Modelling of multilayered piezoelectric composites / Claire David.

Format:

Book

Author/Creator:

David, Claire, 1971-

Series:

Novinka (Series)

Novinka

Language:

English

Subjects (All):

Piezoelectric materials.

Composite materials--Mathematical models.

Composite materials.

Physical Description:

1 online resource (85 p.)

Edition:

1st ed.

Place of Publication:

New York : Nova Science Publishers, c2008.

Language Note:

English

Summary:

The authors hereafter study the modelling of composite multi-layered piezoelectric plates. Their theory is based on an hybrid approach, where the mechanical and electrical continuity conditions are satisfied, as well as the boundary conditions on the top and bottom surfaces of the structure. The accuracy of the proposed theory is assessed through investigation of significant problems, for which an exact three-dimensional solution is known.

Contents:

Intro

MODELLING OF MULTILAYERED PIEZOELECTRIC COMPOSITES

CONTENTS

PREFACE

MULTILAYERED PIEZOELECTRIC PLATES

1.1. INTRODUCTION

1.2. MECHANICAL STUDY

1.2.1. Kinematic Assumptions

1.2.2. Voigt Notation

1.2.3. Uncoupled Constitutive Equations

1.3. BOUNDARY CONDITIONS

1.4. FINAL FORM OF THE KINEMATIC FIELD

1.5. ELECTRICAL STUDY

1.5.1. Electrical Assumptions

1.5.2. Uncoupled Piezoelectric Constitutive Law

1.5.3. Electric Boundary Conditions

1.6. HOW TO TAKE THE COUPLING INTO ACCOUNT THE NEED OF SOME CORRECTION FACTORS

1.7. THE LINEAR PIEZOELECTRIC CONSTITUTIVE LAW

1.7.1. Tiersten Equations

1.7.2. Two-Dimensional Coefficients

1.8. THE TWO-DIMENSIONAL BOUNDARY PROBLEM

1.8.1. Variational Formulation

1.9. NUMERICAL VALIDATION OF THE PIEZOELECTRIC PLATE MODEL

1.9.1. Free Vibrations of a Single-Layered Plate

1.9.2. Free Vibrations of a 5-Layered Plate

1.10. APPLICATIONS OF THE PIEZOELECTRIC PLATE MODEL

1.10.1. Bimorph Plate under Mechanical Loading

1.10.2. Bimorph Plate with Imposed Potentials

MULTILAYERED PIEZOELECTRIC SHELLS MODELLING

2.1. INTRODUCTION

2.2. MECHANICAL STUDY

2.2.1. Geometric Considerations for Shells

2.3. KINEMATIC ASSUMPTIONS

2.4. UNCOUPLED CONSTITUTIVE LAW

2.5. BOUNDARY CONDITIONS

2.6. FINAL FORM OF THE DISPLACEMENT FIELD

2.7. ELECTRICAL STUDY

THE LINEAR PIEZOELECTRIC CONSTITUTIVE LAW

2.8. THE TWO-DIMENSIONAL BOUNDARY-VALUE PROBLEM

2.8.1. Variational Formulation

2.9. NUMERICAL VALIDATION OF THE PIEZOELECTRIC SHELL MODEL

2.9.1. Associated Plate Model

2.9.2. Free Vibrations of an Orthotropic Cylindrical Panel

2.10. APPLICATIONS OF THE MULTILAYERED PIEZOELECTRIC SHELL MODEL

2.10.1. Bimorph Shell

2.10.2. Three-Layered Shell, Submitted to a Force Density.

2.11. CONCLUSION

ACKNOWLEDGMENT

REFERENCES

Untitled.

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [68]-72) and index.

ISBN:

1-61470-329-9

OCLC:

759112740