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Title: Peridynamic thermal diffusion

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.
Authors:
 [1] ;  [1] ;  [2]
  1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721 (United States)
  2. Intel Corporation, Chandler, AZ 85226 (United States)
Publication Date:
OSTI Identifier:
22314863
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 265; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BENCHMARKS; DIFFUSION EQUATIONS; LAGRANGIAN FUNCTION; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; POTENTIALS; THERMAL CONDUCTION; THERMAL DIFFUSION