Publication detail

Modeling of electromechanical response and fracture resistance of multilayer piezoelectric energy harvester with residual stresses

MACHŮ, Z. ŠEVEČEK, O. HADAŠ, Z. KOTOUL, M.

Original Title

Modeling of electromechanical response and fracture resistance of multilayer piezoelectric energy harvester with residual stresses

English Title

Modeling of electromechanical response and fracture resistance of multilayer piezoelectric energy harvester with residual stresses

Type

journal article in Web of Science

Language

en

Original Abstract

The paper focuses on a modelling and subsequent optimization of a novel layered architecture of the vibration piezo-ceramic energy harvester composed of ZrO2/Al2O3/BaTiO3 layers and containing thermal residual stresses. The developed analytical/numerical model allows to determine the complete electromechanical response and the apparent fracture toughness of the multilayer vibration energy harvester, upon consideration of thermal residual stresses and time-harmonic kinematic excitation. The derived model utilizes the Euler-Bernoulli beam theory, Hamilton’s variational principle and a classical laminate theory to determine the first natural frequency, steady-state electromechanical response of the beam upon harmonic vibrations and also mechanical stresses within particular layers of the harvester. The laminate apparent fracture toughness is computed by means of the weight function approach. A crucial point is further an optimization of the layered architecture from both the electro-mechanical response and the fracture resistance point of view. Maximal allowable excitation acceleration of the harvester upon which the piezoelectric layer will not fail is determined. It makes possible to better utilize the harvester´s capabilities in a given application and simultaneously guarantee its safe operation. Outputs of the derived analytical model were validated with FEM simulations and available experimental results and a good agreement between all approaches was obtained.

English abstract

The paper focuses on a modelling and subsequent optimization of a novel layered architecture of the vibration piezo-ceramic energy harvester composed of ZrO2/Al2O3/BaTiO3 layers and containing thermal residual stresses. The developed analytical/numerical model allows to determine the complete electromechanical response and the apparent fracture toughness of the multilayer vibration energy harvester, upon consideration of thermal residual stresses and time-harmonic kinematic excitation. The derived model utilizes the Euler-Bernoulli beam theory, Hamilton’s variational principle and a classical laminate theory to determine the first natural frequency, steady-state electromechanical response of the beam upon harmonic vibrations and also mechanical stresses within particular layers of the harvester. The laminate apparent fracture toughness is computed by means of the weight function approach. A crucial point is further an optimization of the layered architecture from both the electro-mechanical response and the fracture resistance point of view. Maximal allowable excitation acceleration of the harvester upon which the piezoelectric layer will not fail is determined. It makes possible to better utilize the harvester´s capabilities in a given application and simultaneously guarantee its safe operation. Outputs of the derived analytical model were validated with FEM simulations and available experimental results and a good agreement between all approaches was obtained.

Keywords

ceramic laminate; piezoelectricity; FE model; classical laminate theory; vibrations; energy harvesting; optimization; fracture resistance

Released

01.11.2020

Publisher

SAGE Publications Ltd

Location

Velká Británie

ISBN

1530-8138

Periodical

JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES

Year of study

31

Number

19

State

GB

Pages from

2261

Pages to

2287

Pages count

27

URL

Documents

BibTex


@article{BUT164670,
  author="Zdeněk {Machů} and Oldřich {Ševeček} and Zdeněk {Hadaš} and Michal {Kotoul}",
  title="Modeling of electromechanical response and fracture resistance of multilayer piezoelectric energy harvester with residual stresses",
  annote="The paper focuses on a modelling and subsequent optimization of a novel layered architecture of the vibration piezo-ceramic energy harvester composed of ZrO2/Al2O3/BaTiO3 layers and containing thermal residual stresses. The developed analytical/numerical model allows to determine the complete electromechanical response and the apparent fracture toughness of the multilayer vibration energy harvester, upon consideration of thermal residual stresses and time-harmonic kinematic excitation. The derived model utilizes the Euler-Bernoulli beam theory, Hamilton’s variational principle and a classical laminate theory to determine the first natural frequency, steady-state electromechanical response of the beam upon harmonic vibrations and also mechanical stresses within particular layers of the harvester. The laminate apparent fracture toughness is computed by means of the weight function approach. A crucial point is further an optimization of the layered architecture from both the electro-mechanical response and the fracture resistance point of view. Maximal allowable excitation acceleration of the harvester upon which the piezoelectric layer will not fail is determined. It makes possible to better utilize the harvester´s capabilities in a given application and simultaneously guarantee its safe operation. Outputs of the derived analytical model were validated with FEM simulations and available experimental results and a good agreement between all approaches was obtained.",
  address="SAGE Publications Ltd",
  chapter="164670",
  doi="10.1177/1045389X20942832",
  howpublished="online",
  institution="SAGE Publications Ltd",
  number="19",
  volume="31",
  year="2020",
  month="november",
  pages="2261--2287",
  publisher="SAGE Publications Ltd",
  type="journal article in Web of Science"
}