Tuning of the equilibrated residual method for applications in general, direct and inverse piezoelectricity

• Autorzy: Zboiński Grzegorz

Identyfikatory

DOI

10.15632/jtam-pl/184626

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

coupled problems; piezoelectricity; finite element method; posteriori error estimation; equilibrated residual method

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2024
• Tom: Vol. 62 nr 2
• Strony: 219--230
• Opis fizyczny: Bibliogr. 22 poz., tab.

Twórcy

autor

Zboiński Grzegorz

• Institute of Fluid Flow Machinery, Polish Academy of Sciences, Gdansk, Poland
• University of Warmia and Mazury, Faculty of Technical Sciences, Olsztyn, Poland

Bibliografia

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• 18. Zboiński G, 2013, Adaptive hpq finite element methods for the analysis of 3D-based models of complex structures. Part 2. A posteriori error estimation, Computer Methods in Applied Mechanics and Engineering, 267, 531-565.
• 19. Zboiński G., 2016, Problems of hierarchical modeling and hp-adaptive finite element analysis in elasticity, dielectricity and piezoelectricity, [In:] Perusal of the Finite Element Method. R. Petrova (Ed.), InTech, Rijeka (Croatia), 1-29.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).