Modeling of peridynamic beams and shells with transverse shear effect via interpolation method

Peridynamics is a nonlocal theory which can easily handle discontinuities such as cracks, while it is computationally more expensive compared with finite element method (FEM). Beams and shells, as the main units of structural idealization, can tremendously improve the computational efficiency for complex structures. This study presents new peridynamic (PD) beam and shell models with the effect of transverse shear deformation based on the micro-beam bond and the Timoshenko beam theory. Interpolation method is used for describing axial, torsional, bending and transverse shear deformations as well as the corresponding strain energy densities of the micro-beam bond. The micro moduli for PD beam and shell models can be solved spontaneously. The deflections of the PD models for thin/thick beams and shells are captured accurately due to the high-order relationships between the transverse forces/bending moments and the deflections/rotational angles of the micro-beam bond. Also, no restrictions are needed on the material parameters in the PD models. The simulation results prove the high precision of the presented PD beam and shell models. ?c 2021 Elsevier B.V. All rights reserved. Superscript/Subscript Available

Automated summary

Peridynamics is a nonlocal theory that can handle easily discontinuities such as cracks, even though it is computationally more expensive. The study introduces new PD beam and shell models based on micro-beam bond and Timoshenko beam theory, with interpolation method used for describing various deformations and strain energy densities. The high precision of PD beam and shell models is proven through simulation results.