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.


Book Synopsis Fracture Mechanics of Piezoelectric Solids with Interface Cracks by : Volodymyr Govorukha

Download or read book Fracture Mechanics of Piezoelectric Solids with Interface Cracks written by Volodymyr Govorukha and published by Springer. This book was released on 2017-03-14 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Book Synopsis Fracture Mechanics of Piezoelectric and Ferroelectric Solids by : Daining Fang

Download or read book Fracture Mechanics of Piezoelectric and Ferroelectric Solids written by Daining Fang and published by Springer Science & Business Media. This book was released on 2014-12-12 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.


Book Synopsis Fracture Mechanics of Electrically Passive and Active Composites with Periodic Cracking along the Interface by : Sergey Kozinov

Download or read book Fracture Mechanics of Electrically Passive and Active Composites with Periodic Cracking along the Interface written by Sergey Kozinov and published by Springer Nature. This book was released on 2020-03-21 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Book Synopsis Fracture Mechanics of Piezoelectric Materials by : Qing-Hua Qin

Download or read book Fracture Mechanics of Piezoelectric Materials written by Qing-Hua Qin and published by Witpress. This book was released on 2001 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Theoretical Study of Fracture of Piezoelectric Solids

A Theoretical Study of Fracture of Piezoelectric Solids

Author:

Publisher:

Published: 2001

Total Pages:

ISBN-13:

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Book Synopsis A Theoretical Study of Fracture of Piezoelectric Solids by :

Download or read book A Theoretical Study of Fracture of Piezoelectric Solids written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Theoretical Study of Fracture of Piezoelectric Solids

A Theoretical Study of Fracture of Piezoelectric Solids

Author:

Publisher:

Published: 2001

Total Pages:

ISBN-13:

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This thesis presents a theoretical study of fracture mechanics of piezoelectric materials. Based on the literature review, a selected set of basic problems related to linear fracture mechanics of plane piezoelectric media are examined. A comprehensive study of a plane piezoelectric medium with an arbitrarily oriented elliptical void and a straight crack is presented first. A set of complete analytical solutions for electroelastic fields around the void and at the crack tip are derived for different types of electric boundary conditions. It is found that solutions based on the special cases of defect orientation, i.e. defects parallel or perpendicular to the poling direction, cannot be always considered as the critical case. It is shown that the Hao and Shen type electric boundary conditions reduce to impermeable or permeable boundary conditions under practical situations. The branched cracks are then studied as the logical extension of straight cracks. It is found that branch closure happens for certain cases of branch length, branch angle and loading condition. It is shown that the asymptotic electroelastic fields at a branch tip have complex dependence on branch length, branch angle, crack orientation and the type of loading. The influence of applied electric loading is found to be more complicated and significant than mechanical loading. The issue of fracture criteria is examined next. A new stress-based criterion and two energy-based criteria are proposed to predict crack propagation in piezoelectrics. The criteria of modified hoop stress intensity factor and modified strain energy release rate suggest that, even in a symmetric case (loading and geometry), a crack may branch off from a straight path, which qualitatively agrees with available experimental findings. Finally, a general method of obtaining electroelastic singularities in piezoelectric wedges and composite piezoelectric wedges/junctions is successfully developed as a precursor to the study of fractur.


Book Synopsis A Theoretical Study of Fracture of Piezoelectric Solids by :

Download or read book A Theoretical Study of Fracture of Piezoelectric Solids written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a theoretical study of fracture mechanics of piezoelectric materials. Based on the literature review, a selected set of basic problems related to linear fracture mechanics of plane piezoelectric media are examined. A comprehensive study of a plane piezoelectric medium with an arbitrarily oriented elliptical void and a straight crack is presented first. A set of complete analytical solutions for electroelastic fields around the void and at the crack tip are derived for different types of electric boundary conditions. It is found that solutions based on the special cases of defect orientation, i.e. defects parallel or perpendicular to the poling direction, cannot be always considered as the critical case. It is shown that the Hao and Shen type electric boundary conditions reduce to impermeable or permeable boundary conditions under practical situations. The branched cracks are then studied as the logical extension of straight cracks. It is found that branch closure happens for certain cases of branch length, branch angle and loading condition. It is shown that the asymptotic electroelastic fields at a branch tip have complex dependence on branch length, branch angle, crack orientation and the type of loading. The influence of applied electric loading is found to be more complicated and significant than mechanical loading. The issue of fracture criteria is examined next. A new stress-based criterion and two energy-based criteria are proposed to predict crack propagation in piezoelectrics. The criteria of modified hoop stress intensity factor and modified strain energy release rate suggest that, even in a symmetric case (loading and geometry), a crack may branch off from a straight path, which qualitatively agrees with available experimental findings. Finally, a general method of obtaining electroelastic singularities in piezoelectric wedges and composite piezoelectric wedges/junctions is successfully developed as a precursor to the study of fractur.

