Diffusion and Stress Interrelation in the Transition Zone between a Particle and a Matrix in Composite Synthesis

A model of interaction between a solid particle and a metal melt is presented. This model takes into account some possible mechanisms of stress occurrence in the transient zone, formed between the particle and the matrix during the composite synthesis. It is assumed in the examples that either only one new phase or only two new phases appear between the initial particle of the refractory component and the melt. The mechanical stresses accompanying diffusion and growth of the new phase result from the solution of equilibrium problems. Approximate analytical solutions of the coupled problems are given, including for the case where the explicit dependence of the diffusion coefficient on the stress is taken into account.