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Title: A robust return-map algorithm for general multisurface plasticity

Abstract

Three new contributions to the field of multisurface plasticity are presented for general situations with an arbitrary number of nonlinear yield surfaces with hardening or softening. A method for handling linearly dependent flow directions is described. A residual that can be used in a line search is defined. An algorithm that has been implemented and comprehensively tested is discussed in detail. Examples are presented to illustrate the computational cost of various components of the algorithm. The overall result is that a single Newton-Raphson iteration of the algorithm costs between 1.5 and 2 times that of an elastic calculation. Examples also illustrate the successful convergence of the algorithm in complicated situations. For example, without using the new contributions presented here, the algorithm fails to converge for approximately 50% of the trial stresses for a common geomechanical model of sedementary rocks, while the current algorithm results in complete success. Since it involves no approximations, the algorithm is used to quantify the accuracy of an efficient, pragmatic, but approximate, algorithm used for sedimentary-rock plasticity in a commercial software package. Furthermore, the main weakness of the algorithm is identified as the difficulty of correctly choosing the set of initially active constraints in the generalmore » setting.« less

Authors:
 [1];  [1];  [2];  [1]
  1. CSIRO Energy Flagship, Queensland Centre for Advanced Technologies, Kenmore (Australia)
  2. Idaho National Lab. (INL), Idaho Falls, ID (United States)
Publication Date:
Research Org.:
Idaho National Lab. (INL), Idaho Falls, ID (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1259311
Report Number(s):
INL/JOU-15-34725
Journal ID: ISSN 0029-5981
Grant/Contract Number:  
AC07-05ID14517
Resource Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical Methods in Engineering
Additional Journal Information:
Journal Name: International Journal for Numerical Methods in Engineering; Journal ID: ISSN 0029-5981
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
15 GEOTHERMAL ENERGY; multisurface plasticity; return-map algorithm; Kuhn-Tucker conditions; geomechanics

Citation Formats

Adhikary, Deepak P., Jayasundara, Chandana T., Podgorney, Robert K., and Wilkins, Andy H. A robust return-map algorithm for general multisurface plasticity. United States: N. p., 2016. Web. https://doi.org/10.1002/nme.5284.
Adhikary, Deepak P., Jayasundara, Chandana T., Podgorney, Robert K., & Wilkins, Andy H. A robust return-map algorithm for general multisurface plasticity. United States. https://doi.org/10.1002/nme.5284
Adhikary, Deepak P., Jayasundara, Chandana T., Podgorney, Robert K., and Wilkins, Andy H. Thu . "A robust return-map algorithm for general multisurface plasticity". United States. https://doi.org/10.1002/nme.5284. https://www.osti.gov/servlets/purl/1259311.
@article{osti_1259311,
title = {A robust return-map algorithm for general multisurface plasticity},
author = {Adhikary, Deepak P. and Jayasundara, Chandana T. and Podgorney, Robert K. and Wilkins, Andy H.},
abstractNote = {Three new contributions to the field of multisurface plasticity are presented for general situations with an arbitrary number of nonlinear yield surfaces with hardening or softening. A method for handling linearly dependent flow directions is described. A residual that can be used in a line search is defined. An algorithm that has been implemented and comprehensively tested is discussed in detail. Examples are presented to illustrate the computational cost of various components of the algorithm. The overall result is that a single Newton-Raphson iteration of the algorithm costs between 1.5 and 2 times that of an elastic calculation. Examples also illustrate the successful convergence of the algorithm in complicated situations. For example, without using the new contributions presented here, the algorithm fails to converge for approximately 50% of the trial stresses for a common geomechanical model of sedementary rocks, while the current algorithm results in complete success. Since it involves no approximations, the algorithm is used to quantify the accuracy of an efficient, pragmatic, but approximate, algorithm used for sedimentary-rock plasticity in a commercial software package. Furthermore, the main weakness of the algorithm is identified as the difficulty of correctly choosing the set of initially active constraints in the general setting.},
doi = {10.1002/nme.5284},
journal = {International Journal for Numerical Methods in Engineering},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {6}
}

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    Works referencing / citing this record:

    A method for smoothing multiple yield functions
    journal, October 2019

    • Wilkins, Andy; Spencer, Benjamin W.; Jain, Amit
    • International Journal for Numerical Methods in Engineering, Vol. 121, Issue 3
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