TY  - JOUR
A1  - Pieper, Martin
T1  - Multiobjective optimization with expensive objectives applied to a thermodynamic material design problem
JF  - Proceedings in applied mathematics and mechanics : PAMM. 11 (2011), H. 1
Y1  - 2011
SN  - 1617-7061
SP  - 733
EP  - 734
PB  - Wiley
CY  - Weinheim
ER  - 
TY  - JOUR
A1  - Jildeh, Zaid B.
A1  - Wagner, Torsten
A1  - Schöning, Michael Josef
A1  - Pieper, Martin
T1  - Simulating the electromagnetic‐thermal treatment of thin aluminium layers for adhesion improvement
JF  - Physica status solidi (a)
N2  - A composite layer material used in packaging industry is made from joining layers of different materials using an adhesive. An important processing step in the production of aluminium-containing composites is the surface treatment and consequent coating of adhesive material on the aluminium surface. To increase adhesion strength between aluminium layer and the adhesive material, the foil is heat treated. For efficient heating, induction heating was considered as state-of-the-art treatment process. Due to the complexity of the heating process and the unpredictable nature of the heating source, the control of the process is not yet optimised. In this work, a finite element analysis of the process was established and various process parameters were studied. The process was simplified and modelled in 3D. The numerical model contains an air domain, an aluminium layer and a copper coil fitted with a magnetic field concentrating material. The effect of changing the speed of the aluminium foil (or rolling speed) was studied with the change of the coil current. Statistical analysis was used for generating a general control equation of coil current with changing rolling speed.
Y1  - 2015
U6  - http://dx.doi.org/10.1002/pssa.201431893
SN  - 1862-6319
VL  - Vol. 212
IS  - 6
SP  - 1234
EP  - 1241
PB  - Wiley
CY  - Weinheim
ER  - 
TY  - JOUR
A1  - Pieper, Martin
A1  - Klein, Peter
T1  - Numerical solution of the heat equation with non-linear, time derivative-dependent source term
JF  - International Journal for Numerical Methods in Engineering
N2  - The mathematical modeling of heat conduction with adsorption effects in coated metal structures yields the heat equation with piecewise smooth coefficients and a new kind of source term. This term is special, because it is non-linear and furthermore depends on a time derivative. In our approach we reformulated this as a new problem for the usual heat equation, without source term but with a new non-linear coefficient. We gave an existence and uniqueness proof for the weak solution of the reformulated problem. To obtain a numerical solution, we developed a semi-implicit and a fully implicit finite volume method. We compared these two methods theoretically as well as numerically. Finally, as practical application, we simulated the heat conduction in coated aluminum fibers with adsorption in the zeolite coating. Copyright © 2010 John Wiley & Sons, Ltd.
Y1  - 2010
U6  - http://dx.doi.org/10.1002/nme.2937
SN  - 0029-5981
VL  - 84
IS  - 10
SP  - 1205
EP  - 1221
PB  - Wiley
CY  - Chichester
ER  -