Analysis of Reinforced Concrete Beam‐Columns under Uniaxial Excitation

Zeris, Christos; Mahin, Stephen A.

doi:10.1061/(asce)0733-9445(1988)114:4(804)

Cited by 95 publications

(43 citation statements)

References 10 publications

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“…This divergence is a numerical inconsistency that arises when weakening systems are modeled using displacement-based fiber-section elements. The details of this issue are discussed by Zeris and Mahin (1988). In Figure 3.12b, the simulated section axial forces are plotted against the section curvature for the two integration points along the lowest element.…”

Section: Displacement-based Element Models: Db Dt Dfmentioning

confidence: 99%

The use of post-earthquake residual displacements as a performance indicator in seismic assessment

Yazgan

Dazio

2011

Georisk: Assessment and Management of Risk for Engineered Syste

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PrefaceModern performance based earthquake engineering addresses design, evaluation, construction, maintenance and decommission of structures and requires that their performance during an earthquake can be predicted with a known degree of accuracy. In this framework the importance of residual displacements is twofold: On one hand they represent a significant source of damage affecting mainly the serviceability and the repairability of the structure. On the other hand, after an earthquake, residual displacements are often the only measurable indicator of the shaking occurred during the earthquake. In the framework of a pre-earthquake design or assessment process, the expected residual displacements need to be predicted; while during a post-earthquake assessment the actual residual displacements can be measured.Within his present doctoral dissertation, Mr. Yazgan developed and validated against experimental evidence a new and original methodology to improve the estimate of maximum deformations occurred during an earthquake taking into account both observable damage and measurable residual displacements. The methodology is based on the Bayesian probabilistic theory and, as a particular novelty, explicitly considers model error. To estimate model error Mr. Yazgan carried out a very extensive study on the numerical modelling of structures under earthquake, which also allowed the formulation of practical modelling recommendations. The quantification of model error is of course of fundamental importance also for any realistic pre-earthquake prediction of residual displacements.The thorough and comprehensive work presented by Mr. Yazgan allows a deep understanding of the challenges relevant to the use of residual displacements in the seismic performance assessment of structures and his developments represent a new effective way to achieve this important goal. Zurich, January 2010Dr. Alessandro Dazio SummarySafety assessment of damaged structures is a pivotal part of the post-earthquake recovery process. As a result of the deformation histories that have occurred during the damaging earthquake, the key structural properties of the columns, beams and walls that contribute to the seismic resistance change. The key structural properties include stiffness, strength and deformation capacity. An accurate estimation of the residual key structural properties is crucial in identifying vulnerability of the damaged structure.These residual structural properties are known to be strongly dependent on the maximum deformations that have occurred. A new post-earthquake assessment method is developed following this premise. After an earthquake, the maximum deformations experienced by a damaged structure can be estimated using the developed method.The essential idea behind the method is to probabilistically estimate the experienced maximum deformations based on the post-earthquake residual displacements and the visible structural damage. The major uncertainties related to the estimated maximum deformations are explicitly treated in the me...

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Section: Displacement-based Element Models: Db Dt Dfmentioning

confidence: 99%

The use of post-earthquake residual displacements as a performance indicator in seismic assessment

Yazgan

Dazio

2011

Georisk: Assessment and Management of Risk for Engineered Syste

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“…The same term is also frequently used in computational mechanics to indicate an analogous FE pathology that occurs under the same physical conditions; i.e., softening constitutive behavior. Zeris and Mahin [1988] indicated that a conventional DB formulation is unable to establish solutions associated with softening behavior. Coleman and Spacone [2001a] comprehensively addressed the problem in an FB context.…”

Section: Localization From a Numerical Viewpointmentioning

confidence: 99%

“…This numerical issue, commonly known as strain localization or simply localization, was firstly discussed by Zeris and Mahin [1988] for DB elements, while Coleman and Spacone [2001a] studied it for FB elements. It is recalled that, particularly in the case of reinforced concrete (RC) frame elements, the increase of the axial load ratio can induce the change between a fully hardening and a softening type of sectional constitutive behavior.…”

Section: Introductionmentioning

confidence: 99%

Erratum

2010

Journal of Earthquake Engineering

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The sustained development of computational power continues to promote the use of distributed inelasticity fiber frame models. The current article presents a comprehensive application and discussion of state-of-the-art formulations for the nonlinear material response of reinforced concrete structures. The broad character of the study is imparted by the joint analysis of the effects of the type of formulation (displacement-based versus force-based), sectional constitutive behavior (hardening versus softening response), and numerical integration parameters (such as quadrature method, mesh definition, or number of integration points). Global and local responses are assessed, along with a critical review of existing regularization techniques. An experimentally tested cantilever is used to conduct the study and illustrate the previous features. The example shows that the convergence of displacement-based meshes under objective response can be much slower than what preceding studies indicate, unlike their force-based counterpart. Additionally, the physical interpretation of the local response under softening behavior supports the proposal of a novel regularization scheme for displacement-based elements, validated through comparison against experimental results.

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“…Through the use of adaptive refinement, this procedure enables accurate modelling of the effects of material plasticity, including concrete softening (Zeris & Mahin, 1988), on the overall member and structural response.…”

Section: Adaptive Nonlinear Analysismentioning

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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Analysis of Reinforced Concrete Beam‐Columns under Uniaxial Excitation

Cited by 95 publications

References 10 publications

The use of post-earthquake residual displacements as a performance indicator in seismic assessment

The use of post-earthquake residual displacements as a performance indicator in seismic assessment

Erratum

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

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