A rate-dependent stochastic damage–plasticity model for quasi-brittle materials

Ren, Xiaodan; Zeng, Shajie

doi:10.1007/s00466-014-1100-7

Cited by 99 publications

(34 citation statements)

References 42 publications

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“…However, numbers of deficiencies are also detected in its applications (Ren et al, 2014). The yield function F and the evolutionary potential function F p defined by the effective stress are difficult to measure experimentally; meanwhile the physical background of these two functions is quite unclear.…”

Section: Plastic Strainsmentioning

confidence: 99%

A competitive mechanism driven damage-plasticity model for fatigue behavior of concrete

Liang

Ren

2015

International Journal of Damage Mechanics

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In this paper, an innovative three-dimensional plastic-damage model is proposed to describe the behavior of concrete material under fatigue loading. In the proposed model, two damage variables are defined to describe the fatigue degradation of the mechanical properties of concrete under tension and shear, respectively. Meanwhile, by adopting the elastoplastic damage energy release rates, which are derived from the elastoplastic Helmholtz free energy potentials, a novel fatigue damage evolution law is developed. Specifically, the damage evolution process is governed by the competition between the damage healing effect and the damage driving effect induced by the propagation and closure of micro cracks under fatigue loading. The proposed model also allows the accumulation of fatigue damage within the classical damage surface by adopting the loading/unloading irreversibility concept. Moreover, the evolution of plastic strains is considered within the framework of the effective stress space plasticity. In the end, a set of numerical tests is presented, and the validity and effectiveness of the proposed model are illustrated according to the simulated results and the comparisons with the experimental data in literatures.

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Section: Plastic Strainsmentioning

confidence: 99%

A competitive mechanism driven damage-plasticity model for fatigue behavior of concrete

Liang

Ren

2015

International Journal of Damage Mechanics

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“…

{\overset{true¯}{ε}}_{eq}^{-} = \frac{\sqrt{Y^{-}}}{α - 1},

with damage energy release rates Y + and Y − . The damage evolution functions are defined by the equations…”

Section: Numerical Simulationmentioning

confidence: 99%

“…The evolution of plastic strain ε p can be captured by the conventional plasticity theory. In the present work, the empirical model proposed by Ren et al was adopted as follows:…”

Section: Numerical Simulationmentioning

confidence: 99%

Mechanical properties of underpinning joints in structural moving: Experiments and numerical modeling

Yue

Ren

Zhang

2017

Struct Design Tall Spec Build

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Summary Underpinning is a key component in the structural moving process, especially for high‐rise buildings with gravitational loads. In this paper, a most commonly used 4‐sided wrapped underpinning joint with 2 underpinning beams and 2 coupling beams for the frame structures was investigated. Sixteen prototypes were tested considering different shear span‐to‐depth ratios, underpinning joint heights, reinforcement ratios, and so forth. The experimental results showed that the underpinning beams can fail in shear or flexure‐shear. The interface between the column and the beam is also prone to failure during the loading. Further, the bearing capacity can be greatly improved with decreasing of the shear span‐to‐depth ratio, whereas more damage may occur within the interface domain. In the numerical simulations, a damage–plasticity constitutive model was adopted, and the cohesive elements were used to model the old‐to‐new concrete interface between the column and beams. It was found that the numerical results agreed quite well with the experimental results. Thus, the proposed approach can be a useful basis for further analysis and optimized design of underpinning joints.

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“…Then the nonlinear constitutive relationship of concrete can be described as

bold-italicσ = ((), double-struckI - double-struckD) : \overset{σ}{true} = ((), double-struckI - double-struckD) : E_{0} : ((), bold-italicε - ε^{p}),

where

\overset{σ}{true}

is the effective stress tensor,

E_{0}

is the initial undamaged elastic stiffness,

double-struckI

is a fourth‐order unit tensor, and

double-struckD

is a fourth‐order damage tensor. The evolution of plastic strain ε p can be calculated by

{\overset{falsė}{bold-italicε}}^{p \pm} = f_{p}^{\pm} {\overset{falsė}{bold-italicε}}^{e \pm} = H ([], {\overset{D}{true}}^{\pm}) ξ_{p}^{\pm} {(D^{\pm})}^{n_{p}^{\pm}} {\overset{falsė}{bold-italicε}}^{e \pm},

where scalars

f_{p}^{\pm}

are considered as the function of the corresponding damage variable D ± ;

ξ_{p}^{\pm}

and

n_{p}^{\pm}

are the material parameters fitted by the experimental data.…”

Section: Numerical Platform For Collapse Simulation Of Rc Structuresmentioning

confidence: 99%

Stochastic seismic collapse and reliability assessment of high‐rise reinforced concrete structures

Zhou

Ding

2017

Structural Design Tall Build

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Summary To provide knowledge beyond the conventional engineering insights, attention in this work is focused on a comprehensive framework for the stochastic seismic collapse analysis and reliability assessment of large complex reinforced concrete (RC) structures. Three key notions are emphasized: the refined finite element modeling and analysis approach towards structural collapse, a physical random ground motion model, and an energy‐based structural collapse criterion. First, the softening of concrete material, which substantially contributes to the collapse of RC structures, is modeled by the stochastic damage constitutive model. Second, the physical random ground motion model is introduced to quantitatively describe the stochastic properties of the earthquake ground motions. And then the collapse‐resistance performance of a certain RC structure can be systematically evaluated on the basis of the probability density evolution method combining with the proposed structural collapse criterion. Numerical results regarding a prototype RC frame‐shear wall structure indicate that the randomness from ground motions dramatically affects the collapse behaviors of the structure and even leads to entirely different collapse modes. The proposed methodology is applicable in better understanding of the anti‐collapse design and collapse prediction of large complex RC buildings.

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A rate-dependent stochastic damage–plasticity model for quasi-brittle materials

Cited by 99 publications

References 42 publications

A competitive mechanism driven damage-plasticity model for fatigue behavior of concrete

A competitive mechanism driven damage-plasticity model for fatigue behavior of concrete

Mechanical properties of underpinning joints in structural moving: Experiments and numerical modeling

Stochastic seismic collapse and reliability assessment of high‐rise reinforced concrete structures

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