---
_id: '65785'
abstract:
- lang: eng
text: Simulation-based design of high-power ultrasonic systems depends on the accurate
modelling of the electromechanical behaviour of piezoceramic materials. In practical
transducer applications, the relevant operating points are influenced by mechanical
preload and heating, both of which give rise to changes in the elastic, dielectric,
and piezoelectric material properties. Material parameters identified under idealised,
unloaded conditions are therefore insufficient to represent piezoceramic material
behaviour under realistic operating conditions. To overcome this limitation, experimental
setups are developed that enable the measurement of electrical impedance spectra
under controlled thermal and mechanical conditions. The acquired impedance data
are used in an inverse identification procedure, in which the behaviour of a finite
element forward model is iteratively fitted to the measurements using a block
coordinate descent optimisation strategy guided by a sensitivity analysis. This
yields effective linear material parameters as a function of temperature and mechanical
stress at varying operating points. The identified temperature-dependent parameters,
for instance, can be employed in a coupled thermo-electromechanical simulation
framework to predict the temperature-dependent material behaviour during operation.
The linear identification based on varying operation points provides an initial
approximation of the nonlinear material response, establishing a basis for the
development of corresponding nonlinear material models.
author:
- first_name: Olga
full_name: Friesen, Olga
id: '44026'
last_name: Friesen
orcid: 0009-0007-5598-9484
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Jonas
full_name: Hölscher, Jonas
id: '73952'
last_name: Hölscher
- first_name: Bernd
full_name: Henning, Bernd
id: '213'
last_name: Henning
- first_name: Claus
full_name: Scheidemann, Claus
id: '38259'
last_name: Scheidemann
- first_name: Tobias
full_name: Hemsel, Tobias
id: '210'
last_name: Hemsel
- first_name: Raphael
full_name: Kuess, Raphael
last_name: Kuess
- first_name: Andrea
full_name: Walther, Andrea
last_name: Walther
- first_name: Carsten
full_name: Spieker, Carsten
id: '67587'
last_name: Spieker
- first_name: Jens
full_name: Förstner, Jens
id: '158'
last_name: Förstner
orcid: 0000-0001-7059-9862
citation:
ama: Friesen O, Claes L, Hölscher J, et al. Measurement of multiphysical material
parameters of piezoceramic components for high-power ultrasonic applications.
tm - Technisches Messen. Published online 2026. doi:10.1515/teme-2026-0042
apa: Friesen, O., Claes, L., Hölscher, J., Henning, B., Scheidemann, C., Hemsel,
T., Kuess, R., Walther, A., Spieker, C., & Förstner, J. (2026). Measurement
of multiphysical material parameters of piezoceramic components for high-power
ultrasonic applications. Tm - Technisches Messen. https://doi.org/10.1515/teme-2026-0042
bibtex: '@article{Friesen_Claes_Hölscher_Henning_Scheidemann_Hemsel_Kuess_Walther_Spieker_Förstner_2026,
title={Measurement of multiphysical material parameters of piezoceramic components
for high-power ultrasonic applications}, DOI={10.1515/teme-2026-0042},
journal={tm - Technisches Messen}, publisher={Walter de Gruyter GmbH}, author={Friesen,
Olga and Claes, Leander and Hölscher, Jonas and Henning, Bernd and Scheidemann,
Claus and Hemsel, Tobias and Kuess, Raphael and Walther, Andrea and Spieker, Carsten
and Förstner, Jens}, year={2026} }'
chicago: Friesen, Olga, Leander Claes, Jonas Hölscher, Bernd Henning, Claus Scheidemann,
Tobias Hemsel, Raphael Kuess, Andrea Walther, Carsten Spieker, and Jens Förstner.
