Continuum-kinematics-inspired peridynamics: Thermo-mechanical problems

The recently proposed continuum-kinematics-inspired peridynamics (CPD) is extended to account for thermo-mechanical coupling at large deformations. key features of CPD are that it geometrically exact and built upon multi-neighbour interactions. bond-based interactions the original PD formalism equivalent one-neighbour CPD. Two- three-neighbour interactions, however, fundamentally different from state-based in basic elements continuum kinematics preserved exactly. We elaborate on thermodynamic restrictions interaction energies derive thermodynamically consistent constitutive laws through a Coleman–Noll-like procedure. Notably, we show various choices temperature, or coldness, satisfy dissipation inequality provide meaningful evolution equations together with Fourier-like conduction relations.