Pregled bibliografske jedinice broj: 513739
Ghost forces in concurrent atomistic-to-continuum coupling based on Bridging domain method
Ghost forces in concurrent atomistic-to-continuum coupling based on Bridging domain method // 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Book of abstracts / Brenn ; Holzapfel ; Schanz ; Steinbach (ur.).
Graz, 2011. str. 246-247 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Ghost forces in concurrent atomistic-to-continuum coupling based on Bridging domain method
Autori
Marenić, Eduard ; Sorić, Jurica ; Tonković, Zdenko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Book of abstracts
/ Brenn ; Holzapfel ; Schanz ; Steinbach - Graz, 2011, 246-247
Skup
82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics
Mjesto i datum
Graz, Austrija, 18.04.2011. - 21.04.2011
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
atomistic-to-continuum coupling; bridging domain method; molecular mechanics; ghost forces; multi-scale method
Sažetak
The main objective of this work is to propose an efficient corrective method for suppressing spurious effects (called ghost forces) that may arise in the atomistic-to-continuum coupling used for concurrent multi-scale modeling based on the minimization of a global energy functional. The coupling approach is related to the so-called Arlequin method, which is a general approach to couple different models by means of blending energy functional. Particularly the coupling is related to the bridging domain method developed by T. Belytschko et. al. The formulation refers to the partitioned domain problem with overlapping domains (handshake zone) where the displacement coupling is enforced by Lagrange multipliers. An approach using penalty method is also considered. The atomistic domain is treated with molecular mechanics to describe non-local atomic interactions by the pairwise harmonic and Lennard-Jones potentials, and continuum is discretized with finite elements. A Homogenized continuum model is obtained by calculating the strain energy density from underlaying atomistic structure via Cauchy-Born rule and representative volume element. The focus is currently on the static limit and 1D case.
Izvorni jezik
Engleski
Znanstvena područja
Strojarstvo
POVEZANOST RADA
Projekti:
120-1201910-1812 - Numeričko modeliranje procesa deformiranja bioloških tkiva (Sorić, Jurica, MZOS ) ( CroRIS)
120-1201910-1906 - Modeliranje oštećenja i sigurnost konstrukcija (Tonković, Zdenko, MZOS ) ( CroRIS)
Ustanove:
Fakultet strojarstva i brodogradnje, Zagreb
