Heat flow disturbed by periodic array of insulated interface cracks

• The heat flow across a periodic array of interface cracks was determined.
• The classical complex variable technique was used, extended with conformal mapping.
• For large cracks, the disturbed fluxes interact.
• For small cracks, the result reduces to the case of a single crack.

The thermal effects of an interface crack between two dissimilar half-spaces is considered. The interface cracks are partially or fully insulated, and spaced in a periodic array. Using the complex variable technique, the temperature and fluxes are found in closed form, and the interactions between heat flows due to nearby cracks are determined.