Finite-Element Solution of the Incompressible Lubrication Problem

1969 ◽  
Vol 91 (3) ◽  
pp. 524-533 ◽  
Author(s):  
M. M. Reddi

A minimum principle for the transient incompressible Reynold’s equation, with the natural boundary conditions of prescribed pressure, as well as flow, is presented. The finite element method is introduced as the numerical counterpart of the Rayleigh-Ritz procedure. Flow computation is shown to be a natural corollary of the integral principle. Solutions of several test problems are presented.

1973 ◽  
Vol 40 (1) ◽  
pp. 204-208
Author(s):  
R. W. McLay ◽  
E. M. Buturla

An optimization problem involving the thermal deflections of two parallel circular disks is examined. Error bounds are developed for both the finite-element solution and the optimization problem. The relationship between the errors is illustrated in a single bound.


1972 ◽  
Vol 94 (2) ◽  
pp. 697-703 ◽  
Author(s):  
K. Iwata ◽  
K. Osakada ◽  
S. Fujino

An elastoplastic analysis of hydrostatic extrusion is made using the finite element method. The effect of frictional coefficient on the spread of plastic zone, the pressure-displacement curve, and the stress and the strain distributions are studied for the non-steady state in plane-strain and axisymmetric extrusions. Comparisons of results between the finite element solution and slip-line solution and between plane-strain and axisymmetric extrusions are presented. Tensile stresses on the surface of the extruded part behind the die are found to exist. It is also found that the die pressure is high near the die entry and exit and that the surface of the billet in front of the die entry tends to contract.


1972 ◽  
Vol 14 (1) ◽  
pp. 19-24 ◽  
Author(s):  
J. I. Soliman ◽  
E. A. Fakhroo

A mathematical study of the solidification of steel ingots using, for the first time, the finite element method.


Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.


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