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  - Zhao, Jun-Hua
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - An analytical molecular mechanics model for the elastic properties of crystalline polyethylene
JF  - Journal of Applied Physics
N2  - We present an analytical model to relate the elastic properties of crystalline polyethylene based on a molecular mechanics approach. Along the polymer chains direction, the united-atom (UA) CH2-CH2 bond stretching, angle bending potentials are replaced with equivalent Euler-Bernoulli beams. Between any two polymer chains, the explicit formulae are derived for the van der Waals interaction represented by the linear springs of different stiffness. Then, the nine independent elastic constants are evaluated systematically using the formulae. The analytical model is finally validated by present united-atom molecular dynamics (MD) simulations and against available all-atom molecular dynamics results in the literature. The established analytical model provides an efficient route for mechanical characterization of crystalline polymers and related materials.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1063/1.4745035
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Park, Harold S.
A1  - Rabczuk, Timon
T1  - Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism
JF  - Nanotechnology
N2  - Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
ER  -