Dynamic Fracture of Piezoelectric Materials

Dynamic Fracture of Piezoelectric Materials

Author: Petia Dineva

Publisher: Springer Science & Business Media

Published: 2014-01-30

Total Pages: 250

ISBN-13: 331903961X

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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.


Book Synopsis Dynamic Fracture of Piezoelectric Materials by : Petia Dineva

Download or read book Dynamic Fracture of Piezoelectric Materials written by Petia Dineva and published by Springer Science & Business Media. This book was released on 2014-01-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Mechanics of Piezoelectricity

Advanced Mechanics of Piezoelectricity

Author: Qinghua Qin

Publisher: Springer Science & Business Media

Published: 2012-11-29

Total Pages: 339

ISBN-13: 3642297676

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"Advanced Mechanics of Piezoelectricity" presents a comprehensive treatment of piezoelectric materials using linear electroelastic theory, symplectic models, and Hamiltonian systems. It summarizes the current state of practice and presents the most recent research findings in piezoelectricity. It is intended for researchers and graduate students in the fields of applied mechanics, material science and engineering, computational engineering, and aerospace engineering. Dr. Qinghua Qin is a professor at the School of Engineering, Australian National University, Australia.


Book Synopsis Advanced Mechanics of Piezoelectricity by : Qinghua Qin

Download or read book Advanced Mechanics of Piezoelectricity written by Qinghua Qin and published by Springer Science & Business Media. This book was released on 2012-11-29 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Advanced Mechanics of Piezoelectricity" presents a comprehensive treatment of piezoelectric materials using linear electroelastic theory, symplectic models, and Hamiltonian systems. It summarizes the current state of practice and presents the most recent research findings in piezoelectricity. It is intended for researchers and graduate students in the fields of applied mechanics, material science and engineering, computational engineering, and aerospace engineering. Dr. Qinghua Qin is a professor at the School of Engineering, Australian National University, Australia.

Special Topics in the Theory of Piezoelectricity

Special Topics in the Theory of Piezoelectricity

Author: Jiashi Yang

Publisher: Springer Science & Business Media

Published: 2010-06-08

Total Pages: 340

ISBN-13: 0387894985

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Piezoelectricity has been a steadily growing field, with recent advances made by researchers from applied physics, acoustics, materials science, and engineering. This collective work presents a comprehensive treatment of selected advanced topics in the subject. The book is written for an intermediate graduate level and is intended for researchers, mechanical engineers, and applied mathematicians interested in the advances and new applications in piezoelectricity.


Book Synopsis Special Topics in the Theory of Piezoelectricity by : Jiashi Yang

Download or read book Special Topics in the Theory of Piezoelectricity written by Jiashi Yang and published by Springer Science & Business Media. This book was released on 2010-06-08 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Piezoelectricity has been a steadily growing field, with recent advances made by researchers from applied physics, acoustics, materials science, and engineering. This collective work presents a comprehensive treatment of selected advanced topics in the subject. The book is written for an intermediate graduate level and is intended for researchers, mechanical engineers, and applied mathematicians interested in the advances and new applications in piezoelectricity.

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


Book Synopsis Modern Theory of Anisotropic Elasticity and Applications by : Julian J. Wu

Download or read book Modern Theory of Anisotropic Elasticity and Applications written by Julian J. Wu and published by SIAM. This book was released on 1991-01-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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