“Measurement of Multiphysical Material Parameters of Piezoceramic Components for High-Power
Ultrasonic Applications.” Tm - Technisches Messen, 2026. https://doi.org/10.1515/teme-2026-0042.
ieee: 'O. Friesen et al., “Measurement of multiphysical material parameters
of piezoceramic components for high-power ultrasonic applications,” tm - Technisches
Messen, 2026, doi: 10.1515/teme-2026-0042.'
mla: Friesen, Olga, et al. “Measurement of Multiphysical Material Parameters of Piezoceramic
Components for High-Power Ultrasonic Applications.” Tm - Technisches Messen,
Walter de Gruyter GmbH, 2026, doi:10.1515/teme-2026-0042.
short: O. Friesen, L. Claes, J. Hölscher, B. Henning, C. Scheidemann, T. Hemsel,
R. Kuess, A. Walther, C. Spieker, J. Förstner, Tm - Technisches Messen (2026).
date_created: 2026-06-08T05:44:09Z
date_updated: 2026-06-08T17:54:45Z
department:
- _id: '49'
doi: 10.1515/teme-2026-0042
keyword:
- tet_topic_piezo
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: tm - Technisches Messen
publication_identifier:
issn:
- 0171-8096
- 2196-7113
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Measurement of multiphysical material parameters of piezoceramic components
for high-power ultrasonic applications
type: journal_article
user_id: '158'
year: '2026'
...
---
_id: '65588'
author:
- first_name: Carsten
full_name: Spieker, Carsten
id: '67587'
last_name: Spieker
- first_name: Raphael
full_name: Kuess, Raphael
last_name: Kuess
- first_name: Andrea
full_name: Walther, Andrea
last_name: Walther
- first_name: Jens
full_name: Förstner, Jens
id: '158'
last_name: Förstner
orcid: 0000-0001-7059-9862
citation:
ama: 'Spieker C, Kuess R, Walther A, Förstner J. Modellierung und Simulation des
temperaturabhängigen Materialverhaltens von Piezokeramiken mit FEniCS. In: Deutsche
Gesellschaft für Akustik e.V., ed. Fortschritte Der Akustik - DAGA 2026.
; 2026:1066–1069. doi:10.71568/DAGA2026.549'
apa: Spieker, C., Kuess, R., Walther, A., & Förstner, J. (2026). Modellierung
und Simulation des temperaturabhängigen Materialverhaltens von Piezokeramiken
mit FEniCS. In Deutsche Gesellschaft für Akustik e.V. (Ed.), Fortschritte der
Akustik - DAGA 2026 (pp. 1066–1069). https://doi.org/10.71568/DAGA2026.549
bibtex: '@inproceedings{Spieker_Kuess_Walther_Förstner_2026, title={Modellierung
und Simulation des temperaturabhängigen Materialverhaltens von Piezokeramiken
mit FEniCS}, DOI={10.71568/DAGA2026.549},
booktitle={Fortschritte der Akustik - DAGA 2026}, author={Spieker, Carsten and
Kuess, Raphael and Walther, Andrea and Förstner, Jens}, editor={Deutsche Gesellschaft
für Akustik e.V.}, year={2026}, pages={1066–1069} }'
chicago: Spieker, Carsten, Raphael Kuess, Andrea Walther, and Jens Förstner. “Modellierung
Und Simulation Des Temperaturabhängigen Materialverhaltens von Piezokeramiken
Mit FEniCS.” In Fortschritte Der Akustik - DAGA 2026, edited by Deutsche
Gesellschaft für Akustik e.V., 1066–1069, 2026. https://doi.org/10.71568/DAGA2026.549.
ieee: 'C. Spieker, R. Kuess, A. Walther, and J. Förstner, “Modellierung und Simulation
des temperaturabhängigen Materialverhaltens von Piezokeramiken mit FEniCS,” in
Fortschritte der Akustik - DAGA 2026, 2026, pp. 1066–1069, doi: 10.71568/DAGA2026.549.'
mla: Spieker, Carsten, et al. “Modellierung Und Simulation Des Temperaturabhängigen
Materialverhaltens von Piezokeramiken Mit FEniCS.” Fortschritte Der Akustik
- DAGA 2026, edited by Deutsche Gesellschaft für Akustik e.V., 2026, pp. 1066–1069,
doi:10.71568/DAGA2026.549.
