Development and application of hyperelastic model for diaphragm considering the influence of temperature

2019 ◽  
Vol 08 (03) ◽  
pp. 1950010
Author(s):  
Lidong Wang ◽  
Xiongqi Peng ◽  
Mingrui Liu
Keyword(s):  
Constitutive Model ◽  
Tensile Tests ◽  
Uniaxial Tensile ◽  
Model Parameters ◽  
Influence Of Temperature ◽  
Nonlinear Fitting ◽  
Element Simulation ◽  
Hyperelastic Model ◽  
User Material Subroutine ◽  
Solid Foundation

The basic mechanical properties of a diaphragm under various temperatures in hot diaphragm preforming of composites are obtained by uniaxial tensile tests. A constitutive model considering the influence of temperature is accordingly developed to characterize its large deformation behavior. Model parameters are obtained by nonlinear fitting experiment data. The constitutive model is implemented in ABAQUS through the user material subroutine UHYPER. The developed constitutive model is verified by simulating the covering deformation of the diaphragm over a C-type mold. Finally, as an application of the developed hyperelastic model, an optimal design of a support bar in the hot diaphragm preforming process is implemented. The constitutive model lays a solid foundation for the finite element simulation and process optimization of the hot diaphragm forming (HDF) of carbon composites.

scholarly journals A Flow Stress Model of 300M Steel for Isothermal Tension

Materials ◽  
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.

Elasto-viscoplastic constitutive equations for the description of glassy polymers behavior at constant strain rate

2006 ◽  
Vol 129 (1) ◽  
pp. 29-35 ◽  
Author(s):  
Fahmi Zaïri ◽  
Moussa Naït-Abdelaziz ◽  
Krzysztof Woznica ◽  
Jean-Michel Gloaguen
Keyword(s):  
Constitutive Equations ◽  
Constant Strain Rate ◽  
Tensile Tests ◽  
Glassy Polymers ◽  
Uniaxial Tensile ◽  
Model Parameters ◽  
Strain Rates ◽  
State Variable ◽  
Rubber Toughened ◽  
Compressive Tests

In this study, a modelization of the viscoplastic behavior of amorphous polymers is proposed, from an approach originally developed for metal behavior at high temperature, in which state variable constitutive equations have been modified. A procedure for the identification of model parameters is developed through the use of experimental data from both uniaxial compressive tests extracted from the literature and uniaxial tensile tests performed in this study across a variety of strain rates. The numerical algorithm shows that the predictions of this model well describe qualitatively and quantitatively the intrinsic softening immediately after yielding and the subsequent progressive orientational hardening corresponding to the response of two polymers, amorphous polyethylene terephthalate and rubber toughened polymethyl methacrylate.

FEM Simulation on Uniaxial Tension of Hyperelastic Elastomers

2014 ◽  
Vol 659 ◽  
pp. 57-62 ◽  
Author(s):  
Vlad Carlescu ◽  
Gheorghe Prisacaru ◽  
Dumitru Olaru
Keyword(s):  
Experimental Data ◽  
Uniaxial Tension ◽  
Smart Materials ◽  
Model Simulation ◽  
Fem Simulation ◽  
Tensile Tests ◽  
Material Behavior ◽  
Uniaxial Tensile ◽  
Model Parameters ◽  
Good Correspondence

Modeling large nonlinear elastic deformation of elastomers is an important issue for developing new materials. Particularly, this is very promising for design and performance analysis of dielectric elastomers (DEs). These “smart materials” are capable of responding to an external electric field by displaying significant change in shape and size. In this paper, finite element method (FEM) was used to simulate the mechanical behavior of soft elastomers on uniaxial tension. Experimental data from uniaxial tensile tests were used in order to calibrate hyperelastic constitutive models of the material behavior. The constitutive model parameters were evaluated in ABAQUS/CAE. The 3D-model simulation results of a dumbbell shaped specimen at uniaxial tension shows very good correspondence with experimental data.

Linear analysis of parameters in Arrhenius model for Ti-6Al-4V at superplastic forming

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Junzhou Yang ◽  
Jianjun Wu ◽  
Qianwen Zhang ◽  
Yinxiang Ren ◽  
Han Ruolan ◽  
...  
Keyword(s):  
Constitutive Model ◽  
Flow Behavior ◽  
Superplastic Forming ◽  
Tensile Tests ◽  
Model Parameters ◽  
Content Type ◽  
Forming Mechanism ◽  
Good Ability ◽  
Titanium Material ◽  
High Temperature Tensile

Purpose With the discussion on the linear relationship of determined material parameters, this study aims to propose a new method to analyze the deformation mechanism. Design/methodology/approach A modified constitutive model based on the hyperbolic sine Arrhenius equation has been established, which is applied to describe the flow behavior of Ti-6Al-4V alloy during the superplastic forming (SPF). Findings The modified constitutive model in this work has a good ability to describe the flow behavior for Ti-6Al-4V in SPF. Besides, a deformation map of titanium material is obtained based on the parameters. As the supplement, finite element models of high-temperature tensile tests are carried out as the application of the constitutive model. Originality/value The relationship between constitutive model parameters and forming mechanism is established, which is a new angle in rheological behavior research and constitutive model analysis.

