A modeling method of failure for concrete considering the stress state in peridynamics

A modeling approach for concrete failure that incorporates stress state related by integrating macroscopic and microscopic failure descriptions was presented. At the macroscopic level, a classical stress state related failure criterion, based on continuum mechanics, is employed to determine material failure. The Cauchy stress tensor is derived by enforcing force balance conditions between the representative volume element (RVE) in continuum mechanics and the non-local horizon in peridynamics. At the mesoscopic level, peridynamics effectively captures crack propagation in concrete through bond interactions. Bond fracture is determined using a combination of ultimate stretch and compression, which are linked to the macroscopic failure criterion through specific stress states. The validity and effectiveness of the proposed method are demonstrated through comparisons between the stress state related failure envelope and traditional peridynamic failure criteria. Additionally, the accuracy of Cauchy stress calculations before crack initiation is verified by comparing stress distributions obtained from the finite element method and peridynamics under tensile loading of a circular orifice plate. Further simulations of material failure modes under various stress states highlight the advantages of the proposed approach. This method provides a comprehensive framework for modeling geomaterial failure, accurately capturing both material deformation in the continuous state and crack evolution in the discontinuous state.