What version of InDesign? OS?
What export settings? EPS is no longer recommended for use with InDesign as it does not support transparency or color management. Does this happen with any .ai file you place, or just one specific file? Every document, or just a specific document into which you placed the .ai file?
Export setting are vey different... newspaper, magazines and so on... crashes anyway with all Ai files in any old an new InDesign doc!!!
I'm about to upgrade to InDesign CC2015 from CS6... hopefully it will show some results