TY - JOUR
A1 - Nguyen-Vinh, H.
A1 - Bakar, I.
A1 - Msekh, Mohammed Abdulrazzak
A1 - Song, Jeong-Hoon
A1 - Muthu, Jacob
A1 - Zi, Goangseup
A1 - Le, P.
A1 - Bordas, Stéphane Pierre Alain
A1 - Simpson, R.
A1 - Natarajan, S.
A1 - Lahmer, Tom
A1 - Rabczuk, Timon
T1 - Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials
JF - Engineering Fracture Mechanics
N2 - We present an extended finite element formulation for dynamic fracture of piezo-electric materials. The method is developed in the context of linear elastic fracture mechanics. It is applied to mode I and mixed mode-fracture for quasi-steady cracks. An implicit time integration scheme is exploited. The results are compared to results obtained with the boundary element method and show excellent agreement.
KW - Angewandte Mathematik
KW - Stochastik
KW - Strukturmechanik
Y1 - 2012
U6 - http://dx.doi.org/10.1016/j.engfracmech.2012.04.025
SP - 19
EP - 31
ER -
TY - JOUR
A1 - Talebi, Hossein
A1 - Zi, Goangseup
A1 - Silani, Mohammad
A1 - Samaniego, Esteban
A1 - Rabczuk, Timon
T1 - A simple circular cell method for multilevel finite element analysis
JF - Journal of Applied Mathematics
N2 - A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2012
U6 - http://dx.doi.org/10.1155/2012/526846
ER -
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 - Talebi, Hossein
A1 - Zi, Goangseup
A1 - Silani, Mohammad
A1 - Samaniego, Esteban
A1 - Rabczuk, Timon
T1 - A simple circular cell method for multilevel finite element analysis
JF - Journal of Applied Mathematics
N2 - A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.
KW - Finite-Elemente-Methode
KW - Feststoff
Y1 - 2012
U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170426-31639
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 - 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 - Silani, Mohammad
A1 - Talebi, Hossein
A1 - Ziaei-Rad, S.
A1 - Hamouda, A.M.S.
A1 - Zi, Goangseup
A1 - Rabczuk, Timon
T1 - A three dimensional Extended Arlequin Method for Dynamic Fracture
JF - Computational Materials Science
N2 - A three dimensional Extended Arlequin Method for Dynamic Fracture
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2015
SP - 425
EP - 431
ER -
TY - JOUR
A1 - Nanthakumar, S.S.
A1 - Lahmer, Tom
A1 - Zhuang, Xiaoying
A1 - Zi, Goangseup
A1 - Rabczuk, Timon
T1 - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF - Inverse Problems in Science and Engineering
N2 - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW - Angewandte Mathematik
KW - Stochastik
KW - Strukturmechanik
Y1 - 2015
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 - Ghasemi, Hamid
A1 - Kerfriden, Pierre
A1 - Bordas, Stéphane Pierre Alain
A1 - Muthu, Jacob
A1 - Zi, Goangseup
A1 - Rabczuk, Timon
T1 - Interfacial shear stress optimization in sandwich beams with polymeric core using nonuniform distribution of reinforcing ingredients
JF - Composite Structures
N2 - Interfacial shear stress optimization in sandwich beams with polymeric core using nonuniform distribution of reinforcing ingredients
KW - Angewandte Mathematik
KW - Strukturmechanik
Y1 - 2015
SP - 221
EP - 230
ER -
TY - JOUR
A1 - Ghorashi, Seyed Shahram
A1 - Lahmer, Tom
A1 - Bagherzadeh, Amir Saboor
A1 - Zi, Goangseup
A1 - Rabczuk, Timon
T1 - A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials
JF - Engineering Geology
N2 - A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials
KW - Angewandte Mathematik
KW - Stochastik
KW - Strukturmechanik
Y1 - 2016
ER -
TY - JOUR
A1 - Nanthakumar, S.S.
A1 - Lahmer, Tom
A1 - Zhuang, Xiaoying
A1 - Zi, Goangseup
A1 - Rabczuk, Timon
T1 - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF - Inverse Problems in Science and Engineering
N2 - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW - Angewandte Mathematik
KW - Stochastik
KW - Strukturmechanik
Y1 - 2016
SP - 153
EP - 176
ER -