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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.

Engineering. --- Optical and electronic materials. --- Piezoelectric materials -- Fracture. --- Piezoelectric materials --- Boundary element methods --- Fracture. --- Data processing. --- BEM (Engineering analysis) --- BIE analysis --- BIE methods --- Boundary element analysis --- Boundary elements methods --- Boundary integral equation analysis --- Boundary integral equation methods --- Boundary integral methods --- Materials, Piezoelectric --- Computer mathematics. --- Mechanics. --- Mechanics, Applied. --- Optical materials. --- Electronic materials. --- Theoretical and Applied Mechanics. --- Computational Science and Engineering. --- Optical and Electronic Materials. --- Numerical analysis --- Mechanics, applied. --- Computer science. --- Optics --- Materials --- Informatics --- Science --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Electronic materials --- Computer mathematics --- Electronic data processing --- Mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory

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This book focuses on the mathematical potential and computational efficiency of the Boundary Element Method (BEM) for modeling seismic wave propagation in either continuous or discrete inhomogeneous elastic/viscoelastic, isotropic/anisotropic media containing multiple cavities, cracks, inclusions and surface topography. BEM models may take into account the entire seismic wave path from the seismic source through the geological deposits all the way up to the local site under consideration. The general presentation of the theoretical basis of elastodynamics for inhomogeneous and heterogeneous continua in the first part is followed by the analytical derivation of fundamental solutions and Green's functions for the governing field equations by the usage of Fourier and Radon transforms. The numerical implementation of the BEM is for antiplane in the second part as well as for plane strain boundary value problems in the third part. Verification studies and parametric analysis appear throughout the book, as do both recent references and seminal ones from the past. Since the background of the authors is in solid mechanics and mathematical physics, the presented BEM formulations are valid for many areas such as civil engineering, geophysics, material science and all others concerning elastic wave propagation through inhomogeneous and heterogeneous media. The material presented in this book is suitable for self-study. The book is written at a level suitable for advanced undergraduates or beginning graduate students in solid mechanics, computational mechanics and fracture mechanics.

Geotechnical engineering. --- Computer mathematics. --- Theoretical and Applied Mechanics. --- Simulation and Modeling. --- Geotechnical Engineering & Applied Earth Sciences. --- Waves, Seismic --- BEM (Engineering analysis) --- BIE analysis --- BIE methods --- Boundary element analysis --- Boundary elements methods --- Boundary integral equation analysis --- Boundary integral equation methods --- Boundary integral methods --- Engineering. --- Computer simulation. --- Mechanics. --- Mechanics, Applied. --- Computational Science and Engineering. --- Boundary element methods. --- Seismic waves. --- Elastic waves --- Numerical analysis --- Mechanics, applied. --- Computer science. --- Informatics --- Science --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Computer mathematics --- Electronic data processing --- Mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory