Ordinary state-based peridynamics for thermoviscoelastic deformation

•Ordinary state-based peridynamic constitutive relations for viscoelastic deformation under mechanical and thermal loads.•Viscous material model in terms of Prony series.•Failure nucleation and growth in a double-lap joint with a viscoelastic adhesive. This study presents the ordinary state-based peridynamic (PD) constitutive relations for viscoelastic deformation under mechanical and thermal loads. The behavior of the viscous material is modeled in terms of Prony series. The constitutive constants are the same as those of the classical history-integral model, and they are also readily available from relaxation tests. The state variables are conjugate to the PD elastic stretch measures; hence, they are consistent with the kinematic assumptions of the elastic deformation. The PD viscoelastic deformation analysis successfully captures the relaxation behavior of the material. The numerical results concern first the verification problems, and subsequently, a double-lap joint with a viscoelastic adhesive where failure nucleates and grows.