short: 'C. Spieker, R. Kuess, A. Walther, J. Förstner, in: Deutsche Gesellschaft
für Akustik e.V. (Ed.), Fortschritte Der Akustik - DAGA 2026, 2026, pp. 1066–1069.'
corporate_editor:
- Deutsche Gesellschaft für Akustik e.V.
date_created: 2026-05-08T12:37:35Z
date_updated: 2026-06-08T17:55:18Z
department:
- _id: '61'
doi: 10.71568/DAGA2026.549
keyword:
- tet_topic_piezo
language:
- iso: eng
page: 1066–1069
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Fortschritte der Akustik - DAGA 2026
status: public
title: Modellierung und Simulation des temperaturabhängigen Materialverhaltens von
Piezokeramiken mit FEniCS
type: conference
user_id: '158'
year: '2026'
...
---
_id: '62297'
author:
- first_name: Jonas
full_name: Hölscher, Jonas
id: '73952'
last_name: Hölscher
- first_name: Olga
full_name: Friesen, Olga
id: '44026'
last_name: Friesen
orcid: 0009-0007-5598-9484
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Carsten
full_name: Spieker, Carsten
id: '67587'
last_name: Spieker
- first_name: Jens
full_name: Förstner, Jens
id: '158'
last_name: Förstner
orcid: 0000-0001-7059-9862
- first_name: Bernd
full_name: Henning, Bernd
id: '213'
last_name: Henning
citation:
ama: 'Hölscher J, Friesen O, Claes L, Spieker C, Förstner J, Henning B. Multiscale
thermo-piezoelectric simulations using the finite element method. In: 2025
International Congress on Ultrasonics. AMA Service GmbH; 2025:130–133. doi:10.5162/ultrasonic2025/a18-a2'
apa: Hölscher, J., Friesen, O., Claes, L., Spieker, C., Förstner, J., & Henning,
B. (2025). Multiscale thermo-piezoelectric simulations using the finite element
method. 2025 International Congress on Ultrasonics, 130–133. https://doi.org/10.5162/ultrasonic2025/a18-a2
bibtex: '@inproceedings{Hölscher_Friesen_Claes_Spieker_Förstner_Henning_2025, place={Paderborn},
title={Multiscale thermo-piezoelectric simulations using the finite element method},
DOI={10.5162/ultrasonic2025/a18-a2},
booktitle={2025 International Congress on Ultrasonics}, publisher={AMA Service
GmbH}, author={Hölscher, Jonas and Friesen, Olga and Claes, Leander and Spieker,
Carsten and Förstner, Jens and Henning, Bernd}, year={2025}, pages={130–133} }'
chicago: 'Hölscher, Jonas, Olga Friesen, Leander Claes, Carsten Spieker, Jens Förstner,
and Bernd Henning. “Multiscale Thermo-Piezoelectric Simulations Using the Finite
Element Method.” In 2025 International Congress on Ultrasonics, 130–133.
Paderborn: AMA Service GmbH, 2025. https://doi.org/10.5162/ultrasonic2025/a18-a2.'
ieee: 'J. Hölscher, O. Friesen, L. Claes, C. Spieker, J. Förstner, and B. Henning,
“Multiscale thermo-piezoelectric simulations using the finite element method,”
in 2025 International Congress on Ultrasonics, 2025, pp. 130–133, doi:
10.5162/ultrasonic2025/a18-a2.'
mla: Hölscher, Jonas, et al. “Multiscale Thermo-Piezoelectric Simulations Using
the Finite Element Method.” 2025 International Congress on Ultrasonics,
AMA Service GmbH, 2025, pp. 130–133, doi:10.5162/ultrasonic2025/a18-a2.
short: 'J. Hölscher, O. Friesen, L. Claes, C. Spieker, J. Förstner, B. Henning,
in: 2025 International Congress on Ultrasonics, AMA Service GmbH, Paderborn, 2025,
pp. 130–133.'
date_created: 2025-11-25T12:23:06Z
date_updated: 2026-06-08T17:55:35Z
department:
- _id: '49'
- _id: '61'
doi: 10.5162/ultrasonic2025/a18-a2
keyword:
- tet_topic_piezo
language:
- iso: eng
page: 130–133
place: Paderborn
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: 2025 International Congress on Ultrasonics
publisher: AMA Service GmbH
status: public
title: Multiscale thermo-piezoelectric simulations using the finite element method
type: conference
user_id: '158'
year: '2025'
...
