Numerical integration of a class of 3d plastic-damage concrete models and condensation of 3d stress–strain relations for use in beam finite elements

Saritas, Afsin; Filippou, Filip C.

doi:10.1016/j.engstruct.2009.05.005

Cited by 42 publications

(24 citation statements)

References 28 publications

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“…The convergence of (26) may not be easily made in some cases, especially when the strain increment Δ within Δ is large. Therefore, an adaptive substepping strategy [17,29] is employed if the convergence cannot be made for given tolerance or a maximum number of iterations in the solution. The total strain increment Δ from to +1 can then be divided into parts according to (not necessary equal) (29) where = Δ /Δ .…”

Section: Substepping Strategymentioning

confidence: 99%

Numerical Implementation of Spatial Elastoplastic Damage Model of Concrete in the Framework of Isogeometric Analysis Approach

Chen

Sun

2016

Mathematical Problems in Engineering

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This paper is a study of the numerical implementation of the spatial elastoplastic damage model of concrete by isogeometric analysis (IGA) method from three perspectives: the geometric modeling and the numerical formulation via IGA method, the constitutive model of concrete, and the solution algorithms for the local and global problems. The plasticity of concrete is considered on the basis of a nonassociated flow rule, where a three-parameter Barcelona yield surface and a modified Drucker-Prager plastic potential are used. The damage evolution of concrete driven by the internal variables is expressed by a piecewise function. In the study, the return-mapping algorithm and the substepping strategy are used for stress updating, and a new dissipation-based arc-length method with constraint path that considers the combined contribution of plasticity and damage to the energy dissipation is employed to trace the equilibrium path. After comparisons between simulation results and experimental data, the use of the elastoplastic damage model in the framework of IGA approach is proven to be practical in reflecting material properties of concrete.

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Section: Substepping Strategymentioning

confidence: 99%

Numerical Implementation of Spatial Elastoplastic Damage Model of Concrete in the Framework of Isogeometric Analysis Approach

Chen

Sun

2016

Mathematical Problems in Engineering

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“…. The tensile fracture energies are ranging from 100 N/m to 130 N/m, while the compressive fracture energies are ranging from 25000 N/m to 35000 N/m[36,52]. With l ch and G ± f , the material descending parameters α ± can be easily determined through uniaxial tension and compression tests and Eq.…”

mentioning

confidence: 99%

“…The × × tensile fracture energies are ranging from 100 N/ N m to 130 N/ N m, while the compressive fracture energies are ranging N/ N m N/ N m f determined through uniaxial tension and compression tests and Eq. (4).can be easily and G ± f , the material descending parameters l ch from 25000 N/ N m to 35000 N/ N m[36,52]. With α ± Schematic design of the flexure failure specimens S2/S3 by Guan et al[1] (dimensions are in mm)…”

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confidence: 99%

Finite element modelling approach for precast reinforced concrete beam-to-column connections under cyclic loading

Feng

2018

Engineering Structures

104

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In this paper, a finite element modelling approach is developed for the analysis of the cyclic behavior of precast beamto-column connections. In particular, the modelling takes into account the compression-softening of concrete, the bond-slip effect in the critical regions and the representation of the post-cast concrete interface. A newly developed softened damage-plasticity model, which can reproduce the typical cyclic behavior of reinforced concrete, is adopted for concrete. Meanwhile, to reflect the significant bond-slip effect between concrete and reinforcement bars, the M-P stress-strain model is modified to account for the slippage by assuming the bar strain is the sum of the bar deformation and the slip, while the anchorage slip is theoretically derived and validated through benchmarking the pull-out tests. Additionally, a concrete layer between the precast concrete and the cast-in-situ concrete is incorporated to reflect the features of the interface. The proposed numerical modelling approach is validated through simulation of both interior and exterior precast beam-to-column connection tests. The validated models are subsequently employed to investigate the influences of key factors such as the compression-softening and the bond-slip effect on the analysis of the cyclic behavior of the precast beam-to-column connections. Results demonstrate that the proposed model is capable of reproducing the typical behavior of precast beam-to-column connections and can serve as an effective tool for the seismic performance analysis and investigation of design parameters of precast connections.

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“…Constitutive models for concrete based on the combination of the theories of plasticity and isotropic damage mechanics can be found, e.g. in [29][30][31][32]. A damage-plasticity model with a rate-dependent viscoplastic extension was proposed by Lee [33].…”

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confidence: 99%

Review and enhancement of 3D concrete models for large‐scale numerical simulations of concrete structures

Hofstetter

2011

Num Anal Meth Geomechanics

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The present paper focuses on selected plasticity and damage-plasticity models for describing the 3D material behavior of concrete. In particular, a plasticity model and a damage-plasticity model are reviewed and evaluated. Based on the results of the evaluation, enhancements are proposed, aiming at improving the correspondence between predicted and observed material behavior and aiming at implementing a robust and efficient stress update algorithm in a finite element program for performing large-scale 3D numerical simulations of concrete structures. The capabilities of the concrete models are demonstrated by 3D numerical simulations of benchmark tests with combined bending and torsional loading and combined compression and shear loading and by a large-scale 3D finite element analysis of a model test of a concrete arch dam. Copyright [14] modified the concrete model of Willam [5] to improve its robustness for the stress update. Haufe [15] enhanced the evolution equations of the yield function and the plastic potential of the concrete model developed by Kang [11]. Pivonka [16] extended two elastic-plastic models for describing concrete behavior due to high compressive stresses. Different from most classical plasticity models, Grassl [17] developed a model in which hardening is controlled only by the volumetric part of the plastic strains. Recently, a single-parameter plasticity model for concrete was presented by Papanikolaou [18].Viscoelastic and/or viscoplastic models were developed for describing time-dependent material behavior, e.g. aging and creep of concrete (see, e.g., [19,20]). Viscoplastic models can also serve for regularizing rate-independent plasticity models in case of softening behavior.Constitutive models based on the theory of damage mechanics describe the degradation of the initial elastic stiffness tensor caused by propagating micro-cracks. Basically, isotropic damage models and anisotropic damage models can be distinguished. Isotropic damage models for concrete can be found, e.g., in [21,22] and a comparative study of different definitions of damage variables is contained in [23]. Huber [24] proposed a three-dimensional gradient-enhanced isotropic damage model. Anisotropic damage models were proposed, e.g., in [25] and by Papa [26], who used two independent second-order symmetric damage tensors for describing damage due to tensile and compressive strains, respectively. Based on the argument that damage is not related to the loading sign but to the micro-crack pattern Desmorat [27] developed a nonlocal anisotropic damage model which contains only one second-order damage tensor. A comparison of different damage models with regard to mesh bias effects can be found in [28].By combining the theories of plasticity and continuum damage mechanics, both irreversible (plastic) strains and the degradation of the elastic stiffness tensor can be described. Constitutive models for concrete based on the combination of the theories of plasticity and isotropic damage mechanics can be found, e.g. in [29][30][31][...

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Numerical integration of a class of 3d plastic-damage concrete models and condensation of 3d stress–strain relations for use in beam finite elements

Cited by 42 publications

References 28 publications

Numerical Implementation of Spatial Elastoplastic Damage Model of Concrete in the Framework of Isogeometric Analysis Approach

Numerical Implementation of Spatial Elastoplastic Damage Model of Concrete in the Framework of Isogeometric Analysis Approach

Finite element modelling approach for precast reinforced concrete beam-to-column connections under cyclic loading

Review and enhancement of 3D concrete models for large‐scale numerical simulations of concrete structures

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