TY  - CHAP
A1  - Frotscher, Ralf
A1  - Goßmann, Matthias
A1  - Raatschen, Hans-Jürgen
A1  - Temiz Artmann, Aysegül
A1  - Staat, Manfred
T1  - Simulation of cardiac cell-seeded membranes using the edge-based smoothed FEM
T2  - Shell and membrane theories in mechanics and biology. (Advanced structured materials ; 45)
N2  - We present an electromechanically coupled Finite Element model for cardiac tissue. It bases on the mechanical model for cardiac tissue of Hunter et al. that we couple to the McAllister-Noble-Tsien electrophysiological model of purkinje fibre cells. The corresponding system of ordinary differential equations is implemented on the level of the constitutive equations in a geometrically and physically nonlinear version of the so-called edge-based smoothed FEM for plates. Mechanical material parameters are determined from our own pressure-deflection experimental setup. The main purpose of the model is to further examine the experimental results not only on mechanical but also on electrophysiological level down to ion channel gates. Moreover, we present first drug treatment simulations and validate the model with respect to the experiments.
Y1  - 2015
SN  - 978-3-319-02534-6 ; 978-3-319-02535-3
SP  - 187
EP  - 212
PB  - Springer
CY  - Heidelberg
ER  - 
TY  - CHAP
A1  - Tran, Thanh Ngoc
A1  - Staat, Manfred
T1  - Uncertainty multimode failure and shakedown analysis of shells
T2  - Direct methods for limit and shakedown analysis of structures / eds. Paolo Fuschi ...
N2  - This paper presents a numerical procedure for reliability analysis of thin plates and shells with respect to plastic collapse or to inadaptation. The procedure involves a deterministic shakedown analysis for each probabilistic iteration, which is based on the upper bound approach and the use of the exact Ilyushin yield surface. Probabilistic shakedown analysis deals with uncertainties originated from the loads, material strength and thickness of the shell. Based on a direct definition of the limit state function, the calculation of the failure probability may be efficiently solved by using the First and Second Order Reliability Methods (FORM and SORM). The problem of reliability of structural systems (series systems) is handled by the application of a special technique which permits to find all the design points corresponding to all the failure modes. Studies show, in this case, that it improves considerably the FORM and SORM results.
KW  - Limit analysis
KW  - Shakedown analysis
KW  - Reliability analysis
KW  - Multimode failure
KW  - Non-linear optimization
Y1  - 2015
SN  - 978-3-319-12927-3 (print) ; 978-3-319-12928-0 (online)
U6  - http://dx.doi.org/10.1007/978-3-319-12928-0_14
SP  - 279
EP  - 298
PB  - Springer
CY  - Cham
ER  -