Estimating the workpiece-backing plate heat transfer coefficient in friction stirwelding

Abstract

Purpose

The purpose of this paper is to determine the magnitude and spatial distribution of the heat transfer coefficient between the workpiece and the backing plate in a friction stir welding process using inverse modelling.

Design/methodology/approach

The magnitude and distribution of the heat transfer coefficient are the variables in an optimisation problem. The objective is to minimise the difference between experimentally measured temperatures and temperatures obtained using a 3D finite element model. The optimisation problem is solved using a gradient based optimisation method. This approach yields optimal values for the magnitude and distribution of the heat transfer coefficient.

Findings

It is found that the heat transfer coefficient between the workpiece and the backing plate is non-uniform and takes its maximum value in a region below the welding tool. Four different parameterisations of the spatial distribution of the heat transfer coefficient are analysed and a simple, two parameter distribution is found to give good results.

Originality/value

The heat transfer from workpiece to backing plate is important for the temperature field in the workpiece, and in turn the mechanical properties of the welded plate. Accurate modelling of the magnitude and distribution of the heat transfer coefficient is therefore an essential step towards improved models of the process. This is the first study using a gradient based optimisation method and a non-uniform parameterisation of the heat transfer coefficient in an inverse modeling approach to determine the heat transfer coefficient in friction stir welding.

Citation

Larsen, A., Stolpe, M. and Hattel, J.H. (2012), "Estimating the workpiece-backing plate heat transfer coefficient in friction stirwelding", Engineering Computations, Vol. 29 No. 1, pp. 65-82. https://doi.org/10.1108/02644401211190573