✦ LIBER ✦

A mathematical model for impulse resistance welding

✍ Scribed by F. Duderstadt; D. Hömberg; A. M. Khludnev

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 282 KB
Volume: 26
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.372

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✦ Synopsis

Abstract

We present a mathematical model of impulse resistance welding. It accounts for electrical, thermal and mechanical effects, which are non‐linearly coupled by the balance laws, constitutive equations and boundary conditions. The electrical effects of the weld machine are incorporated by a discrete oscillator circuit which is coupled to the field equations by a boundary condition.

We prove the existence of weak solutions for a slightly simplified model which however still covers most of its essential features, e.g. the quadratic Joule heat term and a quadratic term due to non‐elastic energy dissipation.

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