Project P1
Project description
Design and analysis of functional composite materials with strain-induced magneto-electric coupling
Magneto-electric functional materials are of high technical relevance for the advancement and development of new functional devices in medical engineering and information technology. However, these materials become only technologically relevant when the desired coupling between magnetic and electric properties is present in a technically reasonable temperature range. Since this is not the fact for naturally occurring materials, the design of synthetic composite materials is of high scientific importance.
Within the scope of this project magneto-electric composites, consisting of a piezoelectric matrix with magnetic inclusions are modeled and analyzed meso-mechanically and characterized macroscopically. In order to do so, a fully magneto-electro-mechanically coupled, thermodynamically consistent model will be developed for each individual phase on the mesoscale. Using a direct homogenization scheme the (effective) macroscopic response is determined, from which the desired magneto-electric coefficients can be computed.
Publications
Keip, M.-A., Labusch, M. & Schröder, J. (2013), "Two-scale computational homogenization of magneto-electric composites", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 529-532. |
BibTeX:
@article{Keip2013, author = {M.-A. Keip and M. Labusch and J. Schröder}, title = {Two-scale computational homogenization of magneto-electric composites}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, pages = {529--532} } |
Keip, M.-A., Steinmann, P. & Schröder, J. (2014), "Two-scale computational homogenization of electroelasticity at finite strains", Computer Methods in Applied Mechanics and Engineering. Vol. 278, pp. 62-79. |
BibTeX:
@article{Keip2104, author = {M.-A. Keip and P. Steinmann and J. Schröder}, title = {Two-scale computational homogenization of electroelasticity at finite strains}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2014}, volume = {278}, pages = {62--79} } |
Labusch, M., Keip, M.-A., Schröder, J. & Lupascu, D. (2013), "Numerical analysis of two-phase magneto-electric composites", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 261-262. |
BibTeX:
@article{Labusch2013, author = {M. Labusch and M.-A. Keip and J. Schröder and D.C. Lupascu}, title = {Numerical analysis of two-phase magneto-electric composites}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, pages = {261--262} } |
Labusch, M., Etier, M., Lupascu, D., Schröder, J. & Keip, M.-A. (2014), "Product properties of a two-phase magneto-electric composite: Synthesis and numerical modeling", Computational Mechanics. Vol. 54, pp. 71-83. |
BibTeX:
@article{Labusch2014, author = {Labusch, M. and Etier, M. and Lupascu, D.C. and Schröder, J. and Keip, M.-A.}, title = {Product properties of a two-phase magneto-electric composite: Synthesis and numerical modeling}, journal = {Computational Mechanics}, year = {2014}, volume = {54}, pages = {71--83}, note = {P1, P2} } |
M. Labusch, M.-A. Keip, B.K.J.S. (2014), "Computation of the Effective Magnetostrictive Coeffcient of Magneto-mechanically Coupled Composites", In Proceedings of 11$^th$ World Congress on Computational Mechanics (WCCM XI). |
BibTeX:
@inproceedings{M.Labusch2014, author = {M. Labusch, M.-A. Keip, B. Kiefer, J. Schröder}, title = {Computation of the Effective Magnetostrictive Coeffcient of Magneto-mechanically Coupled Composites}, booktitle = {Proceedings of 11$^th$ World Congress on Computational Mechanics (WCCM XI)}, year = {2014} } |
Schröder, J. (2009), "Derivation of the localization and homogenization conditions for electro--mechanically coupled problems", Computational Materials Science. Vol. 46, pp. 595-599. |
BibTeX:
@article{Sch:2009:dot, author = {Schröder, J.}, title = {Derivation of the localization and homogenization conditions for electro--mechanically coupled problems}, journal = {Computational Materials Science}, year = {2009}, volume = {46}, pages = {595--599} } |
Schröder, J. & Keip, M.A. (2011), "Multiscale modeling of electro--mechanically coupled materials: homogenization procedure and computation of overall moduli", In IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials. |
BibTeX:
@inproceedings{SchKei:2011:mmo, author = {Schröder, J. and Keip, M. A.}, title = {Multiscale modeling of electro--mechanically coupled materials: homogenization procedure and computation of overall moduli}, booktitle = {IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials}, year = {2011} } |
Schröder, J. & Keip, M.-A. (2012), "Two-scale homogenization of electromechanically coupled boundary value problems -- consistent linearization and applications", Computational Mechanics. Vol. 50, pp. 229-244. Springer Berlin / Heidelberg. |
BibTeX:
@article{SchKei:2012:tho, author = {Schröder, J. and Keip, M.-A.}, title = {Two-scale homogenization of electromechanically coupled boundary value problems -- consistent linearization and applications}, journal = {Computational Mechanics}, publisher = {Springer Berlin / Heidelberg}, year = {2012}, volume = {50}, pages = {229--244}, note = {10.1007/s00466-012-0715-9}, url = {http://dx.doi.org/10.1007/s00466-012-0715-9} } |
