Load and temperature interaction modeling of fatigue crack growth in a Ni-base superalloy

•The paper presents an approach to predict the crack growth in superalloys subject to both thermal and mechanical loadings.•Both experimental data and modeling predictions are presented for TMF crack growth in a superalloy.•Crack growth is very temperature history dependent.•Examples are given for potential model applications.•There are virtually no other papers in the open literature that has tackled this very difficult but important problem.