A constitutive model of concrete based on Ottosen yield criterion

Zhang, Xueyan; Wu, Haijun; Li, Jinzhu; Pi, Aiguo; Huang, Fenglei

doi:10.1016/j.ijsolstr.2020.02.013

Cited by 19 publications

(4 citation statements)

References 16 publications

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“…The elastic modulus matric

C_{e}

is expressed in Equation (). [ 34,35 ]

C_{e} = [\begin{matrix} \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ 0 & 0 & 0 & \frac{E}{2 false(1 + υ false)} & 0 & 0 \\ 0 & 0 & 0 & 0 & \frac{E}{2 false(1 + υ false)} & 0 \\ 0 & 0 & 0 & 0 & 0 & \frac{E}{2 false(} \end{matrix}

…”

Section: Constitutive Modelingunclassified

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A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

Jin

Qiu

et al. 2022

Adv Eng Mater

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The TB9 titanium alloy is one of the most promising materials for engineering application due to high strength, high toughness, and corrosion resistance. Constitutive modeling is an important issue for investigating the materials properties and mechanical behaviors of TB9 titanium alloys using the numerical simulation method. This article presents a pressure‐dependent elastoplastic asymmetric constitutive model that has a high capability of describing the deformation behavior of TB9 titanium alloy. The strain rate sensitivity model of strength differential coefficient evolution is proposed for an accurate simulation of the asymmetric yielding effect. Furthermore, an idea of yield surface plotted in the deviatoric stress space is presented for the decoupling of coupling effect of hydrostatic pressure and lode angle. The validity of this constitutive model is confirmed by comparing the compression stress–strain responses calculated using the proposed model with the experimental observations on TB9 titanium alloy.

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“…The elastic modulus matric

C_{e}

is expressed in Equation (). [ 34,35 ]

C_{e} = [\begin{matrix} \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E υ}{false(1 + υ false) false(1 - 2 υ false)} & \frac{E false(1 - υ false)}{false(1 + υ false) false(1 - 2 υ false)} & 0 & 0 & 0 \\ 0 & 0 & 0 & \frac{E}{2 false(1 + υ false)} & 0 & 0 \\ 0 & 0 & 0 & 0 & \frac{E}{2 false(1 + υ false)} & 0 \\ 0 & 0 & 0 & 0 & 0 & \frac{E}{2 false(} \end{matrix}

…”

Section: Constitutive Modelingunclassified

“…The elastic modulus matricC e is expressed in Equation ( 14). [34,35] where E and υ are elastic modulus and Poisson's ratio. According to the plastic potential theory, the plastic strain increment can be expressed as [36] dε…”

Section: Stress-strain Relationshipmentioning

confidence: 99%

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

Jin

Qiu

et al. 2022

Adv Eng Mater

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“…With all desirable characteristics but a simple expression, the Ottosen SC 51,64–67 is adopted in this paper. Only an additional strength value under triaxial compression is required, while four new model parameters are provided with explicit expressions based on failure strength data.…”

Section: Development Of the Lubliner–ottosen Scmentioning

confidence: 99%

An improved Lubliner strength model based on Ottosen failure criterion for concrete under multiaxial stress state

Lei

et al. 2021

Structural Concrete

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The Lubliner strength criterion (SC) can achieve desirable responses in the tension‐dominated and plane compressive stress states but overestimates the concrete strength under triaxial compression. Moreover, additional breakpoints without continuous derivatives occur along the hydrostatic pressure axis. The primary causes for these problems include the Lubliner SC constant γ parameter and breakpoints along the piecewise linear meridians. Therefore, a new Lubliner–Ottosen SC is developed with the parameter γ determined based on the Ottosen SC. The meridian contains smoothly connected straight and curved lines. Moreover, the deviatoric traces of the corresponding failure surface gradually change from curved triangles to approximate circles with increasing hydrostatic pressure. Finally, the proposed Lubliner–Ottosen SC is compared with other failure criteria and experimental results for concrete. Regardless of triaxial or nontriaxial compression, the new criterion can suitably represent the failure behavior of concrete in the various multiaxial stress states.

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“…Since WOP deals with the 3D FEM of a composite bridge with various materials, appropriate 3D failure criteria must be chosen rather than the conventional uniaxial stress-strain relationship for LR. In general, any suitable failure criteria can be deployed to execute WOP based on material types and engineering judgment [37,38]. Common failure surfaces for ductile and brittle materials are shown in Figure 2, in which 3D FEM stress fields can be compared to their associated uniaxial behaviors to detect PSs, since WOP automatically computes all structural components' interactions (axialshear-flexural) and compares appropriate equivalent stress to material yield stress.…”

Section: Stage (2): Lane-wise Segmentation and 3d Failurementioning

confidence: 99%

Finite Element Model-Based Weight-Over Process Philosophy for Bridge Loading Capacity Evaluation and Rating Factor Estimation

Karimpour

Rahmatalla

Ghadikolaee

2021

Advances in Civil Engineering

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Existing rating methods estimate bridge loading capacity and demand from secondary actions due to live loads in the primary structural components. In these methods, uniaxial yielding stress is traditionally used to detect component capacity using either stress quantities or shear-moment actions to compute the capacity demand of the bridge. These approximations can lead to uncertainties in load capacity estimation. This article presents the weight-over process (WOP), a novel computer-aided approach to bridge loading capacity evaluation based on tonnage and rating factor estimation. WOP is expected to capture different forms of failure in a more general manner than existing methods. In WOP, a bridge finite element model (FEM) is discretized into many sections and element sets, each containing a single material type, and each assigned a suitable 3D failure criterion. Then, factored gross vehicle weights (GVWs) are incrementally imposed on the bridge FEM with those predefined ultimate unfavored loading scenarios in a manner similar to proof load testing. WOP code runs nonlinear analysis at each increment until a stopping criterion is met. Two representative bridges were selected to confirm WOP’s feasibility and efficacy. The results showed that WOP-predicted values at the interior girders were between those of the conventional AASHTO and the nondestructive testing (NDT) strain measurement methods. That may put WOP in a favorable zone as a new method that is less conservative than AASHTO but more conservative than real NDT testing.

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A constitutive model of concrete based on Ottosen yield criterion

Cited by 19 publications

References 16 publications

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

A Strain Rate‐Dependent Constitutive Model for Asymmetric Hardening Behavior of TB9 Titanium Alloy

An improved Lubliner strength model based on Ottosen failure criterion for concrete under multiaxial stress state

Finite Element Model-Based Weight-Over Process Philosophy for Bridge Loading Capacity Evaluation and Rating Factor Estimation

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