The extended peridynamic model for elastoplastic and/or fracture problems

The strain-based implementation method for the extended peridynamic model (XPDM) resolves the limitation of standard models where only a fixed Poisson's ratio can be achieved. In this contribution, the XPDM formulation is extended to include bond breakage and/or plasticity mechanisms. The elastoplastic and bond breakage algorithms are elaborated. To capture the fracture process, a shear mechanism is now incorporated to the bond breakage response, in addition to the standard stretching failure mode. It is shown that the shear mechanism is required to accurately reproduce mixed mode fracture behavior observed experimentally. To demonstrate the predictive ability of the strain-based XPDM, a wide range of quasi-static and dynamic loading conditions, for both brittle and elasto-plastic materials, is considered against experimental results or practical engineering scenarios.