Constitutive Modeling of the Rate-Dependent Behavior of Ti-6Al-4V Using an Arrhenius-Type Law

2012 ◽  
Vol 591-593 ◽  
pp. 949-954
Author(s):  
Jun Jie Xiao ◽  
Dong Sheng Li ◽  
Xiao Qiang Li ◽  
Chao Hai Jin ◽  
Chao Zhang
Keyword(s):  
Flow Stress ◽  
Strain Rate ◽  
Tensile Tests ◽  
Alloy Sheet ◽  
Uniaxial Tensile ◽  
Thin Wall ◽  
Rate Dependent ◽  
Hot Environment ◽  
Dependent Behavior ◽  
Element Simulation

Uniaxial tensile tests were performed on a Ti-6Al-4V alloy sheet over the temperature range of 923K-1023K with the strain rates of 5×10-4s-1-5×10-2s-1 up to a 25% length elongation of the specimen. The true stress-strain curves reveal that the flow stress decreases with the increase of the temperature and the decrease of the strain rate. In the same process, the accompanying softening role increases. It is found that the Ti-6Al-4V shows the features of non-linearity, temperature sensitivity and strain rate dependence in hot environment. Finally, an Arrhenius-type law has been established to predict the experimental data and the prediction precision was verified by the plotting of parameter and flow stress, which revealed that the error of stress exponent was only 4.99%. This indicates the flow stress model has high precision and can be used for the process design and the finite element simulation of hot forming thin-wall Ti-6Al-4V alloy components.

On the Extraction of Elastic–Plastic Constitutive Properties From Three-Dimensional Deformation Measurements

2015 ◽  
Vol 82 (7) ◽  
Author(s):  
A. J. Gross ◽  
K. Ravi-Chandar
Keyword(s):  
Constitutive Model ◽  
Tensile Test ◽  
Three Dimensional ◽  
Image Correlation ◽  
Uniaxial Tensile ◽  
Model Parameters ◽  
Material Models ◽  
Elastic Plastic ◽  
Constitutive Properties ◽  
Deformation Measurements

In this article, a coupled experimental and numerical method is utilized for characterizing the elastic–plastic constitutive properties of ductile materials. Three-dimensional digital image correlation (DIC) is used to measure the full field deformation on two mutually orthogonal surfaces of a uniaxial tensile test specimen. The material’s constitutive model, whose parameters are unknown a priori, is determined through an optimization process that compares these experimental measurements with finite element simulations in which the constitutive model is implemented. The optimization procedure utilizes the robust dataset of locally observed deformation measurements from DIC in addition to the standard measurements of boundary load and displacement data. When the difference between the experiment and simulations is reduced sufficiently, a set of parameters is found for the material model that is suitable to large strain levels. This method of material characterization is applied to a tensile specimen fabricated from a sheet of 15-5 PH stainless steel. This method proves to be a powerful tool for calibration of material models. The final parameters produce a simulation that tracks the local experimental displacement field to within a couple percent of error. Simultaneously, the percent error in the simulation for the load carried by the specimen throughout the test is less than 1%. Additionally, half of the parameters for Hill’s yield criterion, describing anisotropy of the normal stresses, are found from a single tensile test. This method will find even greater utility in calibrating more complex material models by greatly reducing the experimental effort required to identify the appropriate model parameters.

scholarly journals Comparative behavior of local hyperelastic lowgrade rubbers for low-cost base isolation

2019 ◽  
Vol 276 ◽  
pp. 01001
Author(s):  
Tavio ◽  
Usman Wijaya
Keyword(s):  
Base Isolation ◽  
Low Cost ◽  
Tensile Tests ◽  
Uniaxial Tensile ◽  
Low Grade ◽  
Test Results ◽  
Laboratory Test Results ◽  
Planar Shear ◽  
Yeoh Model ◽  
Hyperelastic Model

As the second largest rubber producer in the world, Indonesia has a very potential opportunity to support the development of rubber base isolation. Various grades of rubber are produced by the local rubber manufacturers starting from the low to high grade rubbers. In the study, the local rubbers were also compared to the rubbers from another developing country, e.g. India. The laboratory test results used to develop the suitable constitutive model for hyperelastic material and then compared to the hyperelastic model of Shahzad et al. Several tests on the local low-grade rubbers have been conducted, namely the uniaxial tensile, planar shear, and equibiaxial tensile tests. From the tests, it can be concluded the behavior of the local low-grade rubber can be fitted with the Ogden model different from the characteristic of rubber tested by Shahzad et al. which was fitted with the Yeoh model.

