TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Nguyen, Hiep Vinh
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
A1  - Duflot, Marc
T1  - A cell-based smoothed finite element method for three dimensional solid structures
JF  - KSCE Journal of Civil Engineering
N2  - This paper extends further the strain smoothing technique in finite elements to 8-noded hexahedral elements (CS-FEM-H8). The idea behind the present method is similar to the cell-based smoothed 4-noded quadrilateral finite elements (CS-FEM-Q4). In CSFEM, the smoothing domains are created based on elements, and each element can be further subdivided into 1 or several smoothing cells. It is observed that: 1) The CS-FEM using a single smoothing cell can produce higher stress accuracy, but insufficient rank and poor displacement accuracy; 2) The CS-FEM using several smoothing cells has proper rank, good displacement accuracy, but lower stress accuracy, especially for nearly incompressible and bending dominant problems. We therefore propose 1) an extension of strain smoothing to 8-noded hexahedral elements and 2) an alternative CS-FEM form, which associates the single smoothing cell issue with multi-smoothing cell one via a stabilization technique. Several numerical examples are provided to show the reliability and accuracy of the present formulation.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1007/s12205-012-1515-7
SP  - 1230
EP  - 1242
ER  - 
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  - Bucher, Christian
A1  - Most, Thomas
T1  - A comparison of approximate response functions in structural reliability analysis
JF  - Probabilistic Engineering Mechanics
N2  - A comparison of approximate response functions in structural reliability analysis
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2008
SP  - 154
EP  - 163
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Silani, Mohammad
A1  - Bordas, Stéphane Pierre Alain
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
T1  - A computational library for multiscale modeling of material failure
JF  - Computational Mechanics
N2  - A computational library for multiscale modeling of material failure
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Zhuang, Xiaoying
A1  - Huang, Runqiu
A1  - Rabczuk, Timon
A1  - Liang, C.
T1  - A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage
JF  - Mathematical Problems in Engineering
N2  - A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Zhang, Chao
A1  - Wang, Cuixia
A1  - Lahmer, Tom
A1  - He, Pengfei
A1  - Rabczuk, Timon
T1  - A dynamic XFEM formulation for crack identification
JF  - International Journal of Mechanics and Materials in Design
N2  - A dynamic XFEM formulation for crack identification
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 427
EP  - 448
ER  - 
TY  - JOUR
A1  - Yang, Shih-Wei
A1  - Budarapu, Pattabhi Ramaiah
A1  - Mahapatra, D.R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - A Meshless Adaptive Multiscale Method for Fracture
JF  - Computational Materials Science
N2  - A Meshless Adaptive Multiscale Method for Fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 382
EP  - 395
ER  - 
TY  - JOUR
A1  - Most, Thomas
A1  - Bucher, Christian
T1  - A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions
JF  - Structural Engineering and Mechanics
N2  - A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2005
SP  - 315
EP  - 332
ER  - 
TY  - JOUR
A1  - Most, Thomas
T1  - A natural neighbour-based moving least-squares approach for the element-free Galerkin method
JF  - International Journal for Numerical Methods in Engineering
N2  - A natural neighbour-based moving least-squares approach for the element-free Galerkin method
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2007
SP  - 224
EP  - 252
ER  - 
TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
A1  - Nguyen-Thanh, Nhon
A1  - Nguyen-Thoi, T.
A1  - Bordas, Stéphane Pierre Alain
T1  - A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates
JF  - Computational Mechanics
N2  - A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
SP  - 679
EP  - 701
ER  -