Modeling Method of Constitutive Law of Rubber Hyperelasticity Based on Finite Element Simulations

2003 ◽  
Vol 76 (1) ◽  
pp. 271-285 ◽  
Author(s):  
Li-Rong Wang ◽  
Zhen-Hua Lu
Keyword(s):  
Finite Element ◽  
Finite Element Simulations ◽  
Constitutive Law ◽  
Modeling Technique ◽  
Characteristic Analysis ◽  
Rubber Material ◽  
Element Simulation ◽  
Tension And Compression ◽  
Nonlinear Elastic ◽  
Elastic Characteristics

Abstract This paper is to present a method and procedure for modeling the constitutive law of anti-vibration rubber hyperelasticity based on finite element simulations. The hyperelasticity of rubber-like material is briefly summarized first. Then a method and procedure for determining an accurate constitutive law of rubber hyperelasticity from uniaxial tension and compression experiment data is presented and implemented. Due to nonlinear elastic properties of rubber and application limitations of various forms of constitutive law, results of finite element simulation to rubber material experiments show that different forms of constitutive law have to be adopted in different ranges of strain. The proposed procedure to obtain an appropriate constitutive law of rubber hyperelasticity of vibration isolator provides engineers with an effective modeling technique for design and analysis of anti-vibration rubber components. Finally, models of three kinds of rubber materials of a hydraulically damped rubber mount (HDM) are determined by tests and finite element simulations and applied to static and dynamic characteristic analysis of the HDM. The predicted elastic characteristics of the HDM and its major rubber components agree well with experimental data, which demonstrates the practicability and effectiveness of the presented modeling technique to modeling engineering rubber materials in dynamic systems.

Finite element simulation of the static characteristics of a vehicle rubber mount

2002 ◽  
Vol 216 (12) ◽  
pp. 965-973 ◽  
Author(s):  
L-R Wang ◽  
Z-H Lu ◽  
I Hagiwara
Keyword(s):  
Finite Element ◽  
Finite Element Simulation ◽  
Large Deformation ◽  
Vibration Isolation ◽  
Development Stage ◽  
Static Characteristic ◽  
Von Mises Stress ◽  
Element Analysis ◽  
Element Simulation ◽  
Elastic Characteristics

The static and dynamic characteristics of the rubber mounts for vibration isolation in automotive powertrains and other dynamic systems should be predicted during their design and development stage. In this paper, the static characteristic simulation of a rubber mount is performed using the finite element method. The modelling and simulation methods for a large deformation rubber spring represented by axisymmetric, quarter-symmetric and three-dimensional finite element models are investigated by using finite element analysis software PATRAN for meshing and ABAQUS and ADINA for computations. The predicted vertical static elastic characteristics of the rubber spring agree well with the experimental results. The static strain-stress analysis of the rubber part shows that the von Mises stress can be adopted as a stress measure for the rubber material. Moreover, the modelling methods for the large deformation rubber mount are investigated with numerical tests of elastic characteristics. The hybrid elements with full integration and lower-order interpolation show less distortion and are suitable for large deformation simulation computations. The research results will help engineers and researchers to perform engineering design and analysis of rubber mounts and other vibration reduction rubber components using the finite element simulation method.

Nonlinear Elastic Analysis of the Hardness Test on Rubber-Like Materials

1991 ◽  
Vol 64 (2) ◽  
pp. 202-210 ◽  
Author(s):  
W. V. Chang ◽  
S. C. Sun
Keyword(s):  
Finite Element ◽  
Linear Elasticity ◽  
Elastic Moduli ◽  
Indentation Depth ◽  
Nonlinear Effects ◽  
Hardness Test ◽  
Constitutive Law ◽  
Total Load ◽  
Depth Difference ◽  
Nonlinear Elastic

Abstract Both the Ogden-Tschoegl nonlinear elastic constitutive law and a contact algorithm in the general-purpose finite-element program AFEM have been used to examine the use of IRHD values to relate the elastic properties of elastomers. We are aware that large deformations of rubber specimens and complicated interface conditions are involved in this so-called simple test. However, from the finite-element results, we find that the linearly elastic Hertz contact solution is a reasonably accurate model. This can be attributed to several points. First, the hardness test involves mainly compression and shear deformation and the linearly elastic behavior is more closely followed in rubbers for the above two types of deformation. Second, although nonlinear effects become significant in soft rubbers and higher indentation cases, the ASTM D 1415 standard defines larger indentation depth differences for smaller IRHD values. The definition itself compensates for the nonlinear effects. Third, although the interfacial stress field changed due to different frictional conditions, we calculated the IRHD values only from indentation depth difference and total load applied to the steel ball. Both the indentation depth difference and the total load are obtained from far-field conditions and do not change significantly. We should note that using linear elasticity to correlate the elastic moduli and IRHD values is simply a special case in rubber elasticity. We conveniently get rubber's elastic moduli from IRHD values based on linear elasticity, but the complete rubber-like material behavior has to be obtained from more general experiments and described by a nonlinear constitutive law such as the Ogden-Tschoegl model.

