuckling and elasto-plastic analyses of framed structures and curved beams

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