TY  - CHAP
A1  - Staat, Manfred
A1  - Heitzer, Michael
ED  - Staat, Manfred
ED  - Heitzer, Michael
T1  - Probabilistic limit and shakedown problems
T2  - Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems
Y1  - 2003
SN  - 3-00-010001-6
N1  - NIC Series
VL  - 15
SP  - 217
EP  - 268
PB  - John von Neumann Institute for Computing (NIC)
CY  - Jülich
ER  - 
TY  - CHAP
A1  - Staat, Manfred
A1  - Heitzer, Michael
T1  - The restricted influence of kinematic hardening on shakedown loads
N2  - Structural design analyses are conducted with the aim of verifying the exclusion of ratcheting. To this end it is important to make a clear distinction between the shakedown range and the ratcheting range. In cyclic plasticity more sophisticated hardening models have been suggested in order to model the strain evolution observed in ratcheting experiments. The hardening models used in shakedown analysis are comparatively simple. It is shown that shakedown analysis can make quite stable predictions of admissible load ranges despite the simplicity of the underlying hardening models. A linear and a nonlinear kinematic hardening model of two-surface plasticity are compared in material shakedown analysis. Both give identical or similar shakedown ranges. Structural shakedown analyses show that the loading may have a more pronounced effect than the hardening model.
KW  - Biomedizinische Technik
KW  - Einspielen <Werkstoff>
KW  - Shakedown
KW  - Ratcheting
KW  - Bruchmechanik
KW  - shakedown
KW  - material shakedown
KW  - linear kinematic hardening
KW  - nonlinear kinematic hardening
KW  - ratchetting
Y1  - 2002
ER  - 
TY  - BOOK
A1  - Staat, Manfred
A1  - Heitzer, Michael
T1  - Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems.
Y1  - 2003
SN  - 3-00-010001-6
N1  - NIC Series Vol. 15 / Ed. by Staat, M; Heitzer, M.
PB  - John von Neumann Institute for Computing (NIC)
CY  - Jülich
ER  - 
TY  - JOUR
A1  - Staat, Manfred
A1  - Heitzer, M.
A1  - Reiners, H.
A1  - Schubert, F.
T1  - Shakedown and ratchetting under tension–torsion loadings: analysis and experiments
JF  - Nuclear Engineering and Design. 225 (2003), H. 1
Y1  - 2003
SN  - 0029-5493
SP  - 11
EP  - 26
ER  - 
TY  - JOUR
A1  - Staat, Manfred
A1  - Heitzer, M.
A1  - Lang, H.
A1  - Wirtz, K.
T1  - Direct Finite Element Route for Design-by-Analysis of Pressure Components
JF  - International Journal of Pressure Vessels and Piping. 82 (2005), H. 1
Y1  - 2005
SN  - 0308-0161
SP  - 61
EP  - 67
ER  - 
TY  - JOUR
A1  - Staat, Manfred
A1  - Heitzer, M.
T1  - Limit and Shakedown Analysis with Uncertain Data
JF  - Stochastic optimization techniques : numerical methods and technical applications / Marti, K. [ed]
Y1  - 2002
SN  - 3-540-42889-5
SP  - 241
EP  - 254
PB  - Springer
CY  - Heidelberg
ER  - 
TY  - JOUR
A1  - Staat, Manfred
A1  - Heitzer, M.
T1  - Probabilistic limit and shakedown problems
JF  - Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M; Heitzer, M.
Y1  - 2003
SN  - 3-00-010001-6
SP  - 217
EP  - 268
PB  - John von Neumann Institute for Computing (NIC)
CY  - Jülich
ER  - 
TY  - CHAP
A1  - Staat, Manfred
A1  - Heitzer, M.
T1  - Basis reduction technique for limit and shakedown problems
T2  - Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M.; Heitzer, M.
Y1  - 2003
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0001-2018112115
SN  - 3-00-010001-6
SP  - 1
EP  - 55
PB  - John von Neumann Institute for Computing (NIC)
CY  - Jülich
ER  - 
TY  - BOOK
A1  - Staat, Manfred
A1  - Erni, Daniel
T1  - Symposium Proceedings; 3rd YRA MedTech Symposium 2019: May 24 / 2019 / FH Aachen
Y1  - 2019
SN  - 978-3-940402-22-6
U6  - https://doi.org/10.17185/duepublico/48750
PB  - Universität Duisburg-Essen
CY  - Duisburg
ER  - 
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  -