TY - GEN
T1 - Particle method modeling of nonlocal multiresolution continua
AU - Dai, Zili
AU - Bessa, Miguel A.
AU - Li, Shaofan
AU - Liu, Wing K
PY - 2015/1/1
Y1 - 2015/1/1
N2 - This work is concerned with the application of two different particle methods, the state-based peridynamics and the reproducing kernel particle method, to model the nonlocal multiresolution continuum. It is shown that both methods lead to the same results in uniform grids, and that they can offer an alternative to the finite element method based multiscale analysis. The equivalence between the two methods is explained in a comparison study, which shows that the statebased peridynamics may have better computational efficiency, but the RKPM synchronized derivative approach may have the possibility of faster convergence.
AB - This work is concerned with the application of two different particle methods, the state-based peridynamics and the reproducing kernel particle method, to model the nonlocal multiresolution continuum. It is shown that both methods lead to the same results in uniform grids, and that they can offer an alternative to the finite element method based multiscale analysis. The equivalence between the two methods is explained in a comparison study, which shows that the statebased peridynamics may have better computational efficiency, but the RKPM synchronized derivative approach may have the possibility of faster convergence.
KW - Micromorphic continuum
KW - Multiresolution continuum
KW - Reproducing kernel particle method
KW - State-based peridynamics
UR - http://www.scopus.com/inward/record.url?scp=84920044006&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84920044006&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-06898-5_3
DO - 10.1007/978-3-319-06898-5_3
M3 - Conference contribution
AN - SCOPUS:84920044006
T3 - Lecture Notes in Computational Science and Engineering
SP - 1
EP - 59
BT - Meshfree Methods for Partial Differential Equations VII
A2 - Griebel, Michael
A2 - Schweitzer, Marc Alexander
PB - Springer Verlag
T2 - 7th International Workshop on Meshfree Methods for Partial Differential Equations, 2013
Y2 - 9 September 2013 through 11 September 2013
ER -