Article (Scientific journals)
A review of higher order Newton type methods and the effect of numerical damping for the solution of an advanced coupled Lemaitre damage model
Morch, Hélène; Yuan, Sibo; Duchene, Laurent et al.
2022In Finite Elements in Analysis and Design, 209, p. 103801
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Keywords :
Applied Mathematics; Computer Graphics and Computer-Aided Design; General Engineering; Analysis
Abstract :
[en] In this paper, several Newton-type methods of convergence order 2 or higher were tested on various nonlinear systems of equations and on an advanced material law implemented in a finite-element code. The computational speed, numerical efficiency, and robustness of each method were evaluated for each studied case. The effect of numerical damping was also studied. The results were then compared to put in light the strengths and weaknesses of each method. The most efficient and robust method for the material law in the finite-element code was identified as the Newton method with a selective numerical damping.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Morch, Hélène  ;  Université de Liège - ULiège > Urban and Environmental Engineering
Yuan, Sibo ;  Université de Liège - ULiège > Faculté des Sciences Appliquées > Doct. sc. ingé. & techno. (archi., génie civ. - paysage)
Duchene, Laurent  ;  Université de Liège - ULiège > Urban and Environmental Engineering
Harzallah, Ridha
Habraken, Anne  ;  Université de Liège - ULiège > Urban and Environmental Engineering
Language :
English
Title :
A review of higher order Newton type methods and the effect of numerical damping for the solution of an advanced coupled Lemaitre damage model
Publication date :
October 2022
Journal title :
Finite Elements in Analysis and Design
ISSN :
0168-874X
eISSN :
1872-6925
Publisher :
Elsevier BV
Volume :
209
Pages :
103801
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 25 June 2022

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