A cell method-based numerical model for resistance welding P. Alotto, M. Guarnieri, F. Moro and A. Stella Dipartimento di Ingegneria Elettrica, Universita ` di Padova, Padova, Italy Abstract Purpose – The purpose of this paper is to simulate in the time domain three-dimensional electrical, thermal, mechanical coupled contact problems arising in electric resistance welding (ERW) processes. Design/methodology/approach –A three-dimensional multiphysical numerical model for analyzing contact problems is proposed. Electrical and thermal field equations in bulk domains are discretized with the cell method (CM). Welding resistance at contact interfaces is described locally by synthetic statistic parameters and contacting domains are matched together by a non-overlapping domain decomposition method. Contact pressure distribution is resolved by a finite-element procedure. The model is validated with 3D FEM software package. Findings – The semi-analytical model describing the electric and thermal resistances at contact interfaces can be easily embedded in CM formulations, where problem variables are expressed directly in integral form. Compatibility conditions between contact members are enforced by a domain decomposition approach. System conditioning and computing time are improved by a solution strategy based on the Schur complement method. Research limitations/implications – The electrical-thermal analysis is not coupled strongly with the mechanical analysis and contact pressure distribution is assumed to be not depending on thermal stresses, which can be considerable near the contact area where localized joule heating occurs. Practical implications – Resistance welding processes involve mechanical, electrical, and thermal non-linear coupled effects that cannot be simulated by standard commercial software packages. The proposed numerical model can be used instead for designing and optimizing ERW processes. Originality/value – The paper shows that numerical modeling of ERW processes requires a careful prediction of the localized joule heating occurring at the electrode-material interface. This effect is reconstructed by the proposed approach simulating coupled electrical, thermal, and mechanical effects on different spatial scales. Keywords Contact, Electric resistance welding, Cell method, Domain decomposition method, Multiphysics, Resistance welding, Modelling Paper type Research paper Introduction Electric resistance welding (ERW) consists in a coalescence process based on the passage of a high electrical current through a pair of metal surfaces in weak mechanical contact with high electrical resistance. The flow of high currents (100-100,000 A) through this contact resistance produces a concentration of ohmic losses at the contact area, that locally increases the temperature of the contact members beyond the melting point and produces small pools of molten metal. Some factors influencing heat and welding temperatures are the size and the geometry of the workpieces, the electrode materials, electrode geometry, electrode pressing force, welding current, and time. The common method of checking a weld is a peel test, technically called “coach peel”, as expulsion weakens the material by thinning. A more effective test is the tensile test, which is much more difficult to perform and requires calibrated equipment (Messler, 1999). Temperature is a significant parameter to indicate the weld quality and numerical The current issue and full text archive of this journal is available at www.emeraldinsight.com/0332-1649.htm A numerical model for RW 1479 COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Vol. 30 No. 5, 2011 pp. 1479-1486 q Emerald Group Publishing Limited 0332-1649 DOI 10.1108/03321641111152630