Davies joins Incite from the world of global wine research, where she worked for boutique market research agency Wine Intelligence.
Petrie joins from Nunwood Consulting, where she has worked for four years across a wide range of sectors, including retail, FMCG and financial services.
Roger Banks, Incite managing director, said: "We are delighted to be in the fortunate position of being able to attract and recruit so many highly talented people who will contribute to our business's continued success.
"The range of skills they bring, are all vital as we grow and continue to meet the needs of our clients."