Abstract
In this paper, a new method for coupling the finite element method (FEM)
and the element-free Galerkin method (EFGM) is proposed for linear elastic and ge-
ometrically nonlinear problems using local maximum entropy shape functions in the
EFG zone of the problem domain. These shape functions possess a weak Kronecker
delta property at the boundaries which provides a natural way to couple the EFG
and the FE regions as compared to the use of moving least square basis functions.
In this new approach, there is no need for interface/transition elements between the
EFG and the FE regions or any other special treatment for shape function continu-
ity across the FE-EFG interface. One- and two-dimensional linear elastic and two-
dimensional geometrically nonlinear benchmark numerical examples are solved by
the new approach to demonstrate the implementation and performance of the current
approach.
and the element-free Galerkin method (EFGM) is proposed for linear elastic and ge-
ometrically nonlinear problems using local maximum entropy shape functions in the
EFG zone of the problem domain. These shape functions possess a weak Kronecker
delta property at the boundaries which provides a natural way to couple the EFG
and the FE regions as compared to the use of moving least square basis functions.
In this new approach, there is no need for interface/transition elements between the
EFG and the FE regions or any other special treatment for shape function continu-
ity across the FE-EFG interface. One- and two-dimensional linear elastic and two-
dimensional geometrically nonlinear benchmark numerical examples are solved by
the new approach to demonstrate the implementation and performance of the current
approach.
| Original language | English |
|---|---|
| Publication status | Published - 2015 |