scholarly journals A One-dimensional Ubiquitiformal Constitutive Model for a Bi-material Rod

2016 ◽  
Vol 67 ◽  
pp. 03050
Author(s):  
Min Yang ◽  
Zhuo-cheng Ou ◽  
Zhuo-ping Duan ◽  
Feng-lei Huang
Keyword(s):  
Constitutive Model ◽  
One Dimensional

Modeling of Shear Rheological Behavior of Uncured Rubber Melt

2020 ◽  
Vol 30 (1) ◽  
pp. 130-137
Author(s):  
Hengxiao Yang ◽  
Qimian Mo ◽  
Hengyu Lu ◽  
Shixun Zhang ◽  
Wei Cao ◽  
...  
Keyword(s):  
Shear Rate ◽  
Constitutive Model ◽  
Incompressible Fluid ◽  
Rheological Behavior ◽  
Rheological Characteristics ◽  
One Dimensional ◽  
Ptt Model ◽  
Rate Region ◽  
Proposed Model ◽  
Rheological Experiments

AbstractTo describe uncured rubber melt flow, a modified Phan–Thien–Tanner (PTT) model was proposed to characterize the rheological behavior and a viscoelastic one-dimensional flow theory was established in terms of incompressible fluid. The corresponding numerical method was constructed to determine the solution. Rotational rheological experiments were conducted to validate the proposed model. The influence of the parameters in the constitutive model was investigated by comparing the calculated and experimental viscosity to determine the most suitable parameters. The uncured rubber viscosity was 3–4 orders larger than that of plastic and did not have a visible Newtonian region. Compared with the Cross-Williams-Landel-Ferry (Cross-WLF) and original PTT models, the modified PTT model can describe the rheological characteristics in the entire shear-rate region if the parameters are set correctly.

scholarly journals An analytical model for crack monitoring of the shape memory alloy intelligent concrete

2019 ◽  
Vol 31 (1) ◽  
pp. 100-116 ◽  
Author(s):  
Bingfei Liu ◽  
Qingfei Wang ◽  
Kai Yin ◽  
Liwen Wang
Keyword(s):  
Shape Memory Alloy ◽  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Three Dimensional ◽  
Three Dimensional Model ◽  
One Dimensional ◽  
Monitoring Model ◽  
Crack Monitoring ◽  
The One

A theoretical model for the crack monitoring of the shape memory alloy intelligent concrete is presented in this work. The mechanical properties of shape memory alloy materials are first given by the experimental test. The one-dimensional constitutive model of the shape memory alloys is reviewed by degenerating from a three-dimensional model, and the behaviors of the shape memory alloys under different working conditions are then discussed. By combining the electrical resistivity model and the one-dimensional shape memory alloy constitutive model, the crack monitoring model of the shape memory alloy intelligent concrete is given, and the relationships between the crack width of the concrete and the electrical resistance variation of the shape memory alloy materials for different crack monitoring processes of shape memory alloy intelligent concrete are finally presented. The numerical results of the present model are compared with the published experimental data to verify the correctness of the model.

Constitutive Model of Shape Memory Alloys: One-Dimensional Phase Transformation Model

2008 ◽  
Vol 56 ◽  
pp. 84-91
Author(s):  
Tadashige Ikeda
Keyword(s):  
Phase Transformation ◽  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Strain Rate ◽  
Shape Memory ◽  
Strain Rate Effect ◽  
Rate Effect ◽  
Reverse Transformation ◽  
Stress Strain ◽  
One Dimensional

A simple yet accurate macroscopic constitutive model of shape memory alloys has been developed. The features of this model are (1) energy-based phase transformation criterion, (2) one-dimensional phase transformation rule based on a micromechanical viewpoint, (3) dissipated energy with a form of a sum of two exponential functions, (4) duplication of the strain rate effect, and (5) adaptability to multi-phase transformation. This model is further improved to be able to express stress-strain relationships such that the reverse transformation starts at a higher stress than the martensitic transformation starts. Here, the ideal reversible transformation temperature is empirically described by a function of the martensite volume fraction. In this paper, an outline of our model is given, where the improvement is introduced. Then, it is shown that the model can quantitatively duplicate the major and minor hysteresis loops, strain rate effect, and asymmetry in tension and compression on the stress-strain relationship. And that it can also duplicate the stress-strain relationships having the reverse transformation start stress higher than the forward one.

Elasto-Viscoplastic Constitutive Equations for Clay and Its Application to Consolidation Analysis

1990 ◽  
Vol 112 (2) ◽  
pp. 202-209 ◽  
Author(s):  
T. Adachi ◽  
F. Oka ◽  
M. Mimura
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Constitutive Model ◽  
Mathematical Structure ◽  
Creep Rupture ◽  
Sample Thickness ◽  
The Finite Element Method ◽  
One Dimensional ◽  
Consolidation Analysis ◽  
Biot’S Consolidation

The mathematical structure of Adachi and Oka’s model, a typical overstress type elasto-viscoplastic constitutive model, for normally consolidated clays is discussed. Since it has been recognized that the overstress type models cannot describe the acceleration creep and creep rupture, the Adachi and Oka’s model was modified so that it can explain the creep rupture including acceleration creep of normally consolidated clays. In addition, based on the Adachi and Oka’s constitutive model and Biot’s consolidation theory, one-dimensional consolidation problems were analyzed numerically by the finite element method. Results show that the proposed method can describe the effect of sample thickness and aging on consolidation phenomena.

One-Dimensional Macroscopic Constitutive Model for Ratcheting of Superelastic Shape Memory Alloys

2019 ◽  
Vol 145 (3) ◽  
pp. 04019007
Author(s):  
Xiangjun Jiang ◽  
Jingli Du ◽  
Yesen Fan ◽  
Jin Huang ◽  
Fengqun Pan
Keyword(s):  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
One Dimensional

An Improved Two-Dimensional Constitutive Law for Shape Memory Alloys

2009 ◽  
Vol 410-411 ◽  
pp. 429-437 ◽  
Author(s):  
Wei Wang ◽  
Shi Yan ◽  
Gang Bing Song ◽  
Li Jiao
Keyword(s):  
Constitutive Model ◽  
Shape Memory Alloys ◽  
Shape Memory ◽  
Constitutive Law ◽  
Two Dimensional ◽  
Mechanical Behaviors ◽  
Dissipation Energy ◽  
One Dimensional ◽  
Accurate Expression ◽  
Improved Model

An improved two-dimensional constitutive model for shape memory alloys (SMAs), which can describe both the shape memory effect (SME) and super elasticity effect (SE) of the SMAs, is developed in the paper based on the previous work of Boyd and Lagoudas, who used the thermodynamics theories of free energy and dissipation energy to derive the constitutive law of the SMAs. The improved model, which will combine the ideas of Brinsion’s one-dimensional constitutive law and the concepts of Boyd and Lagoudas’ two-dimensional one, has a simple but accurate expression. Two examples are used to numerically validate the efficiency of the improved model and the results of the simulations show that the developed constitutive model can qualitatively describe the thermo-mechanical behaviors of two-dimensional SMAs.

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