TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
T1  - Finite strain fracture of plates and shells with configurational forces and edge rotation
JF  - International Journal for Numerical Methods in Engineering
N2  - Finite strain fracture of plates and shells with configurational forces and edge rotation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Banihani, Suleiman
A1  - Rabczuk, Timon
A1  - Almomani, Thakir
T1  - POD for real-time simulation of hyperelastic soft biological tissue using the point collocation method of finite spheres
JF  - Mathematical Problems in Engineering
N2  - The point collocation method of finite spheres (PCMFS) is used to model the hyperelastic response of soft biological tissue in real time within the framework of virtual surgery simulation. The proper orthogonal decomposition (POD) model order reduction (MOR) technique was used to achieve reduced-order model of the problem, minimizing computational cost. The PCMFS is a physics-based meshfree numerical technique for real-time simulation of surgical procedures where the approximation functions are applied directly on the strong form of the boundary value problem without the need for integration, increasing computational efficiency. Since computational speed has a significant role in simulation of surgical procedures, the proposed technique was able to model realistic nonlinear behavior of organs in real time. Numerical results are shown to demonstrate the effectiveness of the new methodology through a comparison between full and reduced analyses for several nonlinear problems. It is shown that the proposed technique was able to achieve good agreement with the full model; moreover, the computational and data storage costs were significantly reduced.
KW  - Chirurgie
KW  - Finite-Elemente-Methode
Y1  - 2013
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170413-31203
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Detection of flaws in piezoelectric structures using extended FEM
JF  - International Journal for Numerical Methods in Engineering
N2  - Detection of flaws in piezoelectric structures using extended FEM
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2013
SP  - 373
EP  - 389
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Wei, Ning
A1  - Fan, Z.
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Mechanical properties of three types of carbon allotropes
JF  - Nanotechnology
N2  - Mechanical properties of three types of carbon allotropes
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  - Jiang, Jin-Wu
A1  - Wang, Bing-Shen
A1  - Rabczuk, Timon
T1  - Why twisting angles are diverse in graphene Moir’e patterns?
JF  - Journal of Applied Physics
N2  - Why twisting angles are diverse in graphene Moir’e patterns?
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale Spring
JF  - Applied Physics Letters
N2  - Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale Spring
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  - 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  - 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  -