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  - Natarajan, S.
A1  - Chakraborty, S.
A1  - Thangavel, M.
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Size dependent free flexural vibration behavior of functionally graded nanoplates
JF  - Computational Materials Science
N2  - Size dependent free flexural vibration behavior of functionally graded nanoplates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
SP  - 74
EP  - 80
ER  - 
TY  - JOUR
A1  - Thai, Chien H.
A1  - Nguyen-Xuan, Hung
A1  - Nguyen-Thanh, Nhon
A1  - Le, T.H.
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach
JF  - International Journal for Numerical Methods in Engineering
N2  - This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1002/nme.4282
SP  - 571
EP  - 603
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Zhao, Jun-Hua
A1  - Zhou, K.
A1  - Rabczuk, Timon
T1  - Superior thermal conductivity and extremely high mechanical strength in polyethylene chains from ab initio calculation
JF  - Journal of Applied Physics
N2  - The upper limit of the thermal conductivity and the mechanical strength are predicted for the polyethylene chain, by performing the ab initio calculation and applying the quantum mechanical non-equilibrium Green’s function approach. Specially, there are two main findings from our calculation: (1) the thermal conductivity can reach a high value of 310 Wm−1 K−1 in a 100 nm polyethylene chain at room temperature and the thermal conductivity increases with the length of the chain; (2) the Young’s modulus in the polyethylene chain is as high as 374.5 GPa, and the polyethylene chain can sustain 32.85%±0.05% (ultimate) strain before undergoing structural phase transition into gaseous ethylene.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1063/1.4729489
ER  -