Concrete Uniaxial Nonlocal Damage-Plasticity Model for Simulating Post-Peak Response of Reinforced Concrete Beam-Columns under Cyclic Loading

Kenawy, Maha; Kunnath, Sashi K.; Kolwankar, Subodh; Kanvinde, Amit

doi:10.1061/(asce)st.1943-541x.0002592

Cited by 14 publications

(3 citation statements)

References 32 publications

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“…In addition, the embedded discontinuity technique 41–43 is introduced to the beam element to consider localized inelastic deformations corresponding to the zones in RC frames where plasticity or damage would concentrate. On the other hand, several advances in Timoshenko fiber beam‐column element have been achieved, such as the multi‐fiber element using strut‐and‐tie models, 44 micro‐plane model, 45 smeared crack models, 46 and damage models 20,47 . The nonlinear behavior of a displacement‐based beam element 27,38 and a force‐based beam element 48,49 is comprehensively investigated based on the damage plasticity model, where the uniaxial Menegotto–Pinto (MP) model of steel reinforcement has been used to describe the sectional behavior of the beam element.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, several advances in Timoshenko fiber beam-column element have been achieved, such as the multi-fiber element using strut-and-tie models, 44 micro-plane model, 45 smeared crack models, 46 and damage models. 20,47 The nonlinear behavior of a displacement-based beam element 27,38 and a force-based beam element 48,49 is comprehensively investigated based on the damage plasticity model, where the uniaxial Menegotto-Pinto (MP) model of steel reinforcement has been used to describe the sectional behavior of the beam element. However, this model does not consider the shear capacity provided by the stirrups and may underestimate the bearing capacity of the RC members.…”

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confidence: 99%

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A convergence‐enhanced Timoshenko beam element for the stochastic nonlinear analysis of reinforced concrete components

Xiang,

Gao

2024

Numerical Meth Engineering

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An effective and precise physical model is generally required for the performance assessment of reinforced concrete (RC) components. In this study, a convergence‐enhanced Timoshenko beam element considering finite deformation is proposed for the stochastic nonlinear analysis of RC components. The unified framework of the rank 2 correction matrix is obtained by approximating the iterative matrix through the linearly independent basis vectors, and two types of Broyden–Fletcher–Goldfarb–Shanno (BFGS) operators are constructed. Then, a consistent solution scheme with superior numerical stability and efficiency is proposed based on the second kind of BFGS operator and improved quasi‐Newton method. Accurate discretization of the displacement fields and description of nonlinear sectional behavior are achieved by the high‐order Lagrangian interpolation functions, concrete damage‐plasticity model and J2 plasticity model. In an updated Lagrangian formulation, these shape functions and constitutive relationships are used to develop a complete secant stiffness with higher‐order terms in the strain tensor and residual force vector. To validate the proposed Timoshenko beam element, numerical applications involving material nonlinearity and geometrical nonlinearity are conducted. The numerical stability and efficiency of the solution scheme, the shear‐locking free technique, and the oscillation of axial force are thoroughly examined and discussed by solution of RC columns, cantilever beam and progressive collapse of planar RC frame. Finally, the parametric study considering the geometric and material randomness indicates that the RC column designed for flexural failure mode suffered considerable degradation of loading capacity and a larger scatter of residual load.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

A convergence‐enhanced Timoshenko beam element for the stochastic nonlinear analysis of reinforced concrete components

Xiang,

Gao

2024

Numerical Meth Engineering

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“…There has been a recent works with the goal of simulating the evolution of the stimulated volume during hydraulic fracturing (Sarvaramini et al , 2019) in rocks. This was achieved by introducing an equivalent continuum nonlocal poro-elastic-plastic zone of enhanced permeability for the stimulated region, characterized by an internal length scale (Kenawy et al , 2020). Hence, it is crucial to incorporate the damage while studying the softening behavior in concrete (Jirasek and Desmorat, 2019) and are able to more precisely model crack propagation in concrete (Kurumatania et al , 2019; Poh and Swaddiwudhipong, 2009; Grassl and Jirásek, 2006).…”

Section: Introductionmentioning

confidence: 99%

Nonlocal plasticity-based damage modeling in quasi-brittle materials using an isogeometric approach

