The variational principles and application of nonlinear numerical manifoldmethod

Citation
Sm. Luo et al., The variational principles and application of nonlinear numerical manifoldmethod, APP MATH ME, 21(12), 2000, pp. 1401-1406
Citations number
5
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
21
Issue
12
Year of publication
2000
Pages
1401 - 1406
Database
ISI
SICI code
0253-4827(200012)21:12<1401:TVPAAO>2.0.ZU;2-G
Abstract
The physical-cover-oriented variational principle of nonlinear numerical ma nifold method (NNMM) for the analysis of plastical problems is put forward according to the displacement model and the characters of numerical manifol d method (NMM). The theoretical calculating formulations and the controllin g equation of NNMM are derived. As an example, the plate with a hole in the center is calculated and the results show that the solution precision and efficiency of NNMM are agreeable.