Return Mapping Algorithms and Stress Predictors for Failure Analysis in Geomechanics
Publication: Journal of Engineering Mechanics
Volume 135, Issue 4
Abstract
Two well-known return mapping algorithms, the closest point projection method (CPPM) and the cutting plane algorithm (CPA), have been analyzed in detail in relation to two classical failure problems in geomechanics, namely, bearing capacity and slope stability. The stability and efficiency of the algorithms have been investigated in relation to two types of stiffness operators, namely, the consistent elastoplastic modulus and the continuum elastoplastic modulus, and two types of stresses prediction strategies, namely, path independent (based on stresses at previous step) and path dependent (based on stresses at the previous iteration). The numerical experiments show that CPPM working with a consistent elastoplastic modulus and a path independent strategy gives the best performance. It was also observed, however, that the CPA with a continuum elastoplastic modulus and path dependent strategy was quite stable and efficient. This latter observation has implications for advanced constitutive modeling since CPA with a continuum elastoplastic modulus avoids the need for evaluation of the second derivatives of the plastic potential function, making it easier to deal with complicated yield surfaces.
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Acknowledgments
The writers gratefully acknowledge the support of the National Science Foundation’s Grant No. CMS-0408150.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 4 • April 2009
Pages: 276 - 284
Copyright
© 2009 ASCE.
History
Received: May 29, 2007
Accepted: Oct 6, 2008
Published online: Apr 1, 2009
Published in print: Apr 2009
Notes
Note. Associate Editor: Arif Masud
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