TY  - JOUR
A1  - Simpson, R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Trevelyan, J.
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
T1  - An Isogeometric Boundary Element Method for elastostatic analysis
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.cma.2011.08.008
ER  - 
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  -