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

Barral, Patricia ; Quintela, Peregrina ; Sánchez, María Teresa

Resumen: 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.

Idioma: Inglés

DOI: 10.1051/m2an/2013095

Año: 2014

Publicado en: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS 48, 1 (2014), 87 - 106
ISSN: 2822-7840

Factor impacto JCR: 1.642 (2014)

Categ. JCR: MATHEMATICS, APPLIED rank: 28 / 256 = 0.109 (2014) - Q1 - T1

Tipo y forma: Article (Published version)