# A Bermúdez–Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes

P. Barral; P. Quintela; M. T. Sánchez

- Volume: 48, Issue: 1, page 87-106
- ISSN: 0764-583X

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topBarral, P., Quintela, P., and Sánchez, M. T.. "A Bermúdez–Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 48.1 (2014): 87-106. <http://eudml.org/doc/273349>.

@article{Barral2014,

abstract = {The aim of this work is to present a computationally efficient algorithm to simulate the deformations suffered by a viscoplastic body in a solidification process. This type of problems involves a nonlinearity due to the considered thermo-elastic-viscoplastic law. In our previous papers, this difficulty has been solved by means of a duality method, known as Bermúdez–Moreno algorithm, involving a multiplier which was computed with a fixed point algorithm or a Newton method. In this paper, we will improve the former algorithms by means of a generalized duality method with variable parameters and we will present numerical results showing the applicability of the resultant algorithm to solidification processes. Furthermore, we will describe a numerical procedure to choose a constant parameter for the Bermúdez–Moreno algorithm which gives good results when it is applied to solidification processes.},

author = {Barral, P., Quintela, P., Sánchez, M. T.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {viscoplastic materials; duality methods; solidification process},

language = {eng},

number = {1},

pages = {87-106},

publisher = {EDP-Sciences},

title = {A Bermúdez–Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes},

url = {http://eudml.org/doc/273349},

volume = {48},

year = {2014},

}

TY - JOUR

AU - Barral, P.

AU - Quintela, P.

AU - Sánchez, M. T.

TI - A Bermúdez–Moreno algorithm adapted to solve a viscoplastic problem in alloy solidification processes

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2014

PB - EDP-Sciences

VL - 48

IS - 1

SP - 87

EP - 106

AB - The aim of this work is to present a computationally efficient algorithm to simulate the deformations suffered by a viscoplastic body in a solidification process. This type of problems involves a nonlinearity due to the considered thermo-elastic-viscoplastic law. In our previous papers, this difficulty has been solved by means of a duality method, known as Bermúdez–Moreno algorithm, involving a multiplier which was computed with a fixed point algorithm or a Newton method. In this paper, we will improve the former algorithms by means of a generalized duality method with variable parameters and we will present numerical results showing the applicability of the resultant algorithm to solidification processes. Furthermore, we will describe a numerical procedure to choose a constant parameter for the Bermúdez–Moreno algorithm which gives good results when it is applied to solidification processes.

LA - eng

KW - viscoplastic materials; duality methods; solidification process

UR - http://eudml.org/doc/273349

ER -

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