Fracture Mechanics of Piezoelectric Solids with Interface Cracks
Fracture Mechanics of Piezoelectric Solids with Interface Cracks

Author: Volodymyr Govorukha

Publisher: Springer

Published: 2017-03-14

Total Pages: 239

ISBN-13: 3319535536

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This book provides a comprehensive study of cracks situated at the interface of two piezoelectric materials. It discusses different electric boundary conditions along the crack faces, in particular the cases of electrically permeable, impermeable, partially permeable, and conducting cracks. The book also elaborates on a new technique for the determination of electromechanical fields at the tips of interface cracks in finite sized piezoceramic bodies of arbitrary shape under different load types. It solves scientific problems of solid mechanics in connection with the investigation of electromechanical fields in piezoceramic bodies with interface cracks, and develops calculation models and solution methods for plane fracture mechanical problems for piecewise homogeneous piezoceramic bodies with cracks at the interfaces. It discusses the “open” crack model, which leads to a physically unrealistic oscillating singularity at the crack tips, and the contact zone model for in-plane straight interface cracks between two dissimilar piezoelectric materials. It also investigates the model of a crack with electro-mechanical pre-fracture zones. The formulated problems are reduced to problems of linear relationship, which correspond to different crack models, and their exact analytical solutions are found. The book presents in detail the expressions for stress and electric displacement intensity factors, as well as for the energy release rate. The influence of the electric permittivity of the crack, the mechanical load and the electric field upon the electro-elastic state, as well as the main fracture mechanical parameters, are analyzed and clearly illustrated. This book addresses postgraduate students, university teachers and researchers dealing with the problems of fracture mechanics of piezoelectric materials, as well as engineers who are active in the analysis of strength and durability of piezoelectric constructions.

Fracture Mechanics of Piezoelectric and Ferroelectric Solids
Fracture Mechanics of Piezoelectric and Ferroelectric Solids

Author: Daining Fang

Publisher: Springer Science & Business Media

Published: 2014-12-12

Total Pages: 430

ISBN-13: 3642300871

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Fracture Mechanics of Piezoelectric and Ferroelectric Solids presents a systematic and comprehensive coverage of the fracture mechanics of piezoelectric/ferroelectric materials, which includes the theoretical analysis, numerical computations and experimental observations. The main emphasis is placed on the mechanics description of various crack problems such static, dynamic and interface fractures as well as the physical explanations for the mechanism of electrically induced fracture. The book is intended for postgraduate students, researchers and engineers in the fields of solid mechanics, applied physics, material science and mechanical engineering. Dr. Daining Fang is a professor at the School of Aerospace, Tsinghua University, China; Dr. Jinxi Liu is a professor at the Department of Engineering Mechanics, Shijiazhuang Railway Institute, China.

Modern Theory of Anisotropic Elasticity and Applications
Modern Theory of Anisotropic Elasticity and Applications

Author: Julian J. Wu

Publisher: SIAM

Published: 1991-01-01

Total Pages: 394

ISBN-13: 9780898712896

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A selection of 26 original papers, some of them substantially revised after the workshop, discuss anisotropic elasticity and its applications in solid mechanics and applied mathematics. Considering elastostatics, elastodynamics, and constitutive relations, they discuss such topics as Green's functio

Mechanics and Physics of Structured Media
Mechanics and Physics of Structured Media

Author: Igor Andrianov

Publisher: Academic Press

Published: 2022-01-20

Total Pages: 528

ISBN-13: 0323906532

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Mechanics and Physics of Structured Media: Asymptotic and Integral Methods of Leonid Filshtinsky provides unique information on the macroscopic properties of various composite materials and the mathematical techniques key to understanding their physical behaviors. The book is centered around the arguably monumental work of Leonid Filshtinsky. His last works provide insight on fracture in electromagnetic-elastic systems alongside approaches for solving problems in mechanics of solid materials. Asymptotic methods, the method of complex potentials, wave mechanics, viscosity of suspensions, conductivity, vibration and buckling of functionally graded plates, and critical phenomena in various random systems are all covered at length. Other sections cover boundary value problems in fracture mechanics, two-phase model methods for heterogeneous nanomaterials, and the propagation of acoustic, electromagnetic, and elastic waves in a one-dimensional periodic two-component material. - Covers key issues around the mechanics of structured media, including modeling techniques, fracture mechanics in various composite materials, the fundamentals of integral equations, wave mechanics, and more - Discusses boundary value problems of materials, techniques for predicting elasticity of composites, and heterogeneous nanomaterials and their statistical description - Includes insights on asymptotic methods, wave mechanics, the mechanics of piezo-materials, and more - Applies homogenization concepts to various physical systems

Fracture Mechanics of Electrically Passive and Active Composites with Periodic Cracking along the Interface
Fracture Mechanics of Electrically Passive and Active Composites with Periodic Cracking along the Interface