Finite Element Simulation on Tire Rubber Extrusion Process

2013 ◽  
Vol 683 ◽  
pp. 548-551 ◽  
Author(s):  
Jian Wu ◽  
Qiang Liu ◽  
You Shan Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Constitutive Model ◽  
Process Parameters ◽  
Element Model ◽  
Extrusion Process ◽  
Rubber Material ◽  
Element Simulation ◽  
Rubber Part

Tires are a key part of the vehicle, mainly constituted by rubber materials. Extrusion is one of the important processes of rubber part, which is critical to the quality of the tire. Therefore, it is necessary to study the extrusion process of rubber material. In this paper, a finite element model of the rubber extrusion process was developed by using the Euler-Lagrange coupling method based on the research on rubber constitutive model. Results indicated that: extrusion expansion phenomenon existed in rubber extrusion process, which was consistent with the reality; rubber extrusion process parameters can be optimized by finite element method, and the quality of tire was also improved.

Finite Element Simulation of Minimum Cutting Thickness in Micro-Cutting

2016 ◽  
Vol 861 ◽  
pp. 50-55 ◽  
Author(s):  
Pu Zhang ◽  
Hong Tao Zhu ◽  
Chuan Zhen Huang ◽  
Hong Liang Tang ◽  
Yang Yao ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Simulation ◽  
Feed Rate ◽  
Finite Element Simulations ◽  
Cutting Edge ◽  
Workpiece Material ◽  
Micro Cutting ◽  
Cutting Edge Radius ◽  
Element Simulation ◽  
Order Of Magnitude

The cutting edge radius and cutting thickness as well as feed rate are in the same order of magnitude in micro-cutting. So it will appear a situation that the chip cannot be formed when the cutting thickness is less than a certain value which is the minimum cutting thickness. It is possible to find a method that can determine the minimum cutting thickness in the finite element simulation of micro-cutting according. In this paper, a series of finite element simulations of different workpiece materials in micro-cutting are carried out and several different minimum cutting thicknesses are obtained. It is shown that the minimum cutting thickness is related to the workpiece material in micro-cutting. When the workpiece materials are different, the minimum cutting thicknesses obtained are also different in micro-cutting.

scholarly journals Influence of boundary conditions on strain field analysis for polycrystalline finite element simulations

2009 ◽  
pp. 333-351
Author(s):  
Eva Héripré ◽  
Jérôme Crépin ◽  
Arjen Roos ◽  
Jean-Louis Chaboche
Keyword(s):  
Finite Element ◽  
Grain Morphology ◽  
Volume Element ◽  
Finite Element Simulations ◽  
Constitutive Law ◽  
Field Analysis ◽  
Simple Extension ◽  
Sufficient Information ◽  
Strain Fields ◽  
Surface Data

This paper presents a first validation of a novel methodology for identifying the parameters of a crystallographic elastoplastic constitutive law. This is accomplished by comparing simulation and experimental results at different length scales: the microstructure scale and the representative volume element scale. Experimentally, the microscopic strain fields and the microstrucural characteristics can be obtained only at the surface of the specimen. As a consequence, in finite element simulations only at the surface there is a oneto- one correspondence between the mesh and the experimental observed grain morphology. In this paper, the morphology of the subsurface grains is obtained by a simple extension in the thickness direction of the surface morphology. The aim of this study is then to verify whether the surface data contain sufficient information for the identification of the parameters of the constitutive law.

Spherical Indentation and Flow Property Measurement-Finite Element Simulation

2000 ◽  
Vol 649 ◽  
Author(s):  
Ming Y. He ◽  
G. R. Odette ◽  
G. E. Lucas
Keyword(s):  
Finite Element ◽  
Finite Element Simulation ◽  
Flow Property ◽  
Finite Element Simulations ◽  
Spherical Indentation ◽  
Indentation Method ◽  
Ball Indentation ◽  
Element Simulation ◽  
Indentation Tests ◽  
Property Measurement

ABSTRACTFinite element simulations of ball indentation tests were performed and analyzed using the automated ball indentation method. The accuracy and reliability of this methods were assessed.

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