Using the Finite Element Method to Determine Temperature Distributions in Orthogonal Machining

1974 ◽  
Vol 188 (1) ◽  
pp. 627-638 ◽  
Author(s):  
A. O. Tay ◽  
M. G. Stevenson ◽  
G. De Vahl Davis

Temperature distributions for typical cases of orthogonal machining with a continuous chip were obtained numerically by solving the steady two-dimensional energy equation using the finite element method. The distribution of heat sources in both the primary and secondary zones was calculated from the strain-rate and flow stress distributions. Strain, strain-rate and velocity distributions were calculated from deformed grid patterns obtained from quick-stop experiments. Flow stress was considered as a function of strain, strain-rate and temperature. The chip, workpiece and tool (actual shape and size) were treated as one system and material properties such as density, specific heat and thermal conductivity were considered as functions of temperature.

1971 ◽  
Vol 93 (2) ◽  
pp. 445-454 ◽  
Author(s):  
C. H. Lee ◽  
Shiro Kobayashi

Detailed studies of the deformation characteristics in axisymmetric upsetting and plane-strain side-pressing were attempted by the finite element method. Solutions were obtained up to a 33 percent reduction in height in axisymmetric upsetting and up to a 19 percent reduction in height in side-pressing, under conditions of complete sticking at the tool-workpiece interface. Load-displacement curves, plastic zone development, and strain and stress distributions were presented, and some of the computed solutions were compared with those found experimentally.


1977 ◽  
Vol 191 (1) ◽  
pp. 169-176 ◽  
Author(s):  
R. J. Ashworth ◽  
M. El-Sherbiny ◽  
T. P. Newcomb

This paper presents calculated results of transient temperature distributions and the resulting drum distortions when band contact occurs between the rubbing surfaces during operation of a brake. The finite element method is used to compute the thermal distortion in drums when incomplete contact arising from previous distortion, manufacturing tolerances or shoe misalignment occurs. The results are compared with those obtained when there is complete contact between lining and drum. Both single and repeated brake applications made at regular intervals with convective cooling are considered.


1976 ◽  
Vol 55 (6) ◽  
pp. 1004-1011 ◽  
Author(s):  
A.L. Yettram ◽  
K.W.J. Wright ◽  
H.M. Pickard

Stress distributions are Presented for a normal and a restored mandibular second premolar under masticatory-type forces. These were obtained using the finite element method of stress analysis aPPlied to two-dimensional models. The effect of the relative stiffness of the materials is examined in each instance.


1983 ◽  
Vol 105 (3) ◽  
pp. 149-154 ◽  
Author(s):  
M. G. Stevenson ◽  
P. K. Wright ◽  
J. G. Chow

The finite element program developed in previous work [1] for calculating the temperature distributions in the chip and tool in metal machining has been extended in its range of application. Specifically, the program no longer needs a flow field as input and it can accommodate a wide range of shear angle and contact lengths. An important feature of this paper is that temperature fields from the finite element method have been compared with temperatures obtained with a previously described metallographic method [7]. This is the first time these two techniques have been used for the same machining conditions and the comparisons are very good.


2006 ◽  
Vol 306-308 ◽  
pp. 965-970
Author(s):  
Hyoung Seop Kim

Equal channel angular pressing (ECAP) is a convenient forming procedure among various severe plastic deformation processes. It is based on extruding material through specially designed entry and exit channel dies to produce an ultrafine grained microstructure. The properties of the materials obtained depend on the plastic deformation behaviour during ECAP, which is governed mainly by the die geometry, the material itself and the processing conditions. As the mechanical properties of the severely deformed material are directly related to the deformation history, understanding the phenomena associated with strain and strain rate development in the ECAP process is very important. In this study, the results of continuum modelling of ECAP are described in order to understand strain and strain developments. For this purpose, the results of modelling ECAP using the finite element method and analytical solution are presented for various geometric conditions. It was concluded that although deformation is nonuniform due to geometric effects, the strain and strain rate values obtained by the analytical solutions are not much different from the average results of the finite element method.


1973 ◽  
Vol 15 (4) ◽  
pp. 311-320 ◽  
Author(s):  
A. K. Tieu

From the Glansdorff–Prigogine local potential in non-equilibrium thermodynamics (1)† (2), a variational principle for a thin film incompressible flow with viscous dissipation is formulated as the basis of a finite-element method, which is applied to solve the energy equation. Temperature distributions in tapered land and parallel oil films for infinitely wide bearings are obtained by digital computer. The application of the finite-element method in a three-dimensional oil film with side leakage is also discussed.


Author(s):  
Wasim M.K. Helal ◽  
Dong Yan Shi

The main purpose of the present work is to determine the optimum gradation direction of an endodontic prefabricated parallel post (EPPP) made of functionally graded material (FGM). To determine the optimum gradation direction of an EPPP made of FGM, the finite element method (FEM) is used. After that, the optimization technique was adopted in order to determine the optimum material gradient for the functionally graded endodontic prefabricated parallel post (FGEPPP). Simulation results indicated that, the optimum gradation direction for the FGEPPP is from up to down, and can be described by using a modified sigmoid function. The effect of varying of the material gradient indexes on the performance of the (FGEPPP) is investigated. Also, stress distributions in all of FGEPPP cases and in homogeneous EPPP case are investigated. The current investigation shows that, the use of the FGM improves the performance of an EPPP.


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