Abstract: The present note proposes a new nonlocal model of interface with semi-inffinite nterfacial crack,which relates the displacement jump to the traction(sce the formula(6)).Specially,for the case where the power of the stress singuiarity is equal to(1/2),we drive a simple relationship(see the formula(10)). in which this a typical nonlocal length,and K₁ the interface constant. A similar ratationship can also btabtained between u_t and σ_t.