Abstract
In injection moulding, it is important to obtain the optimal arrangenment of cooling lines in the mould to maintain a uniform temperature distribution on its cavity surface for high quality manufacturing. In this paper, a boundary integral design sensitivity formulation for steady-state heat conduction problems is presented, and is applied to the design of cooling lines in injection moulds. A regularized boundary integral equation for steady-state heat conduction is differentiated directly with respect to a design variable, and a boundary integral equation relating the sensitivity coefficients of the boundary temperature and the heat flux is derived. The sensitivity boundary integral equation is used for computation of the gradients of the defined objective function. Some two-dimensional numerical examples are presented.
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