Schröder, J., Keip, M.-A., Labusch, M. & Lupascu, D. (2013), "Strain induced product properties of magneto-electric Composites", In Research and Applications in Structural Engineering, Mechanics and Computation. , pp. 393-398. Taylor & Francis Group. |
BibTeX:
@incollection{SchKeiLabLup:2013:sip, author = {Schröder, J. and Keip, M.-A. and Labusch, M. and Lupascu, D.C.}, title = {Strain induced product properties of magneto-electric Composites}, booktitle = {Research and Applications in Structural Engineering, Mechanics and Computation}, publisher = {Taylor & Francis Group}, year = {2013}, pages = {393--398} } |
J. Schröder, M. Labusch, M.-A.K. (2015), "Algorithmic two-scale transition for magneto-electro-mechanically coupled problem", Computer Methods in Applied Mechanics and Engineering. Vol. submitted for publication |
BibTeX:
@article{Schr2015, author = {J. Schröder, M. Labusch, M.-A. Keip}, title = {Algorithmic two-scale transition for magneto-electro-mechanically coupled problem}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2015}, volume = {submitted for publication} } |
Schrade, D., Müller, R., Gross, D., Keip, M.-A., Thai, H. & Schröder, J. (2014), "An invariant formulation for phase field models in ferroelectrics", International Journal of Solids and Structures. Vol. 51, pp. 2144-2156. |
BibTeX:
@article{Schrade2014, author = {Schrade, D. and Müller, R. and Gross, D. and Keip, M.-A. and Thai, H. and Schröder, J.}, title = {An invariant formulation for phase field models in ferroelectrics}, journal = {International Journal of Solids and Structures}, year = {2014}, volume = {51}, pages = {2144--2156}, note = {P4, P1} } |
Keip, M.-A., Schrade, D., Thai, H., Schröder, J., Svendsen, B., Müller, R. & Gross, D. (2015), "Coordinate-invariant phase-field modeling of ferroelectrics, part II: Model formulation and single-crystal simulations", GAMM-Mitteilungen. Vol. 38(1), pp. 115-131. |
BibTeX:
@article{Keip2015, author = {Keip, M.-A. and Schrade, D. and Thai, H. and Schröder, J. and Svendsen, B. and Müller, R. and Gross, D.}, title = {Coordinate-invariant phase-field modeling of ferroelectrics, part II: Model formulation and single-crystal simulations}, journal = {GAMM-Mitteilungen}, year = {2015}, volume = {38}, number = {1}, pages = {115--131} } |
Labusch, M., Keip, M.-A., Kiefer, B. & Schröder, J. (2014), "Computation of Effective Non-linear Inelastic Properties of Magnetostrictive Composites", Proceedings in Applied Mathematics and Mechanics. Vol. 14(1), pp. 559-560. |
BibTeX:
@article{LaKe:2014;Pamm, author = {Labusch, M. and Keip, M.-A. and Kiefer, B. and Schröder, J.}, title = {Computation of Effective Non-linear Inelastic Properties of Magnetostrictive Composites}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, number = {1}, pages = {559--560}, note = {P1 and P7} } |
Schröder, J., Labusch, M., Keip, M.-A., Kiefer, B. & Lupascu, D. (2015), "Computation of Magneto-Electric Product Properties for BTO-CFO 0-3 Composites", GAMM-Mitteilungen. Vol. 38(1), pp. 8-24. |
BibTeX:
@article{SchLaKeKieLup;GAMM, author = {Schröder, J. and Labusch, M. and Keip, M.-A. and Kiefer, B. and Lupascu, D.C.}, title = {Computation of Magneto-Electric Product Properties for BTO-CFO 0-3 Composites}, journal = {GAMM-Mitteilungen}, year = {2015}, volume = {38}, number = {1}, pages = {8--24} } |
Schrade, D., Keip, M.-A., Thai, H., Schröder, J., Svendsen, B., Müller, R. & Gross, D. (2015), "Coordinate-invariant phase-field modeling of ferroelectrics, part I: Model formulation and single-crystal simulations", GAMM-Mitteilungen. Vol. 38(1), pp. 102-114. |
BibTeX:
@article{Schrade2015, author = {Schrade, D. and Keip, M.-A. and Thai, H. and Schröder, J. and Svendsen, B. and Müller, R. and Gross, D.}, title = {Coordinate-invariant phase-field modeling of ferroelectrics, part I: Model formulation and single-crystal simulations}, journal = {GAMM-Mitteilungen}, year = {2015}, volume = {38}, number = {1}, pages = {102--114} } |
Stand: 14.05.2015
Latest results
The overall objective of the first funding period was the developement of a computer-based homogenization method for the simulation of magneto-electric coupled composites on two scales. For the composites two-phase materials were considered, consisting of a magneto- and electro-mechanically coupled phase. These composites generate the desired magneto-electric coupling as a straininduced product property. A central aspect of the research focuses on the determination of effective tangent moduli, which automatically yield the effective magneto-electric coefficient. For the investigated composites experimentally created microstructures of project P2 (Lupascu) have been employed. Corresponding simulations showed, that the consideration of linear material behaviors of the single phases could not yield satisfactory accordances with experimental data. Due to the consideration of dissipative material behaviors for the magneto- as well as electro-mechanically phase, significant model improvements could be achieved. These were developed in i.a. close coorperations with projects P7 (Kiefer & Bartel) and P3 (Miehe).