RT Journal Article
T1 A pure-Lagrangian finite element approach for solving thermo-electrical-mechanical models. Application to electric upsetting
A1 Benítez García, Marta
A1 Bermúdez de Castro López-Varela, Alfredo
A1 Fontán Muíños, Pedro
A1 Salgado Rodríguez, María del Pilar
K1 Thermo-electrical-mechanical
K1 Large deformations
K1 Time dependent domain
K1 Pure-Lagrange–Galerkin methods
K1 High order schemes
K1 Electric upsetting
AB In this paper, we introduce a novel numerical procedure for solving fully coupled thermo-electrical-mechanical problems using implicit Runge–Kutta time integration within a purely Lagrangian finite element framework. Our formulation, grounded in continuum mechanics, accurately captures the interdependence of mechanical, thermal, and electrical effects under large deformations. It features a fully coupled thermo-electrical-mechanical Lagrangian model with an elasto-viscoplastic constitutive law, considers six primary variables –velocity, temperature, electric potential, plastic deformation gradient, an internal strain hardening variable, and a Lagrange multiplier for enforcing contact conditions– and employs a pure-Lagrangian description. This ensures the computational domain remains fixed and known a priori, simplifies the tracking of free surfaces, and eliminates convective terms. To validate our approach, we solve several axisymmetric benchmark problems and analyze convergence rates in both time and space. Moreover, our numerical results show excellent agreement with the solution obtained using commercial packages for an in-die electric upsetting process.
PB Elsevier
SN 0168-874X
YR 2025
FD 2025-08-28
LK https://hdl.handle.net/10347/43733
UL https://hdl.handle.net/10347/43733
LA eng
NO Benítez, M., Bermúdez, A., Fontán, P., Martínez, I., & Salgado, P. (2025). A pure-Lagrangian finite element approach for solving thermo-electrical-mechanical models. Application to electric upsetting. Finite Elements in Analysis and Design, 251, 104433. 10.1016/j.finel.2025.104433
NO The research has been developed in collaboration with CIE Galfor through a project granted by the Centre for the Development of Industrial Technology (CDTI) and signed between the company CIE Galfor and Itmati (nowadays, integrated in CITMAga). This work has been partially funded by MCIN /AEI /10.13039/501100011033/FEDER, UE under research Project PID2021-122625OB-I00.
DS Minerva
RD 28 abr 2026