Effects of Temperature on Deep Drawing of Sheet Metals

1983 ◽  
Vol 105 (2) ◽  
pp. 119-127 ◽  
Author(s):  
J. O. Kumpulainen ◽  
A. J. Ranta-Eskola ◽  
R. H. O. Rintamaa
Keyword(s):  
Deep Drawing ◽  
Tensile Tests ◽  
Uniaxial Tensile ◽  
Drawing Ratio ◽  
Aisi 304 ◽  
Influence Of Temperature ◽  
Influence Of Temperature On ◽  
Strip Drawing ◽  
Effects Of Temperature ◽  
Bending Under Tension

The influence of temperature on the flow stress and the uniform strain of steel, brass, aluminium and AISI 304 and 316 type stainless steels is determined by using uniaxial tensile tests. Sliding and stretching friction coefficients at several surface temperatures are measured for various sheets and lubricants using a bending under tension type strip drawing test. The validity of the results is verified by deep drawing experiments. The influence of temperature difference between the punch nose region and the flange on the drawing and fracture loads and on the limiting drawing ratio is determined.

Hyperelastic characterization of synthetic mesh for abdominal wall hernia repair

MRS Advances ◽  
2019 ◽  
Vol 4 (57-58) ◽  
pp. 3181-3185
Author(s):  
Javier Ortiz Ortiz ◽  
Georgina Carbajal de la Torre ◽  
Miguel Villagómez Galindo ◽  
Marco Antonio Espinosa Medina ◽  
Hilda Aguilar Rodriguez
Keyword(s):  
Hernia Repair ◽  
Abdominal Wall ◽  
Abdominal Wall Hernia ◽  
Tensile Tests ◽  
Synthetic Mesh ◽  
Uniaxial Tensile ◽  
Marquardt Algorithm ◽  
Hyperelastic Model ◽  
Abdominal Wall Hernia Repair

ABSTRACTHernia is defined as the protrusion of one or several internal organs through an opening in the cavity that contains them due to a tissue defect, abdominal wall surgery by means of synthetic meshes is the most common method used for hernia repair, however, postsurgical effects can range from some discomfort, to chronic pain and even the reappearance of the hernia due to a poor mechanical adaptability between the synthetic tissue and the host tissue. The knowledge of the mechanical properties of the materials involved in hernia repair is fundamental in the understanding and subsequent solution of this type of problems. In this work, experimental data were obtained by means of uniaxial tensile tests in two perpendicular directions of commercial meshes used in hernia repair. The tests were carried out on the UniVert® machine of the CellScale® brand. Anisotropic mechanical behavior is observed due to the structure of the mesh and the interaction between each of the yarns that make it up. The data found vary with respect to the direction of traction and also has non-linear hyperelastic behavior, so the adjustment of curves was made through a hyperelastic model in the COMSOL Multiphysics® software through the Levenberg-Marquardt Algorithm for the characterization of these materials.

Directional, Regional, and Layer Variations of Mechanical Properties of Esophageal Tissue and its Interpretation Using a Structure-Based Constitutive Model

2005 ◽  
Vol 128 (3) ◽  
pp. 409-418 ◽  
Author(s):  
W. Yang ◽  
T. C. Fung ◽  
K. S. Chian ◽  
C. K. Chong
Keyword(s):  
Mechanical Properties ◽  
Constitutive Model ◽  
Mechanical Behavior ◽  
Soft Tissues ◽  
Tensile Tests ◽  
Uniaxial Tensile ◽  
Material Parameters ◽  
Esophageal Tissue ◽  
Anisotropic Mechanical Properties ◽  
Mucosal Layer

The esophagus, like other soft tissues, exhibits nonlinear and anisotropic mechanical properties. As a composite structure, the properties of the outer muscle and inner mucosal layer are different. It is expected that the complex mechanical properties will induce nonhomogeneous stress distributions in the wall and nonuniform tissue remodeling. Both are important factors which influence the function of mechanosensitive receptor located in various layers of the wall. Hence, the characterization of the mechanical properties is essential to understand the neuromuscular motion of the esophagus. In this study, the uniaxial tensile tests were conducted along two mutually orthogonal directions of porcine esophageal tissue to identify the directional (circumferential and axial), regional (abdominal, thoracic, and cervical), and layer (muscle and mucosa) variations of the mechanical properties. A structure-based constitutive model, which took the architectures of the tissue’s microstructures into account, was applied to describe the mechanical behavior of the esophagus. Results showed that the constitutive model successfully described the mechanical behavior and provided robust estimates of the material parameters. In conclusion, the model was demonstrated to be a good descriptor of the mechanical properties of the esophagus and it was able to facilitate the directional, layer, and regional comparisons of the mechanical properties in terms of the associated material parameters.

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