Dynamic Fracture of Piezoelectric Materials

This book offers a step-by-step tutorial for the application of the Boundary Integral Equation Method in mechanics. Two major parts of the book are devoted to the solution of problems in homogeneous and inhomogeneous solids.

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.

Step-by-step tutorial for application of Boundary Integral Equation Method in mechanics Includes methodology for numerical modeling of dynamic Fracture Mechanics problems Test and benchmark examples, validated numerical schemes and algorithms for creating scientific software Provides good mathematical basis for derivation of fundamental solutions for coupled problems of modern multifunctional materials Includes supplementary material: sn.pub/extras

Inhalt

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 crackhole interaction in a functionally graded piezoelectric medium.-
Index.