TY  - CHAP
A1  - Staat, Manfred
A1  - Duong, Minh Tuan
T1  - Smoothed Finite Element Methods for Nonlinear Solid Mechanics Problems: 2D and 3D Case Studies
T2  - Proceedings of the National Science and Technology Conference on Mechanical - Transportation Engineering (NSCMET 2016), 13th October 2016, Hanoi, Vietnam, Vol.2
N2  - The Smoothed Finite Element Method (SFEM) is presented as an edge-based and a facebased techniques for 2D and 3D boundary value problems, respectively. SFEMs avoid shortcomings of the standard Finite Element Method (FEM) with lower order elements such as overly stiff behavior, poor stress solution, and locking effects. Based on the idea of averaging spatially the standard strain field of the FEM over so-called smoothing domains SFEM calculates the stiffness matrix for the same number of degrees of freedom (DOFs) as those of the FEM. However, the SFEMs significantly improve accuracy and convergence even for distorted meshes and/or nearly incompressible materials.
Numerical results of the SFEMs for a cardiac tissue membrane (thin plate inflation) and an artery (tension of 3D tube) show clearly their advantageous properties in improving accuracy particularly for the distorted meshes and avoiding shear locking effects.
Y1  - 2016
SP  - 440
EP  - 445
ER  - 
TY  - CHAP
A1  - Tran, Ngoc Trinh
A1  - Tran, Thanh Ngoc
A1  - Matthies, Hermann G.
A1  - Stavroulakis, Georgios Eleftherios
A1  - Staat, Manfred
T1  - FEM Shakedown of uncertain structures by chance constrained programming
T2  - PAMM Proceedings in Applied Mathematics and Mechanics
Y1  - 2016
U6  - https://doi.org/10.1002/pamm.201610346
SN  - 1617-7061
N1  - Special Issue:
Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung
VL  - 16
IS  - 1
SP  - 715
EP  - 716
ER  - 
TY  - JOUR
A1  - Levers, A.
A1  - Staat, Manfred
A1  - Laack, Walter van
T1  - Analysis of the long-term effect of the MBST® nuclear magnetic resonance therapy on gonarthrosis
JF  - Orthopedic Practice
Y1  - 2016
VL  - 47
IS  - 11
SP  - 521
EP  - 528
ER  -