TY  - JOUR
A1  - Staat, Manfred
A1  - Vu, Duc-Khoi
T1  - An Algorithm for Shakedown Analysis for Materials with Temperature Dependent Yield Stress
JF  - Proceedings in Applied Mathematics and Mechanics (PAMM). 4 (2004), H. 1
Y1  - 2004
SN  - 1617-7061
SP  - 231
EP  - 233
ER  - 
TY  - JOUR
A1  - Tran, Thanh Ngoc
A1  - Staat, Manfred
T1  - An Edge-Based Smoothed Finite Element Method for Primal-Dual Shakedown Analysis of Structures Under Uncertainties
JF  - Limit State of Materials and Structures : Direct Methods 2. Saxcé, Géry de (Hrsg.)
Y1  - 2013
SN  - 978-94-007-5424-9
SP  - 89
EP  - 102
PB  - Springer
CY  - Dordrecht
ER  - 
TY  - CHAP
A1  - Frotscher, Ralf
A1  - Staat, Manfred
T1  - An electromechanical model for cardiac tissue constructs
T2  - Conference proceedings of the YIC GACM 2015 : 3rd ECCOMAS Young Investigators Conference and 6th GACM Colloquium on Computational Mechanics , Aachen, 20.07.2015 - 23.07.2015  / ed.: Stefanie Elgeti ; Jaan-Willem Simon
Y1  - 2015
SP  - 1
EP  - 4
PB  - RWTH Aachen University
CY  - Aachen
ER  - 
TY  - JOUR
A1  - Colombo, Daniele
A1  - Drira, Slah
A1  - Frotscher, Ralf
A1  - Staat, Manfred
T1  - An element-based formulation for ES-FEM and FS-FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis
JF  - International Journal for Numerical Methods in Engineering
N2  - Edge-based and face-based smoothed finite element methods (ES-FEM and FS-FEM, respectively) are modified versions of the finite element method allowing to achieve more accurate results and to reduce sensitivity to mesh distortion, at least for linear elements. These properties make the two methods very attractive. However, their implementation in a standard finite element code is nontrivial because it requires heavy and extensive modifications to the code architecture. In this article, we present an element-based formulation of ES-FEM and FS-FEM methods allowing to implement the two methods in a standard finite element code with no modifications to its architecture. Moreover, the element-based formulation permits to easily manage any type of element, especially in 3D models where, to the best of the authors' knowledge, only tetrahedral elements are used in FS-FEM applications found in the literature. Shape functions for non-simplex 3D elements are proposed in order to apply FS-FEM to any standard finite element.
KW  - distorted element
KW  - ES-FEM
KW  - FS-FEM
KW  - non-simplex S-FEM elements
KW  - S-FEM
Y1  - 2022
U6  - http://dx.doi.org/10.1002/nme.7126
SN  - 1097-0207
VL  - 124
IS  - 2
SP  - 402
EP  - 433
PB  - Wiley
CY  - Chichester
ER  - 
TY  - JOUR
A1  - Staat, Manfred
A1  - Kühn, R.
A1  - Hauger, W.
A1  - Sponagel, Stefan
T1  - An Interpretation of Wolff’s Law
JF  - Biomedizinische Technik. 49 (2004)
Y1  - 2004
SN  - 0932-4666
N1  - Ergänzungsband 2, Teil 2
SP  - 1020
EP  - 1021
ER  - 
TY  - JOUR
A1  - Abel, Alexander
A1  - Kahmann, Stephanie Lucina
A1  - Mellon, Stephen
A1  - Staat, Manfred
A1  - Jung, Alexander
T1  - An open-source tool for the validation of finite element models using three-dimensional full-field measurements
JF  - Medical Engineering & Physics
N2  - Three-dimensional (3D) full-field measurements provide a comprehensive and accurate validation of finite element (FE) models. For the validation, the result of the model and measurements are compared based on two respective point-sets and this requires the point-sets to be registered in one coordinate system. Point-set registration is a non-convex optimization problem that has widely been solved by the ordinary iterative closest point algorithm. However, this approach necessitates a good initialization without which it easily returns a local optimum, i.e. an erroneous registration. The globally optimal iterative closest point (Go-ICP) algorithm has overcome this drawback and forms the basis for the presented open-source tool that can be used for the validation of FE models using 3D full-field measurements. The capability of the tool is demonstrated using an application example from the field of biomechanics. Methodological problems that arise in real-world data and the respective implemented solution approaches are discussed.
Y1  - 2020
U6  - http://dx.doi.org/10.1016/j.medengphy.2019.10.015
SN  - 1350-4533
VL  - 77
SP  - 125
EP  - 129
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - JOUR
A1  - Pham, Phu Tinh
A1  - Staat, Manfred
T1  - An Upper Bound Algorithm for Limit and Shakedown Analysis of Bounded Linearly Kinematic Hardening Structures
JF  - Limit State of Materials and Structures : Direct Methods 2. Saxcé, Géry de (Hrsg.)
Y1  - 2013
SN  - 978-94-007-5424-9
SP  - 71
EP  - 87
PB  - Springer
CY  - Dordrecht
ER  - 
TY  - JOUR
A1  - Vu, Duc Khoi
A1  - Staat, Manfred
A1  - Tran, Ich Thinh
T1  - Analysis of pressure equipment by application of the primal-dual theory of shakedown
JF  - Communications in Numerical Methods in Engineering. 23 (2007), H. 3
Y1  - 2007
SN  - 1069-8299
SP  - 213
EP  - 225
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  - 
TY  - JOUR
A1  - Staat, Manfred
A1  - Ballmann, J.
T1  - Anisotrope Ausbreitung und Fokussierung von Beschleunigungswellen in vorgespannten nichtlinearelastischen Scheiben
JF  - Wellenfokussierung, Kolloquium des SFB 27, RWTH Aachen
Y1  - 1985
SP  - 140
EP  - 158
CY  - Aachen
ER  -