Bounding Surface Model for Cyclic Biaxial Bending of RC Sections

Sfakianakis, Manolis G.; Fardis, Michael N.

doi:10.1061/(asce)0733-9399(1991)117:12(2748)

Cited by 29 publications

(9 citation statements)

References 13 publications

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“…At the section level, for given geometry and reinforcement, the Bounding Surface can be constructed accurately through a section analysis procedure or program, which traces up to ultimate the moment-curvature response of the section in proportional monotonic bending (uniaxial or biaxial) with constant axial force. Analytical expressions for the ultimate moment in uniaxial or equal biaxial loading may be used instead, along with interpolations for intermediate moment ratios [Sfakianakis and Fardis, 1991a;1991b]. For low shear span ratio members, which fail in a combined shear-flexural mode, the reduction of ultimate (moment) capacity with decreasing shear span ratio can be determined also, through models which take into account the amount of transverse reinforcement [Chapter 2 in CEB, 1996].…”

Section: The Concept Of a Bounding Surface For Column Cyclic Biaxial mentioning

confidence: 99%

“…Earlier Bounding Surface models [Sfakianakis and Fardis, 1991a;1991b] do not include coupling between the two directions of bending and take into account only flexural and axial deformations, neglecting the effects of shear and bond slip. The present model reproduces realistically the coupling of the force-deformation response between the two directions of bending, which is an important additional source of energy dissipation in cyclic loading.…”

Section: The Concept Of a Bounding Surface For Column Cyclic Biaxial mentioning

confidence: 99%

“…Modelling efforts outside the framework of fibre models typically follow the concepts and formalism of Classical Plasticity [Padilla-Mora and Schnobrich, 1974;Pecknold, 1974;Tseng and Penzien, 1975], Mroz's Multisurface Plasticity [Takizawa and Aoyama, 1976;Chen and Powell, 1982], Bouc's [1967] hysteresis model [Kunnath and Reinhorn, 1990], or Bounding Surface Plasticity [Sfakianakis and Fardis, 1991a;1991b]. Within this formalism, internal forces at the section level or at member ends are adopted as generalised stresses and the associated section or member deformations are considered as the corresponding generalised strains.…”

Section: Introductionmentioning

confidence: 99%

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Bousias¹

2002

J. Earth. Eng.

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A model is proposed for the incremental force-deformation behaviour of reinforced concrete sections and members, under generalised load or deformation histories in 3D, including cyclic loading, up to ultimate deformation. At the section level the model is of the Bounding Surface type and accounts for the coupling between the two directions of bending and between them and the axial direction. For the construction of the member tangent flexibility matrix on the basis of the section tangent flexibility matrix, a piecewise-linear variation along the member is assumed for the nine terms of the tangent section flexibility matrix. Model parameters are derived on the basis of available test results for: (a) the force-deformation response under cyclic biaxial bending with normal force; (b) the hysteretic energy dissipation; (c) the secant-to-yield member stiffness, and (d) the ultimate deformation of the member under cyclic biaxial load paths.

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Section: The Concept Of a Bounding Surface For Column Cyclic Biaxial mentioning

confidence: 99%

Section: The Concept Of a Bounding Surface For Column Cyclic Biaxial mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Bousias¹

2002

J. Earth. Eng.

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“…Such variations can occur due to the vertical component of the seismic load, or in the external columns of the bottom storeys of RC frames, due to the overturning moments [5,8]. In fact, different authors have concluded that the variation in the axial load combined with the horizontal cycle actions affect significantly the inelastic response of the columns [9][10][11]. Only a limited number of RC columns were tested under bi-directional horizontal forces, due to testing difficulties.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of repaired RC columns subjected to uniaxial and biaxial horizontal loading and variable axial load with longitudinal reinforcement welded steel bars solutions

Rodrigues

Furtado

Arêde

et al. 2018

Engineering Structures

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A B S T R A C TThe study of the reinforced concrete (RC) columns' response to horizontal cyclic loads is of full importance to understand how earthquakes affect the integrity of structures. Essentially those already built and especially vulnerable to this type of action, as is the case of many existing buildings on significant seismic activity zones which are not adequately prepared for that eventuality. Consequently, there is also the need to perform a significant number of studies of repairing procedures of structural elements, so as to restore its function and possibly achieve an improvement in relation to its original seismic resistance. The present experimental work is focused in the study of welding joints for steel bars used in building columns, supported by tensile tests on specimens according to the actual welding regulations. The experimental results are analyzed and discussed with particular attention to the specimens' behaviour in terms of strength and ductility compared to the results obtained for original steel bars. After the definition of the proper welding solution, six RC columns previously tested were repaired and retrofitted with this solution tested under uniaxial and biaxial horizontal loading and variable axial load in order to compare the global result with the original tested columns and the effects introduced by the repair process. Adequate detailing can improve the structure seismic behaviour by (H. Rodrigues).Engineering Structures 155 (2018) 371-386 0141-0296/

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“…The second approach employs interaction relationships on the cross-sectional level, based mainly on principles of plasticity (Sfakianakis & Fardis, 1991), but has also been restricted to rectangular cross-sections. The third approach, commonly known as the fibre approach, is applicable to cross-sections of various shapes and materials, and is based on discretising the cross-section into a large number of small areas (Izzuddin & Elnashai, 1993-a;Spacone & Fillipou, 1994; El-Metwally et al, 1990) over which material stresses and strains are monitored.…”

Section: Introductionmentioning

confidence: 99%

An efficient beam–column formulation for 3D reinforced concrete frames

Izzuddin

Siyam

Smith

2002

Computers & Structures

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This paper presents a new beam-column formulation which can be used for the accurate, yet efficient, modelling of 3D reinforced concrete (R/C) frames. The formulation is intended for modelling the nonlinear elastic behaviour of a whole R/C beam-column with only one element, which is an essential ingredient of adaptive elasto-plastic analysis. On the longitudinal axis level, quartic shape functions are used to represent the two transverse displacements. A constant axial force criterion is employed instead of shape functions for the axial displacement, which is largely responsible for the accuracy of the proposed formulation. For concrete, the formulation assumes a nonlinear compressive stress-strain relationship and no tensile resistance; whereas for steel, a linear stress-strain relationship is utilised. On the crosssectional level, the formulation is capable of modelling the interaction between the axial force and the biaxial moments for a general R/C cross-section, with explicit expressions obtained using a novel approach based on integration over triangular subdomains. The paper provides the details of the proposed formulation, and presents several verification examples to demonstrate the accuracy of this formulation and its ability to model the nonlinear elastic response of reinforced concrete beam-columns with only one element per member.

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Bounding Surface Model for Cyclic Biaxial Bending of RC Sections

Cited by 29 publications

References 13 publications

Untitled

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Experimental study of repaired RC columns subjected to uniaxial and biaxial horizontal loading and variable axial load with longitudinal reinforcement welded steel bars solutions

An efficient beam–column formulation for 3D reinforced concrete frames

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