Convolution finite element method for analysis of piezoelectric materials

A. Amiri-Hezaveh; H. Moghaddasi; M. Ostoja-Starzewski

doi:10.1016/j.cma.2022.115463

Convolution finite element method for analysis of piezoelectric materials

A. Amiri-Hezaveh, H. Moghaddasi, M. Ostoja-Starzewski

Research output: Contribution to journal › Article › peer-review

Abstract

A new finite element scheme is proposed to analyze the elastodynamics of materials having interactions between electrical and mechanical fields. Based on coupled constitutive equations and the alternative field equations, a new form of weighted residual in terms of the convolution product is established. Next, the Galerkin formulation is utilized with a particular form of spatial–temporal shape functions. High precision for arbitrary time intervals can be attained by reducing the integral forms to a set of algebraic equations. To show the accuracy of the proposed method, several examples, including elastodynamics of 1d and 2d piezoelectric materials under various initial and boundary conditions are presented. The present contribution introduces a new solution procedure for the analysis and design of active materials.

Original language	English (US)
Article number	115463
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	400
DOIs	https://doi.org/10.1016/j.cma.2022.115463
State	Published - Oct 1 2022

Keywords

Convolution finite element method
Elastodynamics
Piezoelectric materials

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2022.115463

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title = "Convolution finite element method for analysis of piezoelectric materials",

abstract = "A new finite element scheme is proposed to analyze the elastodynamics of materials having interactions between electrical and mechanical fields. Based on coupled constitutive equations and the alternative field equations, a new form of weighted residual in terms of the convolution product is established. Next, the Galerkin formulation is utilized with a particular form of spatial–temporal shape functions. High precision for arbitrary time intervals can be attained by reducing the integral forms to a set of algebraic equations. To show the accuracy of the proposed method, several examples, including elastodynamics of 1d and 2d piezoelectric materials under various initial and boundary conditions are presented. The present contribution introduces a new solution procedure for the analysis and design of active materials.",

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T1 - Convolution finite element method for analysis of piezoelectric materials

AU - Amiri-Hezaveh, A.

AU - Moghaddasi, H.

AU - Ostoja-Starzewski, M.

PY - 2022/10/1

Y1 - 2022/10/1

N2 - A new finite element scheme is proposed to analyze the elastodynamics of materials having interactions between electrical and mechanical fields. Based on coupled constitutive equations and the alternative field equations, a new form of weighted residual in terms of the convolution product is established. Next, the Galerkin formulation is utilized with a particular form of spatial–temporal shape functions. High precision for arbitrary time intervals can be attained by reducing the integral forms to a set of algebraic equations. To show the accuracy of the proposed method, several examples, including elastodynamics of 1d and 2d piezoelectric materials under various initial and boundary conditions are presented. The present contribution introduces a new solution procedure for the analysis and design of active materials.

AB - A new finite element scheme is proposed to analyze the elastodynamics of materials having interactions between electrical and mechanical fields. Based on coupled constitutive equations and the alternative field equations, a new form of weighted residual in terms of the convolution product is established. Next, the Galerkin formulation is utilized with a particular form of spatial–temporal shape functions. High precision for arbitrary time intervals can be attained by reducing the integral forms to a set of algebraic equations. To show the accuracy of the proposed method, several examples, including elastodynamics of 1d and 2d piezoelectric materials under various initial and boundary conditions are presented. The present contribution introduces a new solution procedure for the analysis and design of active materials.

KW - Convolution finite element method

KW - Elastodynamics

KW - Piezoelectric materials

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Convolution finite element method for analysis of piezoelectric materials

Abstract

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