Effective computer realization of the finite-element method applied to plane problems of the theory of elasticity for bodies with piecewise variable thickness

1980 ◽  
Vol 12 (6) ◽  
pp. 794-800
Author(s):  
A. S. Tsybenko ◽  
N. G. Vashchenko ◽  
N. G. Krishchuk
1968 ◽  
Vol 35 (2) ◽  
pp. 274-278 ◽  
Author(s):  
M. W. Johnson ◽  
R. W. McLay

The foundations of the theory of the finite element method as it applies to linear elasticity are investigated. A particular boundary-value problem in plane stress is considered and the variational principle for the finite element method is shown to be equivalent to it. Mean and uniform convergence of the finite element solution to that of the boundary-value problem is demonstrated with careful consideration given to the stress singularities. A counterexample is presented in which a set of functions, admissible to the variational principle, is shown not to converge.


1994 ◽  
Vol 116 (2) ◽  
pp. 260-262 ◽  
Author(s):  
Z. M. Bzymek ◽  
G. Song ◽  
T. D. Howes ◽  
R. E. Garrett

In this paper, various Cubic Boron Nitride (CBN) grinding wheels designed to suppress chatter are statically and dynamically analyzed and compared by means of the Finite Element Method (FEM). As a result of these analyses, a flexible wheel with a variable thickness hub is proposed. Theoretically, the new wheel should suppress chatter and thus be a major step forward in grinding wheel design.


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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