Towards elasto-plastic continuum-kinematics-inspired peridynamics

The main objective of this contribution is to develop a dissipation-consistent elasto-plastic peridynamic (PD) formulation that also geometrically exact. We distinguish between one-neighbour, two-neighbour and three-neighbour interactions. One-neighbour interactions are equivalent the bond-based original PD formalism. However, two- fundamentally different state-based interactions, as basic elements continuum kinematics preserved exactly. investigate consequences angular momentum balance provide set appropriate arguments for interaction potentials accordingly. Furthermore, we elaborate on restrictions energies derive constitutive laws through Coleman–Noll-like procedure. Although framework suitable finite deformations, an additive decomposition kinematic quantities into elastic plastic parts rigorously proven be correct choice. Crucially, in our proposed scheme, resembles standard one-dimensional plasticity, all Finally, demonstrate capability via series numerical examples.