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 - Thai-Hoang, C.
A1 - Nguyen-Xuan, Hung
A1 - Rabczuk, Timon
T1 - A smoothed finite element method for the static and free vibration analysis of shells
JF - Journal of Civil Engineering and Architecture
N2 - A smoothed finite element method for the static and free vibration analysis of shells
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2010
SP - 13
EP - 25
ER -
TY - JOUR
A1 - Nguyen-Thoi, T.
A1 - Phung-Van, P.
A1 - Rabczuk, Timon
A1 - Nguyen-Xuan, Hung
A1 - Le-Van, C.
T1 - Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)
JF - International Journal of Computational Methods
N2 - Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2013
ER -
TY - JOUR
A1 - Le, C.V.
A1 - Nguyen-Xuan, Hung
A1 - Askes, H.
A1 - Rabczuk, Timon
A1 - Nguyen-Thoi, T.
T1 - Computation of limit load using edge-based smoothed finite element method and second-order cone programming
JF - International Journal of Computational Methods
N2 - Computation of limit load using edge-based smoothed finite element method and second-order cone programming
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2013
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 - 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 - Nguyen-Xuan, Hung
A1 - Rabczuk, Timon
A1 - Nguyen-Thoi, T.
A1 - Tran, T.
A1 - Nguyen-Thanh, Nhon
T1 - Computation of limit and shakedown loads using a node-based smoothed finite element method
JF - International Journal for Numerical Methods in Engineering
N2 - This paper presents a novel numerical procedure for computing limit and shakedown loads of structures using a node-based smoothed FEM in combination with a primal–dual algorithm. An associated primal–dual form based on the von Mises yield criterion is adopted. The primal-dual algorithm together with a Newton-like iteration are then used to solve this associated primal–dual form to determine simultaneously both approximate upper and quasi-lower bounds of the plastic collapse limit and the shakedown limit. The present formulation uses only linear approximations and its implementation into finite element programs is quite simple. Several numerical examples are given to show the reliability, accuracy, and generality of the present formulation compared with other available methods.
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2012
U6 - http://dx.doi.org/10.1002/nme.3317
SP - 287
EP - 310
ER -
TY - JOUR
A1 - Nguyen-Thanh, Nhon
A1 - Valizadeh, N.
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 -
TY - JOUR
A1 - Nguyen-Thanh, Nhon
A1 - Nguyen-Xuan, Hung
A1 - Bordas, Stéphane Pierre Alain
A1 - Rabczuk, Timon
T1 - Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
JF - Computer Methods in Applied Mechanics and Engineering
N2 - Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2011
SP - 1892
EP - 1908
ER -
TY - JOUR
A1 - Thai, Chien H.
A1 - Nguyen-Xuan, Hung
A1 - Bordas, Stéphane Pierre Alain
A1 - Nguyen-Thanh, Nhon
A1 - Rabczuk, Timon
T1 - Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory
JF - Mechanics of Advanced Materials and Structures
N2 - Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2015
SP - 451
EP - 469
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 -
TY - JOUR
A1 - Nguyen-Thanh, Nhon
A1 - Rabczuk, Timon
A1 - Nguyen-Xuan, Hung
A1 - Bordas, Stéphane Pierre Alain
T1 - An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
JF - Finite Elements in Analysis & Design
N2 - An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2011
SP - 519
EP - 535
ER -
TY - JOUR
A1 - Nguyen-Thanh, Nhon
A1 - Rabczuk, Timon
A1 - Nguyen-Xuan, Hung
A1 - Bordas, Stéphane Pierre Alain
T1 - An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
JF - Journal of Computational and Applied Mathematics
N2 - An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2009
SP - 2112
EP - 2135
ER -
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 - 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 - Chen, Lei
A1 - Nguyen-Thanh, Nhon
A1 - Nguyen-Xuan, Hung
A1 - Rabczuk, Timon
A1 - Bordas, Stéphane Pierre Alain
A1 - Limbert, Georges
T1 - Explicit finite deformation analysis of isogeometric membranes
JF - Computer Methods in Applied Mechanics and Engineering
N2 - Explicit finite deformation analysis of isogeometric membranes
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2014
SP - 104
EP - 130
ER -
TY - JOUR
A1 - Thai, Chien H.
A1 - Ferreira, A.J.M.
A1 - Bordas, Stéphane Pierre Alain
A1 - Rabczuk, Timon
A1 - Nguyen-Xuan, Hung
T1 - Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory
JF - European Journal of Mechanics
N2 - Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2014
SP - 89
EP - 108
ER -
TY - CHAP
A1 - Nguyen-Thanh, Nhon
A1 - Nguyen-Xuan, Hung
A1 - Bordas, Stéphane Pierre Alain
A1 - Rabczuk, Timon
T1 - Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes
N2 - Isogeometric finite element analysis has become a powerful alternative to standard finite elements due to their flexibility in handling complex geometries. One major drawback of NURBS based isogeometric finite elements is their less effectiveness of local refinement. In this study, we present an alternative to NURBS based isogeometric finite elements that allow for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. We will demonstrate the efficiency of the proposed method by two numerical examples.
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2010
U6 - http://dx.doi.org/10.1088/1757-899X/10/1/012238
ER -
TY - JOUR
A1 - Nguyen-Thanh, Nhon
A1 - Kiendl, J.
A1 - Nguyen-Xuan, Hung
A1 - Wüchner, R.
A1 - Bletzinger, Kai-Uwe
A1 - Bazilevs, Yuri
A1 - Rabczuk, Timon
T1 - Rotation free isogeometric thin shell analysis using PHT-splines
JF - Computer Methods in Applied Mechanics and Engineering
N2 - Rotation free isogeometric thin shell analysis using PHT-splines
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2011
SP - 3410
EP - 3424
ER -