Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Stability and extremum principles for post yield analysis of finite plasticity

Stability and extremum principles for post yield analysis of finite plasticity The post yield behavior of rigid-perfectly plastic solids at the collapse load is studied based on the finite deformation theory. By using the general duality theory developed by Gao-Strang (1989), a global stability criteria is proposed and a pair of dual extremum principles, expressed in terms of displacements, displacement rates and the Kirchhoff stresses are established for plastic collapse analysis. It is proved that under large deformations, the existence of the plastic limit state at the collapse load depends on the directional derivative of a so-called complementary gap function. The application to the nonlinear plastic collapse theory yields a pair of dual bounding theorems for limit loading factor associated with any transient displacement of the deformed body when the global extremum criteria are satisfied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mechanica Sinica Springer Journals

Stability and extremum principles for post yield analysis of finite plasticity

Gao, David
Acta Mechanica Sinica , Volume 10 (4) – Aug 15, 2006
Download PDF
15 pages

Loading next page...
 
/lp/springer-journals/stability-and-extremum-principles-for-post-yield-analysis-of-finite-rlXbAwKfVF

References (28)

Publisher
Springer Journals
Copyright
Copyright
Subject
Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/BF02486674
Publisher site
See Article on Publisher Site

Abstract

The post yield behavior of rigid-perfectly plastic solids at the collapse load is studied based on the finite deformation theory. By using the general duality theory developed by Gao-Strang (1989), a global stability criteria is proposed and a pair of dual extremum principles, expressed in terms of displacements, displacement rates and the Kirchhoff stresses are established for plastic collapse analysis. It is proved that under large deformations, the existence of the plastic limit state at the collapse load depends on the directional derivative of a so-called complementary gap function. The application to the nonlinear plastic collapse theory yields a pair of dual bounding theorems for limit loading factor associated with any transient displacement of the deformed body when the global extremum criteria are satisfied.

Journal

Acta Mechanica Sinica – Springer Journals

Published: Aug 15, 2006

There are no references for this article.