Rawat

Raghu

Rajagopal

et al. 2021

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Purpose This paper aims to present a nonlocal gradient plasticity damage model to demonstrate the crack pattern of a body, in an elastic and plastic state, in terms of damage law. The main objective of this paper is to reconsider the nonlocal theory by including the material in-homogeneity caused by damage and plasticity. The nonlocal nature of the strain field provides a regularization to overcome the analytical and computational problems induced by softening constitutive laws. Such an approach requires C1 continuous approximation. This is achieved by using an isogeometric approximation (IGA). Numerical examples in one and two dimensions are presented. Design/methodology/approach In this work, the authors propose a nonlocal elastic plastic damage model. The nonlocal nature of the strain field provides a regularization to overcome the analytical and computational problems induced by softening constitutive laws. An additive decomposition of strains in to elastic and inelastic or plastic part is considered. To obtain stable damage, a higher gradient order is considered for an integral equation, which is obtained by the Taylor series expansion of the local inelastic strain around the point under consideration. The higher-order continuity of nonuniform rational B-splines (NURBS) functions used in isogeometric analysis are adopted here to implement in a numerical scheme. To demonstrate the validity of the proposed model, numerical examples in one and two dimensions are presented. Findings The proposed nonlocal elastic plastic damage model is able to predict the damage in an accurate manner. The numerical results are mesh independent. The nonlocal terms add a regularization to the model especially for strain softening type of materials. The consideration of nonlocality in inelastic strains is more meaningful to the physics of damage. The use of IGA framework and NURBS basis functions add to the nonlocal nature in approximations of the field variables. Research limitations/implications The method can be extended to 3D. The model does not consider the effect of temperature and the dissipation of energy due to temperature. The method needs to be implemented for more real practical problems and compare with experimental work. This is an ongoing work. Practical implications The nonlocal models are suitable for predicting damage in quasi brittle materials. The use of elastic plastic theories allows to capture the inelastic deformations more accurately. Social implications The nonlocal models are suitable for predicting damage in quasi brittle materials. The use of elastic plastic theories allows to capture the inelastic deformations more accurately. Originality/value The present work includes the formulation and implementation of a nonlocal damage plasticity model using an isogeometric discretization, which is the novel contribution of this paper. An implicit gradient enhancement is considered to the inelastic strain. During inelastic deformations, the proposed strain tensor partitioning allows the use of a distinct potential surface and distinct failure criterion for both damage and plasticity models. The use of NURBS basis functions adds to more nonlocality in the approximation.

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A numerical critical shear crack model and its application to post‐peak behavior assessment of RC and SFRC beams

Xiang,

Yu,

Gao

2024

Structural Concrete

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In this paper, a numerical critical shear crack model, in which the shear‐flexural coupling effect is considered and the full process of stress and strain is captured, is proposed to evaluate the post‐peak behavior of reinforced concrete (RC) and steel fiber reinforced concrete (SFRC) beams. The shape of critical shear crack is identified by combining the modified compression field theory considering the bridge effect of steel fibers and the section analysis method. Based on the shape of critical shear crack, the shear capacity of beam members is provided by the shear tension zone and the shear compression zone. The shear capacity of the shear tension zone is calculated by the modified compression field theory and that of the shear compression zone is determined by multiaxial strength criterion of concrete. The vertical displacements caused by the flexure deformation and shear deformation are deduced by the moment area method and integration of shear strain. To verify the proposed numerical approach, a test database of 486 RC beams and 313 SFRC beams was established to predict the shear strength, and the force‐displacement relationships of twelve beam members are used to validate the feasibility for full process analysis. The stochastic analysis of beams with different failure modes is conducted via GF‐discrepancy‐based point selection method and probability density evolution method. The limitation between different failure modes is defined according to the degradation percent of shear capacity and it is taken as threshold value of failure domain, and the failure probability analysis indicates that the designed flexure beam member suffered severe degradation of shear capacity, resulting in a significant decline in safety probability.

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Concrete Uniaxial Nonlocal Damage-Plasticity Model for Simulating Post-Peak Response of Reinforced Concrete Beam-Columns under Cyclic Loading

Cited by 14 publications

References 32 publications

A convergence‐enhanced Timoshenko beam element for the stochastic nonlinear analysis of reinforced concrete components

A convergence‐enhanced Timoshenko beam element for the stochastic nonlinear analysis of reinforced concrete components

Nonlocal plasticity-based damage modeling in quasi-brittle materials using an isogeometric approach

A numerical critical shear crack model and its application to post‐peak behavior assessment of RC and SFRC beams

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