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Crack-tip stress evaluation has always been a problem in the frame ofclassical elasticity theory. Peridynamics has been shown to have greatadvantages in dealing with crack problems. In the present study, we present aperidynamic crack-tip stress evaluation method for multi-scale Griffith cracksubject to tensile loading. The bond-based peridynamics is used to calculatethe displacement field. Non-local deformation gradient definition fromnon-ordinary state-based peridynamics is used for stress calculation. Besides,a scale factor is introduced for evaluating crack-tip stress of multi-scaleGriffith crack. Numerical results compared with Eringen's results show thatthis peridynamic crack-tip stress evaluation method is valid for multi-scalecracks, and with the change of distance of material points, the evaluatedcrack-tip stress tends to be stable.

Crack-tip stress evaluation of multi-scale Griffith crack subjected to tensile loading by using peridynamics