An elastic-plastic finite element analysis with high order elements is performed to examine closure behaviour of fatigue. cracks in residua1 stress fieids and the numerical results are then compared with experimental results. The finite element analysis, performed under plane stress using 8-node isoparametric elements, can predict fatigue crack closure behaviour through residual stress fields very well. The crack opening and closing behaviour through a compressive residual stress field is found to be complicated and influenced by the applied load magnitude and the location of the crack tip. Three different types of crack opening behaviour, namely, normal, unsymmetric partial and symmetric partial crack opening behaviour are observed through a compressive residual stress field. The partial crack opening stress intensity factor including the partial crack opening effect is recommended for the prediction of fatigue crack growth through a compressive residual stress field. NOMENCLATURE a, a,, = half crack length and initial half crack length E = Young's modulus H' =linear strain hardening parameter (du/ds) AKeW = effective stress intensity factor range Kop =crack opening stress intensity factor K, , K,, = maximum and minimum stress intensity factors due to applied loading Kp,.,. op = partial crack opening stress intensity factor K, = stress intensity factor induced by the residual stress K L x = Kmx + K, K-= K-+ K , PmX = maximum applied loading R, R' = stress ratio, and effective stress ratio (K,,/K&) Q , , =maximum applied stress u = Poisson's ratio uY = yield stress