ARTICLE
Tuning of the equilibrated residual method for applications in general, direct and inverse piezoelectricity
1
Institute of Fluid Flow Machinery, Polish Academy of Sciences, Gdansk, Poland
2
University of Warmia and Mazury, Faculty of Technical Sciences, Olsztyn, Poland
Submission date: 2023-10-29
Acceptance date: 2023-12-11
Online publication date: 2024-03-10
Publication date: 2024-04-30
Corresponding author
Grzegorz Zboiński
Department of Mechanics of Intelligent Structures, Polish Academy of Sciences, Institute of Fluid Flow Machinery, Fiszera 14, 80-231, Gdańsk, Poland
Department of Mechanics of Intelligent Structures, Polish Academy of Sciences, Institute of Fluid Flow Machinery, Fiszera 14, 80-231, Gdańsk, Poland
Journal of Theoretical and Applied Mechanics 2024;62(2):219-230
KEYWORDS
coupled problemspiezoelectricityfinite element methoda posteriori error estimationequilibrated residual method
TOPICS
ABSTRACT
This paper presents application and tuning of the equilibrated residual method (ERM) of
a posteriori error estimation for coupled electromechanical problems of direct, inverse and
general piezoelectricity. In these three cases, either electric potential is induced by strains or
strains appear due to the applied electric potential or both phenomena occur simultaneously.
The mentioned ERM is assigned for the assessment of modeling and approximation errors of
the numerical finite element solution. Such error values usually serve as indication for adaptive
hierarchical modeling and adaptive mesh changes within thin and/or solid piezoelectric
members so as to obtain the solution of assumed accuracy.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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