Finite Element Method in the Research on the Application of Contact Deformation

2012 ◽  
Vol 182-183 ◽  
pp. 1585-1589 ◽  
Author(s):  
Jia Jia Su ◽  
Jing Hu Chen

Wear is the matrix surface and plastic deformation as the basic factors of the phenomenon, this paper analyzed with abaqus finite element method friction deformation which stress. The results show that the stress state changes drastically with different friction coefficient and the distribution of plastic deformation regions also changes. The regions seriously damaged by friction lead to fatigue via plastic deformation, which is the main reason for material friction and then dislocation friction occurs.

Author(s):  
H Jafarzadeh ◽  
K Abrinia

The microstructure evolution during recently developed severe plastic deformation method named repetitive tube expansion and shrinking of commercially pure AA1050 aluminum tubes has been studied in this paper. The behavior of the material under repetitive tube expansion and shrinking including grain size and dislocation density was simulated using the finite element method. The continuous dynamic recrystallization of AA1050 during severe plastic deformation was considered as the main grain refinement mechanism in micromechanical constitutive model. Also, the flow stress of material in macroscopic scale is related to microstructure quantities. This is in contrast to the previous approaches in finite element method simulations of severe plastic deformation methods where the microstructure parameters such as grain size were not considered at all. The grain size and dislocation density data were obtained during the simulation of the first and second half-cycles of repetitive tube expansion and shrinking, and good agreement with experimental data was observed. The finite element method simulated grain refinement behavior is consistent with the experimentally obtained results, where the rapid decrease of the grain size occurred during the first half-cycle and slowed down from the second half-cycle onwards. Calculations indicated a uniform distribution of grain size and dislocation density along the tube length but a non-uniform distribution along the tube thickness. The distribution characteristics of grain size, dislocation density, hardness, and effective plastic strain were consistent with each other.


Author(s):  
T. R. Grimm

Abstract The importance of the finite element method as an engineering tool for design and analysis is emphasized in a senior level elective course taught at Michigan Technological University. The course emphasizes hands-on experience with computers and the pre- and post-analysis of results to establish confidence in solutions obtained. The students learn by using the finite element method to “solve” several design projects, rather than by being told about the method without significant actual experience. They also learn about the basis of the method, including formation of the matrix equations required and the numerical methods used in their solution. Intelligent use of the method requires that engineers understand both the mechanics of how to apply the method, i.e modeling requirements, and the limitations imposed by the basic solution process. The course provides the students with important experience in using the powerful finite element method as a design tool. It requires a strong background of fundamentals and stimulates the problem solving thinking skills so essential to industry.


Author(s):  
Si-zhu Zhou ◽  
Jacob Jen-Gwo Chen

Taking a multibody system of the oil field pumping unit into a multibody elastic system, this paper analyzes its kinematics and dynamics by means of finite element method, deduces the kinematics and dynamics function after doing the element’s and global analysis, and puts forward the procedures of this method, i.e., (1) dividing the system into elements; (2) calculating for the elements; (3) calculating the matrix of external force; (4) piling the element stiffness and mass matrixes up; and (5) solving the function. As an example, this paper illustrates the process of analyzing the multibody system of a PUMPING UNIT used in an oil field.


Materials ◽  
2019 ◽  
Vol 12 (18) ◽  
pp. 2909 ◽  
Author(s):  
Damian Sokołowski ◽  
Marcin Kamiński

Hysteretic behavior of random particulate composite was analyzed using the stochastic finite element method and three independent probabilistic formulations, i.e., generalized iterative stochastic perturbation technique of the tenth order, Monte-Carlo simulation, and semi-analytical method. This study was based on computational homogenization of the representative volume element (RVE), and its main focus was to demonstrate an influence of random stress in constitutive relation to the matrix on the deformation energies stored in the effective (homogenized) medium. This was done numerically for an increasing uncertainty of random matrix admissible stress with a Gaussian probability density function, for which the relations to the energies of the entire composite were approximated via the weighted least squares method algorithm. This composite was made of two phases, a hyper-elastic matrix exhibiting hysteretic behavior and a linear elastic spherical reinforcing particle located centrally in the RVE. The RVE was subjected to a cyclic stretch with an increasing amplitude, and computations of deformation energies were carried out using the finite element method system ABAQUS. A stress–strain history of the homogenized medium has been presented for the extreme and for the mean mechanical properties of the matrix to illustrate the random hysteresis of the given composite. The first four probabilistic moments and coefficients of the RVE deformation energy were determined and have been presented in addition to the input statistical scattering of the admissible stresses.


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