Year: 2012
Author: Kefu Huang, Houguo Li
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 3 : pp. 382–388
Abstract
Based on the theory of Lie group analysis, the full plastic torsion of rod with arbitrary shaped cross sections that consists in the equilibrium equation and the non-linear Saint Venant-Mises yield criterion is studied. Full symmetry group admitted by the equilibrium equation and the yield criterion is a finitely generated Lie group with ten parameters. Several subgroups of the full symmetry group are used to generate invariants and group invariant solutions. Moreover, physical explanations of each group invariant solution are discussed by all appropriate transformations. The methodology and solution techniques used belong to the analytical realm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.10-m1201
Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 3 : pp. 382–388
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Lie group analysis group invariant solution full plastic torsion yield criterion.
Author Details
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Group Invariant Solutions of the Two-Dimensional Elastodynamics Problem in the Polar Coordinate System
Li, Hou-Guo
Huang, Ke-Fu
Chinese Physics Letters, Vol. 29 (2012), Iss. 8 P.084601
https://doi.org/10.1088/0256-307X/29/8/084601 [Citations: 0]