A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities

By Florin Bobaru, Monchai Duangpanya. Journal of Computational Physics, 2012

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Dual-horizon peridynamics: A stable solution to varying horizons (2017, methodology): “The traditional PD method was proposed by Silling [9] and has been applied onwards for a wide range of problems including impact loading, fragmentation [10,11], composites delamination [12], beam and plate/shell structures [13–15], thermal diffusion [16] and flow in porous media [17,18].”
A non-ordinary state-based peridynamics formulation for thermoplastic fracture (2016, background): “Bobaru and Duangpanya [26] formulated a one-dimensional BB-PD theory for the heat conduction equation and also extended it to solve two-dimensional problems with discontinuities [27].”
Peridynamic thermal diffusion (2014, methodology): “Additionally, Bobaru and Duangpanya [18] proposed a one dimensional peridynamic heat conduction equation.”
Fully coupled peridynamic thermomechanics (2012, methodology): “(39) Note that for the uncoupled case, this equation reduces to the PD heat conduction equation as given by Bobaru and Duangpanya (2010, 2012).”