Electronic Resource
New York, NY [u.a.]
:
Wiley-Blackwell
Communications in Applied Numerical Methods
1 (1985), S. 219-232
ISSN:
0748-8025
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The application of the principle of virtual work in continuum mechanics is used to determine the equilibrium of a body in a compatible state of deformation. When there are constraints on the deformation then the minimization associated with the principle of virtual work has constraints imposed upon it. Constrained minimization is a much harder problem than unconstrained minimization. The penalty method effects a change from constrained to unconstrained minimization and has consequently become very useful to finite element modellers. This work examines the use of the penalty method to achieve finite element grid patterns where the same element type can be used and where significant changes in element size without associated element distortions are present. Several practical examples are presented and some theoretical aspects of the penalty method are discussed.
Additional Material:
10 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1630010507
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