TY  - JOUR
A1  - Chau-Dinh, T.
A1  - Zi, Goangseup
A1  - Lee, P.S.
A1  - Song, Jeong-Hoon
A1  - Rabczuk, Timon
T1  - Phantom-node method for shell models with arbitrary cracks
JF  - Computers & Structures
N2  - A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.compstruc.2011.10.021
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Zi, Goangseup
A1  - Silani, Mohammad
A1  - Samaniego, Esteban
A1  - Rabczuk, Timon
T1  - A simple circular cell method for multilevel finite element analysis
JF  - Journal of Applied Mathematics
N2  - A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1155/2012/526846
ER  - 
TY  - JOUR
A1  - Nguyen-Vinh, H.
A1  - Bakar, I.
A1  - Msekh, Mohammed Abdulrazzak
A1  - Song, Jeong-Hoon
A1  - Muthu, Jacob
A1  - Zi, Goangseup
A1  - Le, P.
A1  - Bordas, Stéphane Pierre Alain
A1  - Simpson, R.
A1  - Natarajan, S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials
JF  - Engineering Fracture Mechanics
N2  - We present an extended finite element formulation for dynamic fracture of piezo-electric materials. The method is developed in the context of linear elastic fracture mechanics. It is applied to mode I and mixed mode-fracture for quasi-steady cracks. An implicit time integration scheme is exploited. The results are compared to results obtained with the boundary element method and show excellent agreement.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.engfracmech.2012.04.025
SP  - 19
EP  - 31
ER  -