TY - JOUR
T1 - Eulerian finite cover method for solid dynamics
AU - Okazawa, Shigenobu
AU - Terasawa, Hideyuki
AU - Kurumatani, Mao
AU - Terada, Kenjiro
AU - Kashiyama, Kazuo
N1 - Funding Information:
This research is supported by “The Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Scientific Research B-19360207.”
PY - 2010/3
Y1 - 2010/3
N2 - In order to deal with the kinematic and dynamic boundary conditions in the Eulerian framework, we develop an Eulerian finite cover method (FCM) for large deformation solid dynamics by incorporating the approximation strategy of the FCM into the existing Eulerian explicit finite element method. The operator split method is employed to solve Eulerian solid dynamics problems, and the resulting numerical algorithm consists of two steps. One is the nonadvective step, in which the standard Lagrangian FC analysis is carried out with the explicit time integration scheme, and the other is the advective step, in which the CIVA method is applied to project the solution obtained in the nonadvective step to the Eulerian mesh. Two representative numerical examples are presented to validate the proposed Eulerian FCM and demonstrate its capability especially in appropriately treating the kinematic and dynamic boundary conditions.
AB - In order to deal with the kinematic and dynamic boundary conditions in the Eulerian framework, we develop an Eulerian finite cover method (FCM) for large deformation solid dynamics by incorporating the approximation strategy of the FCM into the existing Eulerian explicit finite element method. The operator split method is employed to solve Eulerian solid dynamics problems, and the resulting numerical algorithm consists of two steps. One is the nonadvective step, in which the standard Lagrangian FC analysis is carried out with the explicit time integration scheme, and the other is the advective step, in which the CIVA method is applied to project the solution obtained in the nonadvective step to the Eulerian mesh. Two representative numerical examples are presented to validate the proposed Eulerian FCM and demonstrate its capability especially in appropriately treating the kinematic and dynamic boundary conditions.
KW - Eulerian solid dynamics
KW - Explicit time integration
KW - Finite cover method
KW - Kinematic/dynamic boundary conditions
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U2 - 10.1142/S0219876210002052
DO - 10.1142/S0219876210002052
M3 - Article
AN - SCOPUS:77951669600
VL - 7
SP - 33
EP - 54
JO - International Journal of Computational Methods
JF - International Journal of Computational Methods
SN - 0219-8762
IS - 1
ER -