In what part of your application IPP is involved? What IPP functions do you use? How do you use them? Are you using any other third party libraries? What is IPP version you link with? What is your target processor?
There are no reported problems that would implicate linking with the dynamic libraries in a crash that doesn't occur with the static libraries.
Are you using the thread-safe version of the static libraries or the multi-threaded version of the static libraries? The dynamic libraries are only multi-threaded, perhaps there is an OpenMP library conflict?