Continuum-kinematics-inspired peridynamics. Mechanical problems Article Swipe
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· 2019
· Open Access
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· DOI: https://doi.org/10.1016/j.jmps.2019.06.016
· OA: W2953742996
The main objective of this contribution is to develop a novel continuum-kinematicsinspired approach for peridynamics (PD), and to revisit PD’s thermodynamic foundations. \nWe distinguish between three types of interactions, namely, one-neighbour interactions, \ntwo-neighbour interactions and three-neighbour interactions. While one-neighbour interactions are equivalent to the bond-based interactions of the original PD formalism, twoand three-neighbour interactions are fundamentally different to state-based interactions in \nthat the basic elements of continuum kinematics are preserved exactly. In addition, we \npropose that an externally prescribed traction on the boundary of the continuum body \nemerges naturally and need not vanish. This is in contrast to, but does not necessarily \nviolate, standard PD. We investigate the consequences of the angular momentum balance and provide a set of appropriate arguments for the interactions accordingly. Furthermore, we elaborate on thermodynamic restrictions on the interaction energies and derive \nthermodynamically-consistent constitutive laws through a Coleman–Noll-like procedure.