---
_id: '62296'
author:
- first_name: Carsten
full_name: Spieker, Carsten
id: '67587'
last_name: Spieker
- first_name: Jens
full_name: Förstner, Jens
id: '158'
last_name: Förstner
orcid: 0000-0001-7059-9862
- first_name: Jonas
full_name: Hölscher, Jonas
id: '73952'
last_name: Hölscher
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Bernd
full_name: Henning, Bernd
id: '213'
last_name: Henning
citation:
ama: 'Spieker C, Förstner J, Hölscher J, Claes L, Henning B. Modeling and simulation
of the behavior of piezoceramics with the discontinuous Galerkin method. In: 2025
International Congress on Ultrasonics. AMA Service GmbH; 2025:126–129. doi:10.5162/ultrasonic2025/a18-a1'
apa: Spieker, C., Förstner, J., Hölscher, J., Claes, L., & Henning, B. (2025).
Modeling and simulation of the behavior of piezoceramics with the discontinuous
Galerkin method. 2025 International Congress on Ultrasonics, 126–129. https://doi.org/10.5162/ultrasonic2025/a18-a1
bibtex: '@inproceedings{Spieker_Förstner_Hölscher_Claes_Henning_2025, place={Paderborn},
title={Modeling and simulation of the behavior of piezoceramics with the discontinuous
Galerkin method}, DOI={10.5162/ultrasonic2025/a18-a1},
booktitle={2025 International Congress on Ultrasonics}, publisher={AMA Service
GmbH}, author={Spieker, Carsten and Förstner, Jens and Hölscher, Jonas and Claes,
Leander and Henning, Bernd}, year={2025}, pages={126–129} }'
chicago: 'Spieker, Carsten, Jens Förstner, Jonas Hölscher, Leander Claes, and Bernd
Henning. “Modeling and Simulation of the Behavior of Piezoceramics with the Discontinuous
Galerkin Method.” In 2025 International Congress on Ultrasonics, 126–129.
Paderborn: AMA Service GmbH, 2025. https://doi.org/10.5162/ultrasonic2025/a18-a1.'
ieee: 'C. Spieker, J. Förstner, J. Hölscher, L. Claes, and B. Henning, “Modeling
and simulation of the behavior of piezoceramics with the discontinuous Galerkin
method,” in 2025 International Congress on Ultrasonics, 2025, pp. 126–129,
doi: 10.5162/ultrasonic2025/a18-a1.'
mla: Spieker, Carsten, et al. “Modeling and Simulation of the Behavior of Piezoceramics
with the Discontinuous Galerkin Method.” 2025 International Congress on Ultrasonics,
AMA Service GmbH, 2025, pp. 126–129, doi:10.5162/ultrasonic2025/a18-a1.
short: 'C. Spieker, J. Förstner, J. Hölscher, L. Claes, B. Henning, in: 2025 International
Congress on Ultrasonics, AMA Service GmbH, Paderborn, 2025, pp. 126–129.'
date_created: 2025-11-25T12:23:05Z
date_updated: 2026-06-08T17:55:26Z
department:
- _id: '49'
- _id: '61'
doi: 10.5162/ultrasonic2025/a18-a1
keyword:
- tet_topic_piezo
language:
- iso: eng
page: 126–129
place: Paderborn
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: 2025 International Congress on Ultrasonics
publisher: AMA Service GmbH
status: public
title: Modeling and simulation of the behavior of piezoceramics with the discontinuous
Galerkin method
type: conference
user_id: '158'
year: '2025'
...