Dynamic Fracture of Piezoelectric Materials: Solution of Time-Harmonic Problems Via Biem

ISBN-13: 9783319378138 / Angielski / Miękka / 2016 / 249 str.

Petia Dineva; Dietmar Gross; Ralf Muller

Opis

This book offers a step-by-step tutorial for the application of the Boundary Integral Equation Method in mechanics. Two major parts of the book are devoted to the solution of problems in homogeneous and inhomogeneous solids.

Recenzje

From the book reviews:

"The book is heavily oriented toward applications with technological interest-piezoelectric materials are, in fact, largely used to construct resonators, sensors, and actuators-and as such it can surely be useful for readers interested in pursuing similar analyses or extending them to more intricate cases than those considered in the various chapters." (Paolo Maria Mariano, Mathematical Reviews, November, 2014)

Spis treści

1 Introduction

Part I Theoretical basics
2 Piezoelectric materials
3 Fundamental solutions
4 Numerical realization by BIEM

Part II Homogeneous PEM
5 Steady-state problems in a cracked anisotropic domain
6 2D wave scattering by cracks in a piezoelectric plane
7 Piezoelectric cracked finite solids under time-harmonic loading
8 Dynamic crack interaction in piezoelectric and anisotropic solids
9 Different electric boundary conditions

Part III Functionally graded PEM

10 In-plane crack problems in functionally graded piezoelectric solids
11 Functionally graded piezoelectric media with a single anti-plane crack
12 Multiple anti-plane cracks in quadratically inhomogeneous piezoelectric finite solids
13 Anti-plane cracks in exponentially inhomogeneous finite piezoelectric solid
14 Exponentially inhomogeneous piezoelectric solid with a circular anti-plane hole
15 Anti-plane dynamic crack–hole interaction in a functionally graded piezoelectric medium

Index

Blurb

Dynamic Fracture of Piezoelectric Materials focuses on the Boundary Integral Equation Method as an efficient computational tool. The presentation of the theoretical basis of piezoelectricity is followed by sections on fundamental solutions and the numerical realization of the boundary value problems. Two major parts of the book are devoted to the solution of problems in homogeneous and inhomogeneous solids. The book includes contributions on coupled electro-mechanical models,computational methods, its validation and the simulation results, which reveal different effects useful for engineering design and practice. The book is self-contained and well-illustrated, and it serves as a graduate-level textbook or as extra reading material for students and researchers.