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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.
List of contents
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.
About the author
Dietmar Gross, geboren 1957 im Saarland, lebt heute in der Nähe von Mainz.§1978-1984 Studium der Malerei und der Zeichnung, seit 1984 Freier Maler§Von 1976 bis 2002 etwa hundert Ausstellungen. Nationale und internationale Auszeichnungen, u. a. 1984: Kahnweiler-Preis für Malerei.
Summary
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.
Additional text
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)
Report
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)
