To analyze the deformation and failure of composite unidirectional plate,an extended bond-based peridynamic constitutive model was proposed by PD theory.The macroscopic anisotropy of unidirectional plate was described through matrix bonds and fiber bonds,and a kernel function reflecting the internal length effect of long-range forces between material points was implemented into matrix bonds to improve the accuracy of quantitative calculation.Quasi-static numerical system in peridynamics was built correspondingly.Then,the presented model was verified through the quantitatively calculating of deformation in the unidirectional lamina under uniaxial tension with traditional peridynamic constitutive model,where the relative error of two models is 1.7% and 3.5%,respectively.There is a higher accuracy of quantitative calculation in the presented model.Numerical simulations and experiments were developed about composite unidirectional lamina with a central crack subjected to uniaxial tension，and numerical results agree well with experimental observations.The studies indicate the presented peridynamic constitutive model can successfully simulate the deformation and destruction of composite unidirectional lamina.Finally,this model is applied to analyze failure behaviors of unidirectional plates with the fiber angle of 0°.The results show that the matrix cracks mainly propagate in early stage,and when cracks extend to the clamping area, the fibers of structure are broken.In the last,a cross section through the whole structure is formed and lead to the failure of unidirectional lamina.