With increasing use of advanced composite and hybridmaterials in engineering, the analysis of fracture mechanismsof interface bond between conventional materials and composites (e.g.,fracture of concrete-composite or wood-composite interface) becomes aninteresting topic. In this paper, the recent development of fracture models ofbi-material interfaces is reviewed. The crack tip fields at a bi-materialinterface are first disussed, followed by a comparison of differenttheories for interface fracture analysis, including (1) Classicalbeam/plate theory and rigid joint model, (2) Bi-layer shear deformable beamtheory and semi-rigid joint model, (3) Bi-layer interface deformable modeland flexible joint model, (4) Multi-sub-layer shear deformable beam theoryand multi-sub-layer joint model, (5) Beam on elastic foundation model, and(6) Non-linear cohesive model. The analytical models, common fracturespecimen configurations, and experimental techniques for mode I, mode II andmixed mode fracture of adhesively bonded interface are compared. Anoverview of researches on fracture of concrete-FRP bonded interfaces ispresented, and some recommendations are made and future researchdirections for fracture of bi-material interface are pointed out.