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.
Author(s): Petia Dineva, Dietmar Gross, Ralf Müller, Tsviatko Rangelov (auth.)
Series: Solid Mechanics and Its Applications 212
Edition: 1
Publisher: Springer International Publishing
Year: 2014
Language: English
Pages: 249
Tags: Theoretical and Applied Mechanics; Computational Science and Engineering; Optical and Electronic Materials
Front Matter....Pages i-xiv
Introduction....Pages 1-3
Front Matter....Pages 5-5
Piezoelectric Materials....Pages 7-32
Fundamental Solutions....Pages 33-57
Numerical Realization by BIEM....Pages 59-78
Front Matter....Pages 79-79
Steady-State Problems in a Cracked Anisotropic Domain....Pages 81-91
2D Wave Scattering by Cracks in a Piezoelectric Plane....Pages 93-103
Piezoelectric Cracked Finite Solids Under Time-Harmonic Loading....Pages 105-116
Dynamic Crack Interaction in Piezoelectric and Anisotropic Solids....Pages 117-131
Different Electric Boundary Conditions....Pages 133-146
Front Matter....Pages 147-147
In-plane Crack Problems in Functionally Graded Piezoelectric Solids....Pages 149-163
Functionally Graded Piezoelectric Media with a Single Anti-plane Crack....Pages 165-181
Multiple Anti-plane Cracks in Quadratically Inhomogeneous Piezoelectric Finite Solids....Pages 183-197
Anti-plane Cracks in Exponentially Inhomogeneous Finite Piezoelectric Solid....Pages 199-214
Exponentially Inhomogeneous Piezoelectric Solid with a Circular Anti-plane Hole....Pages 215-232
Anti-plane Dynamic Crack–Hole Interaction in a Functionally Graded Piezoelectric Medium....Pages 233-245
Back Matter....Pages 247-249
