Shakedown analysis using the <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>-adaptive finite element method and linear programming: Fid-Bau Portal

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Shakedown analysis using the $p$ -adaptive finite element method and linear programming

Ngo, N.S. / Tin-Loi, F.

AbstractIn this paper, we investigate the use of an adaptive $p$ -version of the finite element method to perform shakedown analyses of 2D plane strain problems within the static approach. Moreover, efficient piecewise linearizations of the yield surfaces are carried out in a semi-adaptive fashion so that we need to solve the more tractable linear, rather than nonlinear, programming problems. State-of-the-art linear programming solvers, based on the very efficient interior point methodology, are used for solving the optimization problems. Various numerical examples are provided to compare the efficiency of the proposed approach with those of uniform and nonuniform $p$ -mesh models and nonlinear programming.

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Shakedown analysis using the $p$ -adaptive finite element method and linear programming

Ngo, N.S. / Tin-Loi, F.

AbstractIn this paper, we investigate the use of an adaptive $p$ -version of the finite element method to perform shakedown analyses of 2D plane strain problems within the static approach. Moreover, efficient piecewise linearizations of the yield surfaces are carried out in a semi-adaptive fashion so that we need to solve the more tractable linear, rather than nonlinear, programming problems. State-of-the-art linear programming solvers, based on the very efficient interior point methodology, are used for solving the optimization problems. Various numerical examples are provided to compare the efficiency of the proposed approach with those of uniform and nonuniform $p$ -mesh models and nonlinear programming.

Shakedown analysis using the $p$ -adaptive finite element method and linear programming

Ngo, N.S. / Tin-Loi, F.

AbstractIn this paper, we investigate the use of an adaptive $p$ -version of the finite element method to perform shakedown analyses of 2D plane strain problems within the static approach. Moreover, efficient piecewise linearizations of the yield surfaces are carried out in a semi-adaptive fashion so that we need to solve the more tractable linear, rather than nonlinear, programming problems. State-of-the-art linear programming solvers, based on the very efficient interior point methodology, are used for solving the optimization problems. Various numerical examples are provided to compare the efficiency of the proposed approach with those of uniform and nonuniform $p$ -mesh models and nonlinear programming.

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Title:

Shakedown analysis using the $p$ -adaptive finite element method and linear programming

Contributors:

Ngo, N.S. (author) / Tin-Loi, F. (author)

Published in:

Engineering Structures ; 29 ; 46-56

Publication date:

2006-03-28

Size:

11 pages

ISSN:

DOI:

https://doi.org/10.1016/j.engstruct.2006.03.033

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Shakedown analysis , Limit analysis , Adaptive <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math>-elements , Plasticity , Linear programming

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