TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Wang, L.
A1  - Jiang, Jin-Wu
A1  - Wang, Z.
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - A comparative study of two molecular mechanics models based on harmonic potentials
JF  - Journal of Applied Physics
N2  - A comparative study of two molecular mechanics models based on harmonic potentials
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Kerfriden, Pierre
A1  - Goury, O.
A1  - Rabczuk, Timon
A1  - Bordas, Stéphane Pierre Alain
T1  - A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 169
EP  - 188
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  - Jiang, Jin-Wu
A1  - Park, Harold S.
A1  - Gall, K.
A1  - Leach, A.
A1  - Rabczuk, Timon
T1  - A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures
JF  - Journal of the Mechanics and Physics of Solids
N2  - A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Liu, G.R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Natarajan, S.
A1  - Rabczuk, Timon
T1  - An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 252
EP  - 273
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Zhao, Jun-Hua
A1  - Jia, Yue
A1  - Mabrouki, Tarek
A1  - Gong, Yadong
A1  - Wei, Ning
A1  - Rabczuk, Timon
T1  - An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
JF  - Composite Structures
N2  - An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 261
EP  - 269
ER  - 
TY  - JOUR
A1  - Nguyen-Thoi, T.
A1  - Phung-Van, P.
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Le-Van, C.
T1  - An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems
JF  - International Journal of Computational Methods
N2  - An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Phan-Dao, H.
A1  - Nguyen-Xuan, Hung
A1  - Thai-Hoang, C.
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - An edge-based smoothed finite element method for analysis of laminated composite plates
JF  - International Journal of Computational Methods
N2  - An edge-based smoothed finite element method for analysis of laminated composite plates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Dias-da-Costa, D.
T1  - Assumed-metric spherically-interpolated quadrilateral shell element
JF  - Finite Elements in Analysis and Design
N2  - Assumed-metric spherically-interpolated quadrilateral shell element
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 53
EP  - 67
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Dias-da-Costa, D.
T1  - Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach
JF  - CMES: Computer Modeling in Engineering and Sciences
N2  - Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  -