A Theoretical Study of Fracture of Piezoelectric Solids

A Theoretical Study of Fracture of Piezoelectric Solids PDF Author: Steven Xilin Xu
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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A Theoretical Study of Fracture of Piezoelectric Solids

A Theoretical Study of Fracture of Piezoelectric Solids PDF Author: Steven Xilin Xu
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description


A Theoretical Study of Fracture of Piezoelectric Solids

A Theoretical Study of Fracture of Piezoelectric Solids PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
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.

Fracture Mechanics of Piezoelectric and Ferroelectric Solids

Fracture Mechanics of Piezoelectric and Ferroelectric Solids PDF Author: Daining Fang
Publisher: Springer Science & Business Media
ISBN: 3642300871
Category : Science
Languages : en
Pages : 430

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Book Description
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.

Dynamic Fracture of Piezoelectric Materials

Dynamic Fracture of Piezoelectric Materials PDF Author: Petia Dineva
Publisher: Springer Science & Business Media
ISBN: 331903961X
Category : Technology & Engineering
Languages : en
Pages : 250

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Book Description
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.

Fracture Mechanics of Piezoelectric Solids with Interface Cracks

Fracture Mechanics of Piezoelectric Solids with Interface Cracks PDF Author: Volodymyr Govorukha
Publisher: Springer
ISBN: 3319535536
Category : Science
Languages : en
Pages : 239

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Book Description
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.

Special Topics in the Theory of Piezoelectricity

Special Topics in the Theory of Piezoelectricity PDF Author: Jiashi Yang
Publisher: Springer Science & Business Media
ISBN: 0387894985
Category : Mathematics
Languages : en
Pages : 340

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Book Description
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.

Deformation and Fracture Analysis of Piezoelectric Materials Using Theoretical, Experimental and Numerical Techniques

Deformation and Fracture Analysis of Piezoelectric Materials Using Theoretical, Experimental and Numerical Techniques PDF Author: Kwok-Lun Lee
Publisher: Open Dissertation Press
ISBN: 9781374785434
Category :
Languages : en
Pages :

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Book Description
This dissertation, "Deformation and Fracture Analysis of Piezoelectric Materials Using Theoretical, Experimental and Numerical Techniques" by Kwok-lun, Lee, 李國綸, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b3124438 Subjects: Piezoelectric devices - Materials - Fracture Piezoelectric ceramics - Fracture Fracture mechanics - Mathematics

Fracture Mechanics Of Electromagnetic Materials: Nonlinear Field Theory And Applications

Fracture Mechanics Of Electromagnetic Materials: Nonlinear Field Theory And Applications PDF Author: Xiaohong Chen
Publisher: World Scientific
ISBN: 1908977205
Category : Technology & Engineering
Languages : en
Pages : 326

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Book Description
Fracture Mechanics of Electromagnetic Materials provides a comprehensive overview of fracture mechanics of conservative and dissipative materials, as well as a general formulation of nonlinear field theory of fracture mechanics and a rigorous treatment of dynamic crack problems involving coupled magnetic, electric, thermal and mechanical field quantities.Thorough emphasis is placed on the physical interpretation of fundamental concepts, development of theoretical models and exploration of their applications to fracture characterization in the presence of magneto-electro-thermo-mechanical coupling and dissipative effects. Mechanical, aeronautical, civil, biomedical, electrical and electronic engineers interested in application of the principles of fracture mechanics to design analysis and durability evaluation of smart structures and devices will find this book an invaluable resource./a

Fracture Mechanics of Piezoelectric Materials

Fracture Mechanics of Piezoelectric Materials PDF Author: Qing-Hua Qin
Publisher: Witpress
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 308

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Book Description
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.

Advanced Mechanics of Piezoelectricity

Advanced Mechanics of Piezoelectricity PDF Author: Qinghua Qin
Publisher: Springer Science & Business Media
ISBN: 3642297676
Category : Technology & Engineering
Languages : en
Pages : 339

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Book Description
"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.