Dynamic Finite Element Analysis of Cracked Bodies

1980 ◽  
Vol 102 (1) ◽  
pp. 2-7 ◽  
Author(s):  
J. L. Glazik

Application of the finite element method to problems involving finite cracked bodies subjected to impact loadings is discussed. Mass matrices for a particularly simple, well-established singular element have been developed and applied to the problem of a centrally cracked strip whose ends are loaded by a step tensile stress. The results agree extremely well with those obtained by using a higher order singular element. Results are also presented for this problem employing an equally coarse finite element mesh with no singular element at all, and again good agreement is demonstrated. The problems of an edge cracked strip suddenly pulled at its ends and of a cracked cylinder subjected to sudden internal pressure are also analyzed using these two approaches. The response of these examples, like the majority of cracked finite bodies, are dominated by their vibrational modes. Results indicate that for the purpose of determining the maximum amplification of the stress intensity factor due to dynamic loading, the use of a singular element is unnecessary.

1994 ◽  
Vol 116 (2) ◽  
pp. 250-254 ◽  
Author(s):  
Sung Ho Lee ◽  
Dong Nyung Lee

The electromagnetic field and dynamic deformation analyses for tube expansion by electromagnetic forming were performed by the finite element method. A realistic pressure distribution was calculated by taking into account both coil and workpiece. The calculated values of displacement along the tube axis and with time were in very good agreement with the measured ones.


Author(s):  
Reza Mehrabi ◽  
Mahmoud Salimi ◽  
Saeed Ziaei-Rad

In this paper, the chattering phenomenon in cold rolling is investigated in reference to the finite element method (FEM). The structure of the mill stand is modeled as a system of linear springs and lumped masses while the rolling process is modeled utilizing an implicit FEM. Assembling the two models makes it possible to detect the chatter during the rolling process. The assembled model is capable of perceiving variations in forces generated during the process that deflects the structure of the mill leading to variations at the roll gap and the roll speed. The influences of some rolling parameters on chatter vibration are investigated. Predicted values of the model are in good agreement with that of the experiments as well as the values obtained by other researchers.


2011 ◽  
Vol 332-334 ◽  
pp. 2116-2119
Author(s):  
Cui Yu Li ◽  
Rui Wang

The draping and buckling of woven fabric are simulated with the finite element method based on the micro-mechanical constitutive model and orthotropic constitutive model under gravity load. Compared with the traditional orthotropic mechanical model of the fabric, the micro-mechanical constitutive model characterizes the special properties of woven fabric due to its micro-weaving structures. The woven fabric sheet is discretized with 8-nodes shell elements which are designed for finite deformation and suffice to describe the large rotation of fabric sheet during draping, for the sake of simplicity, the nodes of the fabric sheet on the edges of the desk are assumed to be fixed. Compared with the experimental ones, the simulation results with the micro-mechanical constitutive model are in good agreement with the observations. The work paves the way for developing a virtual clothes trial system.


1990 ◽  
Vol 18 (4) ◽  
pp. 216-235 ◽  
Author(s):  
J. De Eskinazi ◽  
K. Ishihara ◽  
H. Volk ◽  
T. C. Warholic

Abstract The paper describes the intention of the authors to determine whether it is possible to predict relative belt edge endurance for radial passenger car tires using the finite element method. Three groups of tires with different belt edge configurations were tested on a fleet test in an attempt to validate predictions from the finite element results. A two-dimensional, axisymmetric finite element analysis was first used to determine if the results from such an analysis, with emphasis on the shear deformations between the belts, could be used to predict a relative ranking for belt edge endurance. It is shown that such an analysis can lead to erroneous conclusions. A three-dimensional analysis in which tires are modeled under free rotation and static vertical loading was performed next. This approach resulted in an improvement in the quality of the correlations. The differences in the predicted values of various stress analysis parameters for the three belt edge configurations are studied and their implication on predicting belt edge endurance is discussed.


1992 ◽  
Vol 20 (4) ◽  
pp. 230-253 ◽  
Author(s):  
T. Akasaka ◽  
K. Kabe ◽  
M. Koishi ◽  
M. Kuwashima

Abstract The deformation behavior of a tire in contact with the roadway is complicated, in particular, under the traction and braking conditions. A tread rubber block in contact with the road undergoes compression and shearing forces. These forces may cause the loss of contact at the edges of the block. Theoretical analysis based on the energy method is presented on the contact deformation of a tread rubber block subjected to compressive and shearing forces. Experimental work and numerical calculation by means of the finite element method are conducted to verify the predicted results. Good agreement is obtained among these analytical, numerical, and experimental results.


1998 ◽  
Vol 26 (2) ◽  
pp. 109-119 ◽  
Author(s):  
M. Koishi ◽  
K. Kabe ◽  
M. Shiratori

Abstract The finite element method has been used widely in tire engineering. Most tire simulations using the finite element method are static analyses, because tires are very complex nonlinear structures. Recently, transient phenomena have been studied with explicit finite element analysis codes. In this paper, the authors demonstrate the feasibility of tire cornering simulation using an explicit finite element code, PAM-SHOCK. First, we propose the cornering simulation using the explicit finite element analysis code. To demonstrate the efficiency of the proposed simulation, computed cornering forces for a 175SR14 tire are compared with experimental results from an MTS Flat-Trac Tire Test System. The computed cornering forces agree well with experimental results. After that, parametric studies are conducted by using the proposed simulation.


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