TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF  - Inverse Problems in Science and Engineering
N2  - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 153
EP  - 176
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF  - Inverse Problems in Science and Engineering
N2  - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Nguyen-Xuan, Hung
A1  - Chen, Lei
A1  - Lee, C.K.
A1  - Zi, Goangseup
A1  - Zhuang, Xiaoying
A1  - Liu, G.R.
A1  - Rabczuk, Timon
T1  - A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics
JF  - Journal of Applied Mathematics
N2  - This paper presents a novel numerical procedure based on the combination of an edge-based smoothed finite element (ES-FEM) with a phantom-node method for 2D linear elastic fracture mechanics. In the standard phantom-node method, the cracks are formulated by adding phantom nodes, and the cracked element is replaced by two new superimposed elements. This approach is quite simple to implement into existing explicit finite element programs. The shape functions associated with discontinuous elements are similar to those of the standard finite elements, which leads to certain simplification with implementing in the existing codes. The phantom-node method allows modeling discontinuities at an arbitrary location in the mesh. The ES-FEM model owns a close-to-exact stiffness that is much softer than lower-order finite element methods (FEM). Taking advantage of both the ES-FEM and the phantom-node method, we introduce an edge-based strain smoothing technique for the phantom-node method. Numerical results show that the proposed method achieves high accuracy compared with the extended finite element method (XFEM) and other reference solutions.
KW  - Finite-Elemente-Methode
KW  - Steifigkeit
KW  - Bruchmechanik
KW  - Riss
Y1  - 2013
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170426-31676
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Valizadeh, Navid
A1  - Nguyen, Manh Hung
A1  - Nguyen-Xuan, Hung
A1  - Zhuang, Xiaoying
A1  - Areias, Pedro
A1  - Zi, Goangseup
A1  - Bazilevs, Yuri
A1  - De Lorenzis, Laura
A1  - Rabczuk, Timon
T1  - An extended isogeometric thin shell analysis based on Kirchhoff-Love theory
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - An extended isogeometric thin shell analysis based on Kirchho_-Love theory
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 265
EP  - 291
ER  -