Peridynamic thermal diffusion

Abstract

This study presents the derivation of ordinary state-based peridynamic heat conduction equation based on the Lagrangian formalism. The peridynamic heat conduction parameters are related to those of the classical theory. An explicit time stepping scheme is adopted for numerical solution of various benchmark problems with known solutions. It paves the way for applying the peridynamic theory to other physical fields such as neutronic diffusion and electrical potential distribution.

Selecting the kernel in a peridynamic formulation: A study for transient heat diffusion

“…3 model [17] of heat diffusion has appeared in [18], but examples there are still using the bondbased formulation.…”

Untitled

“…The correction at the interface is achieved by using equivalent PD material parameters [6]. As shown in Figure 5, the material point ( …”

A non-ordinary state-based peridynamics formulation for thermoplastic fracture

“…Gerstle et al [29] developed a BB-PD model for electro-migration that accounts for one-dimensional heat conduction problems. Oterkus et al [30] derived a SB-PD model of the heat conduction equation based on the Lagrangian formalism. Also, Oterkus et al [31] extended it for analysis of 2D problems.…”