Numerical Investigation of the Elastic-Plastic Linear Hardening Stress-Strain State of the Frame Element Cross-Section

Grigusevičius, Andrius; Blaževičius, Gediminas

doi:10.3846/2029882x.2016.1217796

Cited by 1 publication

(5 citation statements)

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“…In this paper the authors continue their previous research [17] on the non-linear stress-strain state in a cross section and its numerical application for steel frame analysis.…”

Section: Introductionmentioning

confidence: 80%

“…5. This publication describes a more academic -rectangular steel section analysis, nevertheless the presented methodology together with the previously published analytical equations [17] can be applied for the elastic-plastic stress-strain analysis of any cross-section.…”

Section: Discussionmentioning

confidence: 99%

“…(18) defines the equilibrium of forces perpendicular to the plane of the cross section; equation (19) defines the equilibrium of bending moments in respect to the neutral axis. Equations (20) relate stresses and curvature in different zones of the cross section (taking into account the 'plane sections' assumption (17) and Eq. (2)).…”

Section: Stress-strain Statementioning

confidence: 99%

“…Equations (21) relate to the heights of elastic deformations zones h el1 , h el2 , the height of plastic deformations zone h pl and the ordinate of neutral axis y 0 . For a more detailed explanation of these equations refer to [17]. The seven equation system (18)-(21) can be mathematically simplified to:…”

Section: Stress-strain Statementioning

confidence: 99%

“…4a) and axial force limits ( Table 1 and Fig. 4b) are explained in detail in [17]. Table 2 allows the determination of which combination of stress-strain state variations is to be used for a particular cross section subjected to the bending moment and axial force.…”

Section: Stress-strain Statementioning

confidence: 99%

See 4 more Smart Citations

A Distributed Plasticity Approach for Steel Frames Analysis Including Strain Hardening Effects

Grigusevičius

Blaževičius

2019

Period. Polytech. Civil Eng.

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This paper focuses on the creation and numerical application of physically nonlinear plane steel frames analysis problems. The frames are analysed using finite elements with axial and bending deformations taken into account. Two nonlinear physical models are used and compared -linear hardening and ideal elastic-plastic. In the first model, distributions of plastic deformations along the elements and across the sections are taken into account. The proposed method allows for an exact determination of the stress-strain state of a rectangular section subjected to an arbitrary combination of bending moment and axial force. Development of plastic deformations in time and distribution along the length of elements are determined by dividing the structure (and loading) into the parts (increments) and determining the reduced modulus of elasticity for every part. The plastic hinge concept is used for the analysis based on the ideal elastic-plastic model. The created calculation algorithms have been fully implemented in a computer program. The numerical results of the two problems are presented in detail. Besides the stress-strain analysis, the described examples demonstrate how the accuracy of the results depends on the number of finite elements, on the number of load increments and on the physical material model. COMSOL finite element analysis software was used to compare the presented 1D FEM methodology to the 3D FEM mesh model analysis. Keywordsreduced modulus of elasticity, distributed plasticity, incremental method, linear hardening, plastic deformations 402| Grigusevičius and Blaževičius Period.

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“…In this paper the authors continue their previous research [17] on the non-linear stress-strain state in a cross section and its numerical application for steel frame analysis.…”

Section: Introductionmentioning

confidence: 80%

Section: Discussionmentioning

confidence: 99%