A modified constitutive model based on Arrhenius-type equation to predict the flow behavior of Fe–36%Ni Invar alloy

The hot deformation behavior of SiC/6168Al composite was studied by means of hot compression tests in the temperature range of 300-450 °C and strain rate range of 0.01-10 s-1. The constitutive model was developed to predict the stress-strain curves of this composite during hot deformation. This model was established by considering the effect of the strain on material constants calculated by using the Zenter-Hollomon parameter in the hyperbolic Arrhenius-type equation. It was found that the relationship of n, α, Q, lnA and ε could be expressed by a five-order polynomial. The stress-strain curves obtained by this model showed a good agreement with experimental results. The proposed model can accurately describe the hot flow behavior of SiC/6168Al composite, and can be used to numerically analyze the hot forming processes.

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Anisotropic steady-state creep behavior of Single-crystal β-Sn: A continuum constitutive model based on crystal viscoplasticity

International Journal of Plasticity ◽

10.1016/j.ijplas.2021.102975 ◽

2021 ◽

Vol 140 ◽

pp. 102975

Author(s):

Q. Jiang ◽

A. Dasgupta

Keyword(s):

Steady State ◽

Constitutive Model ◽

Single Crystal ◽

Creep Behavior ◽

Steady State Creep ◽

Model Based

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Developing a two-step improved damage creep constitutive model based on soft rock saturation-loss cycle triaxial creep test

Natural Hazards ◽

10.1007/s11069-021-04779-6 ◽

2021 ◽

Author(s):

Anrun Li ◽

Hui Deng ◽

Haojie Zhang ◽

Mingliang Jiang ◽

Hanhan Liu ◽

...

Keyword(s):

Constitutive Model ◽

Creep Test ◽

Soft Rock ◽

Model Based ◽

Triaxial Creep ◽

Creep Constitutive Model ◽

Triaxial Creep Test

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A Flow Stress Model of 300M Steel for Isothermal Tension

Materials ◽

10.3390/ma14020252 ◽

2021 ◽

Vol 14 (2) ◽

pp. 252

Author(s):

Rongchuang Chen ◽

Shiyang Zhang ◽

Xianlong Liu ◽

Fei Feng

Keyword(s):

Flow Stress ◽

Constitutive Model ◽

Tensile Deformation ◽

Flow Behavior ◽

Tensile Tests ◽

Uniaxial Tensile ◽

Model Parameters ◽

Average Deviation ◽

Cross Sectional ◽

300M Steel

To investigate the effect of hot working parameters on the flow behavior of 300M steel under tension, hot uniaxial tensile tests were implemented under different temperatures (950 °C, 1000 °C, 1050 °C, 1100 °C, 1150 °C) and strain rates (0.01 s−1, 0.1 s−1, 1 s−1, 10 s−1). Compared with uniaxial compression, the tensile flow stress was 29.1% higher because dynamic recrystallization softening was less sufficient in the tensile stress state. The ultimate elongation of 300M steel increased with the decrease of temperature and the increase of strain rate. To eliminate the influence of sample necking on stress-strain relationship, both the stress and the strain were calibrated using the cross-sectional area of the neck zone. A constitutive model for tensile deformation was established based on the modified Arrhenius model, in which the model parameters (n, α, Q, ln(A)) were described as a function of strain. The average deviation was 6.81 MPa (6.23%), showing good accuracy of the constitutive model.

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Constitutive Modeling for Elevated Temperature Flow Behavior of ZHMn34-2-2-1 Manganese Brass

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.872.30 ◽

2017 ◽

Vol 872 ◽

pp. 30-37

Author(s):

Meng Han Wang ◽

Kang Wei ◽

Xiao Juan Li

Keyword(s):

Constitutive Model ◽

Strain Rate ◽

Flow Behavior ◽

Peak Stress ◽

Strain Rates ◽

Hollomon Parameter ◽

Prediction Ability ◽

Absolute Relative Error ◽

Deformation Behaviors ◽

State Stress

The hot compressive deformation behaviors of ZHMn34-2-2-1 manganese brass are investigated on Thermecmastor-Z thermal simulator over wide processing domain of temperatures (923K-1073K) and strain rates (0.01s-1-10s-1). The true stress-strain curves exhibit a single peak stress, after which the stress monotonously decreases until a steady state stress occurs, indicating a typical dynamic recrystallization. A revised constitutive model coupling flow stress with strain, strain rate and deformation temperature is established with the material constants expressed by polynomial fitting of strain. Moreover, better prediction ability of the constitutive model is achieved by implementation of a simple approach for modified the Zener-Hollomon parameter considering the compensation of strain rate and temperature increment. By comparing the predicted and experimented values, the correlation coefficient and mean absolute relative error are 0.997 and 2.363%, respectively. The quantitative statistical results indicate that the proposed constitutive model can precisely characterize the hot deformation behavior of ZHMn34-2-2-1 manganese brass.

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CONTINUOUS ON RAYS SOLUTIONS OF A GOŁA̧B–SCHINZEL TYPE EQUATION

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972714001075 ◽

2014 ◽

Vol 91 (2) ◽

pp. 273-277 ◽

Cited By ~ 2

Author(s):

JACEK CHUDZIAK

Keyword(s):

Linear Space ◽

Type Equation ◽

Composite Equation ◽

Continuity On Rays ◽

Image Position

AbstractWe show that if the pair $(f,g)$ of functions mapping a linear space $X$ over the field $\mathbb{K}=\mathbb{R}\text{ or }\mathbb{C}$ into $\mathbb{K}$ satisfies the composite equation $$\begin{eqnarray}f(x+g(x)y)=f(x)f(y)\quad \text{for }x,y\in X\end{eqnarray}$$ and $f$ is nonconstant, then the continuity on rays of $f$ implies the same property for $g$. Applying this result, we determine the solutions of the equation.

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