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14th WCCM-ECCOMAS Congress
The paper builds a stable variational formulation for the non-ordinary state-based peridynamics (NOSB-PD). Firstly, a new force state vector is reformulated by introducing the first Piola-Kirchhoff stress in continuum mechanics. The consistency of the new governing equation of the proposed pridynamic model and classical continuum mechanics is proved. Secondly, a stable variational formulation of non-ordinary state based peridynamics is developed to unify the boundary conditions in peridynamcisdoi:10.23967/wccm-eccomas.2020.043 fatcat:fv3irtkfqze6fdbdhgbfexfldq