Author: Sergey Kozinov

Publisher: Springer Nature

Published: 2020-03-21

Total Pages: 135

ISBN-13: 303043138X

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This book offers a comprehensive and timely review of the fracture behavior of bimaterial composites consisting of periodically connected components, i.e. of bimaterial composites possessing periodical cracks along the interface. It first presents an overview of the literature, and then analyzes the isotropic, anisotropic and piezoelectric/dielectric properties of bimaterial components, gradually increasing the difficulty of the solutions discussed up to the coupled electromechanical problems. While in the case of isotropic and anisotropic materials it covers the problems generated by an arbitrary set of cracks, for the piezoelectric materials it focuses on studying the influence of the electric permittivity of the crack’s filler, using not only a simple, fully electrically permeable model, but also a physically realistic, semi-permeable model. Throughout the analyses, the effects of the contact of the crack faces are taken into account so as to exclude the physically unrealistic interpenetration of the composite components that are typical of the classical open model. Further, the book derives and examines the mechanical and electromechanical fields, stress and electric intensity factors in detail. Providing extensive information on the fracture processes taking place in composite materials, the book helps readers become familiar with mathematical methods of complex function theory for obtaining exact analytical solutions.

Fracture Mechanics of Piezoelectric Materials
Fracture Mechanics of Piezoelectric Materials

Author: Qing-Hua Qin

Publisher: Witpress

Published: 2001

Total Pages: 308

ISBN-13:

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Written with the aim of encouraging further development of the fracture mechanics of coupled thermo-electro-elastic problems, this monograph examines crack problems in piezoelectric materials. Emphasis is placed on fundamental concepts, the development of mathematical models and their computational solutions. The methods are described and derived in a way which makes them more accessible to postgraduate students, research scientists and engineers.

Recent Trends in Fracture and Damage Mechanics
Recent Trends in Fracture and Damage Mechanics

Author: Geralf Hütter

Publisher: Springer

Published: 2015-09-01

Total Pages: 438

ISBN-13: 3319214675

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This book covers a wide range of topics in fracture and damage mechanics. It presents historical perspectives as well as recent innovative developments, presented by peer reviewed contributions from internationally acknowledged authors. The volume deals with the modeling of fracture and damage in smart materials, current industrial applications of fracture mechanics, and it explores advances in fracture testing methods. In addition, readers will discover trends in the field of local approach to fracture and approaches using analytical mechanics. Scholars in the fields of materials science, engineering and computational science will value this volume which is dedicated to Meinhard Kuna on the occasion of his 65th birthday in 2015. This book incorporates the proceedings of an international symposium that was organized to honor Meinhard Kuna’s contributions to the field of theoretical and applied fracture and damage mechanics.

Advances in Applied Mechanics
Advances in Applied Mechanics

Author: Erik van der Giessen

Publisher: Gulf Professional Publishing

Published: 2003-07

Total Pages: 352

ISBN-13: 9780120020393

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The major developments in the field of fluid and solid mechanics are scattered throughout an array of scientific journals, making it often difficult to find what the real advances are, especially for a researcher new to the field. The Advances in Applied Mechanics book series draws together the recent significant advances in various topics in applied mechanics. Published since 1948, Advances in Applied Mechanics aims to provide authoritative review articles on topics in the mechanical sciences, primarily of interest to scientists and engineers working in the various branches of mechanics, but also of interest to the many who use the results of investigation in mechanics and various application areas. Advances in Applied Mechanics continues to be a publication of high impact. Review articles are provided by leading scientists in the field on an invitation only basis. Many of the articles published have become classics within their fields. Volume 39 in the Mechanics series contains articles on vortex dynamics, the numerical simulation of two-phase flows, environmental problems in China, and piezoelectrics.

Advances in Conservation Laws and Energy Release Rates
Advances in Conservation Laws and Energy Release Rates

Author: Yi-Heng Chen

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 313

ISBN-13: 9401599084

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This book summarizes two significant tendencies for application of conservation laws and energy release rates. The first is to establish a bridge between some famous invariant integrals and microcrack damage descriptions. The second is the direct extension from the understandings established in Fracture Mechanics for conventional materials to those for functional materials. In the first point it discusses the vanishing nature for both components of the Jk-integral vector when the closed contour encloses all discontinuities completely. Both mathematical manipulations and numerical examinations are given. Thus the M-integral and the L-integral are independent of coordinate shifts and, more significantly, the M-integral presents a new description for the damage level of a microcracking brittle solid. In the second point it discusses the direct extension from the basic understandings established in Linear Elastic Fracture Mechanics to those for functional materials, e.g., piezoelectric ceramics. Owing to the mechanical and electric coupling, some new insights of energy release rates are discussed in detail.