TY - JOUR
T1 - A novel complex variable element-free Galerkin method for two-dimensional large deformation problems
AU - Li, Dongming
AU - Bai, Funong
AU - Cheng, Yumin
AU - Liew, K. M.
PY - 2012/8/1
Y1 - 2012/8/1
N2 - Based on complex variable theory and moving least-squares (MLS) approximation, the improved complex variable moving least-squares (ICVMLS) approximation is discussed in this paper. Compared with complex variable moving least-squares (CVMLS) approximation, the function in the ICVMLS approximation has an explicit physics meaning. By using a new basis function, the ICVMLS approximation can obtain greater precision and computational efficiency. Based on the ICVMLS approximation, an improved complex variable element-free Galerkin (ICVEFG) method, which belongs to a novel element free Galerkin (EFG) method, is presented for two-dimensional large deformation problems. The Galerkin weak form is employed to obtain the equations, while the penalty method is used to apply the essential boundary conditions. Then the corresponding formulae of the ICVEFG method for two-dimensional large deformation problems are obtained. Compared with the EFG method, the ICVEFG method has greater precision and efficiency. © 2012 Elsevier B.V.
AB - Based on complex variable theory and moving least-squares (MLS) approximation, the improved complex variable moving least-squares (ICVMLS) approximation is discussed in this paper. Compared with complex variable moving least-squares (CVMLS) approximation, the function in the ICVMLS approximation has an explicit physics meaning. By using a new basis function, the ICVMLS approximation can obtain greater precision and computational efficiency. Based on the ICVMLS approximation, an improved complex variable element-free Galerkin (ICVEFG) method, which belongs to a novel element free Galerkin (EFG) method, is presented for two-dimensional large deformation problems. The Galerkin weak form is employed to obtain the equations, while the penalty method is used to apply the essential boundary conditions. Then the corresponding formulae of the ICVEFG method for two-dimensional large deformation problems are obtained. Compared with the EFG method, the ICVEFG method has greater precision and efficiency. © 2012 Elsevier B.V.
KW - Element-free Galerkin (EFG) method
KW - Improved complex variable element-free Galerkin (ICVEFG) method
KW - Improved complex variable moving least-squares (ICVMLS) approximation
KW - Large deformation
KW - Meshless method
KW - Moving least-squares (MLS) approximation
UR - http://www.scopus.com/inward/record.url?scp=84860867778&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84860867778&origin=recordpage
U2 - 10.1016/j.cma.2012.03.015
DO - 10.1016/j.cma.2012.03.015
M3 - 21_Publication in refereed journal
VL - 233-236
SP - 1
EP - 10
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -