A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations

By Alireza Sadeghirad, Rebecca M. Brannon, J. Burghardt. 2011

402 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/2ab3da08bbbd0fd86642bd5435a7b9189617a172

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

B-spline based boundary conditions in the material point method (2019, methodology): “Major improvements of the MPM include the development of the generalised interpolation material point (GIMP) method [8], the convected particle domain interpolation (CPDI) method [9] and the second-order convected particle domain interpolation (CPDI2) method [10].”
Imposition of essential boundary conditions in the material point method (2018, methodology): “An example can be found in Sadeghirad et al 11 where the zero essential boundary at the end of a cantilever is simulated by adding a whole “ghost” cantilever behind the support, subject to the same loading and with the same discretisation, thus ensuring symmetry at the fixed end of the cantilever.”
A new method for material point method particle updates that reduces noise and enhances stability (2017, background): “Other possible shape functions include CPDI [20], higher order b-splines [21], and many undeveloped ones that could be derived by GIMP methods [19].”
Continuum modelling and simulation of granular flows through their many phases (2014, methodology): “For the projection steps, we can choose various particle characteristic functions – χp in the notation of Bardenhagen & Kober (2004), or more generally can find different methods to perform the integration as in Sadeghirad et al. (2011) and Zhang et al. (2011). In moving the background mesh, we can ”
iGIMP: An implicit generalised interpolation material point method for large deformations (2017, methodology): “These errors have been investigated in [56] and there are a selection of methods that have been proposed to address this issue and improve the MPM including CPDI [57,58], DDMP [59] and the Generalised Interpolation Material Point (GIMP) method [60].”
Meshfree Methods: Progress Made after 20 Years (2017, neutral): “Throughout the paper, the following abbreviations have been introduced: (cid:129) CPDI: convected particle domain interpolation (Sadeghirad et al. 2011); (cid:129) C-SPH: corrected SPH (Dilts 1999); (cid:129) DEM: diffuse element method (Nayroles et al. 1992); (cid:129) DNI: direct nodal…”
Field‐gradient partitioning for fracture and frictional contact in the material point method (2017, methodology): “Sadeghirad A, Brannon R, Guilkey J. Second-order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces.”