Continuum large cracking in a rate‐dependent plastic–damage model for cyclic‐loaded concrete structures

Omidi, Omid; Lotfi, Vahid

doi:10.1002/nag.2093

Cited by 22 publications

(13 citation statements)

References 47 publications

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“…Under the action of uniaxial reciprocating loading, the model uses w t and w c to control the recovery of material stiffness under the reverse loading. [13][14][15] Figure 1 shows the schematic diagram of the elastic modulus recovery in CDP model under the uniaxial cyclic loading (from tension to compression, and to tension again) when the weighting factors of tension and compression are, respectively, described as w t = 0 (from compression to tension) and w c = 1 (from the tension to compression). Under the axial tension, the tensile stress of concrete increases.…”

Section: Cdp Model Under Uniaxial Cyclic Loadingmentioning

confidence: 99%

“…where a t is the parameter values of the upward section of the uniaxial tensile stress-strain curve and calculations can be found in the specification 17 Appendix C. 2.1; a a and a d , respectively, indicate the parameter values of the upward section and downward section of the uniaxial tensile stress-strain curve and calculations can be found in the specification 17 Appendix C. 2.1. In this article, C40 concrete is taken as the object of study, and the plastic-damage factor-strain curves under the uniaxial tension and compression can be obtained from equations (10)- (13), as shown in Figures 7 and 8.…”

Section: Elastic Residual Energy Of Non-damaged Materialsmentioning

confidence: 99%

“…When the material steps into plasticity, the tensile and compressive plastic-damage factors in the CDP model can be obtained by formulas (10)- (13), which can be seen in Table 1.…”

Section: Calculation Parametersmentioning

confidence: 99%

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Concrete plastic-damage factor for finite element analysis: Concept, simulation, and experiment

Xiao

Chen

Zhou

et al. 2017

Advances in Mechanical Engineering

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The plastic-damage factor of concrete structures is important for structural load-capacity assessment, while it has not been determined properly. In this article, two methods perspectively based on the strain equivalent principle and Sidiroff energy equivalent principle are proposed to determine the plastic-damage factor of the concrete uniaxial constitutive relation in a specification. Both of them were applied to a finite element analysis model of a simply-supported beam for nonlinear load-capacity analysis. The load-capacity experiment of the beam was carried out in unison. From the comparison of the result obtained by the energy equivalent principle method coincides better with the experimental result, which suggests that the energy equivalent principle method is reasonable and applicable. Therefore, the factor could be recommended for further consideration in specification and finite element analysis calculations.

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Section: Cdp Model Under Uniaxial Cyclic Loadingmentioning

confidence: 99%

Section: Elastic Residual Energy Of Non-damaged Materialsmentioning

confidence: 99%

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Concrete plastic-damage factor for finite element analysis: Concept, simulation, and experiment

Xiao

Chen

Zhou

et al. 2017

Advances in Mechanical Engineering

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“…With utilizing the spectral return‐mapping algorithm proposed in , the numerical implementation including the algorithmic tangent operator and the stress update algorithm modified to consider large cracking possibilities has been detailed by Omidi and Lotfi in .…”

Section: Main Features Of Plastic–damage Modelmentioning

confidence: 99%

“…The tangent operator, which is consistent with the stress updating algorithm, is derived from the linearized constitutive relations around the given state. Considering large cracking possibilities and visco‐plastic regularization, the derivation details of the algorithmic tangent stiffness have been given in . Furthermore, according to El‐Aidi and Hall , the mass‐proportional term for the damping matrix has been omitted, because it would provide some artificial numerical stability during time‐marching process.…”

Section: Time Integration Scheme With Dam–reservoir Interactionmentioning

confidence: 99%

Earthquake response of concrete arch dams: a plastic–damage approach

Omidi

Lotfi

2013

Earthq Engng Struct Dyn

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SUMMARYThere are several alternatives to evaluate seismic damage-cracking behavior of concrete arch dams, among which damage theory is the most popular. A more recent option introduced for this purpose is plasticdamage (PD) approach. In this study, a special finite element program coded in 3-D space is developed on the basis of a well-established PD model successfully applied to gravity dams in 2-D plane stress state. The model originally proposed by Lee and Fenves in 1998 relies on isotropic damaged elasticity in combination with isotropic tensile and compressive plasticity to capture inelastic behaviors of concrete in cyclic or dynamic loadings. The present implementation is based on the rate-dependent version of the model, including large crack opening/closing possibilities. Moreover, with utilizing the Hilber-Hughes-Taylor time integration scheme, an incremental-iterative solution strategy is detailed for the coupled dam-reservoir equations while the damage-dependent damping stress is included. The program is initially validated, and then, it is employed for the main analyses of the Koyna gravity dam in a 3-D modeling as well as a typical concrete arch dam. The former is a major verification for the further examination on the arch dam. The application of the PD model to an arch dam is more challenging because the governing stress condition is multiaxial, causing shear damage to become more important than uniaxial states dominated in gravity dams. In fact, the softening and strength loss in compression for the damaged regions under multiaxial cyclic loadings affect its seismic safety.

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From ductile damage to unilateral contact via a point-wise implicit discontinuity

Daneshyar,

Herrmann,

Kollmannsberger

2023

Comput Mech

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Ductile damage models and cohesive laws incorporate the material plasticity entailing the growth of irrecoverable deformations even after complete failure. This unrealistic growth remains concealed until the unilateral effects arising from the crack closure emerge. We address this issue by proposing a new strategy to cope with the entire process of failure, from the very inception in the form of diffuse damage to the final stage, i.e. the emergence of sharp cracks. To this end, we introduce a new strain field, termed discontinuity strain, to the conventional additive strain decomposition to account for discontinuities in a continuous sense so that the standard principle of virtual work applies. We treat this strain field similar to a strong discontinuity, yet without introducing new kinematic variables and nonlinear boundary conditions. In this paper, we demonstrate the effectiveness of this new strategy at a simple ductile damage constitutive model. The model uses a scalar damage index to control the degradation process. The discontinuity strain field is injected into the strain decomposition if this damage index exceeds a certain threshold. The threshold corresponds to the limit at which the induced imperfections merge and form a discrete crack. With three-point bending tests under pure mode I and mixed-mode conditions, we demonstrate that this augmentation does not show the early crack closure artifact which is wrongly predicted by plastic damage formulations at load reversal. We also use the concrete damaged plasticity model provided in Abaqus commercial finite element program for our comparison. Lastly, a high-intensity low-cycle fatigue test demonstrates the unilateral effects resulting from the complete closure of the induced crack.

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Continuum large cracking in a rate‐dependent plastic–damage model for cyclic‐loaded concrete structures

Cited by 22 publications

References 47 publications

Concrete plastic-damage factor for finite element analysis: Concept, simulation, and experiment

Concrete plastic-damage factor for finite element analysis: Concept, simulation, and experiment

Earthquake response of concrete arch dams: a plastic–damage approach

From ductile damage to unilateral contact via a point-wise implicit discontinuity

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