Peridynamic thermal diffusion

By Selda Oterkus, Erdogan Madenci, Abigail Agwai. Journal of Computational Physics, 2014

357 citations recorded by the source corpus.

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.

Subfields: Civil and Structural Engineering, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/828a46b3d14f61df725d2e4a6b1a8f93add8a4f4

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In Civil and Structural Engineering

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

A non-ordinary state-based peridynamics formulation for thermoplastic fracture (2016, methodology): “[30] derived a SB-PD model of the heat conduction equation based on the Lagrangian formalism.”
Why do cracks branch? A peridynamic investigation of dynamic brittle fracture (2015, background): “To reduce, or in some cases eliminate, the surface effect, for any horizon size, several options have been proposed in the literature: – introduce ghost nodes (Gerstle et al. 2005) [also called fictitious nodes, see Oterkus et al. (2014)] outside of the domain.”
Variable Horizon in a Peridynamic Medium (2015, neutral): “The full peridynamic theory, like the local theory, is thermodynamically consistent [20, 12, 13], that is, ∮ T̂(Y) • dY = 0, and ∮ ν̂(F) · dF = 0.”